Estimating maximum initial wave amplitude of subaerial landslide tsunamis: A three-dimensional modelling approach

해저 산사태 쓰나미의 최대 초기 파동 진폭 추정: 3차원 모델링 접근법

Ramtin Sabeti ^a, Mohammad Heidarzadeh ^ab

^aDepartment of Architecture and Civil Engineering, University of Bath, Bath BA27AY, UK
^bHydroCoast Consulting Engineers Ltd, Bath, UK

https://doi.org/10.1016/j.ocemod.2024.102360

Highlights

•Landslide travel distance is considered for the first time in a predictive equation.
•Predictive equation derived from databases using 3D physical and numerical modeling.
•The equation was successfully tested on the 2018 Anak Krakatau tsunami event.
•The developed equation using three-dimensional data exhibits a 91 % fitting quality.

Abstract

Landslide tsunamis, responsible for thousands of deaths and significant damage in recent years, necessitate the allocation of sufficient time and resources for studying these extreme natural hazards. This study offers a step change in the field by conducting a large number of three-dimensional numerical experiments, validated by physical tests, to develop a predictive equation for the maximum initial amplitude of tsunamis generated by subaerial landslides. We first conducted a few 3D physical experiments in a wave basin which were then applied for the validation of a 3D numerical model based on the Flow3D-HYDRO package. Consequently, we delivered 100 simulations using the validated model by varying parameters such as landslide volume, water depth, slope angle and travel distance. This large database was subsequently employed to develop a predictive equation for the maximum initial tsunami amplitude. For the first time, we considered travel distance as an independent parameter for developing the predictive equation, which can significantly improve the predication accuracy. The predictive equation was tested for the case of the 2018 Anak Krakatau subaerial landslide tsunami and produced satisfactory results.

Keywords

Tsunami, Subaerial landslide, Physical modelling, Numerical simulation, FLOW-3D HYDRO

1. Introduction and literature review

The Anak Krakatau landslide tsunami on 22nd December 2018 was a stark reminder of the dangers posed by subaerial landslide tsunamis (Ren et al., 2020; Mulia et al. 2020a; Borrero et al., 2020; Heidarzadeh et al., 2020; Grilli et al., 2021). The collapse of the volcano’s southwest side into the ocean triggered a tsunami that struck the Sunda Strait, leading to approximately 450 fatalities (Syamsidik et al., 2020; Mulia et al., 2020b) (Fig. 1). As shown in Fig. 1, landslide tsunamis (both submarine and subaerial) have been responsible for thousands of deaths and significant damage to coastal communities worldwide. These incidents underscored the critical need for advanced research into landslide-generated waves to aid in hazard prediction and mitigation. This is further emphasized by recent events such as the 28th of November 2020 landslide tsunami in the southern coast mountains of British Columbia (Canada), where an 18 million m³ rockslide generated a massive tsunami, with over 100 m wave run-up, causing significant environmental and infrastructural damage (Geertsema et al., 2022).

Physical modelling and numerical simulation are crucial tools in the study of landslide-induced waves due to their ability to replicate and analyse the complex dynamics of landslide events (Kim et al., 2020). In two-dimensional (2D) modelling, the discrepancy between dimensions can lead to an artificial overestimation of wave amplification (e.g., Heller and Spinneken, 2015). This limitation is overcome with 3D modelling, which enables the scaled-down representation of landslide-generated waves while avoiding the simplifications inherent in 2D approaches (Erosi et al., 2019). Another advantage of 3D modelling in studying landslide-generated waves is its ability to accurately depict the complex dynamics of wave propagation, including lateral and radial spreading from the slide impact zone, a feature unattainable with 2D models (Heller and Spinneken, 2015).

Physical experiments in tsunami research, as presented by authors such as Romano et al. (2020), McFall and Fritz (2016), and Heller and Spinneken (2015), have supported 3D modelling works through validation and calibration of the numerical models to capture the complexities of wave generation and propagation. Numerical modelling has increasingly complemented experimental approach in tsunami research due to the latter’s time and resource-intensive nature, particularly for 3D models (Li et al., 2019; Kim et al., 2021). Various numerical approaches have been employed, from Eulerian and Lagrangian frameworks to depth-averaged and Navier–Stokes models, enhancing our understanding of tsunami dynamics (Si et al., 2018; Grilli et al., 2019; Heidarzadeh et al., 2017, 2020; Iorio et al., 2021; Zhang et al., 2021; Kirby et al., 2022; Wang et al., 2021, 2022; Hu et al., 2022). The sophisticated numerical techniques, including the Particle Finite Element Method and the Immersed Boundary Method, have also shown promising results in modelling highly dynamic landslide scenarios (Mulligan et al., 2020; Chen et al., 2020). Among these methods and techniques, FLOW-3D HYDRO stands out in simulating landslide-generated tsunami waves due to its sophisticated technical features such as offering Tru Volume of Fluid (VOF) method for precise free surface tracking (e.g., Sabeti and Heidarzadeh 2022a). TruVOF distinguishes itself through a split Lagrangian approach, adeptly reducing cumulative volume errors in wave simulations by dynamically updating cell volume fractions and areas with each time step. Its intelligent adaptation of time step size ensures precise capture of evolving free surfaces, offering unparalleled accuracy in modelling complex fluid interfaces and behaviour (Flow Science, 2023).

Predictive equations play a crucial role in assessing the potential hazards associated with landslide-generated tsunami waves due to their ability to provide risk assessment and warnings. These equations can offer swift and reasonable evaluations of potential tsunami impacts in the absence of detailed numerical simulations, which can be time-consuming and expensive to produce. Among multiple factors and parameters within a landslide tsunami generation, the initial maximum wave amplitude (Fig. 1) stands out due to its critical role. While it is most likely that the initial wave generated by a landslide will have the highest amplitude, it is crucial to clarify that the term “initial maximum wave amplitude” refers to the highest amplitude within the first set of impulse waves. This parameter is essential in determining the tsunami’s impact severity, with higher amplitudes signalling a greater destructive potential (Sabeti and Heidarzadeh 2022a). Additionally, it plays a significant role in tsunami modelling, aiding in the prediction of wave propagation and the assessment of potential impacts.

In this study, we initially validate the FLOW-3D HYDRO model through a series of physical experiments conducted in a 3D wave tank at University of Bath (UK). Upon confirmation of the model’s accuracy, we use it to systematically vary parameters namely landslide volume, water depth, slope angle, and travel distance, creating an extensive database. Alongside this, we perform a sensitivity analysis on these variables to discern their impacts on the initial maximum wave amplitude. The generated database was consequently applied to derive a non-dimensional predictive equation aimed at estimating the initial maximum wave amplitude in real-world landslide tsunami events.

Two innovations of this study are: (i) The predictive equation of this study is based on a large number of 3D experiments whereas most of the previous equations were based on 2D results, and (ii) For the first time, the travel distance is included in the predictive equation as an independent parameter. To evaluate the performance of our predictive equation, we applied it to a previous real-world subaerial landslide tsunami, i.e., the Anak Krakatau 2018 event. Furthermore, we compare the performance of our predictive equation with other existing equations.

2. Data and methods

The methodology applied in this research is a combination of physical and numerical modelling. Limited physical modelling was performed in a 3D wave basin at the University of Bath (UK) to provide data for calibration and validation of the numerical model. After calibration and validation, the numerical model was employed to model a large number of landslide tsunami scenarios which allowed us to develop a database for deriving a predictive equation.

2.1. Physical experiments

To validate our numerical model, we conducted a series of physical experiments including two sets in a 3D wave basin at University of Bath, measuring 2.50 m in length (W_L), 2.60 m in width (W_W), and 0.60 m in height (W_H) (Fig. 2a). Conducting two distinct sets of experiments (Table 1), each with different setups (travel distance, location, and water depth), provided a robust framework for validation of the numerical model. For wave measurement, we employed a twin wire wave gauge from HR Wallingford (https://equipit.hrwallingford.com). In these experiments, we used a concrete prism solid block, the dimensions of which are outlined in Table 2. In our experiments, we employed a concrete prism solid block with a density of 2600 kg/m³, chosen for its similarity to the natural density of landslides, akin to those observed with the 2018 Anak Krakatau tsunami, where the landslide composition is predominantly solid rather than granular. The block’s form has also been endorsed in prior studies (Watts, 1998; Najafi-Jilani and Ataie-Ashtiani, 2008) as a suitable surrogate for modelling landslide-induced waves. A key aspect of our methodology was addressing scale effects, following the guidelines proposed by Heller et al. (2008) as it is described in Table 1. To enhance the reliability and accuracy of our experimental data, we conducted each physical experiment three times which revealed all three experimental waveforms were identical. This repetition was aimed at minimizing potential errors and inconsistencies in laboratory measurements.

Table 1. The locations and other information of the laboratory setups for making landslide-generated waves in the physical wave basin. This table details the specific parameters for each setup, including slope range (α), slide volume (V), kinematic viscosity (ν), water depth (h), travel distance (D), surface tension coefficient of water (σ), Reynolds number (R), Weber number (W), and the precise coordinates of the wave gauges (WG).

Lab	α(°)	V (m³)	h (m)	D (m)		(ν) (m²/s)	(σ) (N/m)	Acceptable range for avoiding scale effects*	Observed values of W and R ^⁎⁎
Lab 1	45	2.60 × 10⁻³	0.247	0.070	X₁=1.090 m	1.01 × 10⁻⁶	0.073	R > 3.0 × 10⁵	R₁ = 3.80 × 10⁵
					Y₁=1.210 m				R₁ = 3.80 × 10⁵
					Y₁=1.210 m				W₁ = 8.19 × 10⁵
					Z₁=0.050m			W >5.0 × 10³	W₁ = 8.19 × 10⁵
Lab 2	45	2.60 × 10⁻³	0.246	0.045	X₂=1.030 m	1.01 × 10⁻⁶	0.073		R₂ = 3.78 × 10⁵
					Y₂=1.210 m				W₂ = 8.13 × 10⁵
					Z₂=0.050 m				W₂ = 8.13 × 10⁵

⁎

The acceptable ranges for avoiding scale effects are based on the study by Heller et al. (2008).⁎⁎

The Reynolds number (R) is given by g^0.5h^1.5/ν, with ν denoting the kinematic viscosity. The Weber number (W) is W = ρgh²/σ, where σ represents surface tension coefficient and ρ = 1000kg/m³ is the density of water. In our experiments, conducted at a water temperature of approximately 20 °C, the kinematic viscosity (ν) and the surface tension coefficient of water (σ) are 1.01 × 10⁻⁶ m²/s and 0.073 N/m, respectively (Kestin et al., 1978).

Table 2. Specifications of the solid block used in physical experiments for generating subaerial landslides in the laboratory.

Solid-block attributes	Property metrics	Geometric shape
Slide width (b_s)	0.26 m
Slide length (l_s)	0.20 m
Slide thickness (s)	0.10 m
Slide volume (V)	2.60 × 10⁻³ m³
Specific gravity, (γ_s)	2.60
Slide weight (m_s)	6.86 kg

2.2. Numerical simulations applying FLOW-3D hydro

The detailed theoretical framework encompassing the governing equations, the computational methodologies employed, and the specific techniques used for tracking the water surface in these simulations are thoroughly detailed in the study by Sabeti et al. (2024). Here, we briefly explain some of the numerical details. We defined a uniform mesh for our flow domain, carefully crafted with a fine spatial resolution of 0.005 m (i.e., grid size). The dimensions of the numerical model directly matched those of our wave basin used in the physical experiment, being 2.60 m wide, 0.60 m deep, and 2.50 m long (Fig. 2). This design ensures comprehensive coverage of the study area. The output intervals of the numerical model are set at 0.02 s. This timing is consistent with the sampling rates of wave gauges used in laboratory settings. The friction coefficient in the FLOW-3D HYDRO is designated as 0.45. This value corresponds to the Coulombic friction measurements obtained in the laboratory, ensuring that the simulation accurately reflects real-world physical interactions.

In order to simulate the landslide motion, we applied coupled motion objects in FLOW-3D-HYDRO where the dynamics are predominantly driven by gravity and surface friction. This methodology stands in contrast to other models that necessitate explicit inputs of force and torque. This approach ensures that the simulation more accurately reflects the natural movement of landslides, which is heavily reliant on gravitational force and the interaction between sliding surfaces. The stability of the numerical simulations is governed by the Courant Number criterion (Courant et al., 1928), which dictates the maximum time step (Δt) for a given mesh size (Δx) and flow speed (U). According to Courant et al. (1928), this number is required to stay below one to ensure stability of numerical simulations. In our simulations, the Courant number is always maintained below one.

In alignment with the parameters of physical experiments, we set the fluid within the mesh to water, characterized by a density of 1000 kg/m³ at a temperature of 20 °C. Furthermore, we defined the top, front, and back surfaces of the mesh as symmetry planes. The remaining surfaces are designated as wall types, incorporating no-slip conditions to accurately simulate the interaction between the fluid and the boundaries. In terms of selection of an appropriate turbulence model, we selected the k–ω model that showed a better performance than other turbulence methods (e.g., Renormalization-Group) in a previous study (Sabeti et al., 2024). The simulations are conducted using a PC Intel® Core™ i7-10510U CPU with a frequency of 1.80 GHz, and a 16 GB RAM. On this PC, completion of a 3-s simulation required approximately 12.5 h.

2.3. Validation

The FLOW-3D HYDRO numerical model was validated using the two physical experiments (Fig. 3) outlined in Table 1. The level of agreement between observations (O_i) and simulations (S_i) is examined using the following equation:(1)�=|��−��|×100where ε represents the mismatch error, O_i denotes the observed laboratory values, and S_i represents the simulated values from the FLOW-3D HYDRO model. The results of this validation process revealed that our model could replicate the waves generated in the physical experiments with a reasonable degree of mismatch (ε): 14 % for Lab 1 and 8 % for Lab 2 experiments, respectively (Fig. 3). These values indicate that while the model is not perfect, it provides a sufficiently close approximation of the real-world phenomena.

In terms of mesh efficiency, we varied the mesh size to study sensitivity of the numerical results to mesh size. First, by halving the mesh size and then by doubling it, we repeated the modelling by keeping other parameters unchanged. This analysis guided that a mesh size of ∆x = 0.005 m is the most effective for the setup of this study. The total number of computational cells applying mesh size of 0.005 m is 9.269 × 10⁶.

2.4. The dataset

The validated numerical model was employed to conduct 100 simulations, incorporating variations in four key landslide parameters namely water depth, slope angle, slide volume, and travel distance. This methodical approach was essential for a thorough sensitivity analysis of these variables, and for the creation of a detailed database to develop a predictive equation for maximum initial tsunami amplitude. Within the model, 15 distinct slide volumes were established, ranging from 0.10 × 10⁻³ m³ to 6.25 × 10⁻³ m³ (Table 3). The slope angle varied between 35° and 55°, and water depth ranged from 0.24 m to 0.27 m. The travel distance of the landslides was varied, spanning from 0.04 m to 0.07 m. Detailed configurations of each simulation, along with the maximum initial wave amplitudes and dominant wave periods are provided in Table 4.

Table 3. Geometrical information of the 15 solid blocks used in numerical modelling for generating landslide tsunamis. Parameters are: l_s, slide length; b_s, slide width; s, slide thickness; γ_s, specific gravity; and V, slide volume.

Solid block	l_s (m)	b_s (m)	s (m)	V (m³)	γ_s
Block-1	0.310	0.260	0.155	6.25 × 10⁻³	2.60
Block-2	0.300	0.260	0.150	5.85 × 10⁻³	2.60
Block-3	0.280	0.260	0.140	5.10 × 10⁻³	2.60
Block-4	0.260	0.260	0.130	4.39 × 10⁻³	2.60
Block-5	0.240	0.260	0.120	3.74 × 10⁻³	2.60
Block-6	0.220	0.260	0.110	3.15 × 10⁻³	2.60
Block-7	0.200	0.260	0.100	2.60 × 10⁻³	2.60
Block-8	0.180	0.260	0.090	2.11 × 10⁻³	2.60
Block-9	0.160	0.260	0.080	1.66 × 10⁻³	2.60
Block-10	0.140	0.260	0.070	1.27 × 10⁻³	2.60
Block-11	0.120	0.260	0.060	0.93 × 10⁻³	2.60
Block-12	0.100	0.260	0.050	0.65 × 10⁻³	2.60
Block-13	0.080	0.260	0.040	0.41 × 10⁻³	2.60
Block-14	0.060	0.260	0.030	0.23 × 10⁻³	2.60
Block-15	0.040	0.260	0.020	0.10 × 10⁻³	2.60

Table 4. The numerical simulation for the 100 tests performed in this study for subaerial solid-block landslide-generated waves. Parameters are a_M, maximum wave amplitude; α, slope angle; h, water depth; D, travel distance; and T, dominant wave period. The location of the wave gauge is X=1.030 m, Y=1.210 m, and Z=0.050 m. The properties of various solid blocks are presented in Table 3.

Test-	Block No	α (°)	h (m)	D (m)	T(s)	a_M (m)
1	Block-7	45	0.246	0.029	0.510	0.0153
2	Block-7	45	0.246	0.030	0.505	0.0154
3	Block-7	45	0.246	0.031	0.505	0.0156
4	Block-7	45	0.246	0.032	0.505	0.0158
5	Block-7	45	0.246	0.033	0.505	0.0159
6	Block-7	45	0.246	0.034	0.505	0.0160
7	Block-7	45	0.246	0.035	0.505	0.0162
8	Block-7	45	0.246	0.036	0.505	0.0166
9	Block-7	45	0.246	0.037	0.505	0.0167
10	Block-7	45	0.246	0.038	0.505	0.0172
11	Block-7	45	0.246	0.039	0.505	0.0178
12	Block-7	45	0.246	0.040	0.505	0.0179
13	Block-7	45	0.246	0.041	0.505	0.0181
14	Block-7	45	0.246	0.042	0.505	0.0183
15	Block-7	45	0.246	0.043	0.505	0.0190
16	Block-7	45	0.246	0.044	0.505	0.0197
17	Block-7	45	0.246	0.045	0.505	0.0199
18	Block-7	45	0.246	0.046	0.505	0.0201
19	Block-7	45	0.246	0.047	0.505	0.0191
20	Block-7	45	0.246	0.048	0.505	0.0217
21	Block-7	45	0.246	0.049	0.505	0.0220
22	Block-7	45	0.246	0.050	0.505	0.0226
23	Block-7	45	0.246	0.051	0.505	0.0236
24	Block-7	45	0.246	0.052	0.505	0.0239
25	Block-7	45	0.246	0.053	0.510	0.0240
26	Block-7	45	0.246	0.054	0.505	0.0241
27	Block-7	45	0.246	0.055	0.505	0.0246
28	Block-7	45	0.246	0.056	0.505	0.0247
29	Block-7	45	0.246	0.057	0.505	0.0248
30	Block-7	45	0.246	0.058	0.505	0.0249
31	Block-7	45	0.246	0.059	0.505	0.0251
32	Block-7	45	0.246	0.060	0.505	0.0257
33	Block-1	45	0.246	0.045	0.505	0.0319
34	Block-2	45	0.246	0.045	0.505	0.0294
35	Block-3	45	0.246	0.045	0.505	0.0282
36	Block-4	45	0.246	0.045	0.505	0.0262
37	Block-5	45	0.246	0.045	0.505	0.0243
38	Block-6	45	0.246	0.045	0.505	0.0223
39	Block-7	45	0.246	0.045	0.505	0.0196
40	Block-8	45	0.246	0.045	0.505	0.0197
41	Block-9	45	0.246	0.045	0.505	0.0198
42	Block-10	45	0.246	0.045	0.505	0.0184
43	Block-11	45	0.246	0.045	0.505	0.0173
44	Block-12	45	0.246	0.045	0.505	0.0165
45	Block-13	45	0.246	0.045	0.404	0.0153
46	Block-14	45	0.246	0.045	0.404	0.0124
47	Block-15	45	0.246	0.045	0.505	0.0066
48	Block-7	45	0.202	0.045	0.404	0.0220
49	Block-7	45	0.204	0.045	0.404	0.0219
50	Block-7	45	0.206	0.045	0.404	0.0218
51	Block-7	45	0.208	0.045	0.404	0.0217
52	Block-7	45	0.210	0.045	0.404	0.0216
53	Block-7	45	0.212	0.045	0.404	0.0215
54	Block-7	45	0.214	0.045	0.505	0.0214
55	Block-7	45	0.216	0.045	0.505	0.0214
56	Block-7	45	0.218	0.045	0.505	0.0213
57	Block-7	45	0.220	0.045	0.505	0.0212
58	Block-7	45	0.222	0.045	0.505	0.0211
59	Block-7	45	0.224	0.045	0.505	0.0208
60	Block-7	45	0.226	0.045	0.505	0.0203
61	Block-7	45	0.228	0.045	0.505	0.0202
62	Block-7	45	0.230	0.045	0.505	0.0201
63	Block-7	45	0.232	0.045	0.505	0.0201
64	Block-7	45	0.234	0.045	0.505	0.0200
65	Block-7	45	0.236	0.045	0.505	0.0199
66	Block-7	45	0.238	0.045	0.404	0.0196
67	Block-7	45	0.240	0.045	0.404	0.0194
68	Block-7	45	0.242	0.045	0.404	0.0193
69	Block-7	45	0.244	0.045	0.404	0.0192
70	Block-7	45	0.246	0.045	0.505	0.0190
71	Block-7	45	0.248	0.045	0.505	0.0189
72	Block-7	45	0.250	0.045	0.505	0.0187
73	Block-7	45	0.252	0.045	0.505	0.0187
74	Block-7	45	0.254	0.045	0.505	0.0186
75	Block-7	45	0.256	0.045	0.505	0.0184
76	Block-7	45	0.258	0.045	0.505	0.0182
77	Block-7	45	0.259	0.045	0.505	0.0183
78	Block-7	45	0.260	0.045	0.505	0.0191
79	Block-7	45	0.261	0.045	0.505	0.0192
80	Block-7	45	0.262	0.045	0.505	0.0194
81	Block-7	45	0.263	0.045	0.505	0.0195
82	Block-7	45	0.264	0.045	0.505	0.0195
83	Block-7	45	0.265	0.045	0.505	0.0197
84	Block-7	45	0.266	0.045	0.505	0.0197
85	Block-7	45	0.267	0.045	0.505	0.0198
86	Block-7	45	0.270	0.045	0.505	0.0199
87	Block-7	30	0.246	0.045	0.505	0.0101
88	Block-7	35	0.246	0.045	0.505	0.0107
89	Block-7	36	0.246	0.045	0.505	0.0111
90	Block-7	37	0.246	0.045	0.505	0.0116
91	Block-7	38	0.246	0.045	0.505	0.0117
92	Block-7	39	0.246	0.045	0.505	0.0119
93	Block-7	40	0.246	0.045	0.505	0.0121
94	Block-7	41	0.246	0.045	0.505	0.0127
95	Block-7	42	0.246	0.045	0.404	0.0154
96	Block-7	43	0.246	0.045	0.404	0.0157
97	Block-7	44	0.246	0.045	0.404	0.0162
98	Block-7	45	0.246	0.045	0.505	0.0197
99	Block-7	50	0.246	0.045	0.505	0.0221
100	Block-7	55	0.246	0.045	0.505	0.0233

In all these 100 simulations, the wave gauge was consistently positioned at coordinates X=1.09 m, Y=1.21 m, and Z=0.05 m. The dominant wave period for each simulation was determined using the Fast Fourier Transform (FFT) function in MATLAB (MathWorks, 2023). Furthermore, the classification of wave types was carried out using a wave categorization graph according to Sorensen (2010), as shown in Fig. 4a. The results indicate that the majority of the simulated waves are on the border between intermediate and deep-water waves, and they are categorized as Stokes waves (Fig. 4a). Four sample waveforms from our 100 numerical experiments are provided in Fig. 4b.

The dataset in Table 4 was used to derive a new predictive equation that incorporates travel distance for the first time to estimate the initial maximum tsunami amplitude. In developing this equation, a genetic algorithm optimization technique was implemented using MATLAB (MathWorks 2023). This advanced approach entailed the use of genetic algorithms (GAs), an evolutionary algorithm type inspired by natural selection processes (MathWorks, 2023). This technique is iterative, involving selection, crossover, and mutation processes to evolve solutions over several generations. The goal was to identify the optimal coefficients and powers for each landslide parameter in the predictive equation, ensuring a robust and reliable model for estimating maximum wave amplitudes. Genetic Algorithms excel at optimizing complex models by navigating through extensive combinations of coefficients and exponents. GAs effectively identify highly suitable solutions for the non-linear and complex relationships between inputs (e.g., slide volume, slope angle, travel distance, water depth) and the output (i.e., maximum initial wave amplitude, a_M). MATLAB’s computational environment enhances this process, providing robust tools for GA to adapt and evolve solutions iteratively, ensuring the precision of the predictive model (Onnen et al., 1997). This approach leverages MATLAB’s capabilities to fine-tune parameters dynamically, achieving an optimal equation that accurately estimates a_M. It is important to highlight that the nondimensionalized version of this dataset is employed to develop a predictive equation which enables the equation to reproduce the maximum initial wave amplitude (a_M) for various subaerial landslide cases, independent of their dimensional differences (e.g., Heler and Hager 2014; Heller and Spinneken 2015; Sabeti and Heidarzadeh 2022b). For this nondimensionalization, we employed the water depth (h) to nondimensionalize the slide volume (V/h³) and travel distance (D/h). The slide thickness (s) was applied to nondimensionalize the water depth (h/s).

2.5. Landslide velocity

In discussing the critical role of landslide velocity for simulating landslide-generated waves, we focus on the mechanisms of landslide motion and the techniques used to record landslide velocity in our simulations (Fig. 5). Also, we examine how these methods were applied in two distinct scenarios: Lab 1 and Lab 2 (see Table 1 for their details). Regarding the process of landslide movement, a slide starts from a stationary state, gaining momentum under the influence of gravity and this acceleration continues until the landslide collides with water, leading to a significant reduction in its speed before eventually coming to a stop (Fig. 5) (e.g., Panizzo et al. 2005).

To measure the landslide’s velocity in our simulations, we attached a probe at the centre of the slide, which supplied a time series of the velocity data. The slide’s velocity (v_s) peaks at the moment it enters the water (Fig. 5), a point referred to as the impact time (t_Imp). Following this initial impact, the slides continue their underwater movement, eventually coming to a complete halt (t_Stop). Given the results in Fig. 5, it can be seen that Lab 1, with its longer travel distance (0.070 m), exhibits a higher peak velocity of 1.89 m/s. This increase in velocity is attributed to the extended travel distance allowing more time for the slide to accelerate under gravity. Whereas Lab 2, featuring a shorter travel distance (0.045 m), records a lower peak velocity of 1.78 m/s. This difference underscores how travel distance significantly influences the dynamics of landslide motion. After reaching the peak, both profiles show a sharp decrease in velocity, marking the transition to submarine motion until the slides come to a complete stop (t_Stop). There are noticeable differences observable in Fig. 5 between the Lab-1 and Lab-2 simulations, including the peaks at 0.3 s . These variations might stem from the placement of the wave gauge, which differs slightly in each scenario, as well as the water depth’s minor discrepancies and, the travel distance.

2.6. Effect of air entrainment

In this section we examine whether it is required to consider air entrainment for our modelling or not as the FLOW-3D HYDRO package is capable of modelling air entrainment. The process of air entrainment in water during a landslide tsunami and its subsequent transport involve two key components: the quantification of air entrainment at the water surface, and the simulation of the air’s transport within the fluid (Hirt, 2003). FLOW-3D HYDRO employs the air entrainment model to compute the volume of air entrained at the water’s surface utilizing three approaches: a constant density model, a variable density model accounting for bulking, and a buoyancy model that adds the Drift-FLUX mechanism to variable density conditions (Flow Science, 2023). The calculation of the entrainment rate is based on the following equation:(2)��=��[2(��−��−2�/��)]1/2where parameters are: V_air, volume of air; C_air, entrainment rate coefficient; A_s, surface area of fluid; ρ, fluid density; k, turbulent kinetic energy; g_n, gravity normal to surface; L_t, turbulent length scale; and σ, surface tension coefficient. The value of k is directly computed from the Reynolds-averaged Navier-Stokes (RANS) (k–w) calculations in our model.

In this study, we selected the variable density + Drift-FLUX model, which effectively captures the dynamics of phase separation and automatically activates the constant density and variable density models. This method simplifies the air-water mixture, treating it as a single, homogeneous fluid within each computational cell. For the phase volume fractions f₁and f₂, the velocities are expressed in terms of the mixture and relative velocities, denoted as u and u_r, respectively, as follows:(3)��1��+�.(�1�)=��1��+�.(�1�)−�.(�1�2��)=0(4)��2��+�.(�2�)=��2��+�.(�2�)−�.(�1�2��)=0

The outcomes from this simulation are displayed in Fig. 6, which indicates that the influence of air entrainment on the generated wave amplitude is approximately 2 %. A value of 0.02 for the entrained air volume fraction means that, in the simulated fluid, approximately 2 % of the volume is composed of entrained air. In other words, for every unit volume of the fluid-air mixture at that location, 2 % is air and the remaining 98 % is water. The configuration of Test-17 (Table 4) was employed for this simulation. While the effect of air entrainment is anticipated to be more significant in models of granular landslide-generated waves (Fritz, 2002), in our simulations we opted not to incorporate this module due to its negligible impact on the results.

3. Results

In this section, we begin by presenting a sequence of our 3D simulations capturing different time steps to illustrate the generation process of landslide-generated waves. Subsequently, we derive a new predictive equation to estimate the maximum initial wave amplitude of landslide-generated waves and assess its performance.

3.1. Wave generation and propagation

To demonstrate the wave generation process in our simulation, we reference Test-17 from Table 4, where we employed Block-7 (Tables 3, 4). In this configuration, the slope angle was set to 45°, with a water depth of 0.246 m and a travel distance at 0.045 m (Fig. 7). At 0.220 s, the initial impact of the moving slide on the water is depicted, marking the onset of the wave generation process (Fig. 7a). Disturbances are localized to the immediate area of impact, with the rest of the water surface remaining undisturbed. At this time, a maximum water particle velocity of 1.0 m/s – 1.2 m/s is seen around the impact zone (Fig. 7d). Moving to 0.320 s, the development of the wave becomes apparent as energy transfer from the landslide to the water creates outwardly radiating waves with maximum water particle velocity of up to around 1.6 m/s – 1.8 m/s (Fig. 7b, e). By the time 0.670 s, the wave has fully developed and is propagating away from the impact point exhibiting maximum water particle velocity of up to 2.0 m/s – 2.1 m/s. Concentric wave fronts are visible, moving outwards in all directions, with a colour gradient signifying the highest wave amplitude near the point of landslide entry, diminishing with distance (Fig. 7c, f).

3.2. Influence of landslide parameters on tsunami amplitude

In this section, we investigate the effects of various landslide parameters namely slide volume (V), water depth (h), slipe angle (α) and travel distance (D) on the maximum initial wave amplitude (a_M). Fig. 8 presents the outcome of these analyses. According to Fig. 8, the slide volume, slope angle, and travel distance exhibit a direct relationship with the wave amplitude, meaning that as these parameters increase, so does the amplitude. Conversely, water depth is inversely related to the maximum initial wave amplitude, suggesting that the deeper the water depth, the smaller the maximum wave amplitude will be (Fig. 8b).

Fig. 8a highlights the pronounced impact of slide volume on the a_M, demonstrating a direct correlation between the two variables. For instance, in the range of slide volumes we modelled (Fig. 8a), The smallest slide volume tested, measuring 0.10 × 10⁻³ m³, generated a low initial wave amplitude (a_M= 0.0066 m) (Table 4). In contrast, the largest volume tested, 6.25 × 10⁻³ m³, resulted in a significantly higher initial wave amplitude (a_M= 0.0319 m) (Table 4). The extremities of these results emphasize the slide volume’s paramount impact on wave amplitude, further elucidated by their positions as the smallest and largest a_M values across all conducted tests (Table 4). This is corroborated by findings from the literature (e.g., Murty, 2003), which align with the observed trend in our simulations.

The slope angle’s influence on a_M was smooth. A steady increase of wave amplitude was observed as the slope angle increased (Fig. 8c). In examining travel distance, an anomaly was identified. At a travel distance of 0.047 m, there was an unexpected dip in a_M, which deviates from the general increasing trend associated with longer travel distances. This singular instance could potentially be attributed to a numerical error. Beyond this point, the expected pattern of increasing a_M with longer travel distances resumes, suggesting that the anomaly at 0.047 m is an outlier in an otherwise consistent trend, and thus this single data point was overlooked while deriving the predictive equation. Regarding the inverse relationship between water depth and wave amplitude, our result (Fig. 8b) is consistent with previous reports by Fritz et al. (2003), (2004), and Watts et al. (2005).

The insights from Fig. 8 informed the architecture of the predictive equation in the next Section, with slide volume, travel distance, and slope angle being multiplicatively linked to wave amplitude underscoring their direct correlations with wave amplitude. Conversely, water depth is incorporated as a divisor, representing its inverse relationship with wave amplitude. This structure encapsulates the dynamics between the landslide parameters and their influence on the maximum initial wave amplitude as discussed in more detail in the next Section.

3.3. Predictive equation

Building on our sensitivity analysis of landslide parameters, as detailed in Section 3.2, and utilizing our nondimensional dataset, we have derived a new predictive equation as follows:(5)��/ℎ=0.015(tan�)0.10(�ℎ3)0.90(�ℎ)0.10(ℎ�)−0.11where, V is sliding volume, h is water depth, α is slope angle, and s is landslide thickness. It is important to note that this equation is valid only for subaerial solid-block landslide tsunamis as all our experiments were for this type of waves. The performance of this equation in predicting simulation data is demonstrated by the satisfactory alignment of data points around a 45° line, indicating its accuracy and reliability with regard to the experimental dataset (Fig. 9). The quality of fit between the dataset and Eq. (5) is 91 % indicating that Eq. (5) represents the dataset very well. Table 5 presents Eq. (5) alongside four other similar equations previously published. Two significant distinctions between our Eq. (5) and these others are: (i) Eq. (5) is derived from 3D experiments, whereas the other four equations are based on 2D experiments. (ii) Unlike the other equations, our Eq. (5) incorporates travel distance as an independent parameter.

Table 5. Performance comparison among our newly-developed equation and existing equations for estimating the maximum initial amplitude (a_M) of the 2018 Anak Krakatau subaerial landslide tsunami. Parameters: a_M, initial maximum wave amplitude; h, water depth; v_s, landslide velocity; V, slide volume; b_s, slide width; l_s, slide length; s, slide thickness; α, slope angle; and ��, volume of the final immersed landslide. We considered ��= V as the slide volume.

Event	Predictive equations	Author (year)	Observed a_M (m) ^⁎⁎	Calculated a_M (m)	Error, ε (%) ^⁎⁎⁎⁎
2018 Anak Krakatau tsunami (Subaerial landslide) *	��/ℎ=1.32��ℎ	Noda (1970)	134	134	0
	��/ℎ=0.667(0.5(��ℎ)2)0.334(��)0.754(��)0.506(�ℎ)1.631	Bolin et al. (2014) ^⁎⁎⁎	134	5942	4334
	��/ℎ=0.25(��ℎ2)0.8	Robbe-Saule et al. (2021)	134	31	77
	��/ℎ=0.4545(tan�)0.062(�ℎ3)0.296(ℎ�)−0.235	Sabeti and Heidarzadeh (2022b)	134	126	6
	��/ℎ=0.015(tan�)0.10(�ℎ3)0.911(�ℎ)0.10(ℎ�)−0.11	This study	134	130	2.9

⁎

Geometrical and kinematic parameters of the 2018 Anak Krakatau subaerial landslide based on Heidarzadeh et al. (2020), Grilli et al. (2019) and Grilli et al. (2021): V=2.11 × 10⁷ m³, h= 50 m; s= 114 m; α= 45°; l_s=1250 m; b_s= 2700 m; v_s=44.9 m/s; D= 2500 m; a_M= 100 m −150 m.⁎⁎

a_M= An average value of a_M = 134 m is considered in this study.⁎⁎⁎

The equation of Bolin et al. (2014) is based on the reformatted one reported by Lindstrøm (2016).⁎⁎⁎⁎

Error is calculated using Eq. (1), where the calculated a_M is assumed as the simulated value.

Additionally, we evaluated the performance of this equation using the real-world data from the 2018 Anak Krakatau subaerial landslide tsunami. Based on previous studies (Heidarzadeh et al., 2020; Grilli et al., 2019, 2021), we were able to provide a list of parameters for the subaerial landslide and associated tsunami for the 2018 Anak Krakatau event (see footnote of Table 5). We note that the data of the 2018 Anak Krakatau event was not used while deriving Eq. (5). The results indicate that Eq. (5) predicts the initial amplitude of the 2018 Anak Krakatau tsunami as being 130 m indicating an error of 2.9 % compared to the reported average amplitude of 134 m for this event. This performance indicates an improvement compared to the previous equation reported by Sabeti and Heidarzadeh (2022a) (Table 5). In contrast, the equations from Robbe-Saule et al. (2021) and Bolin et al. (2014) demonstrate higher discrepancies of 4200 % and 77 %, respectively (Table 5). Although Noda’s (1970) equation reproduces the tsunami amplitude of 134 m accurately (Table 5), it is crucial to consider its limitations, notably not accounting for parameters such as slope angle and travel distance.

It is essential to recognize that both travel distance and slope angle significantly affect wave amplitude. In our model, captured in Eq. (5), we integrate the slope angle (α) through the tangent function, i.e., tan α. This choice diverges from traditional physical interpretations that often employ the cosine or sine function (e.g., Heller and Hager, 2014; Watts et al., 2003). We opted for the tangent function because it more effectively reflects the direct impact of slope steepness on wave generation, yielding superior estimations compared to conventional methods.

The significance of this study lies in its application of both physical and numerical 3D experiments and the derivation of a predictive equation based on 3D results. Prior research, e.g. Heller et al. (2016), has reported notable discrepancies between 2D and 3D wave amplitudes, highlighting the important role of 3D experiments. It is worth noting that the suitability of applying an equation derived from either 2D or 3D data depends on the specific geometry and characteristics inherent in the problem being addressed. For instance, in the case of a long, narrow dam reservoir, an equation derived from 2D data would likely be more suitable. In such contexts, the primary dynamics of interest such as flow patterns and potential wave propagation are predominantly two-dimensional, occurring along the length and depth of the reservoir. This simplification to 2D for narrow dam reservoirs allows for more accurate modelling of these dynamics.

This study specifically investigates waves initiated by landslides, focusing on those characterized as solid blocks instead of granular flows, with slope angles confined to a range of 25° to 60°. We acknowledge the additional complexities encountered in real-world scenarios, such as dynamic density and velocity of landslides, which could affect the estimations. The developed equation in this study is specifically designed to predict the maximum initial amplitude of tsunamis for the aforementioned specified ranges and types of landslides.

4. Conclusions

Both physical and numerical experiments were undertaken in a 3D wave basin to study solid-block landslide-generated waves and to formulate a predictive equation for their maximum initial wave amplitude. At the beginning, two physical experiments were performed to validate and calibrate a 3D numerical model, which was subsequently utilized to generate 100 experiments by varying different landslide parameters. The generated database was then used to derive a predictive equation for the maximum initial wave amplitude of landslide tsunamis. The main features and outcomes are:

•The predictive equation of this study is exclusively derived from 3D data and exhibits a fitting quality of 91 % when applied to the database.
•For the first time, landslide travel distance was considered in the predictive equation. This inclusion provides more accuracy and flexibility for applying the equation.
•To further evaluate the performance of the predictive equation, it was applied to a real-world subaerial landslide tsunami (i.e., the 2018 Anak Krakatau event) and delivered satisfactory performance.

CRediT authorship contribution statement

Ramtin Sabeti: Conceptualization, Methodology, Validation, Software, Visualization, Writing – review & editing. Mohammad Heidarzadeh: Methodology, Data curation, Software, Writing – review & editing.

Declaration of competing interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Funding

RS is supported by the Leverhulme Trust Grant No. RPG-2022-306. MH is funded by open funding of State Key Lab of Hydraulics and Mountain River Engineering, Sichuan University, grant number SKHL2101. We acknowledge University of Bath Institutional Open Access Fund. MH is also funded by the Great Britain Sasakawa Foundation grant no. 6217 (awarded in 2023).

Acknowledgements

Authors are sincerely grateful to the laboratory technician team, particularly Mr William Bazeley, at the Faculty of Engineering, University of Bath for their support during the laboratory physical modelling of this research. We appreciate the valuable insights provided by Mr. Brian Fox (Senior CFD Engineer at Flow Science, Inc.) regarding air entrainment modelling in FLOW-3D HYDRO. We acknowledge University of Bath Institutional Open Access Fund.

Data availability

All data used in this study are given in the body of the article.

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The distribution of the computed maximum current speed during the entire duration of the NAMI DANCE and FLOW-3D simulations. The resolution of computational domain is 10 m

Performance Comparison of NAMI DANCE and FLOW-3D® Models in Tsunami Propagation, Inundation and Currents using NTHMP Benchmark Problems

NTHMP 벤치마크 문제를 사용하여 쓰나미 전파, 침수 및 해류에서 NAMI DANCE 및 FLOW-3D® 모델의 성능 비교

Pure and Applied Geophysics volume 176, pages3115–3153 (2019)Cite this article

Abstract

Field observations provide valuable data regarding nearshore tsunami impact, yet only in inundation areas where tsunami waves have already flooded. Therefore, tsunami modeling is essential to understand tsunami behavior and prepare for tsunami inundation. It is necessary that all numerical models used in tsunami emergency planning be subject to benchmark tests for validation and verification. This study focuses on two numerical codes, NAMI DANCE and FLOW-3D^®, for validation and performance comparison. NAMI DANCE is an in-house tsunami numerical model developed by the Ocean Engineering Research Center of Middle East Technical University, Turkey and Laboratory of Special Research Bureau for Automation of Marine Research, Russia. FLOW-3D^® is a general purpose computational fluid dynamics software, which was developed by scientists who pioneered in the design of the Volume-of-Fluid technique. The codes are validated and their performances are compared via analytical, experimental and field benchmark problems, which are documented in the ‘‘Proceedings and Results of the 2011 National Tsunami Hazard Mitigation Program (NTHMP) Model Benchmarking Workshop’’ and the ‘‘Proceedings and Results of the NTHMP 2015 Tsunami Current Modeling Workshop”. The variations between the numerical solutions of these two models are evaluated through statistical error analysis.

현장 관찰은 연안 쓰나미 영향에 관한 귀중한 데이터를 제공하지만 쓰나미 파도가 이미 범람한 침수 지역에서만 가능합니다. 따라서 쓰나미 모델링은 쓰나미 행동을 이해하고 쓰나미 범람에 대비하는 데 필수적입니다.

쓰나미 비상 계획에 사용되는 모든 수치 모델은 검증 및 검증을 위한 벤치마크 테스트를 받아야 합니다. 이 연구는 검증 및 성능 비교를 위해 NAMI DANCE 및 FLOW-3D®의 두 가지 숫자 코드에 중점을 둡니다.

NAMI DANCE는 터키 중동 기술 대학의 해양 공학 연구 센터와 러시아 해양 연구 자동화를 위한 특별 조사국 연구소에서 개발한 사내 쓰나미 수치 모델입니다. FLOW-3D®는 Volume-of-Fluid 기술의 설계를 개척한 과학자들이 개발한 범용 전산 유체 역학 소프트웨어입니다.

코드의 유효성이 검증되고 분석, 실험 및 현장 벤치마크 문제를 통해 코드의 성능이 비교되며, 이는 ‘2011년 NTHMP(National Tsunami Hazard Mitigation Program) 모델 벤치마킹 워크숍의 절차 및 결과’와 ”절차 및 NTHMP 2015 쓰나미 현재 모델링 워크숍 결과”. 이 두 모델의 수치 해 사이의 변동은 통계적 오류 분석을 통해 평가됩니다.

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Acknowledgements

The authors wish to thank Dr. Andrey Zaytsev due to his undeniable contributions to the development of in-house numerical model, NAMI DANCE. The Turkish branch of Flow Science, Inc. is also acknowledged. Finally, the National Tsunami Hazard Mitigation Program (NTHMP), who provided most of the benchmark data, is appreciated. This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.

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Deniz Velioglu SogutPresent address: 1212 Computer Science, Department of Civil Engineering, Stony Brook University, Stony Brook, NY, 11794, USA

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Middle East Technical University, 06800, Ankara, TurkeyDeniz Velioglu Sogut & Ahmet Cevdet Yalciner

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Correspondence to Deniz Velioglu Sogut.

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Velioglu Sogut, D., Yalciner, A.C. Performance Comparison of NAMI DANCE and FLOW-3D^® Models in Tsunami Propagation, Inundation and Currents using NTHMP Benchmark Problems. Pure Appl. Geophys. 176, 3115–3153 (2019). https://doi.org/10.1007/s00024-018-1907-9

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Received22 December 2017
Revised16 May 2018
Accepted24 May 2018
Published07 June 2018
Issue Date01 July 2019
DOIhttps://doi.org/10.1007/s00024-018-1907-9

Keywords

Tsunami
depth-averaged shallow water
Reynolds-averaged Navier–Stokes
benchmarking
NAMI DANCE
FLOW-3D^®

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Figure 11. Sketch of scour mechanism around USAF under random waves.

Scour Characteristics and Equilibrium Scour Depth Prediction around Umbrella Suction Anchor Foundation under Random Waves

by Ruigeng Hu¹,Hongjun Liu²,Hao Leng¹,Peng Yu³ andXiuhai Wang^1,2,*

¹College of Environmental Science and Engineering, Ocean University of China, Qingdao 266000, China

²Key Lab of Marine Environment and Ecology (Ocean University of China), Ministry of Education, Qingdao 266000, China

³Qingdao Geo-Engineering Survering Institute, Qingdao 266100, China

^*Author to whom correspondence should be addressed.

J. Mar. Sci. Eng. 2021, 9(8), 886; https://doi.org/10.3390/jmse9080886

Received: 6 July 2021 / Revised: 8 August 2021 / Accepted: 13 August 2021 / Published: 17 August 2021

(This article belongs to the Section Ocean Engineering)

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Abstract

A series of numerical simulation were conducted to study the local scour around umbrella suction anchor foundation (USAF) under random waves. In this study, the validation was carried out firstly to verify the accuracy of the present model. Furthermore, the scour evolution and scour mechanism were analyzed respectively. In addition, two revised models were proposed to predict the equilibrium scour depth S_eq around USAF. At last, a parametric study was carried out to study the effects of the Froude number F_r and Euler number E_u for the S_eq. The results indicate that the present numerical model is accurate and reasonable for depicting the scour morphology under random waves. The revised Raaijmakers’s model shows good agreement with the simulating results of the present study when KC_s,p < 8. The predicting results of the revised stochastic model are the most favorable for n = 10 when KC_rms,a < 4. The higher F_r and E_u both lead to the more intensive horseshoe vortex and larger S_eq.

Keywords:

scour; numerical investigation; random waves; equilibrium scour depth; KC number

1. Introduction

The rapid expansion of cities tends to cause social and economic problems, such as environmental pollution and traffic jam. As a kind of clean energy, offshore wind power has developed rapidly in recent years. The foundation of offshore wind turbine (OWT) supports the upper tower, and suffers the cyclic loading induced by waves, tides and winds, which exerts a vital influence on the OWT system. The types of OWT foundation include the fixed and floating foundation, and the fixed foundation was used usually for nearshore wind turbine. After the construction of fixed foundation, the hydrodynamic field changes in the vicinity of the foundation, leading to the horseshoe vortex formation and streamline compression at the upside and sides of foundation respectively [1,2,3,4]. As a result, the neighboring soil would be carried away by the shear stress induced by vortex, and the scour hole would emerge in the vicinity of foundation. The scour holes increase the cantilever length, and weaken the lateral bearing capacity of foundation [5,6,7,8,9]. Moreover, the natural frequency of OWT system increases with the increase of cantilever length, causing the resonance occurs when the system natural frequency equals the wave or wind frequency [10,11,12]. Given that, an innovative foundation called umbrella suction anchor foundation (USAF) has been designed for nearshore wind power. The previous studies indicated the USAF was characterized by the favorable lateral bearing capacity with the low cost [6,13,14]. The close-up of USAF is shown in Figure 1, and it includes six parts: 1-interal buckets, 2-external skirt, 3-anchor ring, 4-anchor branch, 5-supporting rod, 6-telescopic hook. The detailed description and application method of USAF can be found in reference [13].

Figure 1. The close-up of umbrella suction anchor foundation (USAF).

Numerical and experimental investigations of scour around OWT foundation under steady currents and waves have been extensively studied by many researchers [1,2,15,16,17,18,19,20,21,22,23,24]. The seabed scour can be classified as two types according to Shields parameter θ, i.e., clear bed scour (θ < θ_cr) or live bed scour (θ > θ_cr). Due to the set of foundation, the adverse hydraulic pressure gradient exists at upstream foundation edges, resulting in the streamline separation between boundary layer flow and seabed. The separating boundary layer ascended at upstream anchor edges and developed into the horseshoe vortex. Then, the horseshoe vortex moved downstream gradually along the periphery of the anchor, and the vortex shed off continually at the lee-side of the anchor, i.e., wake vortex. The core of wake vortex is a negative pressure center, liking a vacuum cleaner. Hence, the soil particles were swirled into the negative pressure core and carried away by wake vortexes. At the same time, the onset of scour at rear side occurred. Finally, the wake vortex became downflow when the turbulence energy could not support the survival of wake vortex. According to Tavouktsoglou et al. [25], the scale of pile wall boundary layer is proportional to 1/ln(R_d) (R_d is pile Reynolds), which means the turbulence intensity induced by the flow-structure interaction would decrease with R_d increases, but the effects of R_d can be neglected only if the flow around the foundation is fully turbulent [26]. According to previous studies [1,15,27,28,29,30,31,32], the scour development around pile foundation under waves was significantly influenced by Shields parameter θ and KC number simultaneously (calculated by Equation (1)). Sand ripples widely existed around pile under waves in the case of live bed scour, and the scour morphology is related with θ and KC. Compared with θ, KC has a greater influence on the scour morphology [21,27,28]. The influence mechanism of KC on the scour around the pile is reflected in two aspects: the horseshoe vortex at upstream and wake vortex shedding at downstream.

KC=UwmTD��=�wm��(1)

where, U_wm is the maximum velocity of the undisturbed wave-induced oscillatory flow at the sea bottom above the wave boundary layer, T is wave period, and D is pile diameter.

There are two prerequisites to satisfy the formation of horseshoe vortex at upstream pile edges: (1) the incoming flow boundary layer with sufficient thickness and (2) the magnitude of upstream adverse pressure gradient making the boundary layer separating [1,15,16,18,20]. The smaller KC results the lower adverse pressure gradient, and the boundary layer cannot separate, herein, there is almost no horseshoe vortex emerging at upside of pile. Sumer et al. [1,15] carried out several sets of wave flume experiments under regular and irregular waves respectively, and the experiment results show that there is no horseshoe vortex when KC is less than 6. While the scale and lifespan of horseshoe vortex increase evidently with the increase of KC when KC is larger than 6. Moreover, the wake vortex contributes to the scour at lee-side of pile. Similar with the case of horseshoe vortex, there is no wake vortex when KC is less than 6. The wake vortex is mainly responsible for scour around pile when KC is greater than 6 and less than O(100), while horseshoe vortex controls scour nearly when KC is greater than O(100).

Sumer et al. [1] found that the equilibrium scour depth was nil around pile when KC was less than 6 under regular waves for live bed scour, while the equilibrium scour depth increased with the increase of KC. Based on that, Sumer proposed an equilibrium scour depth predicting equation (Equation (2)). Carreiras et al. [33] revised Sumer’s equation with m = 0.06 for nonlinear waves. Different with the findings of Sumer et al. [1] and Carreiras et al. [33], Corvaro et al. [21] found the scour still occurred for KC ≈ 4, and proposed the revised equilibrium scour depth predicting equation (Equation (3)) for KC > 4.

Rudolph and Bos [2] conducted a series of wave flume experiments to investigate the scour depth around monopile under waves only, waves and currents combined respectively, indicting KC was one of key parameters in influencing equilibrium scour depth, and proposed the equilibrium scour depth predicting equation (Equation (4)) for low KC (1 < KC < 10). Through analyzing the extensive data from published literatures, Raaijmakers and Rudolph [34] developed the equilibrium scour depth predicting equation (Equation (5)) for low KC, which was suitable for waves only, waves and currents combined. Khalfin [35] carried out several sets of wave flume experiments to study scour development around monopile, and proposed the equilibrium scour depth predicting equation (Equation (6)) for low KC (0.1 < KC < 3.5). Different with above equations, the Khalfin’s equation considers the Shields parameter θ and KC number simultaneously in predicting equilibrium scour depth. The flow reversal occurred under through in one wave period, so sand particles would be carried away from lee-side of pile to upside, resulting in sand particles backfilled into the upstream scour hole [20,29]. Considering the backfilling effects, Zanke et al. [36] proposed the equilibrium scour depth predicting equation (Equation (7)) around pile by theoretical analysis, and the equation is suitable for the whole range of KC number under regular waves and currents combined.

S/D=1.3(1−exp([−m(KC−6)])�/�=1.3(1−exp(−�(��−6))(2)

where, m = 0.03 for linear waves.

S/D=1.3(1−exp([−0.02(KC−4)])�/�=1.3(1−exp(−0.02(��−4))(3)

S/D=1.3γKwaveKhw�/�=1.3��wave�ℎw(4)

where, γ is safety factor, depending on design process, typically γ = 1.5, K_wave is correction factor considering wave action, K_hw is correction factor considering water depth.

S/D=1.5[tanh(hwD)]KwaveKhw�/�=1.5tanh(ℎw�)�wave�ℎw(5)

where, h_w is water depth.

S/D=0.0753(θθcr−−−√−0.5)0.69KC0.68�/�=0.0753(��cr−0.5)0.69��0.68(6)

where, θ is shields parameter, θ_cr is critical shields parameter.

S/D=2.5(1−0.5u/uc)xrelxrel=xeff/(1+xeff)xeff=0.03(1−0.35ucr/u)(KC−6)⎫⎭⎬⎪⎪�/�=2.5(1−0.5�/��)��=��/(1+��)��=0.03(1−0.35�cr/�)(��−6)(7)

where, u is near-bed orbital velocity amplitude, u_c is critical velocity corresponding the onset of sediment motion.

S/D=1.3{1−exp[−0.03(KC2lnn+36)1/2−6]}�/�=1.31−exp−0.03(��2ln�+36)1/2−6(8)

where, n is the 1/n’th highest wave for random waves

For predicting equilibrium scour depth under irregular waves, i.e., random waves, Sumer and Fredsøe [16] found it’s suitable to take Equation (2) to predict equilibrium scour depth around pile under random waves with the root-mean-square (RMS) value of near-bed orbital velocity amplitude U_m and peak wave period T_P to calculate KC. Khalfin [35] recommended the RMS wave height H_rms and peak wave period T_P were used to calculate KC for Equation (6). References [37,38,39,40] developed a series of stochastic theoretical models to predict equilibrium scour depth around pile under random waves, nonlinear random waves plus currents respectively. The stochastic approach thought the 1/n’th highest wave were responsible for scour in vicinity of pile under random waves, and the KC was calculated in Equation (8) with U_m and mean zero-crossing wave period T_z. The results calculated by Equation (8) agree well with experimental values of Sumer and Fredsøe [16] if the 1/10′th highest wave was used. To author’s knowledge, the stochastic approach proposed by Myrhaug and Rue [37] is the only theoretical model to predict equilibrium scour depth around pile under random waves for the whole range of KC number in published documents. Other methods of predicting scour depth under random waves are mainly originated from the equation for regular waves-only, waves and currents combined, which are limited to the large KC number, such as KC > 6 for Equation (2) and KC > 4 for Equation (3) respectively. However, situations with relatively low KC number (KC < 4) often occur in reality, for example, monopile or suction anchor for OWT foundations in ocean environment. Moreover, local scour around OWT foundations under random waves has not yet been investigated fully. Therefore, further study are still needed in the aspect of scour around OWT foundations with low KC number under random waves. Given that, this study presents the scour sediment model around umbrella suction anchor foundation (USAF) under random waves. In this study, a comparison of equilibrium scour depth around USAF between this present numerical models and the previous theoretical models and experimental results was presented firstly. Then, this study gave a comprehensive analysis for the scour mechanisms around USAF. After that, two revised models were proposed according to the model of Raaijmakers and Rudolph [34] and the stochastic model developed by Myrhaug and Rue [37] respectively to predict the equilibrium scour depth. Finally, a parametric study was conducted to study the effects of the Froude number (F_r) and Euler number (E_u) to equilibrium scour depth respectively.

2. Numerical Method

2.1. Governing Equations of Flow

The following equations adopted in present model are already available in Flow 3D software. The authors used these theoretical equations to simulate scour in random waves without modification. The incompressible viscous fluid motion satisfies the Reynolds-averaged Navier-Stokes (RANS) equation, so the present numerical model solves RANS equations:

∂u∂t+1VF(uAx∂u∂x+vAy∂u∂y+wAz∂u∂z)=−1ρf∂p∂x+Gx+fx∂�∂�+1��(��∂�∂�+��∂�∂�+��∂�∂�)=−1�f∂�∂�+��+��(9)

∂v∂t+1VF(uAx∂v∂x+vAy∂v∂y+wAz∂v∂z)=−1ρf∂p∂y+Gy+fy∂�∂�+1��(��∂�∂�+��∂�∂�+��∂�∂�)=−1�f∂�∂�+��+��(10)

∂w∂t+1VF(uAx∂w∂x+vAy∂w∂y+wAz∂w∂z)=−1ρf∂p∂z+Gz+fz∂�∂�+1��(��∂�∂�+��∂�∂�+��∂�∂�)=−1�f∂�∂�+��+��(11)

where, V_F is the volume fraction; u, v, and w are the velocity components in x, y, z direction respectively with Cartesian coordinates; A_i is the area fraction; ρ_f is the fluid density, f_i is the viscous fluid acceleration, G_i is the fluid body acceleration (i = x, y, z).

2.2. Turbulent Model

The turbulence closure is available by the turbulent model, such as one-equation, the one-equation k-ε model, the standard k-ε model, RNG k-ε turbulent model and large eddy simulation (LES) model. The LES model requires very fine mesh grid, so the computational time is large, which hinders the LES model application in engineering. The RNG k-ε model can reduce computational time greatly with high accuracy in the near-wall region. Furthermore, the RNG k-ε model computes the maximum turbulent mixing length dynamically in simulating sediment scour model. Therefore, the RNG k-ε model was adopted to study the scour around anchor under random waves [41,42].

∂kT∂T+1VF(uAx∂kT∂x+vAy∂kT∂y+wAz∂kT∂z)=PT+GT+DiffkT−εkT∂��∂�+1��(��∂��∂�+��∂��∂�+��∂��∂�)=��+��+��−��(12)

∂εT∂T+1VF(uAx∂εT∂x+vAy∂εT∂y+wAz∂εT∂z)=CDIS1εTkT(PT+CDIS3GT)+Diffε−CDIS2ε2TkT∂��∂�+1��(��∂��∂�+��∂��∂�+��∂��∂�)=��1��(��+��3��)+��−��2��2��(13)

where, k_T is specific kinetic energy involved with turbulent velocity, G_T is the turbulent energy generated by buoyancy; ε_T is the turbulent energy dissipating rate, P_T is the turbulent energy, Diff_ε and Diff_kT are diffusion terms associated with V_F, A_i; CDIS1, CDIS2 and CDIS3 are dimensionless parameters, and CDIS1, CDIS3 have default values of 1.42, 0.2 respectively. CDIS2 can be obtained from P_T and k_T.

2.3. Sediment Scour Model

The sand particles may suffer four processes under waves, i.e., entrainment, bed load transport, suspended load transport, and deposition, so the sediment scour model should depict the above processes efficiently. In present numerical simulation, the sediment scour model includes the following aspects:

2.3.1. Entrainment and Deposition

The combination of entrainment and deposition determines the net scour rate of seabed in present sediment scour model. The entrainment lift velocity of sand particles was calculated as [43]:

ulift,i=αinsd0.3∗(θ−θcr)1.5∥g∥di(ρi−ρf)ρf−−−−−−−−−−−−√�lift,i=��*0.3(�−�cr)1.5��(��−�f)�f(14)

where, α_i is the entrainment parameter, n_s is the outward point perpendicular to the seabed, d_* is the dimensionless diameter of sand particles, which was calculated by Equation (15), θ_cr is the critical Shields parameter, g is the gravity acceleration, d_i is the diameter of sand particles, ρ_i is the density of seabed species.

d∗=di(∥g∥ρf(ρi−ρf)μ2f)1/3�*=��(��f(��−�f)�f2)1/3(15)

where μ_f is the fluid dynamic viscosity.

In Equation (14), the entrainment parameter α_i confirms the rate at which sediment erodes when the given shear stress is larger than the critical shear stress, and the recommended value 0.018 was adopted according to the experimental data of Mastbergen and Von den Berg [43]. n_s is the outward pointing normal to the seabed interface, and n_s = (0,0,1) according to the Cartesian coordinates used in present numerical model.

The shields parameter was obtained from the following equation:

θ=U2f,m(ρi/ρf−1)gd50�=�f,m2(��/�f−1)��50(16)

where, U_f,m is the maximum value of the near-bed friction velocity; d₅₀ is the median diameter of sand particles. The detailed calculation procedure of θ was available in Soulsby [44].

The critical shields parameter θ_cr was obtained from the Equation (17) [44]

θcr=0.31+1.2d∗+0.055[1−exp(−0.02d∗)]�cr=0.31+1.2�*+0.0551−exp(−0.02�*)(17)

The sand particles begin to deposit on seabed when the turbulence energy weaken and cann’t support the particles suspending. The setting velocity of the particles was calculated from the following equation [44]:

usettling,i=νfdi[(10.362+1.049d3∗)0.5−10.36]�settling,�=�f��(10.362+1.049�*3)0.5−10.36(18)

where ν_f is the fluid kinematic viscosity.

2.3.2. Bed Load Transport

This is called bed load transport when the sand particles roll or bounce over the seabed and always have contact with seabed. The bed load transport velocity was computed by [45]:

ubedload,i=qb,iδicb,ifb�bedload,�=�b,��b,��b(19)

where, q_b,i is the bed load transport rate, which was obtained from Equation (20), δ_i is the bed load thickness, which was calculated by Equation (21), c_b,i is the volume fraction of sand i in the multiple species, f_b is the critical packing fraction of the seabed.

qb,i=8[∥g∥(ρi−ρfρf)d3i]1/2�b,�=8�(��−�f�f)��31/2(20)

δi=0.3d0.7∗(θθcr−1)0.5di��=0.3�*0.7(��cr−1)0.5��(21)

2.3.3. Suspended Load Transport

Through the following transport equation, the suspended sediment concentration could be acquired.

∂Cs,i∂t+∇(us,iCs,i)=∇∇(DfCs,i)∂�s,�∂�+∇(�s,��s,�)=∇∇(�f�s,�)(22)

where, C_s,i is the suspended sand particles mass concentration of sand i in the multiple species, u_s,i is the sand particles velocity of sand i, D_f is the diffusivity.

The velocity of sand i in the multiple species could be obtained from the following equation:

us,i=u¯¯+usettling,ics,i�s,�=�¯+�settling,��s,�(23)

where, u¯�¯ is the velocity of mixed fluid-particles, which can be calculated by the RANS equation with turbulence model, c_s,i is the suspended sand particles volume concentration, which was computed from Equation (24).

cs,i=Cs,iρi�s,�=�s,��(24)

3. Model Setup

The seabed-USAF-wave three-dimensional scour numerical model was built using Flow-3D software. As shown in Figure 2, the model includes sandy seabed, USAF model, sea water, two baffles and porous media. The dimensions of USAF are shown in Table 1. The sandy bed (210 m in length, 30 m in width and 11 m in height) is made up of uniform fine sand with median diameter d₅₀ = 0.041 cm. The USAF model includes upper steel tube with the length of 20 m, which was installed in the middle of seabed. The location of USAF is positioned at 140 m from the upstream inflow boundary and 70 m from the downstream outflow boundary. Two baffles were installed at two ends of seabed. In order to eliminate the wave reflection basically, the porous media was set at the outflow side on the seabed.

Figure 2. (a) The sketch of seabed-USAF-wave three-dimensional model; (b) boundary condation:Wv-wave boundary, S-symmetric boundary, O-outflow boundary; (c) USAF model.

Table 1. Numerical simulating cases.

3.1. Mesh Geometric Dimensions

In the simulation of the scour under the random waves, the model includes the umbrella suction anchor foundation, seabed and fluid. As shown in Figure 3, the model mesh includes global mesh grid and nested mesh grid, and the total number of grids is 1,812,000. The basic procedure for building mesh grid consists of two steps. Step 1: Divide the global mesh using regular hexahedron with size of 0.6 × 0.6. The global mesh area is cubic box, embracing the seabed and whole fluid volume, and the dimensions are 210 m in length, 30 m in width and 32 m in height. The details of determining the grid size can see the following mesh sensitivity section. Step 2: Set nested fine mesh grid in vicinity of the USAF with size of 0.3 × 0.3 so as to shorten the computation cost and improve the calculation accuracy. The encryption range is −15 m to 15 m in x direction, −15 m to 15 m in y direction and 0 m to 32 m in z direction, respectively. In order to accurately capture the free-surface dynamics, such as the fluid-air interface, the volume of fluid (VOF) method was adopted for tracking the free water surface. One specific algorithm called FAVORTM (Fractional Area/Volume Obstacle Representation) was used to define the fractional face areas and fractional volumes of the cells which are open to fluid flow.

Figure 3. The sketch of mesh grid.

3.2. Boundary Conditions

As shown in Figure 2, the initial fluid length is 210 m as long as seabed. A wave boundary was specified at the upstream offshore end. The details of determining the random wave spectrum can see the following wave parameters section. The outflow boundary was set at the downstream onshore end. The symmetry boundary was used at the top and two sides of the model. The symmetric boundaries were the better strategy to improve the computation efficiency and save the calculation cost [46]. At the seabed bottom, the wall boundary was adopted, which means the u = v = w= 0. Besides, the upper steel tube of USAF was set as no-slip condition.

3.3. Wave Parameters

The random waves with JONSWAP wave spectrum were used for all simulations as realistic representation of offshore conditions. The unidirectional JONSWAP frequency spectrum was described as [47]:

S(ω)=αg2ω5exp[−54(ωpω)4]γexp[−(ω−ωp)22σ2ω2p]�(�)=��2�5exp−54(�p�)4�exp−(�−�p)22�2�p2(25)

where, α is wave energy scale parameter, which is calculated by Equation (26), ω is frequency, ω_p is wave spectrum peak frequency, which can be obtained from Equation (27). γ is wave spectrum peak enhancement factor, in this study γ = 3.3. σ is spectral width factor, σ equals 0.07 for ω ≤ ω_p and 0.09 for ω > ω_p respectively.

α=0.0076(gXU2)−0.22�=0.0076(��2)−0.22(26)

ωp=22(gU)(gXU2)−0.33�p=22(��)(��2)−0.33(27)

where, X is fetch length, U is average wind velocity at 10 m height from mean sea level.

In present numerical model, the input key parameters include X and U for wave boundary with JONSWAP wave spectrum. The objective wave height and period are available by different combinations of X and U. In this study, we designed 9 cases with different wave heights, periods and water depths for simulating scour around USAF under random waves (see Table 2). For random waves, the wave steepness ε and Ursell number U_r were acquired form Equations (28) and (29) respectively

ε=2πgHsT2a�=2��s�a2(28)

Ur=Hsk2h3w�r=�s�2ℎw3(29)

where, H_s is significant wave height, T_a is average wave period, k is wave number, h_w is water depth. The Shield parameter θ satisfies θ _> θ_cr for all simulations in current study, indicating the live bed scour prevails.

Table 2. Numerical simulating cases.

3.4. Mesh Sensitivity

In this section, a mesh sensitivity analysis was conducted to investigate the influence of mesh grid size to results and make sure the calculation is mesh size independent and converged. Three mesh grid size were chosen: Mesh 1—global mesh grid size of 0.75 × 0.75, nested fine mesh grid size of 0.4 × 0.4, and total number of grids 1,724,000, Mesh 2—global mesh grid size of 0.6 × 0.6, nested fine mesh grid size of 0.3 × 0.3, and total number of grids 1,812,000, Mesh 3—global mesh grid size of 0.4 × 0.4, nested fine mesh grid size of 0.2 × 0.2, and total number of grids 1,932,000. The near-bed shear velocity U_* is an important factor for influencing scour process [1,15], so U_* at the position of (4,0,11.12) was evaluated under three mesh sizes. As the Figure 4 shown, the maximum error of shear velocity ∆U_*1,2 is about 39.8% between the mesh 1 and mesh 2, and 4.8% between the mesh 2 and mesh 3. According to the mesh sensitivity criterion adopted by Pang et al. [48], it’s reasonable to think the results are mesh size independent and converged with mesh 2. Additionally, the present model was built according to prototype size, and the mesh size used in present model is larger than the mesh size adopted by Higueira et al. [49] and Corvaro et al. [50]. If we choose the smallest cell size, it will take too much time. For example, the simulation with Mesh3 required about 260 h by using a computer with Intel Xeon Scalable Gold 4214 CPU @24 Cores, 2.2 GHz and 64.00 GB RAM. Therefore, in this case, considering calculation accuracy and computation efficiency, the mesh 2 was chosen for all the simulation in this study.

Figure 4. Comparison of near-bed shear velocity U_* with different mesh grid size.

The nested mesh block was adopted for seabed in vicinity of the USAF, which was overlapped with the global mesh block. When two mesh blocks overlap each other, the governing equations are by default solved on the mesh block with smaller average cell size (i.e., higher grid resolution). It is should be noted that the Flow 3D software used the moving mesh captures the scour evolution and automatically adjusts the time step size to be as large as possible without exceeding any of the stability limits, affecting accuracy, or unduly increasing the effort required to enforce the continuity condition [51].

3.5. Model Validation

In order to verify the reliability of the present model, the results of present study were compared with the experimental data of Khosronejad et al. [52]. The experiment was conducted in an open channel with a slender vertical pile under unidirectional currents. The comparison of scour development between the present results and the experimental results is shown in Figure 5. The Figure 5 reveals that the present results agree well with the experimental data of Khosronejad et al. [52]. In the first stage, the scour depth increases rapidly. After that, the scour depth achieves a maximum value gradually. The equilibrium scour depth calculated by the present model is basically corresponding with the experimental results of Khosronejad et al. [52], although scour depth in the present model is slightly larger than the experimental results at initial stage.

Figure 5. Comparison of time evolution of scour between the present study and Khosronejad et al. [52], Petersen et al. [17].

Secondly, another comparison was further conducted between the results of present study and the experimental data of Petersen et al. [17]. The experiment was carried out in a flume with a circular vertical pile in combined waves and current. Figure 4 shows a comparison of time evolution of scour depth between the simulating and the experimental results. As Figure 5 indicates, the scour depth in this study has good overall agreement with the experimental results proposed in Petersen et al. [17]. The equilibrium scour depth calculated by the present model is 0.399 m, which equals to the experimental value basically. Overall, the above verifications prove the present model is accurate and capable in dealing with sediment scour under waves.

In addition, in order to calibrate and validate the present model for hydrodynamic parameters, the comparison of water surface elevation was carried out with laboratory experiments conducted by Stahlmann [53] for wave gauge No. 3. The Figure 6 depicts the surface wave profiles between experiments and numerical model results. The comparison indicates that there is a good agreement between the model results and experimental values, especially the locations of wave crest and trough. Comparison of the surface elevation instructs the present model has an acceptable relative error, and the model is a calibrated in terms of the hydrodynamic parameters.

Figure 6. Comparison of surface elevation between the present study and Stahlmann [53].

Finally, another comparison was conducted for equilibrium scour depth or maximum scour depth under random waves with the experimental data of Sumer and Fredsøe [16] and Schendel et al. [22]. The Figure 7 shows the comparison between the numerical results and experimental data of Run01, Run05, Run21 and Run22 in Sumer and Fredsøe [16] and test A05 and A09 in Schendel et al. [22]. As shown in Figure 7, the equilibrium scour depth or maximum scour depth distributed within the ±30 error lines basically, meaning the reliability and accuracy of present model for predicting equilibrium scour depth around foundation in random waves. However, compared with the experimental values, the present model overestimated the equilibrium scour depth generally. Given that, a calibration for scour depth was carried out by multiplying the mean reduced coefficient 0.85 in following section.

Figure 7. Comparison of equilibrium (or maximum) scour depth between the present study and Sumer and Fredsøe [16], Schendel et al. [22].

Through the various examination for hydrodynamic and morphology parameters, it can be concluded that the present model is a validated and calibrated model for scour under random waves. Thus, the present numerical model would be utilized for scour simulation around foundation under random waves.

4. Numerical Results and Discussions

4.1. Scour Evolution

Figure 8 displays the scour evolution for case 1–9. As shown in Figure 8a, the scour depth increased rapidly at the initial stage, and then slowed down at the transition stage, which attributes to the backfilling occurred in scour holes under live bed scour condition, resulting in the net scour decreasing. Finally, the scour reached the equilibrium state when the amount of sediment backfilling equaled to that of scouring in the scour holes, i.e., the net scour transport rate was nil. Sumer and Fredsøe [16] proposed the following formula for the scour development under waves

St=Seq(1−exp(−t/Tc))�t=�eq(1−exp(−�/�c))(30)

where T_c is time scale of scour process.

Figure 8. Time evolution of scour for case 1–9: (a) Case 1–5; (b) Case 6–9.

The computing time is 3600 s and the scour development curves in Figure 8 kept fluctuating, meaning it’s still not in equilibrium scour stage in these cases. According to Sumer and Fredsøe [16], the equilibrium scour depth can be acquired by fitting the data with Equation (30). From Figure 8, it can be seen that the scour evolution obtained from Equation (30) is consistent with the present study basically at initial stage, but the scour depth predicted by Equation (30) developed slightly faster than the simulating results and the Equation (30) overestimated the scour depth to some extent. Overall, the whole tendency of the results calculated by Equation (30) agrees well with the simulating results of the present study, which means the Equation (30) is applicable to depict the scour evolution around USAF under random waves.

4.2. Scour Mechanism under Random Waves

The scour morphology and scour evolution around USAF are similar under random waves in case 1~9. Taking case 7 as an example, the scour morphology is shown in Figure 9.

Figure 9. Scour morphology under different times for case 7.

From Figure 9, at the initial stage (t < 1200 s), the scour occurred at upstream foundation edges between neighboring anchor branches. The maximum scour depth appeared at the lee-side of the USAF. Correspondingly, the sediments deposited at the periphery of the USAF, and the location of the maximum accretion depth was positioned at an angle of about 45° symmetrically with respect to the wave propagating direction in the lee-side of the USAF. After that, when t > 2400 s, the location of the maximum scour depth shifted to the upside of the USAF at an angle of about 45° with respect to the wave propagating direction.

According to previous studies [1,15,16,19,30,31], the horseshoe vortex, streamline compression and wake vortex shedding were responsible for scour around foundation. The Figure 10 displays the distribution of flow velocity in vicinity of foundation, which reflects the evolving processes of horseshoe vertex.

Figure 10. Velocity profile around USAF: (a) Flow runup and down stream at upstream anchor edges; (b) Horseshoe vortex at upstream anchor edges; (c) Flow reversal during wave through stage at lee side.

As shown in Figure 10, the inflow tripped to the upstream edges of the USAF and it was blocked by the upper tube of USAF. Then, the downflow formed the horizontal axis clockwise vortex and rolled on the seabed bypassing the tube, that is, the horseshoe vortex (Figure 11). The Figure 12 displays the turbulence intensity around the tube on the seabed. From Figure 12, it can be seen that the turbulence intensity was high-intensity with respect to the region of horseshoe vortex. This phenomenon occurred because of drastic water flow momentum exchanging in the horseshoe vortex. As a result, it created the prominent shear stress on the seabed, causing the local scour at the upstream edges of USAF. Besides, the horseshoe vortex moved downstream gradually along the periphery of the tube and the wake vortex shed off continually at the lee-side of the USAF, i.e., wake vortex.

Figure 11. Sketch of scour mechanism around USAF under random waves.

Figure 12. Turbulence intensity: (a) Turbulence intensity of horseshoe vortex; (b) Turbulence intensity of wake vortex; (c) Turbulence intensity of accretion area.

The core of wake vortex is a negative pressure center, liking a vacuum cleaner [11,42]. Hence, the soil particles were swirled into the negative pressure core and carried away by wake vortex. At the same time, the onset of scour at rear side occurred. Finally, the wake vortex became downflow at the downside of USAF. As is shown in Figure 12, the turbulence intensity was low where the downflow occurred at lee-side, which means the turbulence energy may not be able to support the survival of wake vortex, leading to accretion happening. As mentioned in previous section, the formation of horseshoe vortex was dependent with adverse pressure gradient at upside of foundation. As shown in Figure 13, the evaluated range of pressure distribution is −15 m to 15 m in x direction. The t = 450 s and t = 1800 s indicate that the wave crest and trough arrived at the upside and lee-side of the foundation respectively, and the t = 350 s was neither the wave crest nor trough. The adverse gradient pressure reached the maximum value at t = 450 s corresponding to the wave crest phase. In this case, it’s helpful for the wave boundary separating fully from seabed, which leads to the formation of horseshoe vortex with high turbulence intensity. Therefore, the horseshoe vortex is responsible for the local scour between neighboring anchor branches at upside of USAF. What’s more, due to the combination of the horseshoe vortex and streamline compression, the maximum scour depth occurred at the upside of the USAF with an angle of about 45° corresponding to the wave propagating direction. This is consistent with the findings of Pang et al. [48] and Sumer et al. [1,15] in case of regular waves. At the wave trough phase (t = 1800 s), the pressure gradient became positive at upstream USAF edges, which hindered the separating of wave boundary from seabed. In the meantime, the flow reversal occurred (Figure 10) and the adverse gradient pressure appeared at downstream USAF edges, but the magnitude of adverse gradient pressure at lee-side was lower than the upstream gradient pressure under wave crest. In this way, the intensity of horseshoe vortex behind the USAF under wave trough was low, which explains the difference of scour depth at upstream and downstream, i.e., the scour asymmetry. In other words, the scour asymmetry at upside and downside of USAF was attributed to wave asymmetry for random waves, and the phenomenon became more evident for nonlinear waves [21]. Briefly speaking, the vortex system at wave crest phase was mainly related to the scour process around USAF under random waves.

Figure 13. Pressure distribution around USAF.

4.3. Equilibrium Scour Depth

The KC number is a key parameter for horseshoe vortex emerging and evolving under waves. According to Equation (1), when pile diameter D is fixed, the KC depends on the maximum near-bed velocity U_wm and wave period T. For random waves, the U_wm can be denoted by the root-mean-square (RMS) value of near-bed velocity amplitude U_wm,rms or the significant value of near-bed velocity amplitude U_wm,s. The U_wm,rms and U_wm,s for all simulating cases of the present study are listed in Table 3 and Table 4. The T can be denoted by the mean up zero-crossing wave period T_a, peak wave period T_p, significant wave period T_s, the maximum wave period T_m, 1/10′th highest wave period T_{n = 1/10} and 1/5′th highest wave period T_{n = 1/5} for random waves, so the different combinations of U_wm and T will acquire different KC. The Table 3 and Table 4 list 12 types of KC, for example, the KC_rms,s was calculated by U_wm,rms and T_s. Sumer and Fredsøe [16] conducted a series of wave flume experiments to investigate the scour depth around monopile under random waves, and found the equilibrium scour depth predicting equation (Equation (2)) for regular waves was applicable for random waves with KC_rms,p. It should be noted that the Equation (2) is only suitable for KC > 6 under regular waves or KC_rms,p > 6 under random waves.

Table 3. U_wm,rms and KC for case 1~9.

Table 4. U_wm,s and KC for case 1~9.

Raaijmakers and Rudolph [34] proposed the equilibrium scour depth predicting model (Equation (5)) around pile under waves, which is suitable for low KC. The format of Equation (5) is similar with the formula proposed by Breusers [54], which can predict the equilibrium scour depth around pile at different scour stages. In order to verify the applicability of Raaijmakers’s model for predicting the equilibrium scour depth around USAF under random waves, a validation of the equilibrium scour depth S_eq between the present study and Raaijmakers’s equation was conducted. The position where the scour depth S_eq was evaluated is the location of the maximum scour depth, and it was depicted in Figure 14. The Figure 15 displays the comparison of S_eq with different KC between the present study and Raaijmakers’s model.

Figure 14. Sketch of the position where the S_eq was evaluated.

Figure 15. Comparison of the equilibrium scour depth between the present model and the model of Raaijmakers and Rudolph [34]: (a) KC_rms,s, KC_rms,a; (b) KC_rms,p, KC_rms,m; (c) KC_{rms,n = 1/10}, KC_{rms,n = 1/5}; (d) KC_s,s, KC_s,a; (e) KC_s,p, KC_s,m; (f) KC_{s,n = 1/10}, KC_{s,n = 1/5}.

As shown in Figure 15, there is an error in predicting S_eq between the present study and Raaijmakers’s model, and Raaijmakers’s model underestimates the results generally. Although the error exists, the varying trend of S_eq with KC obtained from Raaijmakers’s model is consistent with the present study basically. What’s more, the error is minimum and the Raaijmakers’s model is of relatively high accuracy for predicting scour around USAF under random waves by using KC_s,p. Based on this, a further revision was made to eliminate the error as much as possible, i.e., add the deviation value ∆S/D in the Raaijmakers’s model. The revised equilibrium scour depth predicting equation based on Raaijmakers’s model can be written as

S′eq/D=1.95[tanh(hD)](1−exp(−0.012KCs,p))+ΔS/D�eq′/�=1.95tanh(ℎ�)(1−exp(−0.012��s,p))+∆�/�(31)

As the Figure 16 shown, through trial-calculation, when ∆S/D = 0.05, the results calculated by Equation (31) show good agreement with the simulating results of the present study. The maximum error is about 18.2% and the engineering requirements have been met basically. In order to further verify the accuracy of the revised model for large KC (KC_s,p > 4) under random waves, a validation between the revised model and the previous experimental results [21]. The experiment was conducted in a flume (50 m in length, 1.0 m in width and 1.3 m in height) with a slender vertical pile (D = 0.1 m) under random waves. The seabed is composed of 0.13 m deep layer of sand with d₅₀ = 0.6 mm and the water depth is 0.5 m for all tests. The significant wave height is 0.12~0.21 m and the KC_s,p is 5.52~11.38. The comparison between the predicting results by Equation (31) and the experimental results of Corvaro et al. [21] is shown in Figure 17. From Figure 17, the experimental data evenly distributes around the predicted results and the prediction accuracy is favorable when KC_s,p < 8. However, the gap between the predicting results and experimental data becomes large and the Equation (31) overestimates the equilibrium scour depth to some extent when KC_s,p > 8.

Figure 16. Comparison of S_eq between the simulating results and the predicting values by Equation (31).

Figure 17. Comparison of S_eq/D between the Experimental results of Corvaro et al. [21] and the predicting values by Equation (31).

In ocean environment, the waves are composed of a train of sinusoidal waves with different frequencies and amplitudes. The energy of constituent waves with very large and very small frequencies is relatively low, and the energy of waves is mainly concentrated in a certain range of moderate frequencies. Myrhaug and Rue [37] thought the 1/n’th highest wave was responsible for scour and proposed the stochastic model to predict the equilibrium scour depth around pile under random waves for full range of KC. Noteworthy is that the KC was denoted by KC_rms,a in the stochastic model. To verify the application of the stochastic model for predicting scour depth around USAF, a validation between the simulating results of present study and predicting results by the stochastic model with n = 2,3,5,10,20,500 was carried out respectively.

As shown in Figure 18, compared with the simulating results, the stochastic model underestimates the equilibrium scour depth around USAF generally. Although the error exists, the varying trend of S_eq with KC_rms,a obtained from the stochastic model is consistent with the present study basically. What’s more, the gap between the predicting values by stochastic model and the simulating results decreases with the increase of n, but for large n, for example n = 500, the varying trend diverges between the predicting values and simulating results, meaning it’s not feasible only by increasing n in stochastic model to predict the equilibrium scour depth around USAF.

Figure 18. Comparison of S_eq between the simulating results and the predicting values by Equation (8).

The Figure 19 lists the deviation value ∆S_eq/D′ between the predicting values and simulating results with different KC_rms,a and n. Then, fitted the relationship between the ∆S′and n under different KC_rms,a, and the fitting curve can be written by Equation (32). The revised stochastic model (Equation (33)) can be acquired by adding ∆S_eq/D′ to Equation (8).

ΔSeq/D=0.052*exp(−n/6.566)+0.068∆�eq/�=0.052*exp(−�/6.566)+0.068(32)

S′eq¯/D=S′eq/D+0.052*exp(−n/6.566)+0.068�eq′¯/�=�eq′/�+0.052*exp(−�/6.566)+0.068(33)

Figure 19. The fitting line between ∆S′and n.

The comparison between the predicting results by Equation (33) and the simulating results of present study is shown in Figure 20. According to the Figure 20, the varying trend of S_eq with KC_rms,a obtained from the stochastic model is consistent with the present study basically. Compared with predicting results by the stochastic model, the results calculated by Equation (33) is favorable. Moreover, comparison with simulating results indicates that the predicting results are the most favorable for n = 10, which is consistent with the findings of Myrhaug and Rue [37] for equilibrium scour depth predicting around slender pile in case of random waves.

Figure 20. Comparison of S_eq between the simulating results and the predicting values by Equation (33).

In order to further verify the accuracy of the Equation (33) for large KC (KC_rms,a > 4) under random waves, a validation was conducted between the Equation (33) and the previous experimental results of Sumer and Fredsøe [16] and Corvaro et al. [21]. The details of experiments conducted by Corvaro et al. [21] were described in above section. Sumer and Fredsøe [16] investigated the local scour around pile under random waves. The experiments were conducted in a wave basin with a slender vertical pile (D = 0.032, 0.055 m). The seabed is composed of 0.14 m deep layer of sand with d₅₀ = 0.2 mm and the water depth was maintained at 0.5 m. The JONSWAP wave spectrum was used and the KC_rms,a was 5.29~16.95. The comparison between the predicting results by Equation (33) and the experimental results of Sumer and Fredsøe [16] and Corvaro et al. [21] are shown in Figure 21. From Figure 21, contrary to the case of low KC_rms,a (KC_rms,a < 4), the error between the predicting values and experimental results increases with decreasing of n for KC_rms,a > 4. Therefore, the predicting results are the most favorable for n = 2 when KC_rms,a > 4.

Figure 21. Comparison of S_eq between the experimental results of Sumer and Fredsøe [16] and Corvaro et al. [21] and the predicting values by Equation (33).

Noteworthy is that the present model was built according to prototype size, so the errors between the numerical results and experimental data of References [16,21] may be attribute to the scale effects. In laboratory experiments on scouring process, it is typically impossible to ensure a rigorous similarity of all physical parameters between the model and prototype structure, leading to the scale effects in the laboratory experiments. To avoid a cohesive behaviour, the bed material was not scaled geometrically according to model scale. As a consequence, the relatively large-scaled sediments sizes may result in the overestimation of bed load transport and underestimation of suspended load transport compared with field conditions. What’s more, the disproportional scaled sediment presumably lead to the difference of bed roughness between the model and prototype, and thus large influences for wave boundary layer on the seabed and scour process. Besides, according to Corvaro et al. [21] and Schendel et al. [55], the pile Reynolds numbers and Froude numbers both affect the scour depth for the condition of non fully developed turbulent flow in laboratory experiments.

4.4. Parametric Study

4.4.1. Influence of Froude Number

As described above, the set of foundation leads to the adverse pressure gradient appearing at upstream, leading to the wave boundary layer separating from seabed, then horseshoe vortex formatting and the horseshoe vortex are mainly responsible for scour around foundation (see Figure 22). The Froude number F_r is the key parameter to influence the scale and intensity of horseshoe vortex. The F_r under waves can be calculated by the following formula [42]

Fr=UwgD−−−√�r=�w��(34)

where U_w is the mean water particle velocity during 1/4 cycle of wave oscillation, obtained from the following formula. Noteworthy is that the root-mean-square (RMS) value of near-bed velocity amplitude U_wm,rms is used for calculating U_wm.

Uw=1T/4∫0T/4Uwmsin(t/T)dt=2πUwm�w=1�/4∫0�/4�wmsin(�/�)��=2��wm(35)

Figure 22. Sketch of flow field at upstream USAF edges.

Tavouktsoglou et al. [25] proposed the following formula between F_r and the vertical location of the stagnation y

yh∝Fer�ℎ∝�r�(36)

where e is constant.

The Figure 23 displays the relationship between S_eq/D and F_r of the present study. In order to compare with the simulating results, the experimental data of Corvaro et al. [21] was also depicted in Figure 23. As shown in Figure 23, the equilibrium scour depth appears a logarithmic increase as F_r increases and approaches the mathematical asymptotic value, which is also consistent with the experimental results of Corvaro et al. [21]. According to Figure 24, the adverse pressure gradient pressure at upstream USAF edges increases with the increase of F_r, which is benefit for the wave boundary layer separating from seabed, resulting in the high-intensity horseshoe vortex, hence, causing intensive scour around USAF. Based on the previous study of Tavouktsoglou et al. [25] for scour around pile under currents, the high F_r leads to the stagnation point is closer to the mean sea level for shallow water, causing the stronger downflow kinetic energy. As mentioned in previous section, the energy of downflow at upstream makes up the energy of the subsequent horseshoe vortex, so the stronger downflow kinetic energy results in the more intensive horseshoe vortex. Therefore, the higher F_r leads to the more intensive horseshoe vortex by influencing the position of stagnation point y presumably. Qi and Gao [19] carried out a series of flume tests to investigate the scour around pile under regular waves, and proposed the fitting formula between S_eq/D and F_r as following

lg(Seq/D)=Aexp(B/Fr)+Clg(�eq/�)=�exp(�/�r)+�(37)

where A, B and C are constant.

Figure 23. The fitting curve between S_eq/D and F_r.

Figure 24. Sketch of adverse pressure gradient at upstream USAF edges.

Took the Equation (37) to fit the simulating results with A = −0.002, B = 0.686 and C = −0.808, and the results are shown in Figure 23. From Figure 23, the simulating results evenly distribute around the Equation (37) and the varying trend of S_eq/D and F_r in present study is consistent with Equation (37) basically, meaning the Equation (37) is applicable to express the relationship of S_eq/D with F_r around USAF under random waves.

4.4.2. Influence of Euler Number

The Euler number E_u is the influencing factor for the hydrodynamic field around foundation. The E_u under waves can be calculated by the following formula. The E_u can be represented by the Equation (38) for uniform cylinders [25]. The root-mean-square (RMS) value of near-bed velocity amplitude U_m,rms is used for calculating U_m.

Eu=U2mgD�u=�m2��(38)

where U_m is depth-averaged flow velocity.

The Figure 25 displays the relationship between S_eq/D and E_u of the present study. In order to compare with the simulating results, the experimental data of Sumer and Fredsøe [16] and Corvaro et al. [21] were also plotted in Figure 25. As shown in Figure 25, similar with the varying trend of S_eq/D and F_r, the equilibrium scour depth appears a logarithmic increase as E_u increases and approaches the mathematical asymptotic value, which is also consistent with the experimental results of Sumer and Fredsøe [16] and Corvaro et al. [21]. According to Figure 24, the adverse pressure gradient pressure at upstream USAF edges increases with the increasing of E_u, which is benefit for the wave boundary layer separating from seabed, inducing the high-intensity horseshoe vortex, hence, causing intensive scour around USAF.

Figure 25. The fitting curve between S_eq/D and E_u.

Therefore, the variation of F_r and E_u reflect the magnitude of adverse pressure gradient pressure at upstream. Given that, the Equation (37) also was used to fit the simulating results with A = 8.875, B = 0.078 and C = −9.601, and the results are shown in Figure 25. From Figure 25, the simulating results evenly distribute around the Equation (37) and the varying trend of S_eq/D and E_u in present study is consistent with Equation (37) basically, meaning the Equation (37) is also applicable to express the relationship of S_eq/D with E_u around USAF under random waves. Additionally, according to the above description of F_r, it can be inferred that the higher F_r and E_u both lead to the more intensive horseshoe vortex by influencing the position of stagnation point y presumably.

5. Conclusions

A series of numerical models were established to investigate the local scour around umbrella suction anchor foundation (USAF) under random waves. The numerical model was validated for hydrodynamic and morphology parameters by comparing with the experimental data of Khosronejad et al. [52], Petersen et al. [17], Sumer and Fredsøe [16] and Schendel et al. [22]. Based on the simulating results, the scour evolution and scour mechanisms around USAF under random waves were analyzed respectively. Two revised models were proposed according to the model of Raaijmakers and Rudolph [34] and the stochastic model developed by Myrhaug and Rue [37] to predict the equilibrium scour depth around USAF under random waves. Finally, a parametric study was carried out with the present model to study the effects of the Froude number F_r and Euler number E_u to the equilibrium scour depth around USAF under random waves. The main conclusions can be described as follows.(1)

The packed sediment scour model and the RNG k−ε turbulence model were used to simulate the sand particles transport processes and the flow field around UASF respectively. The scour evolution obtained by the present model agrees well with the experimental results of Khosronejad et al. [52], Petersen et al. [17], Sumer and Fredsøe [16] and Schendel et al. [22], which indicates that the present model is accurate and reasonable for depicting the scour morphology around UASF under random waves.(2)

The vortex system at wave crest phase is mainly related to the scour process around USAF under random waves. The maximum scour depth appeared at the lee-side of the USAF at the initial stage (t < 1200 s). Subsequently, when t > 2400 s, the location of the maximum scour depth shifted to the upside of the USAF at an angle of about 45° with respect to the wave propagating direction.(3)

The error is negligible and the Raaijmakers’s model is of relatively high accuracy for predicting scour around USAF under random waves when KC is calculated by KC_s,p. Given that, a further revision model (Equation (31)) was proposed according to Raaijmakers’s model to predict the equilibrium scour depth around USAF under random waves and it shows good agreement with the simulating results of the present study when KC_s,p < 8.(4)

Another further revision model (Equation (33)) was proposed according to the stochastic model established by Myrhaug and Rue [37] to predict the equilibrium scour depth around USAF under random waves, and the predicting results are the most favorable for n = 10 when KC_rms,a < 4. However, contrary to the case of low KC_rms,a, the predicting results are the most favorable for n = 2 when KC_rms,a > 4 by the comparison with experimental results of Sumer and Fredsøe [16] and Corvaro et al. [21].(5)

The same formula (Equation (37)) is applicable to express the relationship of S_eq/D with E_u or F_r, and it can be inferred that the higher F_r and E_u both lead to the more intensive horseshoe vortex and larger S_eq.

Author Contributions

Conceptualization, H.L. (Hongjun Liu); Data curation, R.H. and P.Y.; Formal analysis, X.W. and H.L. (Hao Leng); Funding acquisition, X.W.; Writing—original draft, R.H. and P.Y.; Writing—review & editing, X.W. and H.L. (Hao Leng); The final manuscript has been approved by all the authors. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by the Fundamental Research Funds for the Central Universities (grant number 202061027) and the National Natural Science Foundation of China (grant number 41572247).

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

The data presented in this study are available on request from the corresponding author.

Conflicts of Interest

The authors declare no conflict of interest.

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Hu, R.; Liu, H.; Leng, H.; Yu, P.; Wang, X. Scour Characteristics and Equilibrium Scour Depth Prediction around Umbrella Suction Anchor Foundation under Random Waves. J. Mar. Sci. Eng. 2021, 9, 886. https://doi.org/10.3390/jmse9080886

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Hu R, Liu H, Leng H, Yu P, Wang X. Scour Characteristics and Equilibrium Scour Depth Prediction around Umbrella Suction Anchor Foundation under Random Waves. Journal of Marine Science and Engineering. 2021; 9(8):886. https://doi.org/10.3390/jmse9080886Chicago/Turabian Style

Hu, Ruigeng, Hongjun Liu, Hao Leng, Peng Yu, and Xiuhai Wang. 2021. “Scour Characteristics and Equilibrium Scour Depth Prediction around Umbrella Suction Anchor Foundation under Random Waves” Journal of Marine Science and Engineering 9, no. 8: 886. https://doi.org/10.3390/jmse9080886

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Study on Hydrodynamic Performance of Unsymmetrical Double Vertical Slotted Barriers

침수된 강성 식생을 갖는 개방 수로 흐름의 특성에 대한 3차원 수치 시뮬레이션

A 3-D numerical simulation of the characteristics of open channel flows with submerged rigid vegetation

Journal of Hydrodynamics volume 33, pages833–843 (2021)Cite this article

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Abstract

이 백서는 Flow-3D를 적용하여 다양한 흐름 배출 및 식생 시나리오가 흐름 속도(세로, 가로 및 수직 속도 포함)에 미치는 영향을 조사합니다.

실험적 측정을 통한 검증 후 식생직경, 식생높이, 유량방류량에 대한 민감도 분석을 수행하였다. 종방향 속도의 경우 흐름 구조에 가장 큰 영향을 미치는 것은 배출보다는 식생 직경에서 비롯됩니다.

그러나 식생 높이는 수직 분포의 변곡점을 결정합니다. 식생지 내 두 지점, 즉 상류와 하류의 횡속도를 비교하면 수심에 따른 대칭적인 패턴을 확인할 수 있다. 식생 지역의 가로 및 세로 유체 순환 패턴을 포함하여 흐름 또는 식생 시나리오와 관계없이 수직 속도에 대해서도 동일한 패턴이 관찰됩니다.

또한 식생의 직경이 클수록 이러한 패턴이 더 분명해집니다. 상부 순환은 초목 캐노피 근처에서 발생합니다. 식생지역의 가로방향과 세로방향의 순환에 관한 이러한 발견은 침수식생을 통한 3차원 유동구조를 밝혀준다.

This paper applies the Flow-3D to investigate the impacts of different flow discharge and vegetation scenarios on the flow velocity (including the longitudinal, transverse and vertical velocities). After the verification by using experimental measurements, a sensitivity analysis is conducted for the vegetation diameter, the vegetation height and the flow discharge. For the longitudinal velocity, the greatest impact on the flow structure originates from the vegetation diameter, rather than the discharge. The vegetation height, however, determines the inflection point of the vertical distribution. Comparing the transverse velocities at two positions in the vegetated area, i.e., the upstream and the downstream, a symmetric pattern is identified along the water depth. The same pattern is also observed for the vertical velocity regardless of the flow or vegetation scenario, including both transverse and vertical fluid circulation patterns in the vegetated area. Moreover, the larger the vegetation diameter is, the more evident these patterns become. The upper circulation occurs near the vegetation canopy. These findings regarding the circulations along the transverse and vertical directions in the vegetated region shed light on the 3-D flow structure through the submerged vegetation.

Key words

Submerged rigid vegetation
longitudinal velocity
transverse velocity
vertical velocity
open channel

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Figure 5. Schematic view of flap and support structure [32]

Design Optimization of Ocean Renewable Energy Converter Using a Combined Bi-level Metaheuristic Approach

결합된 Bi-level 메타휴리스틱 접근법을 사용한 해양 재생 에너지 변환기의 설계 최적화

Erfan Amini ^a1, Mahdieh Nasiri ^b1, Navid Salami Pargoo ^a, Zahra Mozhgani ^c, Danial Golbaz ^d, Mehrdad Baniesmaeil ^e, Meysam Majidi Nezhad ^f, Mehdi Neshat ^gj, Davide Astiaso Garcia ^h, Georgios Sylaios ⁱ

Abstract

In recent years, there has been an increasing interest in renewable energies in view of the fact that fossil fuels are the leading cause of catastrophic environmental consequences. Ocean wave energy is a renewable energy source that is particularly prevalent in coastal areas. Since many countries have tremendous potential to extract this type of energy, a number of researchers have sought to determine certain effective factors on wave converters’ performance, with a primary emphasis on ambient factors. In this study, we used metaheuristic optimization methods to investigate the effects of geometric factors on the performance of an Oscillating Surge Wave Energy Converter (OSWEC), in addition to the effects of hydrodynamic parameters. To do so, we used CATIA software to model different geometries which were then inserted into a numerical model developed in Flow3D software. A Ribed-surface design of the converter’s flap is also introduced in this study to maximize wave-converter interaction. Besides, a Bi-level Hill Climbing Multi-Verse Optimization (HCMVO) method was also developed for this application. The results showed that the converter performs better with greater wave heights, flap freeboard heights, and shorter wave periods. Additionally, the added ribs led to more wave-converter interaction and better performance, while the distance between the flap and flume bed negatively impacted the performance. Finally, tracking the changes in the five-dimensional objective function revealed the optimum value for each parameter in all scenarios. This is achieved by the newly developed optimization algorithm, which is much faster than other existing cutting-edge metaheuristic approaches.

Keywords

Wave Energy Converter

OSWEC

Hydrodynamic Effects

Geometric Design

Metaheuristic Optimization

Multi-Verse Optimizer

¹. ^Introduction

The increase in energy demand, the limitations of fossil fuels, as well as environmental crises, such as air pollution and global warming, are the leading causes of calling more attention to harvesting renewable energy recently [1], [2], [3]. While still in its infancy, ocean wave energy has neither reached commercial maturity nor technological convergence. In recent decades, remarkable progress has been made in the marine energy domain, which is still in the early stage of development, to improve the technology performance level (TPL) [4], [5]and technology readiness level (TRL) of wave energy converters (WECs). This has been achieved using novel modeling techniques [6], [7], [8], [9], [10], [11], [12], [13], [14] to gain the following advantages [15]: (i) As a source of sustainable energy, it contributes to the mix of energy resources that leads to greater diversity and attractiveness for coastal cities and suppliers. [16] (ii) Since wave energy can be exploited offshore and does not require any land, in-land site selection would be less expensive and undesirable visual effects would be reduced. [17] (iii) When the best layout and location of offshore site are taken into account, permanent generation of energy will be feasible (as opposed to using solar energy, for example, which is time-dependent) [18].

In general, the energy conversion process can be divided into three stages in a WEC device, including primary, secondary, and tertiary stages [19], [20]. In the first stage of energy conversion, which is the subject of this study, the wave power is converted to mechanical power by wave-structure interaction (WSI) between ocean waves and structures. Moreover, the mechanical power is transferred into electricity in the second stage, in which mechanical structures are coupled with power take-off systems (PTO). At this stage, optimal control strategies are useful to tune the system dynamics to maximize power output [10], [13], [12]. Furthermore, the tertiary energy conversion stage revolves around transferring the non-standard AC power into direct current (DC) power for energy storage or standard AC power for grid integration [21], [22]. We discuss only the first stage regardless of the secondary and tertiary stages. While Page 1 of 16 WECs include several categories and technologies such as terminators, point absorbers, and attenuators [15], [23], we focus on oscillating surge wave energy converters (OSWECs) in this paper due to its high capacity for industrialization [24].

Over the past two decades, a number of studies have been conducted to understand how OSWECs’ structures and interactions between ocean waves and flaps affect converters performance. Henry et al.’s experiment on oscillating surge wave energy converters is considered as one of the most influential pieces of research [25], which demonstrated how the performance of oscillating surge wave energy converters (OSWECs) is affected by seven different factors, including wave period, wave power, flap’s relative density, water depth, free-board of the flap, the gap between the tubes, gap underneath the flap, and flap width. These parameters were assessed in their two models in order to estimate the absorbed energy from incoming waves [26], [27]. In addition, Folly et al. investigated the impact of water depth on the OSWECs performance analytically, numerically, and experimentally. According to this and further similar studies, the average annual incident wave power is significantly reduced by water depth. Based on the experimental results, both the surge wave force and the power capture of OSWECs increase in shallow water [28], [29]. Following this, Sarkar et al. found that under such circumstances, the device that is located near the coast performs much better than those in the open ocean [30]. On the other hand, other studies are showing that the size of the converter, including height and width, is relatively independent of the location (within similar depth) [31]. Subsequently, Schmitt et al. studied OSWECs numerically and experimentally. In fact, for the simulation of OSWEC, OpenFOAM was used to test the applicability of Reynolds-averaged Navier-Stokes (RANS) solvers. Then, the experimental model reproduced the numerical results with satisfying accuracy [32]. In another influential study, Wang et al. numerically assessed the effect of OSWEC’s width on their performance. According to their findings, as converter width increases, its efficiency decreases in short wave periods while increases in long wave periods [33]. One of the main challenges in the analysis of the OSWEC is the coupled effect of hydrodynamic and geometric variables. As a result, numerous cutting-edge geometry studies have been performed in recent years in order to find the optimal structure that maximizes power output and minimizes costs. Garcia et al. reviewed hull geometry optimization studies in the literature in [19]. In addition, Guo and Ringwood surveyed geometric optimization methods to improve the hydrodynamic performance of OSWECs at the primary stage [14]. Besides, they classified the hull geometry of OSWECs based on Figure 1. Subsequently, Whittaker et al. proposed a different design of OSWEC called Oyster2. There have been three examples of different geometries of oysters with different water depths. Based on its water depth, they determined the width and height of the converter. They also found that in the constant wave period the less the converter’s width, the less power captures the converter has [34]. Afterward, O’Boyle et al. investigated a type of OSWEC called Oyster 800. They compared the experimental and numerical models with the prototype model. In order to precisely reproduce the shape, mass distribution, and buoyancy properties of the prototype, a 40th-scale experimental model has been designed. Overall, all the models were fairly accurate according to the results [35].

Inclusive analysis of recent research avenues in the area of flap geometry has revealed that the interaction-based designs of such converters are emerging as a novel approach. An initiative workflow is designed in the current study to maximizing the wave energy extrication by such systems. To begin with, a sensitivity analysis plays its role of determining the best hydrodynamic values for installing the converter’s flap. Then, all flap dimensions and characteristics come into play to finalize the primary model. Following, interactive designs is proposed to increase the influence of incident waves on the body by adding ribs on both sides of the flap as a novel design. Finally, a new bi-level metaheuristic method is proposed to consider the effects of simultaneous changes in ribs properties and other design parameters. We hope this novel approach will be utilized to make big-scale projects less costly and justifiable. The efficiency of the method is also compared with four well known metaheuristic algorithms and out weight them for this application.

This paper is organized as follows. First, the research methodology is introduced by providing details about the numerical model implementation. To that end, we first introduced the primary model’s geometry and software details. That primary model is later verified with a benchmark study with regard to the flap angle of rotation and water surface elevation. Then, governing equations and performance criteria are presented. In the third part of the paper, we discuss the model’s sensitivity to lower and upper parts width (we proposed a two cross-sectional design for the flap), bottom elevation, and freeboard. Finally, the novel optimization approach is introduced in the final part and compared with four recent metaheuristic algorithms.

2. Numerical Methods

In this section, after a brief introduction of the numerical software, Flow3D, boundary conditions are defined. Afterwards, the numerical model implementation, along with primary model properties are described. Finally, governing equations, as part of numerical process, are discussed.

^2.1. ^{Model Setup}

FLOW-3D is a powerful and comprehensive CFD simulation platform for studying fluid dynamics. This software has several modules to solve many complex engineering problems. In addition, modeling complex flows is simple and effective using FLOW-3D’s robust meshing capabilities [36]. Interaction between fluid and moving objects might alter the computational range. Dynamic meshes are used in our modeling to take these changes into account. At each time step, the computational node positions change in order to adapt the meshing area to the moving object. In addition, to choose mesh dimensions, some factors are taken into account such as computational accuracy, computational time, and stability. The final grid size is selected based on the detailed procedure provided in [37]. To that end, we performed grid-independence testing on a CFD model using three different mesh grid sizes of 0.01, 0.015, and 0.02 meters. The problem geometry and boundary conditions were defined the same, and simulations were run on all three grids under the same conditions. The predicted values of the relevant variable, such as velocity, was compared between the grids. The convergence behavior of the numerical solution was analyzed by calculating the relative L2 norm error between two consecutive grids. Based on the results obtained, it was found that the grid size of 0.02 meters showed the least error, indicating that it provided the most accurate and reliable solution among the three grids. Therefore, the grid size of 0.02 meters was selected as the optimal spatial resolution for the mesh grid.

In this work, the flume dimensions are 10 meters long, 0.1 meters wide, and 2.2 meters high, which are shown in figure2. In addition, input waves with linear characteristics have a height of 0.1 meters and a period of 1.4 seconds. Among the linear wave methods included in this software, RNGk-ε and k- ε are appropriate for turbulence model. The research of Lopez et al. shows that RNGk- ε provides the most accurate simulation of turbulence in OSWECs [21]. We use CATIA software to create the flap primary model and other innovative designs for this project. The flap measures 0.1 m x 0.65 m x 0.360 m in x, y and z directions, respectively. In Figure 3, the primary model of flap and its dimensions are shown. In this simulation, five boundaries have been defined, including 1. Inlet, 2. Outlet, 3. Converter flap, 4. Bed flume, and 5. Water surface, which are shown in figure 2. Besides, to avoid wave reflection in inlet and outlet zones, Flow3D is capable of defining some areas as damping zones, the length of which has to be one to one and a half times the wavelength. Therefore, in the model, this length is considered equal to 2 meters. Furthermore, there is no slip in all the boundaries. In other words, at every single time step, the fluid velocity is zero on the bed flume, while it is equal to the flap velocity on the converter flap. According to the wave theory defined in the software, at the inlet boundary, the water velocity is called from the wave speed to be fed into the model.

^2.2. ^Verification

In the current study, we utilize the Schmitt experimental model as a benchmark for verification, which was developed at the Queen’s University of Belfast. The experiments were conducted on the flap of the converter, its rotation, and its interaction with the water surface. Thus, the details of the experiments are presented below based up on the experimental setup’s description [38]. In the experiment, the laboratory flume has a length of 20m and a width of 4.58m. Besides, in order to avoid incident wave reflection, a wave absorption source is devised at the end of the left flume. The flume bed, also, includes two parts with different slops. The flap position and dimensions of the flume can be seen in Figure4. In addition, a wave-maker with 6 paddles is installed at one end. At the opposite end, there is a beach with wire meshes. Additionally, there are 6 indicators to extract the water level elevation. In the flap model, there are three components: the fixed support structure, the hinge, and the flap. The flap measures 0.1m x 0.65m x 0.341m in x, y and z directions, respectively. In Figure5, the details are given [32]. The support structure consists of a 15 mm thick stainless steel base plate measuring 1m by 1.4m, which is screwed onto the bottom of the tank. The hinge is supported by three bearing blocks. There is a foam centerpiece on the front and back of the flap which is sandwiched between two PVC plates. Enabling changes of the flap, three metal fittings link the flap to the hinge. Moreover, in this experiment, the selected wave is generated based on sea wave data at scale 1:40. The wave height and the wave period are equal to 0.038 (m) and 2.0625 (s), respectively, which are tantamount to a wave with a period of 13 (s) and a height of 1.5 (m).

Two distinct graphs illustrate the numerical and experi-mental study results. Figure6 and Figure7 are denoting the angle of rotation of flap and surface elevation in computational and experimental models, respectively. The two figures roughly represent that the numerical and experimental models are a good match. However, for the purpose of verifying the match, we calculated the correlation coefficient (C) and root mean square error (RMSE). According to Figure6, correlation coefficient and RMSE are 0.998 and 0.003, respectively, and in Figure7 correlation coefficient and RMSE are respectively 0.999 and 0.001. Accordingly, there is a good match between the numerical and empirical models. It is worth mentioning that the small differences between the numerical and experimental outputs may be due to the error of the measuring devices and the calibration of the data collection devices.

Including continuity equation and momentum conserva- tion for incompressible fluid are given as [32], [39]:(1)

where P represents the pressure, g denotes gravitational acceleration, u represents fluid velocity, and Di is damping coefficient. Likewise, the model uses the same equation. to calculate the fluid velocity in other directions as well. Considering the turbulence, we use the two-equation model of RNGK- ε. These equations are:

(3)��t(��)+��(��)=��[�eff��]+��-��and(4)��(��)+��(��)=��[�eff��]+�1�∗��-��2��2�Where �2� and �1� are constants. In addition, �� and �� represent the turbulent Prandtl number of � and k, respectively.

�� also denote the production of turbulent kinetic energy of k under the effect of velocity gradient, which is calculated as follows:(5)��=�eff[��+��]��(6)�eff=�+��(7)�eff=�+��where � is molecular viscosity,�� represents turbulence viscosity, k denotes kinetic energy, and ∊∊ is energy dissipation rate. The values of constant coefficients in the two-equation RNGK ∊-∊ model is as shown in the Table 1 [40].Table 2.

Table 1. Constant coefficients in RNGK-∊ model

Factors	�	�0	�1	�2	��	��	��
Quantity	0.012	4.38	1.42	1.68	1.39	1.39	0.084

Table 2. Flap properties

Joint height (m)	0.476
Height of the center of mass (m)	0.53
Weight (Kg)	10.77

It is worth mentioning that the volume of fluid method is used to separate water and air phases in this software [41]. Below is the equation of this method [40].(8)��+��(��)=0where α and 1 − _α are portion of water phase and air phase, respectively. As a weighting factor, each fluid phase portion is used to determine the mixture properties. Finally, using the following equations, we calculate the efficiency of converters [42], [34], [43]:(9)�=14|�|2�+�2+(�+�a)2(�n2-�2)2where �� represents natural frequency, I denotes the inertia of OSWEC, Ia is the added inertia, F is the complex wave force, and B denotes the hydrodynamic damping coefficient. Afterward, the capture factor of the converter is calculated by [44]:(10)��=�1/2��2��gw where �� represents the capture factor, which is the total efficiency of device per unit length of the wave crest at each time step [15], �� represent the dimensional amplitude of the incident wave, w is the flap’s width, and Cg is the group velocity of the incident wave, as below:(11)��=��0·121+2�0ℎsinh2�0ℎwhere �0 denotes the wave number, h is water depth, and H is the height of incident waves.

According to previous sections ∊,��-∊ modeling is used for all models simulated in this section. For this purpose, the empty boundary condition is used for flume walls. In order to preventing wave reflection at the inlet and outlet of the flume, the length of wave absorption is set to be at least one incident wavelength. In addition, the structured mesh is chosen, and the mesh dimensions are selected in two distinct directions. In each model, all grids have a length of 2 (cm) and a height of 1 (cm). Afterwards, as an input of the software for all of the models, we define the time step as 0.001 (s). Moreover, the run time of every simulation is 30 (s). As mentioned before, our primary model is Schmitt model, and the flap properties is given in table2. For all simulations, the flume measures 15 meters in length and 0.65 meters in width, and water depth is equal to 0.335 (m). The flap is also located 7 meters from the flume’s inlet.

Finally, in order to compare the results, the capture factor is calculated for each simulation and compared to the primary model. It is worth mentioning that capture factor refers to the ratio of absorbed wave energy to the input wave energy.

According to primary model simulation and due to the decreasing horizontal velocity with depth, the wave crest has the highest velocity. Considering the fact that the wave’s orbital velocity causes the flap to move, the contact between the upper edge of the flap and the incident wave can enhance its performance. Additionally, the numerical model shows that the dynamic pressure decreases as depth increases, and the hydrostatic pressure increases as depth increases.

To determine the OSWEC design, it is imperative to understand the correlation between the capture factor, wave period, and wave height. Therefore, as it is shown in Figure8, we plot the change in capture factor over the variations in wave period and wave height in 3D and 2D. In this diagram, the first axis features changes in wave period, the second axis displays changes in wave height, and the third axis depicts changes in capture factor. According to our wave properties in the numerical model, the wave period and wave height range from 2 to 14 seconds and 2 to 8 meters, respectively. This is due to the fact that the flap does not oscillate if the wave height is less than 2 (m), and it does not reverse if the wave height is more than 8 (m). In addition, with wave periods more than 14 (s), the wavelength would be so long that it would violate the deep-water conditions, and with wave periods less than 2 (s), the flap would not oscillate properly due to the shortness of wavelength. The results of simulation are shown in Figure 8. As it can be perceived from Figure 8, in a constant wave period, the capture factor is in direct proportion to the wave height. It is because of the fact that waves with more height have more energy to rotate the flap. Besides, in a constant wave height, the capture factor increases when the wave period increases, until a given wave period value. However, the capture factor falls after this point. These results are expected since the flap’s angular displacement is not high in lower wave periods, while the oscillating motion of that is not fast enough to activate the power take-off system in very high wave periods.

As is shown in Figure 9, we plot the change in capture factor over the variations in wave period (s) and water depth (m) in 3D. As it can be seen in this diagram, the first axis features changes in water depth (m), the second axis depicts the wave period (s), and the third axis displays OSWEC’s capture factor. The wave period ranges from 0 to 10 seconds based on our wave properties, which have been adopted from Schmitt’s model, while water depth ranges from 0 to 0.5 meters according to the flume and flap dimensions and laboratory limitations. According to Figure9, for any specific water depth, the capture factor increases in a varying rate when the wave period increases, until a given wave period value. However, the capture factor falls steadily after this point. In fact, the maximum capture factor occurs when the wave period is around 6 seconds. This trend is expected since, in a specific water depth, the flap cannot oscillate properly when the wavelength is too short. As the wave period increases, the flap can oscillate more easily, and consequently its capture factor increases. However, the capture factor drops in higher wave periods because the wavelength is too large to move the flap. Furthermore, in a constant wave period, by changing the water depth, the capture factor does not alter. In other words, the capture factor does not depend on the water depth when it is around its maximum value.

³. ^{Sensitivity Analysis}

Based on previous studies, in addition to the flap design, the location of the flap relative to the water surface (freeboard) and its elevation relative to the flume bed (flap bottom elevation) play a significant role in extracting energy from the wave energy converter. This study measures the sensitivity of the model to various parameters related to the flap design including upper part width of the flap, lower part width of the flap, the freeboard, and the flap bottom elevation. Moreover, as a novel idea, we propose that the flap widths differ in the lower and upper parts. In Figure10, as an example, a flap with an upper thickness of 100 (mm) and a lower thickness of 50 (mm) and a flap with an upper thickness of 50 (mm) and a lower thickness of 100 (mm) are shown. The influence of such discrepancy between the widths of the upper and lower parts on the interaction between the wave and the flap, or in other words on the capture factor, is evaluated. To do so, other parameters are remained constant, such as the freeboard, the distance between the flap and the flume bed, and the wave properties.

In Figure11, models are simulated with distinct upper and lower widths. As it is clear in this figure, the first axis depicts the lower part width of the flap, the second axis indicates the upper part width of the flap, and the colors represent the capture factor values. Additionally, in order to consider a sufficient range of change, the flap thickness varies from half to double the value of the primary model for each part.

According to this study, the greater the discrepancy in these two parts, the lower the capture factor. It is on account of the fact that when the lower part of the flap is thicker than the upper part, and this thickness difference in these two parts is extremely conspicuous, the inertia against the motion is significant at zero degrees of rotation. Consequently, it is difficult to move the flap, which results in a low capture factor. Similarly, when the upper part of the flap is thicker than the lower part, and this thickness difference in these two parts is exceedingly noticeable, the inertia is so great that the flap can not reverse at the maximum degree of rotation. As the results indicate, the discrepancy can enhance the performance of the converter if the difference between these two parts is around 20%. As it is depicted in the Figure11, the capture factor reaches its own maximum amount, when the lower part thickness is from 5 to 6 (cm), and the upper part thickness is between 6 and 7 (cm). Consequently, as a result of this discrepancy, less material will be used, and therefore there will be less cost.

As illustrated in Figure12, this study examines the effects of freeboard (level difference between the flap top and water surface) and the flap bottom elevation (the distance between the flume bed and flap bottom) on the converter performance. In this diagram, the first axis demonstrates the freeboard and the second axis on the left side displays the flap bottom elevation, while the colors indicate the capture factor. In addition, the feasible range of freeboard is between -15 to 15 (cm) due to the limitation of the numerical model, so that we can take the wave slamming and the overtopping into consideration. Additionally, based on the Schmitt model and its scaled model of 1:40 of the base height, the flap bottom should be at least 9 (cm) high. Since the effect of surface waves is distributed over the depth of the flume, it is imperative to maintain a reasonable flap height exposed to incoming waves. Thus, the maximum flap bottom elevation is limited to 19 (cm). As the Figure12 pictures, at constant negative values of the freeboard, the capture factor is in inverse proportion with the flap bottom elevation, although slightly.

Furthermore, at constant positive values of the freeboard, the capture factor fluctuates as the flap bottom elevation decreases while it maintains an overall increasing trend. This is on account of the fact that increasing the flap bottom elevation creates turbulence flow behind the flap, which encumbers its rotation, as well as the fact that the flap surface has less interaction with the incoming waves. Furthermore, while keeping the flap bottom elevation constant, the capture factor increases by raising the freeboard. This is due to the fact that there is overtopping with adverse impacts on the converter performance when the freeboard is negative and the flap is under the water surface. Besides, increasing the freeboard makes the wave slam more vigorously, which improves the converter performance.

Adding ribs to the flap surface, as shown in Figure13, is a novel idea that is investigated in the next section. To achieve an optimized design for the proposed geometry of the flap, we determine the optimal number and dimensions of ribs based on the flap properties as our decision variables in the optimization process. As an example, Figure13 illustrates a flap with 3 ribs on each side with specific dimensions.

Figure14 shows the flow velocity field around the flap jointed to the flume bed. During the oscillation of the flap, the pressure on the upper and lower surfaces of the flap changes dynamically due to the changing angle of attack and the resulting change in the direction of fluid flow. As the flap moves upwards, the pressure on the upper surface decreases, and the pressure on the lower surface increases. Conversely, as the flap moves downwards, the pressure on the upper surface increases, and the pressure on the lower surface decreases. This results in a cyclic pressure variation around the flap. Under certain conditions, the pressure field around the flap can exhibit significant variations in magnitude and direction, forming vortices and other flow structures. These flow structures can affect the performance of the OSWEC by altering the lift and drag forces acting on the flap.

⁴. ^{Design Optimization}

We consider optimizing the design parameters of the flap of converter using a nature-based swarm optimization method, that fall in the category of metaheuristic algorithms [45]. Accordingly, we choose four state-of-the-art algorithms to perform an optimization study. Then, based on their performances to achieve the highest capture factor, one of them will be chosen to be combined with the Hill Climb algorithm to carry out a local search. Therefore, in the remainder of this section, we discuss the search process of each algorithm and visualize their performance and convergence curve as they try to find the best values for decision variables.

4.1. Metaheuristic Approaches

As the first considered algorithm, the Gray Wolf Optimizer (GWO) algorithm simulates the natural leadership and hunting performance of gray wolves which tend to live in colonies. Hunters must obey the alpha wolf, the leader, who is responsible for hunting. Then, the beta wolf is at the second level of the gray wolf hierarchy. A subordinate of alpha wolf, beta stands under the command of the alpha. At the next level in this hierarchy, there are the delta wolves. They are subordinate to the alpha and beta wolves. This category of wolves includes scouts, sentinels, elders, hunters, and caretakers. In this ranking, omega wolves are at the bottom, having the lowest level and obeying all other wolves. They are also allowed to eat the prey just after others have eaten. Despite the fact that they seem less important than others, they are really central to the pack survival. Since, it has been shown that without omega wolves, the entire pack would experience some problems like fighting, violence, and frustration. In this simulation, there are three primary steps of hunting including searching, surrounding, and finally attacking the prey. Mathematically model of gray wolves’ hunting technique and their social hierarchy are applied in determined by optimization. this study. As mentioned before, gray wolves can locate their prey and surround them. The alpha wolf also leads the hunt. Assuming that the alpha, beta, and delta have more knowledge about prey locations, we can mathematically simulate gray wolf hunting behavior. Hence, in addition to saving the top three best solutions obtained so far, we compel the rest of the search agents (also the omegas) to adjust their positions based on the best search agent. Encircling behavior can be mathematically modeled by the following equations: [46].(12)�→=|�→·��→(�)-�→(�)|(13)�→(�+1)=��→(�)-�→·�→(14)�→=2.�2→(15)�→=2�→·�1→-�→Where �→indicates the position vector of gray wolf, ��→ defines the vector of prey, t indicates the current iteration, and �→and �→are coefficient vectors. To force the search agent to diverge from the prey, we use �→ with random values greater than 1 or less than -1. In addition, C→ contains random values in the range [0,2], and �→ ₁ and �2→ are random vectors in [0,1]. The second considered technique is the Moth Flame Optimizer (MFO) algorithm. This method revolves around the moths’ navigation mechanism, which is realized by positioning themselves and maintaining a fixed angle relative to the moon while flying. This effective mechanism helps moths to fly in a straight path. However, when the source of light is artificial, maintaining an angle with the light leads to a spiral flying path towards the source that causes the moth’s death [47]. In MFO algorithm, moths and flames are both solutions. The moths are actual search agents that fly in hyper-dimensional space by changing their position vectors, and the flames are considered pins that moths drop when searching the search space [48]. The problem’s variables are the position of moths in the space. Each moth searches around a flame and updates it in case of finding a better solution. The fitness value is the return value of each moth’s fitness (objective) function. The position vector of each moth is passed to the fitness function, and the output of the fitness function is assigned to the corresponding moth. With this mechanism, a moth never loses its best solution [49]. Some attributes of this algorithm are as follows:

•It takes different values to converge moth in any point around the flame.
•Distance to the flame is lowered to be eventually minimized.
•When the position gets closer to the flame, the updated positions around the flame become more frequent.

As another method, the Multi-Verse Optimizer is based on a multiverse theory which proposes there are other universes besides the one in which we all live. According to this theory, there are more than one big bang in the universe, and each big bang leads to the birth of a new universe [50]. Multi-Verse Optimizer (MVO) is mainly inspired by three phenomena in cosmology: white holes, black holes, and wormholes. A white hole has never been observed in our universe, but physicists believe the big bang could be considered a white hole [51]. Black holes, which behave completely in contrast to white holes, attract everything including light beams with their extremely high gravitational force [52]. In the multiverse theory, wormholes are time and space tunnels that allow objects to move instantly between any two corners of a universe (or even simultaneously from one universe to another) [53]. Based on these three concepts, mathematical models are designed to perform exploration, exploitation, and local search, respectively. The concept of white and black holes is implied as an exploration phase, while the concept of wormholes is considered as an exploitation phase by MVO. Additionally, each solution is analogous to a universe, and each variable in the solution represents an object in that universe. Furthermore, each solution is assigned an inflation rate, and the time is used instead of iterations. Following are the universe rules in MVO:

•The possibility of having white hole increases with the inflation rate.
•The possibility of having black hole decreases with the inflation rate.
•Objects tend to pass through black holes more frequently in universes with lower inflation rates.
•Regardless of inflation rate, wormholes may cause objects in universes to move randomly towards the best universe. [54]

Modeling the white/black hole tunnels and exchanging objects of universes mathematically was accomplished by using the roulette wheel mechanism. With every iteration, the universes are sorted according to their inflation rates, then, based on the roulette wheel, the one with the white hole is selected as the local extremum solution. This is accomplished through the following steps:

Assume that

(16)��=��1<��(��)��1≥��(��)

Where �� represents the jth parameter of the ith universe, Ui indicates the ith universe, NI(Ui) is normalized inflation rate of the ith universe, r1 is a random number in [0,1], and j x_k shows the jth parameter of the kth universe selected by a roulette wheel selection mechanism [54]. It is assumed that wormhole tunnels always exist between a universe and the best universe formed so far. This mechanism is as follows:(17)��=if�2<��:��+��×((��-��)×�4+��)�3<0.5��-��×((��-��)×�4+��)�3≥0.5��:��where Xj indicates the jth parameter of the best universe formed so far, TDR and WEP are coefficients, where Xj indicates the jth parameter of the best universelbjshows the lower bound of the jth variable, ubj is the upper bound of the jth variable, and r2, r3, and r4 are random numbers in [1], [54].

Finally, one of the newest optimization algorithms is WOA. The WOA algorithm simulates the movement of prey and the whale’s discipline when looking for their prey. Among several species, Humpback whales have a specific method of hunting [55]. Humpback whales can recognize the location of prey and encircle it before hunting. The optimal design position in the search space is not known a priori, and the WOA algorithm assumes that the best candidate solution is either the target prey or close to the optimum. This foraging behavior is called the bubble-net feeding method. Two maneuvers are associated with bubbles: upward spirals and double loops. A unique behavior exhibited only by humpback whales is bubble-net feeding. In fact, The WOA algorithm starts with a set of random solutions. At each iteration, search agents update their positions for either a randomly chosen search agent or the best solution obtained so far [56], [55]. When the best search agent is determined, the other search agents will attempt to update their positions toward that agent. It is important to note that humpback whales swim around their prey simultaneously in a circular, shrinking circle and along a spiral-shaped path. By using a mathematical model, the spiral bubble-net feeding maneuver is optimized. The following equation represents this behavior:(18)�→(�+1)=�′→·�bl·cos(2��)+�∗→(�)

Where:(19)�′→=|�∗→(�)-�→(�)|

X→_(t_{+ 1)} indicates the distance of the it h whale to the prey (best solution obtained so far),� is a constant for defining the shape of the logarithmic spiral, l is a random number in [−1_, _1], and dot (.) is an element-by-element multiplication [55].

Comparing the four above-mentioned methods, simulations are run with 10 search agents for 400 iterations. In Figure 15, there are 20 plots the optimal values of different parameters in optimization algorithms. The five parameters of this study are freeboard, bottom elevations, number of ribs on the converter, rib thickness, and rib Height. The optimal value for each was found by optimization algorithms, naming WOA, MVO, MFO, and GWO. By looking through the first row, the freeboard parameter converges to its maximum possible value in the optimization process of GWO after 300 iterations. Similarly, MFO finds the same result as GWO. In contrast, the freeboard converges to its minimum possible value in MVO optimizing process, which indicates positioning the converter under the water. Furthermore, WOA found the optimal value of freeboard as around 0.02 after almost 200 iterations. In the second row, the bottom elevation is found at almost 0.11 (m) in all algorithms; however, the curves follow different trends in each algorithm. The third row shows the number of ribs, where results immediately reveal that it should be over 4. All algorithms coincide at 5 ribs as the optimal number in this process. The fourth row displays the trends of algorithms to find optimal rib thickness. MFO finds the optimal value early and sets it to around 0.022, while others find the same value in higher iterations. Finally, regarding the rib height, MVO, MFO, and GWO state that the optimal value is 0.06 meters, but WOA did not find a higher value than 0.039.

4.2. HCMVO Bi-level Approach

Despite several strong search characteristics of MVO and its high performance in various optimization problems, it suffers from a few deficiencies in local and global search mechanisms. For instance, it is trapped in the local optimum when wormholes stochastically generate many solutions near the best universe achieved throughout iterations, especially in solving complex multimodal problems with high dimensions [57]. Furthermore, MVO needs to be modified by an escaping strategy from the local optima to enhance the global search abilities. To address these shortages, we propose a fast and effective meta-algorithm (HCMVO) to combine MVO with a Random-restart hill-climbing local search. This meta-algorithm uses MVO on the upper level to develop global tracking and provide a range of feasible and proper solutions. The hill-climbing algorithm is designed to develop a comprehensive neighborhood search around the best-found solution proposed by the upper-level (MVO) when MVO is faced with a stagnation issue or falling into a local optimum. The performance threshold is formulated as follows.(20)Δ��THD=∑�=1��TH��-��TH��-1�where BestTHDis the best-found solution per generation, andM is related to the domain of iterations to compute the average performance of MVO. If the proposed best solution by the local search is better than the initial one, the global best of MVO will be updated. HCMVO iteratively runs hill climbing when the performance of MVO goes down, each time with an initial condition to prepare for escaping such undesirable situations. In order to get a better balance between exploration and exploitation, the search step size linearly decreases as follows:(21)��=��-��Ma�iter��+1where iter and Maxiter are the current iteration and maximum number of evaluation, respectively. �� stands for the step size of the neighborhood search. Meanwhile, this strategy can improve the convergence rate of MVO compared with other algorithms.

Algorithm 1 shows the technical details of the proposed optimization method (HCMVO). The initial solution includes freeboard (�), bottom elevation (�), number of ribs (Nr), rib thickness (�), and rib height(�).

5. Conclusion

The high trend of diminishing worldwide energy resources has entailed a great crisis upon vulnerable societies. To withstand this effect, developing renewable energy technologies can open doors to a more reliable means, among which the wave energy converters will help the coastal residents and infrastructure. This paper set out to determine the optimized design for such devices that leads to the highest possible power output. The main goal of this research was to demonstrate the best design for an oscillating surge wave energy converter using a novel metaheuristic optimization algorithm. In this regard, the methodology was devised such that it argued the effects of influential parameters, including wave characteristics, WEC design, and interaction criteria.

To begin with, a numerical model was developed in Flow 3D software to simulate the response of the flap of a wave energy converter to incoming waves, followed by a validation study based upon a well-reputed experimental study to verify the accuracy of the model. Secondly, the hydrodynamics of the flap was investigated by incorporating the turbulence. The effect of depth, wave height, and wave period are also investigated in this part. The influence of two novel ideas on increasing the wave-converter interaction was then assessed: i) designing a flap with different widths in the upper and lower part, and ii) adding ribs on the surface of the flap. Finally, four trending single-objective metaheuristic optimization methods

Empty Cell	Algorithm 1: Hill Climb Multiverse Optimization
01:	procedure HCMVO
02:	�=30,�=5▹��
03:	�=〈F1,B1,N,R,H1〉,…〈FN,B2,N,R,HN〉⇒lb1N⩽�⩽ubN
04:	Initialize parameters�ER,�DR,�EP,Best�,��ite��▹Wormhole existence probability (WEP)
05:	��=��(��)
06:	��=Normalize the inflation rate��
07:	for iter in[1,⋯,��iter]do
08:	for�in[1,⋯,�]do
09:	Update�EP,�DR,Black��Index=�
10:	for��[1,⋯,�]��
11:	�1=��()
12:	if�1≤��(��)then
13:	White HoleIndex=Roulette�heelSelection(-��)
14:	�(Black HoleIndex,�)=��(White HoleIndex,�)
15:	*end if*
16:	�2=��([0,�])
17:	if�2≤�EPthen
18:	�3=��(),�4=��()
19:	if�3<0.5then
20:	�1=((��(�)-��(�))×�4+��(�))
21:	�(�,�)=Best�(�)+�DR×�
22:	*else*
23:	�(�,�)=Best�(�)-�DR×�
24:	*end if*
25:	*end if*
26:	*end for*
27:	*end for*
28:	�HD=��([�1,�2,⋯,�Np])
29:	Bes�TH�itr=��HD
30:	ΔBestTHD=∑�=1�BestTII��-BestTII��-1�
31:	ifΔBestTHD<��then▹Perform hill climbing local search
32:	BestTHD=��-�lim��THD
33:	*end if*
34:	*end for*
35:	return�,BestTHD▹Final configuration
36:	end procedure

The implementation details of the hill-climbing algorithm applied in HCMPA can be seen in Algorithm 2. One of the critical parameters isg, which denotes the resolution of the neighborhood search around the proposed global best by MVO. If we set a small step size for hill-climbing, the convergence speed will be decreased. On the other hand, a large step size reinforces the exploration ability. Still, it may reduce the exploitation ability and in return increase the act of jumping from a global optimum or surfaces with high-potential solutions. Per each decision variable, the neighborhood search evaluates two different direct searches, incremental or decremental. After assessing the generated solutions, the best candidate will be selected to iterate the search algorithm. It is noted that the hill-climbing algorithm should not be applied in the initial iteration of the optimization process due to the immense tendency for converging to local optima. Meanwhile, for optimizing largescale problems, hill-climbing is not an appropriate selection. In order to improve understanding of the proposed hybrid optimization algorithm’s steps, the flowchart of HCMVO is designed and can be seen in Figure 16.

Figure 17 shows the observed capture factor (which is the absorbed energy with respect to the available energy) by each optimization algorithm from iterations 1 to 400. The algorithms use ten search agents in their modified codes to find the optimal solutions. While GWO and MFO remain roughly constant after iterations 54 and 40, the other three algorithms keep improving the capture factor. In this case, HCMVO and MVO worked very well in the optimizing process with a capture factor obtained by the former as 0.594 and by the latter as 0.593. MFO almost found its highest value before the iteration 50, which means the exploration part of the algorithm works out well. Similarly, HCMVO does the same. However, it keeps finding the better solution during the optimization process until the last iteration, indicating the strong exploitation part of the algorithm. GWO reveals a weakness in exploration and exploitation because not only does it evoke the least capture factor value, but also the curve remains almost unchanged throughout 350 iterations.

Figure 18 illustrates complex interactions between the five optimization parameters and the capture factor for HCMVO (a), MPA (b), and MFO (c) algorithms. The first interesting observation is that there is a high level of nonlinear relationships among the setting parameters that can make a multi-modal search space. The dark blue lines represent the best-found configuration throughout the optimisation process. Based on both HCMVO (a) and MVO (b), we can infer that the dark blue lines concentrate in a specific range, showing the high convergence ability of both HCMVO and MVO. However, MFO (c) could not find the exact optimal range of the decision variables, and the best-found solutions per generation distribute mostly all around the search space.

Empty Cell	Algorithm 1: Hill Climb Multiverse Optimization
01:	procedure HCMVO
02:	Initialization
03:	Initialize the constraints��1�,��1�
04:	�1�=Mi�1�+��1�/�▹Compute the step size,�is search resolution
05:	So�1=〈�,�,�,�,�〉▹��
06:	��1=��So�1▹��ℎ��
07:	Main loop
08:	for iter≤��ita=do
09:	��=��±��
10:	while�≤��(Sol1)do
11:	��=��+�,▹��ℎ��ℎ��ℎ
12:	fitness��iter=��
13:	t = t+1
14:	end while
15:	〈��,��max〉=��
16:	��itev=��Inde�max▹��ℎ��ℎ��
17:	��=��-��Max��+1▹��
18:	end for
19:	return��iter,��
20:	end procedure

were utilized to illuminate the optimum values of the design parameters, and the best method was chosen to develop a new algorithm that performs both local and global search methods.

The correlation between hydrodynamic parameters and the capture factor of the converter was supported by the results. For any given water depth, the capture factor increases as the wave period increases, until a certain wave period value (6 seconds) is reached, after which the capture factor gradually decreases. It is expected since the flap cannot oscillate effectively when the wavelength is too short for a certain water depth. Conversely, when the wavelength is too long, the capture factor decreases. Furthermore, under a constant wave period, increasing the water depth does not affect the capture factor. Regarding the sensitivity analysis, the study found that increasing the flap bottom elevation causes turbulence flow behind the flap and limitation of rotation, which leads to less interaction with the incoming waves. Furthermore, while keeping the flap bottom elevation constant, increasing the freeboard improves the capture factor. Overtopping happens when the freeboard is negative and the flap is below the water surface, which has a detrimental influence on converter performance. Furthermore, raising the freeboard causes the wave impact to become more violent, which increases converter performance.

In the last part, we discussed the search process of each algorithm and visualized their performance and convergence curves as they try to find the best values for decision variables. Among the four selected metaheuristic algorithms, the Multi-verse Optimizer proved to be the most effective in achieving the best answer in terms of the WEC capture factor. However, the MVO needed modifications regarding its escape approach from the local optima in order to improve its global search capabilities. To overcome these constraints, we presented a fast and efficient meta-algorithm (HCMVO) that combines MVO with a Random-restart hill-climbing local search. On a higher level, this meta-algorithm employed MVO to generate global tracking and present a range of possible and appropriate solutions. Taken together, the results demonstrated that there is a significant degree of nonlinearity among the setup parameters that might result in a multimodal search space. Since MVO was faced with a stagnation issue or fell into a local optimum, we constructed a complete neighborhood search around the best-found solution offered by the upper level. In sum, the newly-developed algorithm proved to be highly effective for the problem compared to other similar optimization methods. The strength of the current findings may encourage future investigation on design optimization of wave energy converters using developed geometry as well as the novel approach.

CRediT authorship contribution statement

Erfan Amini: Conceptualization, Methodology, Validation, Data curation, Writing – original draft, Writing – review & editing, Visualization. Mahdieh Nasiri: Conceptualization, Methodology, Validation, Data curation, Writing – original draft, Writing – review & editing, Visualization. Navid Salami Pargoo: Writing – original draft, Writing – review & editing. Zahra Mozhgani: Conceptualization, Methodology. Danial Golbaz: Writing – original draft. Mehrdad Baniesmaeil: Writing – original draft. Meysam Majidi Nezhad: . Mehdi Neshat: Supervision, Conceptualization, Writing – original draft, Writing – review & editing, Visualization. Davide Astiaso Garcia: Supervision. Georgios Sylaios: Supervision.

Declaration of Competing Interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Acknowledgement

This research has been carried out within ILIAD (Inte-grated Digital Framework for Comprehensive Maritime Data and Information Services) project that received funding from the European Union’s H2020 programme.

Data availability

Data will be made available on request.

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Effect of tailwater depth on non-cohesive earth dam failure due to overtopping

범람으로 인한 비점착성 흙댐 붕괴에 대한 테일워터 깊이의 영향

ShaimaaAman^aMohamedAbdelrazek Rezk^bRabieaNasr^c

Abstract

본 연구에서는 범람으로 인한 토사댐 붕괴에 대한 테일워터 깊이의 영향을 실험적으로 조사하였다. 테일워터 깊이의 네 가지 다른 값을 검사합니다. 각 실험에 대해 댐 수심 측량 프로파일의 진화, 고장 기간, 침식 체적 및 유출 수위곡선을 관찰하고 기록합니다.

결과는 tailwater 깊이를 늘리면 고장 시간이 최대 57% 감소하고 상대적으로 침식된 마루 높이가 최대 77.6% 감소한다는 것을 보여줍니다. 또한 상대 배수 깊이가 3, 4, 5인 경우 누적 침식 체적의 감소는 각각 23, 36.5 및 75%인 반면 최대 유출량의 감소는 각각 7, 14 및 17.35%입니다.

실험 결과는 침식 과정을 복제할 때 Flow 3D 소프트웨어의 성능을 평가하는 데 활용됩니다. 수치 모델은 비응집성 흙댐의 침식 과정을 성공적으로 시뮬레이션합니다.

The influence of tailwater depth on earth dam failure due to overtopping is investigated experimentally in this work. Four different values of tailwater depths are examined. For each experiment, the evolution of the dam bathymetry profile, the duration of failure, the eroded volume, and the outflow hydrograph are observed and recorded. The results reveal that increasing the tailwater depth reduces the time of failure by up to 57% and decreases the relative eroded crest height by up to 77.6%. In addition, for relative tailwater depths equal to 3, 4, and 5, the reduction in the cumulative eroded volume is 23, 36.5, and 75%, while the reduction in peak discharge is 7, 14, and 17.35%, respectively. The experimental results are utilized to evaluate the performance of the Flow 3D software in replicating the erosion process. The numerical model successfully simulates the erosion process of non-cohesive earth dams.

Keywords

Earth dam, Eroded volume, Flow 3D model, Non-cohesive soil, Overtopping failure, Tailwater depth

Notation

d₅₀

Mean partical diameterW_c

Optimum water contentZ_o

Dam height (cm)d_o

Tailwater depth (cm)Z_eroded

Eroded height of the dam measured at distance of 0.7 m from the dam heel (cm)t

Total time of failure (sec)t₁

Time of crest width erosion (sec)Z_crest

The crest height (cm)V_total

Total volume of the dam (m³)V_eroded

Cumulative eroded volume (m³)RMSE

The statistical variable root- mean- square errord

Degree of agreement indexy_u.s.

The upstream water depth (cm)y_d.s

The downstream water depth (cm)H

Water surface elevation over sharp crested weir (cm)Q

Outflow discharge (liter/sec)Q_peak

Peak discharge (liter/sec)

1. Introduction

Earth dams are compacted structures composed of natural materials that are usually mined or quarried from local locations. The failures of the earth dams have proven to be deadly, destructive, and costly. According to People’s Daily, two earthen dams, Yong’an Dam and Xinfa Dam located in Hulun Buir City in North China’s Inner Mongolia failed on 2021, due to a surge in the water level of the Nuomin River caused by heavy rain. The dam breach affected 16,660 people, flooded 325,622 mu of farmland (21708.1 ha), and destroyed 22 bridges, 124 culverts, and 15.6 km of roadways. Also, the failure of south fork dam (earth and rock fill dam) near Johnstown on 1889 is considered the worst U.S dam disaster in terms of loss of life. The dam was overtopped and washed away due to unexpected heavy rains, releasing 20 million tons of water which destroyed Johnstown and resulted in 2209 deaths, [1], [2]. Piping or shear sliding, failure due to natural factors, and failure due to overtopping are all possible causes of earth dam failure. However, overtopping failure is the most frequent cause of dam failure. According to The International Committee on Large Dams (ICOLD, 1995), and [3], more than one-third of the total known dam failures were caused by dam overtopping.

Overtopping occurs as the result of insufficient flood design or freeboard in some cases. Extreme rainstorms can cause floods which can overtop the dam and cause it to fail. The size and geometry of the reservoir or the dam (side slopes, top width, height, etc.), the homogeneity of the material used in the construction of the dam, overtopping depth, and the presence or absence of tailwater are all elements that influence this type of failure which will be illustrated in the following literature. Overtopping failures of earth dams may be divided into several failure mechanisms based on the material composition and the inner structure of the dam. For cohesive earth dams because of low permeability, no seepage exists on the slopes. Erosion often begins at the earth dam toe during turbulent erosion and moves upstream, undercutting the slope, causing the removal of large chunks of materials. While for non-cohesive earth dams the downstream face of the dam flattens progressively and is often said to rotate around a point near the downstream toe [4], [5], [6] In the last few decades, the study of failures due to overtopping has gained popularity among researchers. The overtopping failure, in fact, has been widely investigated in coastal and river hydraulics and morpho dynamic. In addition, several laboratory experimental studies have been conducted in this field in order to better understand different involved factors. Also, many numerical types of research have been conducted to investigate the process of overtopping failure as well as the elements that influence this type of failure.

Tabrizi et al. [5] conducted a series of embankment overtopping tests to find the effect of compaction on the failure of a homogenous sand embankment. A plane breach process occurred across the flume width due to the narrow flume width. They measured the downstream hydrographs and embankment surface profile for every case. They concluded that the peak discharge decreased with a high compaction level, while the time to peak increased. Kansoh et al. [6] studied experimentally the failure of compacted homogeneous non-cohesive earthen embankment due to overtopping. They investigated the influence of different shape parameters including the downstream slope, the crest width, and the height of the embankment on the erosion process. The erosion process was initiated by carving a pilot channel into the embankment crest. They evaluated the time of embankment failure for different shape parameters. They concluded that the failure time increases with increasing the downstream slope and the crest width. Zhu et al. [7] investigated experimentally the breaching of five embankments, one constructed with pure sand, and four with different sand-silt–clay mixtures. The erosion pattern was similar across the flume width. They stated that for cohesive soil mixtures the head cut erosion was the most important factor that affected the breach growth, while for non-cohesive soil the breach erosion was affected by shear erosion.

Amaral et al. [8] studied experimentally the failure by overtopping for two embankments built from silt sand material. They studied the effect of the degree of compaction of the embankment and the geometry of the pilot channel carved at the centre of the dam crest. They studied two shapes of pilot channel a rectangular shape and triangular shape. They stated that the breach development is influenced by a higher degree of compaction, however, the pilot channel geometry did not influence the breach’s final form. Bereta et al. [9] studied experimentally the breach formation of five dam models, three of them were homogenous clay soil while two were sandy-clay mixtures. The erosion process was initiated by cutting a pilot channel at the centre of the dam crest. They observed the initiation of erosion, flow shear erosion, sidewall bottom erosion, and distinguished the soil mechanical slope mass failure from the head cut vertically and laterally during these tests. Verma et al. [10] investigated experimentally a two-dimensional erosion phenomenon due to overtopping by using a wooden fuse plug model and five different soils. They concluded that the erosion process was affected mostly by cohesiveness and degree of compaction. For cohesive soils, a head cut erosion was observed, while for non-cohesive soils surface erosion occurred gradually. Also, the dimensions of fuse plug, type of fill material, reservoir capacity, and inflow were found to affect the behaviour of the overall breaching process.

Wu and Qin [11] studied the effect of adding coarse grains to the downstream face of a non-cohesive dam as a result of tailings deposition. The process of overtopping during tailings dam failures is analyzed and its effect on delaying the dam-break process and disaster mitigation are investigated. They found that the tested protective measures decreased the breach area, the maximum breaching flow discharge and flow velocity, and the downstream inundated area. Khankandi et al. [12] studied experimentally the effect of reservoir geometry on dam break flow in case of dry and wet bed conditions. They considered four different reservoir shapes, a long reservoir, a wide, a trapezoidal shaped and one with a 90◦ bend all with identical water volume and horizontal bed. The dam break is simulated by the sudden gate removal using a pneumatic jack. They measured the variation of water level over time with ultrasonic sensors and flow velocity component with an acoustic Doppler velocimeter. Also, the experimental results of water level variation are compared with Ritters solution (1892) [13]. They stated that for dry bed condition the long and 90 bend reservoirs results are close to the analytical solution by ritter also in these two shapes a 1D flow is noticed. However, for wide and trapezoidal reservoirs a 2D effect is significant due to flow contraction at channel entrance.

Rifai et al. [14] conducted a series of experiments to investigate the effect of tailwater depth on the outflow discharge and breach geometry during non-cohesive homogenous fluvial dikes overtopping failure. They cut an initial notch in the crest at 0.8 m from the upstream end of the dike to initiate overtopping. They compared their results to previous experiments under different main channel inflow discharges combined with a free floodplain. They divided the dike breaching process into three stages: gradual start of overtopping flow resulting in slow initiation of dike erosion, deepening and widening breach due to large flow depth and velocity, finally the flow depth starts stabilizing at its minimal level with or without sustained breach expansion. They stated that breach discharge has lower values than in free floodplain tests. Jiang [15] studied the effect of bed slope on breach parameters and peak discharge in non-cohesive embankment failure. An initial triangular breach with a depth and width of 4 cm was pre-set on one side of the dam. He stated that peak discharge increases with the increase of bed slope and then decreases.

Ozmen-cagatay et al. [16] studied experimentally flood wave propagation resulted from a sudden dam break event. For dam-break modelling, they used a mechanism that permitted the rapid removal of a vertical plate with a thickness of 4 mm and made of rigid plastic. They conducted three tests, one with dry bed condition and two tests with tailwater depths equal 0.025 m and 0.1 m respectively. They recorded the free surface profile during initial stages of dam break by using digital image processing. Finally, they compared the experimental results with the with a commercially available VOF-based CFD program solving the Reynolds-averaged Navier –Stokes equations (RANS) with the k– Ɛ turbulence model and the shallow water equations (SWEs). They concluded that Wave breaking was delayed with increasing the tailwater depth to initial reservoir depth ratio. They also stated that the SWE approach is sufficient more to represent dam break flows for wet bed condition. Evangelista [17] investigated experimentally and numerically using a depth-integrated two-phase model, the erosion of sand dike caused by the impact of a dam break wave. The dam break is simulated by a sudden opening of an upstream reservoir gate resulting in the overtopping of a downstream trapezoidal sand dike. The evolution of the water wave caused from the gate opening and dike erosion process are recorded by using a computer-controlled camera. The experimental results demonstrated that the progression of the wave front and dike erosion have a considerable influence on each other during the process. In addition, the dike constructed from fine sands was more resistant to erosion than the one built with coarse sand. They also stated that the numerical model can is capable of accurately predicting wave front position and dike erosion. Also, Di Cristo et al. [18] studied the effect of dam break wave propagation on a sand embankment both experimentally and numerically using a two-phase shallow-water model. The evolution of free surface and of the embankment bottom are recorded and used in numerical model assessment. They stated that the model allows reasonable simulation of the experimental trends of the free surface elevation regardeless of the geofailure operator.

Lots of numerical models have been developed over the past few years to simulate the dam break flooding problem. A one-dimensional model, such as Hec-Ras, DAMBRK and MIKE 11, ect. A two-dimensional model such as iRIC Nay2DH is used in earth embankment breach simulation. Other researchers studied the failure process numerically using (3D) computational fluid dynamics (CFD) models, such as FLOW-3D, and FLUENT. Goharnejad et al. [19] determined the outflow hydrograph which results from the embankment dam break due to overtopping. Hu et al. [20] performed a comparison between Flow-3D and MIKE3 FM numerical models in simulating a dam break event under dry and wet bed conditions with different tailwater depths. Kaurav et al. [21] simulated a planar dam breach process due to overtopping. They conducted a sensitivity analysis to find the effect of dam material, dam height, downstream slope, crest width, and inlet discharge on the erosion process and peak discharge through breach. They concluded that downstream slope has a significant influence on breaching process. Yusof et al. [22] studied the effect of embankment sediment sizes and inflow rates on breaching geometric and hydrodynamic parameters. They stated that the peak outflow hydrograph increases with increasing sediment size and inflow rates while time of failure decreases.

In the present work, the effect of tailwater depth on earth dam failure during overtopping is studied experimentally. The relation between the eroded volume of the dam and the tailwater depth is presented. Also, the percentage of reduction in peak discharge due to tailwater existence is calculated. An assessment of Flow 3D software performance in simulating the erosion process during earth dam failure is introduced. The statistical variable root- mean- square error, RMSE, and the agreement degree index, d, are used in model assessment.

2. Material and methods

The tests are conducted in a straight rectangular flume in the laboratory of Irrigation Engineering and Hydraulics Department, Faculty of Engineering, Alexandria University, Egypt. The flume dimensions are 10 m long, 0.86 m wide, and 0.5 m deep. The front part of the flume is connected to a storage basin 1 m long by 0.86 m wide. The storage basin is connected to a collecting tank for water recirculation during the experiments as shown in Fig. 1, Fig. 2. A sharp-crested weir is placed at a distance of 4 m downstream the constructed dam to keep a constant tailwater depth in each experiment and to measure the outflow discharge.

To measure the eroded volume with time a rods technique is used. This technique consists of two parallel wooden plates with 10 cm distance in between and five rows of stainless-steel rods passing vertically through the wooden plates at a spacing of 20 cm distributed across flume width. Each row consists of four rods with 15 cm spacing between them. Also, a graph board is provided to measure the drop in each rod with time as shown in Fig. 3, Fig. 4. After dam construction the rods are carefully rested on the dam, with the first line of rods resting in the middle of the dam crest and then a constant distance of 15 cm between rods lines is maintained.

A soil sample is taken and tested in the laboratory of the soil mechanics to find the soil geotechnical parameters. The soil particle size distribution is also determined by sieve analysis as shown in Fig. 5. The soil mean diameter d₅₀,equals 0.38 mm and internal friction angle equals 32.6°.

2.1. Experimental procedures

To investigate the effect of the tailwater depth (d_o), the tailwater depth is changed four times 5, 15, 20, and 25 cm on the sand dam model. The dam profile is 35 cm height, with crest width = 15 cm, the dam base width is 155 cm, and the upstream and downstream slopes are 2:1 as shown in Fig. 6. The dam dimensions are set as the flume permitted to allow observation of the dam erosion process under the available flume dimensions and conditions. All of the conducted experiments have the same dimensions and configurations.

The optimum water content, W_c, from the standard proctor test is found to be 8 % and the maximum dry unit weight is 19.42 kN/m³. The soil and water are mixed thoroughly to ensure consistency and then placed on three horizontal layers. Each layer is compacted according to ASTM standard with 25 blows by using a rammer (27 cm × 20.5 cm) weighing 4 kg. Special attention is paid to the compaction of the soil to guarantee the repeatability of the tests.

After placing and compacting the three layers, the dam slopes are trimmed carefully to form the trapezoidal shape of the dam. A small triangular pilot channel with 1 cm height and 1:1 side slopes is cut into the dam crest to initiate the erosion process. The position of triangular pilot channel is presented in Fig. 1. Three digital video cameras with a resolution of 1920 × 1080 pixels and a frame rate of 60 fps are placed in three different locations. One camera on one side of the flume to record the progress of the dam profile during erosion. Another to track the water level over the sharp-crested rectangular weir placed at the downstream end of the flume. And the third camera is placed above the flume at the downstream side of the dam and in front of the rods to record the drop of the tip of the rods with time as shown previously in Fig. 1.

Before starting the experiment, the water is pumped into the storage basin by using pump with capacity 360 m³/hr, and then into the upstream section of the flume. The upstream boundary is an inflow condition. The flow discharge provided to the storage basin is kept at a constant rate of 6 L/sec for all experiments, while the downstream boundary is an outflow boundary condition.

Also, the required tailwater depth for each experiment is filled to the desired depth. A dye container valve is opened to color the water upstream of the dam to make it easy to distinguish the dam profile from the water profile. A wooden board is placed just upstream of the dam to prevent water from overtopping the dam until the water level rises to a certain level above the dam crest and then the wooden board is removed slowly to start the experiment.

2.2. Repeatability

To verify the accuracy of the results, each experiment is repeated two times under the same conditions. Fig. 7 shows the relative eroded crest height, Z_eroded / Z_o, with time for 5 cm tailwater depth. From the Figure, it can be noticed that results for all runs are consistent, and accuracy is achieved.

3. Numerical model

The commercially available numerical model, Flow 3D is used to simulate the dam failure due to overtopping for the cases of 15 cm, 20 cm and 25 cm tailwater depths. For numerical model calibration, experimental results for dam surface evolution are used. The numerical model is calibrated for selection of the optimal turbulence model (RNG, K-e, and k-w) and sediment scour equations (Van Rin, Meyer- peter and Muller, and Nielsen) that produce the best results. In this, the flow field is solved by the RNG turbulence model, and the van Rijn equation is used for the sediment scour model. A geometry file is imported before applying the mesh.

A Mesh sensitivity is analyzed and checked for various cell sizes, and it is found that decreasing the cell size significantly increases the simulation time with insignificant differences in the result. It is noticed that the most important factor influencing cell size selection is the value of the dam’s upstream and downstream slopes. For example, the slopes in the dam model are 2:1, thus the cell size ratio in X and Z directions should be 2:1 as well. The cell size in a mesh block is set to be 0.02 m, 0.025 m, and 0.01 m in X, Y and Z directions respectively.

In the numerical computations, the boundary conditions employed are the walls for sidewalls and the channel bottom. The pressure boundary condition is applied at the top, at the air–water interface, to account for atmospheric pressure on the free surface. The upstream boundary is volume flow rate while the downstream boundary is outflow discharge.

The initial condition is a fluid region, which is used to define fluid areas both upstream and downstream of the dam. To assess the model accuracy, the statistical variable root- mean- square error, RMSE, and the agreement degree index, d, are calculated as(1)RMSE=1N∑i=1N(Pi-Mi)2(2)d=1-∑Mi-Pi2∑Mi-M¯+Pi-P¯2

where N is the number of samples, P_i and M_i are the models and experimental values, P and M are the means of the model and experimental values. The best fit between the experimental and model results would have an RMSE = 0 and degree of agreement, d = 1.

4. Results of experimental work

The results of the total time of failure, t (defined as the time from when the water begins to overtop the dam crest until the erosion reaches a steady state, when no erosion occurs), time of crest width erosion t₁, cumulative eroded volume V_eroded, and peak discharge Q_peak for each experiment are listed in Table 1. The case of 5 cm tailwater depth is considered as a reference case in this work.

Table 1. Results of experimental work.

*Tailwater depth, d_o* (cm)**	*Total time of failure, t (sec)*	*Time of crest width erosion, t₁ (sec)*	*cumulative eroded volume, V_eroded* (m³)**	*Peak discharge, Q_peak* (liter/sec)**
5	255	22	0.21	13.12
15	165	30	0.16	12.19
20	140	34	0.13	11.29
25	110	39	0.05	10.84

5. Discussion

5.1. Side erosion

The evolution of the bathymetry of the erosion line recorded by the video camera1. The videos are split into frames (60 frames/sec) by the Free Video to JPG Converter v.5.063 build and then converted into an excel spreadsheet using MATLAB code as shown in Fig. 8.

Fig. 9 shows a sample of numerical model output. Fig. 10, Fig. 11, Fig. 12 show a dam profile development for different time steps from both experimental and numerical model, for tailwater depths equal 15 cm, 20 cm and 25 cm. Also, the values of RMSE and d for each figure are presented. The comparison shows that the Flow 3D software can simulate the erosion process of non-cohesive earth dam during overtopping with an RMSE value equals 0.023, 0.0218, and 0.0167 and degree of agreement, d, equals 0.95, 0.968, and 0.988 for relative tailwater depths, d_o/(d_o)_ref, = 3, 4 and 5, respectively. The low values of RMSE and high values of d show that the Flow 3D can effectively simulate the erosion process. From Fig. 10, Fig. 11, Fig. 12, it can be noticed that the model is not capable of reproducing the head cut, while it can simulate well the degradation of the crest height with a minor difference from experimental work. The reason of this could be due to inability of simulation of all physical conditions which exists in the experimental work, such as channel friction and the grain size distribution of the dam soil which is surely has a great effect on the erosion process and breach development. In the experimental work the grain size distribution is shown in Fig. 5, while the numerical model considers that the soil is uniform and exactly 50 % of the dam particles diameter are equal to the d₅₀ value. Another reason is that the model is not considering the increased resistance of the dam due to the apparent cohesion which happens due to dam saturation [23].

It is clear from both the experimental and numerical results that for a 5 cm tailwater depth, d_o/(d_o)_ref = 1.0, erosion begins near the dam toe and continues upward on the downstream slope until it reaches the crest. After eroding the crest width, the crest is lowered, resulting in increased flow rates and the speeding up of the erosion process. While for relative tailwater depths, d_o/(d_o)_ref = 3, 4, and 5 erosion starts at the point of intersection between the downstream slope and tailwater. The existence of tailwater works as an energy dissipater for the falling water which reduces the erosion process and prevents the dam from failure as shown in Fig. 13. It is found that the time of the failure decreases with increasing the tailwater depth because most of the dam height is being submerged with water which decreases the erosion process. The reduction in time of failure from the referenced case is found to be 35.3, 45, and 57 % for relative tailwater depth, d_o /(d_o)_ref equals 3, 4, and 5, respectively.

The relation between the relative eroded crest height, Z_eroded /Z_o, with time is drawn as shown in Fig. 14. It is found that the relative eroded crest height decreases with increasing tailwater depth by 10, 41, and 77.6 % for relative tailwater depth, d_o /(d_o)_ref equals 3, 4, and 5, respectively. The time required for the erosion of the crest width, t₁, is calculated for each experiment. The relation between relative tailwater depth and relative time of crest width erosion is shown in Fig. 15. It is found that the time of crest width erosion increases linearly with increasing, d_o /Z_o. The percent of increase is 36.4, 54.5 and 77.3 % for relative tailwater depth, d_o /(d_o)_ref = 3, 4 and 5, respectively.

Crest height, Z_crest is calculated from the experimental results and the Flow 3D results for relative tailwater depths, d_o/(d_o)_ref, = 3, 4, and 5. A relation between relative crest height, Z_crest/Z_o with time from experimental and numerical results is presented in Fig. 16. From Fig. 16, it is seen that there is a good consistency between the results of numerical model and the experimental results in the case of tracking the erosion of the crest height with time.

5.2. Upstream and downstream water depths

It is noticed that at the beginning of the erosion process, both upstream and downstream water depths increase linearly with time as long as erosion of the crest height did not take place. However, when the crest height starts to lower the upstream water depth decreases with time while the downstream water depth increases. At the end of the experiment, the two depths are nearly equal. A relation between relative downstream and upstream water depths with time is drawn for each experiment as shown in Fig. 17.

5.3. Eroded volume

A MATLAB code is used to calculate the cumulative eroded volume every time interval for each experiment. The total volume of the dam, V_total is 0.256 m³. The cumulative eroded volume, V_eroded is 0.21, 0.16, 0.13, and 0.05 m³ for tailwater depths, d_o = 5, 15, 20, and 25 cm, respectively. Fig. 18 presents the relation between cumulative eroded volume, V_eroded and time. From Fig. 18, it is observed that the cumulative eroded volume decreases with increasing the tailwater depth. The reduction in cumulative eroded volume is 23, 36.5, and 75 % for relative tailwater depth, d_o /(d_o)_ref = 3, 4, and 5, respectively. The relative remained volume of the dam equals 0.18, 0.375, 0.492, and 0.8 for tailwater depths = 5, 15, 20, and 25 cm, respectively. Fig. 19 shows a relation between relative tailwater depth and relative cumulative eroded volume from experimental results. From that figure, it is noticed that the eroded volume decreases exponentially with increasing relative tailwater depth.

5.4. The outflow discharge

The inflow discharge provided to the storage tank is maintained constant for all experiments. The water surface elevation, H, over the sharp-crested weir placed at the downstream side is recorded by the video camera 2. For each experiment, the outflow discharge is then calculated by using the sharp-crested rectangular weir equation every 10 sec.

The outflow discharge is found to increase rapidly until it reaches its peak then it decreases until it is constant. For high values of tailwater depths, the peak discharge becomes less than that in the case of small tailwater depth as shown in Fig. 20 which agrees well with the results of Rifai et al. [14] The reduction in peak discharge is 7, 14, and 17.35 % for relative tailwater depth, d_o /(d_o)_ref = 3, 4, and 5, respectively.

The scenario presented in this article in which the tailwater depth rises due to unexpected heavy rainfall, is investigated to find the effect of rising tailwater depth on earth dam failure. The results revealed that rising tailwater depth positively affects the process of dam failure in terms of preventing the dam from complete failure and reducing the outflow discharge.

6. Conclusions

The effect of tailwater depth on earth dam failure due to overtopping is investigated experimentally in this work. The study focuses on the effect of tailwater depth on side erosion, upstream and downstream water depths, eroded volume, outflow hydrograph, and duration of the failure process. The Flow 3D numerical software is used to simulate the dam failure, and a comparison is made between the experimental and numerical results to find the ability of this software to simulate the erosion process. The following are the results of the investigation:

The existence of tailwater with high depths prevents the dam from completely collapsing thereby turning it into a broad crested weir. The failure time decreases with increasing the tailwater depth and the reduction from the reference case is found to be 35.3, 45, and 57 % for relative tailwater depth, d_o /(d_o)_ref = 3, 4, and 5, respectively. The difference between the upstream and downstream water depths decreases with time till it became almost negligible at the end of the experiment. The reduction in cumulative eroded volume is 23, 36.5, and 75 % for relative tailwater depth, d_o /(d_o)_ref = 3, 4, and 5, respectively. The peak discharge decreases by 7, 14, and 17.35 % for relative tailwater depth, d_o /(d_o)_ref = 3, 4, and 5, respectively. The relative eroded crest height decreases linearly with increasing the tailwater depth by 10, 41, and 77.6 % for relative tailwater depth, d_o /(d_o)_ref = 3, 4, and 5, respectively. The numerical model can reproduce the erosion process with a minor deviation from the experimental results, particularly in terms of tracking the degradation of the crest height with time.

Declaration of Competing Interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Cited by (0)

My name is Shaimaa Ibrahim Mohamed Aman and I am a teaching assistant in Irrigation and Hydraulics department, Faculty of Engineering, Alexandria University. I graduated from the Faculty of Engineering, Alexandria University in 2013. I had my MSc in Irrigation and Hydraulic Engineering in 2017. My research interests lie in the area of earth dam Failures.

Peer review under responsibility of Ain Shams University.

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Numerical study of the dam-break waves and Favre waves down sloped wet rigid-bed at laboratory scale

WenjunLiu^a BoWang^a YakunGuo^b^aState Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource and Hydropower, Sichuan University, Chengdu 610065, China^bFaculty of Engineering & Informatics, University of Bradford, BD7 1DP, UK

Highlights

경사진 습윤층에서 댐파괴유동과 FFavre 파를 수치적으로 조사하였다.
수직 대 수평 속도의 비율이 먼저 정량화됩니다.
유동 상태는 유상 경사가 큰 후기 단계에서 크게 변경됩니다.
Favre 파도는 수직 속도와 수직 가속도에 큰 영향을 미칩니다.
베드 전단응력의 변화는 베드 기울기와 꼬리물의 영향을 받습니다.

Abstract

The bed slope and the tailwater depth are two important ones among the factors that affect the propagation of the dam-break flood and Favre waves. Most previous studies have only focused on the macroscopic characteristics of the dam-break flows or Favre waves under the condition of horizontal bed, rather than the internal movement characteristics in sloped channel. The present study applies two numerical models, namely, large eddy simulation (LES) and shallow water equations (SWEs) models embedded in the CFD software package FLOW-3D to analyze the internal movement characteristics of the dam-break flows and Favre waves, such as water level, the velocity distribution, the fluid particles acceleration and the bed shear stress, under the different bed slopes and water depth ratios. The results under the conditions considered in this study show that there is a flow state transition in the flow evolution for the steep bed slope even in water depth ratio α = 0.1 (α is the ratio of the tailwater depth to the reservoir water depth). The flow state transition shows that the wavefront changes from a breaking state to undular. Such flow transition is not observed for the horizontal slope and mild bed slope. The existence of the Favre waves leads to a significant increase of the vertical velocity and the vertical acceleration. In this situation, the SWEs model has poor prediction. Analysis reveals that the variation of the maximum bed shear stress is affected by both the bed slope and tailwater depth. Under the same bed slope (e.g., S₀ = 0.02), the maximum bed shear stress position develops downstream of the dam when α = 0.1, while it develops towards the end of the reservoir when α = 0.7. For the same water depth ratio (e.g., α = 0.7), the maximum bed shear stress position always locates within the reservoir at S₀ = 0.02, while it appears in the downstream of the dam for S₀ = 0 and 0.003 after the flow evolves for a while. The comparison between the numerical simulation and experimental measurements shows that the LES model can predict the internal movement characteristics with satisfactory accuracy. This study improves the understanding of the effect of both the bed slope and the tailwater depth on the internal movement characteristics of the dam-break flows and Favre waves, which also provides a valuable reference for determining the flood embankment height and designing the channel bed anti-scouring facility.

Fig. 1. Sketch of related variables involved in shallow water model.

Fig. 2. Flume model in numerical simulation.

Fig. 3. Grid sensitivity analysis (a) water surface profile; (b) velocity profile.

Fig. 4. Sketch of experimental set-up for validating the velocity profile.

Fig. 5. Sketch of experimental set-up for validating the bed shear stress.

Fig. 6. Model validation results (a) variation of the velocity profile; (b) error value of the velocity profile; (c) variation of the bed shear stress; (d) error value of the bed shear stress.

Fig. 7. Schematic diagram of regional division.

Fig. 8. Variation of water surface profile (a) α = 0.1; (b) α = 0.3; (c) α = 0.5; (d) α = 0.7.

Fig. 9. Froude number for α = 0.1 (a) variation with time; (b) variation with wavefront position.

Fig. 10. Characteristics of velocity distribution (a) α = 0.1; (b) α = 0.3; (c) α = 0.5; (d) α = 0.7.

Fig. 11. Average proportion of the vertical velocity (a) α = 0.1; (b) α = 0.3; (c) α = 0.5; (d) α = 0.7.

Fig. 12. Bed shear stress distribution (a) α = 0.1; (b) α = 0.3; (c) α = 0.5; (d) α = 0.7.

Fig. 13. Variation of the maximum bed shear stress position with time (a) α = 0.1; (b) α = 0.3; (c) α = 0.5; (d) α = 0.7.

Fig. 14. Time when the maximum bed shear stress appears at different positions (a) α = 0.1; (b) α = 0.3; (c) α = 0.5; (d) α = 0.7.

Fig. 15. Movement characteristics of the fluid particles (a) α = 0.1; (b) α = 0.3; (c) α = 0.5; (d) α = 0.7.

Keywords

Dam-break flow, Bed slope, Wet bed, Velocity profile, Bed shear stress, Large eddy simulation

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Fig. 6. Experiment of waves passing through a single block of porous medium.

Generalization of a three-layer model for wave attenuation in n-block submerged porous breakwater

NadhiraKarima^a IkhaMagdalena^a^b IndrianaMarcela^a MohammadFarid^b^aFaculty of Mathematics and Natural Sciences, Bandung Institute of Technology, 40132, Indonesia^bCenter for Coastal and Marine Development, Bandung Institute of Technology, Indonesia

Highlights

•A new three-layer model for n-block submerged porous breakwaters is developed.

•New analytical approach in finding the wave transmission coefficient is presented.

•A finite volume method successfully simulates the wave attenuation process.

•Porous media blocks characteristics and configuration can optimize wave reduction.

Abstract

높은 파도 진폭은 해안선에 위험한 영향을 미치고 해안 복원력을 약화시킬 수 있습니다. 그러나 다중 다공성 매체는 해양 생태계의 환경 친화적인 해안 보호 역할을 할 수 있습니다.

이 논문에서 우리는 n개의 잠긴 다공성 미디어 블록이 있는 영역에서 파동 진폭 감소를 계산하기 위해 3층 깊이 통합 방정식을 사용합니다. 수학적 모델은 파동 전달 계수를 얻기 위해 여러 행렬 방정식을 포함하는 변수 분리 방법을 사용하여 해석적으로 해결됩니다.

이 계수는 진폭 감소의 크기에 대한 정보를 제공합니다. 또한 모델을 수치적으로 풀기 위해 지그재그 유한 체적 방법이 적용됩니다.

수치 시뮬레이션을 통해 다공성 매질 블록의 구성과 특성이 투과파 진폭을 줄이는 데 중요하다는 결론을 내렸습니다.

High wave amplitudes may cause dangerous effects on the shoreline and weaken coastal resilience. However, multiple porous media can act as environmental friendly coastal protectors of the marine ecosystem. In this paper, we use three-layer depth-integrated equations to calculate wave amplitude reduction in a domain with n submerged porous media blocks. The mathematical model is solved analytically using the separation of variables method involving several matrix equations to obtain the wave transmission coefficient. This coefficient provides information about the magnitude of amplitude reduction. Additionally, a staggered finite volume method is applied to solve the model numerically. By conducting numerical simulations, we conclude that porous media blocks’ configuration and characteristics are crucial in reducing transmitted wave amplitude.

Keywords

Three-layer equations, Submerged porous media, Wave transmission coefficient, Finite volume method

Fig. 1. Sketch of the problem configuration.

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Fig. 9 Test facility a plan view, b the bottom elevation of the reservoir to the channel (Bell et al. 1992)

2-D Dam-Break Flow Modeling Based on Weighted Average Flux Method

Iranian Journal of Science and Technology, Transactions of Civil Engineering volume 46, pages1515–1525 (2022)Cite this article

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Abstract

천해 방정식을 기반으로 하는 2차원 흐름 모델은 댐 붕괴 흐름을 모델링하기 위해 개발되었습니다. 공간 이산화는 유한 체적 셀 중심 유형 방법에 의해 얻어집니다.

수치 시스템은 명시적인 방식으로 해결됩니다. 플럭스 모델링은 시간과 공간 모두에서 2차 정확도로 TVD WAF 방식으로 배포되었습니다. 로컬 리만 문제는 셀 인터페이스에서 HLLC 방법으로 해결됩니다. 수치 모델은 모델 결과와 해석 솔루션을 비교하여 검증합니다.

그런 다음 수치 모델의 결과는 90° 및 180° 편차 각도를 갖는 수로 및 삼각형 바텀 씰 위의 직선 수로에서 사용 가능한 실험 데이터와 비교됩니다. 결과는 댐 파괴파를 예측하는 현재 모델의 합리적인 성능을 확인합니다.

A two-dimensional flow model based on shallow water equations is developed for modeling dam-break flows. The spatial discretization is obtained by the finite volume cell centered type method. The numerical system is solved in explicit way. The flux modeling has been deployed by TVD WAF scheme with a second-order accuracy in both time and space. The local Riemann problem is solved by the HLLC method in the interface of the cells. The numerical model is verified by comparison of model results and analytical solutions. Then the results of numerical model are compared with available experimental data of dam-break waves in a channel with 90° and 180° deviation angle and in a straight channel over a triangular bottom sill. The results confirm the reasonable performance of the present model in predicting dam-break waves.

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Keywords

Finite volume
Shallow water equations
Dam-break
HLLC
TVD
WAF

Fig. 2 Generic control volume and notations

Fig. 1 The generated grid for a channel with a 180° bend

Fig. 4 a Water surface profle and b velocity profle of dam-break problem with left dry bed

Fig. 5 a Water surface profle and b velocity profle of appearance dry region

Fig. 6 Comparison of the present model results and exact solution for transcritical fow over a bump with a shock

Fig. 7 Geometry of the reservoir and L-shaped channel: plan view (Soares-Frazao et al. 2019)

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DOI

Fig. 5. The predicted shapes of initial breach (a) Rectangular (b) V-notch. Fig. 6. Dam breaching stages.

Investigating the peak outflow through a spatial embankment dam breach

공간적 제방댐 붕괴를 통한 최대 유출량 조사

Mahmoud T.Ghonim Magdy H.Mowafy Mohamed N.Salem AshrafJatwaryFaculty of Engineering, Zagazig University, Zagazig 44519, Egypt

Abstract

Investigating the breach outflow hydrograph is an essential task to conduct mitigation plans and flood warnings. In the present study, the spatial dam breach is simulated by using a three-dimensional computational fluid dynamics model, FLOW-3D. The model parameters were adjusted by making a comparison with a previous experimental model. The different parameters (initial breach shape, dimensions, location, and dam slopes) are studied to investigate their effects on dam breaching. The results indicate that these parameters have a significant impact. The maximum erosion rate and peak outflow for the rectangular shape are higher than those for the V-notch by 8.85% and 5%, respectively. Increasing breach width or decreasing depth by 5% leads to increasing maximum erosion rate by 11% and 15%, respectively. Increasing the downstream slope angle by 4° leads to an increase in both peak outflow and maximum erosion rate by 2.0% and 6.0%, respectively.

유출 유출 수문곡선을 조사하는 것은 완화 계획 및 홍수 경보를 수행하는 데 필수적인 작업입니다. 본 연구에서는 3차원 전산유체역학 모델인 FLOW-3D를 사용하여 공간 댐 붕괴를 시뮬레이션합니다. 이전 실험 모델과 비교하여 모델 매개변수를 조정했습니다.

다양한 매개변수(초기 붕괴 형태, 치수, 위치 및 댐 경사)가 댐 붕괴에 미치는 영향을 조사하기 위해 연구됩니다. 결과는 이러한 매개변수가 상당한 영향을 미친다는 것을 나타냅니다. 직사각형 형태의 최대 침식율과 최대 유출량은 V-notch보다 각각 8.85%, 5% 높게 나타났습니다.

위반 폭을 늘리거나 깊이를 5% 줄이면 최대 침식률이 각각 11% 및 15% 증가합니다. 하류 경사각을 4° 증가시키면 최대 유출량과 최대 침식률이 각각 2.0% 및 6.0% 증가합니다.

Keywords

Spatial dam breach; FLOW-3D; Overtopping erosion; Computational fluid dynamics (CFD)

1. Introduction

There are many purposes for dam construction, such as protection from flood disasters, water storage, and power generation. Embankment failures may have a catastrophic impact on lives and infrastructure in the downstream regions. One of the most common causes of embankment dam failure is overtopping. Once the overtopping of the dam begins, the breach formation will start in the dam body then end with the dam failure. This failure occurs within a very short time, which threatens to be very dangerous. Therefore, understanding and modeling the embankment breaching processes is essential for conducting mitigation plans, flood warnings, and forecasting flood damage.

The analysis of the dam breaching process is implemented by different techniques: comparative methods, empirical models with dimensional and dimensionless solutions, physical-based models, and parametric models. These models were described in detail [1]. Parametric modeling is commonly used to simulate breach growth as a time-dependent linear process and calculate outflow discharge from the breach using hydraulics principles [2]. Alhasan et al. [3] presented a simple one-dimensional mathematical model and a computer code to simulate the dam breaching process. These models were validated by small dams breaching during the floods in 2002 in the Czech Republic. Fread [4] developed an erosion model (BREACH) based on hydraulics principles, sediment transport, and soil mechanics to estimate breach size, time of formation, and outflow discharge. Říha et al. [5] investigated the dam break process for a cascade of small dams using a simple parametric model for piping and overtopping erosion, as well as a 2D shallow-water flow model for the flood in downstream areas. Goodarzi et al. [6] implemented mathematical and statistical methods to assess the effect of inflows and wind speeds on the dam’s overtopping failure.

Dam breaching studies can be divided into two main modes of erosion. The first mode is called “planar dam breach” where the flow overtops the whole dam width. While the second mode is called “spatial dam breach” where the flow overtops through the initial pilot channel (i.e., a channel created in the dam body). Therefore, the erosion will be in both vertical and horizontal directions [7].

The erosion process through the embankment dams occurs due to the shear stress applied by water flows. The dam breaching evolution can be divided into three stages [8], [9], but Y. Yang et al. [10] divided the breach development into five stages: Stage I, the seepage erosion; Stage II, the initial breach formation; Stage III, the head erosion; Stage IV, the breach expansion; and Stage V, the re-equilibrium of the river channel through the breach. Many experimental tests have been carried out on non-cohesive embankment dams with an initial breach to examine the effect of upstream inflow discharges on the longitudinal profile evolution and the time to inflection point [11].

Zhang et al. [12] studied the effect of changing downstream slope angle, sediment grain size, and dam crest length on erosion rates. They noticed that increasing dam crest length and decreasing downstream slope angle lead to decreasing sediment transport rate. While the increase in sediment grain size leads to an increased sediment transport rate at the initial stages. Höeg et al. [13] presented a series of field tests to investigate the stability of embankment dams made of various materials. Overtopping and piping were among the failure tests carried out for the dams composed of homogeneous rock-fill, clay, or gravel with a height of up to 6.0 m. Hakimzadeh et al. [14] constructed 40 homogeneous cohesive and non-cohesive embankment dams to study the effect of changing sediment diameter and dam height on the breaching process. They also used genetic programming (GP) to estimate the breach outflow. Refaiy et al. [15] studied different scenarios for the downstream drain geometry, such as length, height, and angle, to minimize the effect of piping phenomena and therefore increase dam safety.

Zhu et al. [16] examined the effect of headcut erosion on dam breach growth, especially in the case of cohesive dams. They found that the breach growth in non-cohesive embankments is slower than cohesive embankments due to the little effect of headcut. Schmocker and Hager [7] proposed a relationship for estimating peak outflow from the dam breach process.(1)QpQin-1=1.7exp-20hc23d5013H0

where: Q_p = peak outflow discharge.

Q_in = inflow discharge.

h_c = critical flow depth.

d₅₀ = mean sediment diameter.

H_o = initial dam height.

Yu et al. [17] carried out an experimental study for homogeneous non-cohesive embankment dams in a 180° bending rectangular flume to determine the effect of overtopping flows on breaching formation. They found that the main factors influencing breach formation are water level, river discharge, and embankment material diameter.

Wu et al. [18] carried out a series of experiments to investigate the effect of breaching geometry on both non-cohesive and cohesive embankment dams in a U-bend flume due to overtopping flows. In the case of non-cohesive embankments, the non-symmetrical lateral expansion was noticed during the breach formation. This expansion was described by a coefficient ranging from 2.7 to 3.3.

The numerical models of the dam breach can be categorized according to different parameters, such as flow dimensions (1D, 2D, or 3D), flow governing equations, and solution methods. The 1D models are mainly used to predict the outflow hydrograph from the dam breach. Saberi et al. [19] applied the 1D Saint-Venant equation, which is solved by the finite difference method to investigate the outflow hydrograph during dam overtopping failure. Because of the ability to study dam profile evolution and breach formation, 2D models are more applicable than 1D models. Guan et al. [20] and Wu et al. [21] employed both 2D shallow water equations (SWEs) and sediment erosion equations, which are solved by the finite volume method to study the effect of the dam’s geometry parameters on outflow hydrograph and dam profile evolution. Wang et al. [22] also proposed a second-order hybrid-type of total variation diminishing (TVD) finite-difference to estimate the breach outflow by solving the 2D (SWEs). The accuracy of (SWEs) for both vertical flow contraction and surface roughness has been assessed [23]. They noted that the accuracy of (SWEs) is acceptable for milder slopes, but in the case of steeper slopes, modelers should be more careful. Generally, the accuracy of 2D models is still low, especially with velocity distribution over the flow depth, lateral momentum exchange, density-driven flows, and bottom friction [24]. Therefore, 3D models are preferred. Larocque et al. [25] and Yang et al. [26] started to use three-dimensional (3D) models that depend on the Reynolds-averaged Navier-Stokes (RANS) equations.

Previous experimental studies concluded that there is no clear relationship between the peak outflow from the dam breach and the initial breach characteristics. Some of these studies depend on the sharp-crested weir fixed at the end of the flume to determine the peak outflow from the breach, which leads to a decrease in the accuracy of outflow calculations at the microscale. The main goals of this study are to carry out a numerical simulation for a spatial dam breach due to overtopping flows by using (FLOW-3D) software to find an empirical equation for the peak outflow discharge from the breach and determine the worst-case that leads to accelerating the dam breaching process.

2. Numerical simulation

The current study for spatial dam breach is simulated by using (FLOW-3D) software [27], which is a powerful computational fluid dynamics (CFD) program.

2.1. Geometric presentations

A stereolithographic (STL) file is prepared for each change in the initial breach geometry and dimensions. The CAD program is useful for creating solid objects and converting them to STL format, as shown in Fig. 1.

2.2. Governing equations

The governing equations for water flow are three-dimensional Reynolds Averaged Navier-Stokes equations (RANS).

The continuity equation:(2)∂ui∂xi=0

The momentum equation:(3)∂ui∂t+1VFuj∂ui∂xj=1ρ∂∂xj-pδij+ν∂ui∂xj+∂uj∂xi-ρu`iu`j¯

where u is time-averaged velocity,ν is kinematic viscosity, VF is fractional volume open to flow, p is averaged pressure and -u`iu`j¯ are components of Reynold’s stress. The Volume of Fluid (VOF) technique is used to simulate the free surface profile. Hirt et al. [28] presented the VOF algorithm, which employs the function (F) to express the occupancy of each grid cell with fluid. The value of (F) varies from zero to unity. Zero value refers to no fluid in the grid cell, while the unity value refers to the grid cell being fully occupied with fluid. The free surface is formed in the grid cells having (F) values between zero and unity.(4)∂F∂t+1VF∂∂xFAxu+∂∂yFAyv+∂∂zFAzw=0

where (u, v, w) are the velocity components in (x, y, z) coordinates, respectively, and (A_x, A_y, A_z) are the area fractions.

2.3. Boundary and initial conditions

To improve the accuracy of the results, the boundary conditions should be carefully determined. In this study, two mesh blocks are used to minimize the time consumed in the simulation. The boundary conditions for mesh block 1 are as follows: The inlet and sides boundaries are defined as a wall boundary condition (wall boundary condition is usually used for bound fluid by solid regions. In the case of viscous flows, no-slip means that the tangential velocity is equal to the wall velocity and the normal velocity is zero), the outlet is defined as a symmetry boundary condition (symmetry boundary condition is usually used to reduce computational effort during CFD simulation. This condition allows the flow to be transferred from one mesh block to another. No inputs are required for this boundary condition except that its location should be defined accurately), the bottom boundary is defined as a uniform flow rate boundary condition, and the top boundary is defined as a specific pressure boundary condition with assigned atmospheric pressure. The boundary conditions for mesh block 2 are as follows: The inlet is defined as a symmetry boundary condition, the outlet is defined as a free flow boundary condition, the bottom and sides boundaries are defined as a wall boundary condition, and the top boundary is defined as a specific pressure boundary condition with assigned atmospheric pressure as shown in Fig. 2. The initial conditions required to be set for the fluid (i.e., water) inside of the domain include configuration, temperature, velocities, and pressure distribution. The configuration of water depends on the dimensions and shape of the dam reservoir. While the other conditions have been assigned as follows: temperature is normal water temperature (25 °c) and pressure distribution is hydrostatic with no initial velocity.

2.4. Numerical method

FLOW-3D uses the finite volume method (FVM) to solve the governing equation (Reynolds-averaged Navier-Stokes) over the computational domain. A finite-volume method is an Eulerian approach for representing and evaluating partial differential equations in algebraic equations form [29]. At discrete points on the mesh geometry, values are determined. Finite volume expresses a small volume surrounding each node point on a mesh. In this method, the divergence theorem is used to convert volume integrals with a divergence term to surface integrals. After that, these terms are evaluated as fluxes at each finite volume’s surfaces.

2.5. Turbulent models

Turbulence is the chaotic, unstable motion of fluids that occurs when there are insufficient stabilizing viscous forces. In FLOW-3D, there are six turbulence models available: the Prandtl mixing length model, the one-equation turbulent energy model, the two-equation (k – ε) model, the Renormalization-Group (RNG) model, the two-equation (k – ω) models, and a large eddy simulation (LES) model. For simulating flow motion, the RNG model is adopted to simulate the motion behavior better than the k – ε and k – ω.

models [30]. The RNG model consists of two main equations for the turbulent kinetic energy KT and its dissipation.εT(5)∂kT∂t+1VFuAx∂kT∂x+vAy∂kT∂y+wAz∂kT∂z=PT+GT+DiffKT-εT(6)∂εT∂t+1VFuAx∂εT∂x+vAy∂εT∂y+wAz∂εT∂z=C1.εTKTPT+c3.GT+Diffε-c2εT2kT

where KT is the turbulent kinetic energy, PT is the turbulent kinetic energy production, GT is the buoyancy turbulence energy, εT is the turbulent energy dissipation rate, DiffKT and Diffε are terms of diffusion, c1, c2 and c3 are dimensionless parameters, in which c1 and c3 have a constant value of 1.42 and 0.2, respectively, c2 is computed from the turbulent kinetic energy (KT) and turbulent production (PT) terms.

2.6. Sediment scour model

The sediment scour model available in FLOW-3D can calculate all the sediment transport processes including Entrainment transport, Bedload transport, Suspended transport, and Deposition. The erosion process starts once the water flows remove the grains from the packed bed and carry them into suspension. It happens when the applied shear stress by water flows exceeds critical shear stress. This process is represented by entrainment transport in the numerical model. After entrained, the grains carried by water flow are represented by suspended load transport. After that, some suspended grains resort to settling because of the combined effect of gravity, buoyancy, and friction. This process is described through a deposition. Finally, the grains sliding motions are represented by bedload transport in the model. For the entrainment process, the shear stress applied by the fluid motion on the packed bed surface is calculated using the standard wall function as shown in Eq.7.(7)ks,i=Cs,i∗d50

where ks,i is the Nikuradse roughness and Cs,i is a user-defined coefficient. The critical bed shear stress is defined by a dimensionless parameter called the critical shields number as expressed in Eq.8.(8)θcr,i=τcr,i‖g‖diρi-ρf

where θcr,i is the critical shields number, τcr,i is the critical bed shear stress, g is the absolute value of gravity acceleration, di is the diameter of the sediment grain, ρi is the density of the sediment species (i) and ρf is the density of the fluid. The value of the critical shields number is determined according to the Soulsby-Whitehouse equation.(9)θcr,i=0.31+1.2d∗,i+0.0551-exp-0.02d∗,i

where d∗,i is the dimensionless diameter of the sediment, given by Eq.10.(10)d∗,i=diρfρi-ρf‖g‖μf213

where μf is the fluid dynamic viscosity. For the sloping bed interface, the value of the critical shields number is modified according to Eq.11.(11)θ`cr,i=θcr,icosψsinβ+cos2βtan2φi-sin2ψsin2βtanφi

where θ`cr,i is the modified critical shields number, φi is the angle of repose for the sediment, β is the angle of bed slope and ψ is the angle between the flow and the upslope direction. The effects of the rolling, hopping, and sliding motions of grains along the packed bed surface are taken by the bedload transport process. The volumetric bedload transport rate (qb,i) per width of the bed is expressed in Eq.12.(12)qb,i=Φi‖g‖ρi-ρfρfdi312

where Φi is the dimensionless bedload transport rate is calculated by using Meyer Peter and Müller equation.(13)Φi=βMPM,iθi-θ`cr,i1.5cb,i

where βMPM,i is the Meyer Peter and Müller user-defined coefficient and cb,i is the volume fraction of species i in the bed material. The suspended load transport is calculated as shown in Eq.14.(14)∂Cs,i∂t+∇∙Cs,ius,i=∇∙∇DCs,i

where Cs,i is the suspended sediment mass concentration, D is the diffusivity, and us,i is the grain velocity of species i. Entrainment and deposition are two opposing processes that take place at the same time. The lifting and settling velocities for both entrainment and deposition processes are calculated according to Eq.15 and Eq.16, respectively.(15)ulifting,i=αid∗,i0.3θi-θ`cr,igdiρiρf-1(16)usettling,i=υfdi10.362+1.049d∗,i3-10.36

where αi is the entrainment coefficient of species i and υf is the kinematic viscosity of the fluid.

2.7. Grid type

Using simple rectangular orthogonal elements in planes and hexahedral in volumes in the (FLOW-3D) program makes the mesh generation process easier, decreases the required memory, and improves numerical accuracy. Two mesh blocks were used in a joined form with a size ratio of 2:1. The first mesh block is coarser, which contains the reservoir water, and the second mesh block is finer, which contains the dam. For achieving accuracy and efficiency in results, the mesh size is determined by using a grid convergence test. The optimum uniform cell size for the first mesh block is 0.012 m and for the second mesh block is 0.006 m.

2.8. Time step

The maximum time step size is determined by using a Courant number, which controls the distance that the flow will travel during the simulation time step. In this study, the Courant number was taken equal to 0.25 to prevent the flow from traveling through more than one cell in the time step. Based on the Courant number, a maximum time step value of 0.00075 s was determined.

2.9. Numerical model validation

The numerical model accuracy was achieved by comparing the numerical model results with previous experimental results. The experimental study of Schmocker and Hager [7] was based on 31 tests with changes in six parameters (d₅₀, H_o, B_o, L_k, X_D, and Q_in). All experimental tests were conducted in a straight open glass-sided flume. The horizontal flume has a rectangular cross-section with a width of 0.4 m and a height of 0.7 m. The flume was provided with a flow straightener and an intake with a length of 0.66 m. All tested dams were inserted at various distances (X_D) from the intake. Test No.1 from this experimental program was chosen to validate the numerical model. The different parameters used in test No.1 are as follows:

(1) uniform sediment with a mean diameter (d₅₀ = 0.31 mm), (2) H_o = 0.2 m, (3) B_o = 0.2 m, (4) L_k = 0.1 m,

(5) X_D = 1.0 m, (6) Q_in = 6.0 lit/s, (7) S_u and S_d = 2:1, (8) mass density (ρ_s = 2650 kg/m³) (9) Homogenous and non-cohesive embankment dam. As shown in Fig. 2, the simulation is contained within a rectangular grid with dimensions: 3.56 m in the x-direction (where 0.66 m is used as inlet, 0.9 m as dam base width, and 1.0 m as outlet), in y-direction 0.2 m (dam length), and in the z-direction 0.3 m, which represents the dam height (0.2 m) with a free distance (0.1 m) above the dam. There are two main reasons that this experimental program is preferred for the validation process. The first reason is that this program deals with homogenous, non-cohesive soil, which is available in FLOW-3D. The second reason is that this program deals with small-scale models which saves time for numerical simulation. Finally, some important assumptions were considered during the validation process. The flow is assumed to be incompressible, viscous, turbulent, and three-dimensional.

By comparing dam profiles at different time instants for the experimental test with the current numerical model, it appears that the numerical model gives good agreement as shown in Fig. 3 and Fig. 4, with an average error percentage of 9% between the experimental results and the numerical model.

3. Analysis and discussions

The current model is used to study the effects of different parameters such as (initial breach shapes, dimensions, locations, upstream and downstream dam slopes) on the peak outflow discharge, Q_P, time of peak outflow, t_P, and rate of erosion, E.

This study consists of a group of scenarios. The first scenario is changing the shapes of the initial breach according to Singh [1], the most predicted shapes are rectangular and V-notch as shown in Fig. 5. The second scenario is changing the initial breach dimensions (i.e., width and depth). While the third scenario is changing the location of the initial breach. Eventually, the last scenario is changing the upstream and downstream dam slopes.

All scenarios of this study were carried out under the same conditions such as inflow discharge value (Qin=1.0lit/s), dimensions of the tested dam, where dam height (Ho=0.20m), crest width.

(Lk=0.1m), dam length (Bo=0.20m), and homogenous & non-cohesive soil with a mean diameter (d50=0.31mm).

3.1. Dam breaching process evolution

The dam breaching process is a very complex process due to the quick changes in hydrodynamic conditions during dam failure. The dam breaching process starts once water flows reach the downstream face of the dam. During the initial stage of dam breaching, the erosion process is relatively quiet due to low velocities of flow. As water flows continuously, erosion rates increase, especially in two main zones: the crest and the downstream face. As soon as the dam crest is totally eroded, the water levels in the dam reservoir decrease rapidly, accompanied by excessive erosion in the dam body. The erosion process continues until the water levels in the dam reservoir equal the remaining height of the dam.

According to Zhou et al. [11], the breaching process consists of three main stages. The first stage starts with beginning overtopping flow, then ends when the erosion point directed upstream and reached the inflection point at the inflection time (ti). The second stage starts from the end of the stage1 until the occurrence of peak outflow discharge at the peak outflow time (tP). The third stage starts from the end of the stage2 until the value of outflow discharge becomes the same as the value of inflow discharge at the final time (tf). The outflow discharge from the dam breach increases rapidly during stage1 and stage2 because of the large dam storage capacity (i.e., the dam reservoir is totally full of water) and excessive erosion. While at stage3, the outflow values start to decrease slowly because most of the dam’s storage capacity was run out. The end of stage3 indicates that the dam storage capacity was totally run out, so the outflow equalized with the inflow discharge as shown in Fig. 6 and Fig. 7.

3.2. The effect of initial breach shape

To identify the effect of the initial breach shape on the evolution of the dam breaching process. Three tests were carried out with different cross-section areas for each shape. The initial breach is created at the center of the dam crest. Each test had an ID to make the process of arranging data easier. The rectangular shape had an ID (Rec5h & 5b), which means that its depth and width are equal to 5% of the dam height, and the V-notch shape had an ID (V-noch5h & 1:1) which means that its depth is equal to 5% of the dam height and its side slope is equal to 1:1. The comparison between rectangular and V-notch shapes is done by calculating the ratio between maximum dam height at different times (Z_Max) to the initial dam height (H_o), rate of erosion, and hydrograph of outflow discharge for each test. The rectangular shape achieves maximum erosion rate and minimum inflection time, in addition to a rapid decrease in the dam reservoir levels. Therefore, the dam breaching is faster in the case of a rectangular shape than in a V-notch shape, which has the same cross-section area as shown in Fig. 8.

Also, by comparing the hydrograph for each test, the peak outflow discharge value in the case of a rectangular shape is higher than the V-notch shape by 5% and the time of peak outflow for the rectangular shape is shorter than the V-notch shape by 9% as shown in Fig. 9.

3.3. The effect of initial breach dimensions

The results of the comparison between the different initial breach shapes indicate that the worst initial breach shape is rectangular, so the second scenario from this study concentrated on studying the effect of a change in the initial rectangular breach dimensions. Groups of tests were carried out with different depths and widths for the rectangular initial breach. The first group had a depth of 5% from the dam height and with three different widths of 5,10, and 15% from the dam height, the second group had a depth of 10% with three different widths of 5,10, and 15%, the third group had a depth of 15% with three different widths of 5,10, and 15% and the final group had a width of 15% with three different heights of 5, 10, and 15% for a rectangular breach shape. The comparison was made as in the previous section to determine the worst case that leads to the quick dam failure as shown in Fig. 10.

The results show that the (Rec 5 h&15b) test achieves a maximum erosion rate for a shorter period of time and a minimum ratio for (Z_max / H_o) as shown in Fig. 10, which leads to accelerating the dam failure process. The dam breaching process is faster with the minimum initial breach depth and maximum initial breach width. In the case of a minimum initial breach depth, the retained head of water in the dam reservoir is high and the crest width at the bottom of the initial breach (L`K) is small, so the erosion point reaches the inflection point rapidly. While in the case of the maximum initial breach width, the erosion perimeter is large.

3.4. The effect of initial breach location

The results of the comparison between the different initial rectangular breach dimensions indicate that the worst initial breach dimension is (Rec 5 h&15b), so the third scenario from this study concentrated on studying the effect of a change in the initial breach location. Three locations were checked to determine the worst case for the dam failure process. The first location is at the center of the dam crest, which was named “Center”, the second location is at mid-distance between the dam center and dam edge, which was named “Mid”, and the third location is at the dam edge, which was named “Edge” as shown in Fig. 11. According to this scenario, the results indicate that the time of peak outflow discharge (tP) is the same in the three cases, but the maximum value of the peak outflow discharge occurs at the center location. The difference in the peak outflow values between the three cases is relatively small as shown in Fig. 12.

The rates of erosion were also studied for the three cases. The results show that the maximum erosion rate occurs at the center location as shown in Fig. 13. By making a comparison between the three cases for the dam storage volume. The results show that the center location had the minimum values for the dam storage volume, which means that a large amount of water has passed to the downstream area as shown in Fig. 14. According to these results, the center location leads to increased erosion rate and accelerated dam failure process compared with the two other cases. Because the erosion occurs on both sides, but in the case of edge location, the erosion occurs on one side.

3.5. The effect of upstream and downstream dam slopes

The results of the comparison between the different initial rectangular breach locations indicate that the worst initial breach location is the center location, so the fourth scenario from this study concentrated on studying the effect of a change in the upstream (S_u) and downstream (S_d) dam slopes. Three slopes were checked individually for both upstream and downstream slopes to determine the worst case for the dam failure process. The first slope value is (2H:1V), the second slope value is (2.5H:1V), and the third slope value is (3H:1V). According to this scenario, the results show that the decreasing downstream slope angle leads to increasing time of peak outflow discharge (tP) and decreasing value of peak outflow discharge. The difference in the peak outflow values between the three cases for the downstream slope is 2%, as shown in Fig. 15, but changing the upstream slope has a negligible impact on the peak outflow discharge and its time as shown in Fig. 16.

The rates of erosion were also studied in the three cases for both upstream and downstream slopes. The results show that the maximum erosion rate increases by 6.0% with an increasing downstream slope angle by 4°, as shown in Fig. 17. The results also indicate that the erosion rates aren’t affected by increasing or decreasing the upstream slope angle, as shown in Fig. 18. According to these results, increasing the downstream slope angle leads to increased erosion rate and accelerated dam failure process compared with the upstream slope angle. Because of increasing shear stress applied by water flows in case of increasing downstream slope.

According to all previous scenarios, the dimensionless peak outflow discharge QPQin is presented for a fixed dam height (H_o) and inflow discharge (Q_in). Fig. 19 illustrates the relationship between QP∗=QPQin and.

Lr=ho2/3∗bo2/3Ho. The deduced relationship achieves R2=0.96.(17)QP∗=2.2807exp-2.804∗Lr

4. Conclusions

A spatial dam breaching process was simulated by using FLOW-3D Software. The validation process was performed by making a comparison between the simulated results of dam profiles and the dam profiles obtained by Schmocker and Hager [7] in their experimental study. And also, the peak outflow value recorded an error percentage of 12% between the numerical model and the experimental study. This model was used to study the effect of initial breach shape, dimensions, location, and dam slopes on peak outflow discharge, time of peak outflow, and the erosion process. By using the parameters obtained from the validation process, the results of this study can be summarized in eight points as follows.1.

The rectangular initial breach shape leads to an accelerating dam failure process compared with the V-notch.2.

The value of peak outflow discharge in the case of a rectangular initial breach is higher than the V-notch shape by 5%.3.

The time of peak outflow discharge for a rectangular initial breach is shorter than the V-notch shape by 9%.4.

The minimum depth and maximum width for the initial breach achieve maximum erosion rates (increasing breach width, b0, or decreasing breach depth, h0, by 5% from the dam height leads to an increase in the maximum rate of erosion by 11% and 15%, respectively), so the dam failure is rapid.5.

The center location of the initial breach leads to an accelerating dam failure compared with the edge location.6.

The initial breach location has a negligible effect on the peak outflow discharge value and its time.7.

Increasing the downstream slope angle by 4° leads to an increase in both peak outflow discharge and maximum rate of erosion by 2.0% and 6.0%, respectively.8.

The upstream slope has a negligible effect on the dam breaching process.

References

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A 3-D numerical simulation of the characteristics of open channel flows with submerged rigid vegetation

수중 강성 식생이 있는 개방 수로 흐름의 특성에 대한 3차원 수치 시뮬레이션

Journal of Hydrodynamics (2021)Cite this article

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Abstract

이 논문은 FLOW-3D를 적용하여 다양한 흐름 배출 및 식생 시나리오가 유속(종방향, 횡방향 및 수직 속도 포함)에 미치는 영향을 조사합니다.

실험적 측정을 통한 검증 후 식생직경, 식생높이, 유출량에 대한 민감도 분석을 수행하였습니다. 종방향 속도의 경우 흐름 구조에 대한 가장 큰 영향은 배출보다는 식생 직경에서 비롯됩니다.

그러나 식생 높이는 수직 분포의 변곡점을 결정합니다. 식생 지역, 즉 상류와 하류의 두 위치에서 횡단 속도를 비교하면 수심을 따라 대칭 패턴이 식별됩니다. 식생 지역의 횡단 및 수직 유체 순환 패턴을 포함하여 흐름 또는 식생 시나리오에 관계없이 수직 속도에서도 동일한 패턴이 관찰됩니다.

또한 식생 직경이 클수록 이러한 패턴이 더 분명해집니다. 상부 순환은 식생 캐노피 근처에서 발생합니다. 식생 지역의 가로 세로 방향 순환에 관한 이러한 발견은 수중 식생을 통한 3차원 흐름 구조를 밝혀줍니다.

Key words

Submerged rigid vegetation
longitudinal velocity
transverse velocity
vertical velocity

References

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Fig. 5 Comparison of experimental SEM image and CtFD simulated melt pool with beam diameters of（a）700 μm,（b）1000 μm, and（c）1300 μm and an absorption rate of 0.3. Electron beam power and scan speed are 900 W and 100 mm s-1, respectively

추가 생산용 전자빔 조사에 의한 316L 스테인리스 용융 · 응고 거동

Melting and Solidification Behavior of 316L Steel Induced by Electron-Beam Irradiation for Additive Manufacturing

付加製造用電子ビーム照射による 316L ステンレス鋼の溶融・凝固挙動

奥川将行＊・宮田雄一朗＊・王　　雷＊・能勢和史＊
小泉雄一郎＊・中野貴由＊
Masayuki OKUGAWA, Yuichiro MIYATA, Lei WANG, Kazufumi NOSE,
Yuichiro KOIZUMI and Takayoshi NAKANO

Abstract

적층 제조(AM) 기술은 복잡한 형상의 3D 부품을 쉽게 만들고 미세 구조 제어를 통해 재료 특성을 크게 제어할 수 있기 때문에 많은 관심을 받았습니다. PBF(Powderbed fusion) 방식의 AM 공정에서는 금속 분말을 레이저나 전자빔으로 녹이고 응고시키는 과정을 반복하여 3D 부품을 제작합니다.

일반적으로 응고 미세구조는 Hunt[Mater. 과학. 영어 65, 75(1984)]. 그러나 CET 이론이 일반 316L 스테인리스강에서도 높은 G와 R로 인해 PBF형 AM 공정에 적용될 수 있을지는 불확실하다.

본 연구에서는 미세구조와 응고 조건 간의 관계를 밝히기 위해 전자빔 조사에 의해 유도된 316L 강의 응고 미세구조를 분석하고 CtFD(Computational Thermal-Fluid Dynamics) 방법을 사용하여 고체/액체 계면에서의 응고 조건을 평가했습니다.

CET 이론과 반대로 높은 G 조건에서 등축 결정립이 종종 형성되는 것으로 밝혀졌다. CtFD 시뮬레이션은 약 400 mm s-1의 속도까지 유체 흐름이 있음을 보여 주며 수상 돌기의 파편 및 이동의 영향으로 등축 결정립이 형성됨을 시사했습니다.

Additive manufacturing（AM）technologies have attracted much attention because it enables us to build 3D parts with complicated geometry easily and control material properties significantly via the control of microstructures. In the powderbed fusion（PBF）type AM process, 3D parts are fabricated by repeating a process of melting and solidifying metal powders by laser or electron beams. In general, the solidification microstructures can be predicted from solidification conditions defined by the combination of temperature gradient G and solidification rate R on the basis of columnar-equiaxed transition（CET）theory proposed by Hunt [Mater. Sci. Eng. 65, 75（1984）]. However, it is unclear whether the CET theory can be applied to the PBF type AM process because of the high G and R, even for general 316L stainless steel. In this study, to reveal relationships between microstructures and solidification conditions, we have analyzed solidification microstructures of 316L steel induced by electronbeam irradiation and evaluated solidification conditions at the solid/liquid interface using a computational thermal-fluid dynamics （CtFD）method. It was found that equiaxed grains were often formed under high G conditions contrary to the CET theory. CtFD simulation revealed that there is a fluid flow up to a velocity of about 400 mm s-1, and suggested that equiaxed grains are formed owing to the effect of fragmentations and migrations of dendrites.

Keywords

Additive Manufacturing, 316L Stainless Steel, Powder Bed Fusion, Electron Beam Melting, Computational Thermal
Fluid Dynamics Simulation

Fig. 1 Width, height, and height differences calculated from laser microscope analysis of melt tracks formed by scanning electron beam. Fig. 2（a）Scanning electron microscope（SEM）image and（b） corresponding electron back-scattering diffraction（EBSD） IPF-map taken from the electron-beam irradiated region in P900-V100 sample. Fig. 3 Average grain size and their aspect ratio calculated from EBSD IPF-map taken from the electron-beam irradiated region.

Fig. 4 Comparison of experimental SEM image and computational thermal fluid dynamics（CtFD）simulated melt pool with a beam diameter of 700 μm and absorption rates of（a）0.3,（b）0.5, and （c）0.7. Electron beam power and scan speed are 900 W and 100 mm s-1, respectively.

Fig. 6 Depth of melt tracks calculated from experimental SEM image and CtFD simulation results.

Fig. 7 G-R plots of 316L steel colored by（a）aspect ratio of crystalline grains and（b）fluid velocity.

Fig. 8 Comparison of solidification microstructure（EBSD IPF-map）of melt region formed by scanning electron beam and corresponding snap shot of CtFD simulation colored by fluid velocity

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Numerical study of the dam-break waves and Favre waves down sloped wet rigid-bed at laboratory scale

WenjunLiu^aBoWang^bYakunGuo^c

^aState Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource and Hydropower, Sichuan University, Chengdu, 610065, China

^bState Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, College Of Water Resource and Hydropower, Chengdu, 610065, China

^cfaculty of Engineering & Informatics, University of Bradford, BD7 1DP, UK

Abstract

댐붕괴 홍수와 파브르 파도의 전파에 영향을 미치는 요인 중 하상경사와 후미수심은 두 가지 중요한 요소이다. 대부분의 선행 연구들은 경사 수로에서의 내부 이동 특성보다는 수평층 조건에서 댐파괴류나 Favre파동의 거시적 특성에만 초점을 맞추었다.

본 연구에서는 CFD 소프트웨어 패키지 FLOW-3D에 내장된 LES(Large Eddy Simulation) 및 SWE(Shallow Water Equation) 모델의 두 가지 수치 모델을 적용하여 댐-파괴 흐름 및 Favre 파도의 내부 이동 특성을 분석합니다.

수위, 속도 분포, 유체 입자 가속도 및 층 전단 응력, 다양한 층 경사 및 수심 비율로. 본 연구에서 고려한 조건하의 결과는 수심비 α = 0.1(α는 저수지 수심에 대한 tailwater 깊이의 비율)에서도 급경사면에 대한 유동상태 전이가 있음을 보여준다. 유동 상태 전이는 파면이 파단 상태에서 비정형으로 변하는 것을 보여줍니다.

수평 경사와 완만한 바닥 경사에서는 이러한 흐름 전이가 관찰되지 않습니다. Favre 파의 존재는 수직 속도와 수직 가속도의 상당한 증가로 이어집니다. 이 상황에서 SWE 모델은 예측이 좋지 않습니다.

분석에 따르면 최대 바닥 전단 응력의 변화는 바닥 경사와 꼬리 수심 모두에 영향을 받습니다. 동일한 바닥 경사(예: S0 = 0.02)에서 최대 바닥 전단 응력 위치는 α = 0.1일 때 댐의 하류에서 발생하고 α = 0.7일 때 저수지의 끝쪽으로 발생합니다.

동일한 수심비(예: α = 0.7)에 대해 최대 바닥 전단 응력 위치는 항상 S0 = 0.02에서 저수지 내에 위치하는 반면, S0 = 0 및 0.003에 대해 흐름이 진화한 후 댐 하류에 나타납니다. 수치적 시뮬레이션과 실험적 측정을 비교한 결과 LES 모델이 내부 움직임 특성을 만족스러운 정확도로 예측할 수 있음을 알 수 있습니다.

본 연구는 댐 파절류 및 Favre파의 내부 이동 특성에 대한 하상 경사 및 후미 수심의 영향에 대한 이해를 향상 시키며, 이는 또한 제방 높이를 결정하고 수로 저반위 설계를 위한 귀중한 참고자료를 제공한다.

Keywords

Figure Numerical study of the dam-break waves and Favre waves down sloped wet rigid-bed at laboratory scale

전체 원문 보기

Dam-break flow, Bed slope, Wet bed, Velocity profile, Bed shear stress, Large eddy simulation
댐파괴유동, 하상경사, 습상, 유속분포, 하상전단응력, 대와류 시뮬레이션

Dam-Break Flows: Comparison between Flow-3D, MIKE 3 FM, and Analytical Solutions with Experimental Data

by Hui Hu,Jianfeng Zhang andTao Li^*
State Key Laboratory Base of Eco-Hydraulic Engineering in Arid Area, School of Water Resources and Hydropower, Xi’an University of Technology, Xi’an 710048, China
^*Author to whom correspondence should be addressed.
Appl. Sci.2018, 8(12), 2456; https://doi.org/10.3390/app8122456Received: 14 October 2018 /
Revised: 20 November 2018 / Accepted: 29 November 2018 / Published: 2 December 2018

Abstract

The objective of this study was to evaluate the applicability of a flow model with different numbers of spatial dimensions in a hydraulic features solution, with parameters such a free surface profile, water depth variations, and averaged velocity evolution in a dam-break under dry and wet bed conditions with different tailwater depths. Two similar three-dimensional (3D) hydrodynamic models (Flow-3D and MIKE 3 FM) were studied in a dam-break simulation by performing a comparison with published experimental data and the one-dimensional (1D) analytical solution. The results indicate that the Flow-3D model better captures the free surface profile of wavefronts for dry and wet beds than other methods. The MIKE 3 FM model also replicated the free surface profiles well, but it underestimated them during the initial stage under wet-bed conditions. However, it provided a better approach to the measurements over time. Measured and simulated water depth variations and velocity variations demonstrate that both of the 3D models predict the dam-break flow with a reasonable estimation and a root mean square error (RMSE) lower than 0.04, while the MIKE 3 FM had a small memory footprint and the computational time of this model was 24 times faster than that of the Flow-3D. Therefore, the MIKE 3 FM model is recommended for computations involving real-life dam-break problems in large domains, leaving the Flow-3D model for fine calculations in which knowledge of the 3D flow structure is required. The 1D analytical solution was only effective for the dam-break wave propagations along the initially dry bed, and its applicability was fairly limited.

Keywords: dam break; Flow-3D; MIKE 3 FM; 1D Ritter’s analytical solution

이 연구의 목적은 자유 표면 프로파일, 수심 변화 및 건식 및 댐 파괴에서 평균 속도 변화와 같은 매개 변수를 사용하여 유압 기능 솔루션에서 서로 다른 수의 공간 치수를 가진 유동 모델의 적용 가능성을 평가하는 것이었습니다.

테일 워터 깊이가 다른 습식베드 조건. 2 개의 유사한 3 차원 (3D) 유체 역학 모델 (Flow-3D 및 MIKE 3 FM)이 게시된 실험 데이터와 1 차원 (1D) 분석 솔루션과의 비교를 수행하여 댐 브레이크 시뮬레이션에서 연구되었습니다.

결과는 FLOW-3D 모델이 다른 방법보다 건식 및 습식 베드에 대한 파면의 자유 표면 프로파일을 더 잘 포착함을 나타냅니다. MIKE 3 FM 모델도 자유 표면 프로파일을 잘 복제했지만, 습식 조건에서 초기 단계에서 과소 평가했습니다. 그러나 시간이 지남에 따라 측정에 더 나은 접근 방식을 제공했습니다.

측정 및 시뮬레이션 된 수심 변화와 속도 변화는 두 3D 모델 모두 합리적인 추정치와 0.04보다 낮은 RMSE (root mean square error)로 댐 브레이크 흐름을 예측하는 반면 MIKE 3 FM은 메모리 공간이 적고 이 모델의 계산 시간은 Flow-3D보다 24 배 더 빠릅니다.

따라서 MIKE 3 FM 모델은 대규모 도메인의 실제 댐 브레이크 문제와 관련된 계산에 권장되며 3D 흐름 구조에 대한 지식이 필요한 미세 계산을 위해 Flow-3D 모델을 남겨 둡니다. 1D 분석 솔루션은 초기 건조 층을 따라 전파되는 댐 파괴에만 효과적이었으며 그 적용 가능성은 상당히 제한적이었습니다.

1. Introduction

저수지에 저장된 물의 통제되지 않은 방류[1]로 인해 댐 붕괴와 그로 인해 하류에서 발생할 수 있는 잠재적 홍수로 인해 큰 자연 위험이 발생한다. 이러한 영향을 최대한 완화하기 위해서는 홍수[2]로 인한 위험을 관리하고 감소시키기 위해 홍수의 시간적 및 공간적 진화를 모두 포착하여 댐 붕괴 파동의 움직임을 예측하고 댐 붕괴 파동의 전파 과정 효과를 다운스트림[3]으로 예측하는 것이 중요하다.

그러나 이러한 수량을 예측하는 것은 어려운 일이며, 댐 붕괴 홍수의 움직임을 정확하게 시뮬레이션하고 유동장에 대한 유용한 정보를 제공하기 위한 적절한 모델을 선택하는 것은 그러므로 필수적인 단계[4]이다.

적절한 수학적 및 수치적 모델의 선택은 댐 붕괴 홍수 분석에서 매우 중요한 것으로 나타났다.분석적 해결책에서 행해진 댐 붕괴 흐름에 대한 연구는 100여 년 전에 시작되었다.

리터[5]는 먼저 건조한 침대 위에 1D de 생베넌트 방정식의 초기 분석 솔루션을 도출했고, 드레슬러[6,7]와 휘담[8]은 마찰저항의 영향을 받은 파동학을 연구했으며, 스토커[9]는 젖은 침대를 위한 1D 댐 붕괴 문제에 리터의 솔루션을 확장했다.

마샬과 멩데즈[10]는 고두노프가 가스 역학의 오일러 방정식을 위해 개발한 방법론[11]을 적용하여 젖은 침대 조건에서 리만 문제를 해결하기 위한 일반적인 절차를 고안했다. Toro [12]는 습식 및 건식 침대 조건을 모두 해결하기 위해 완전한 1D 정밀 리만 용해제를 실시했다.

Chanson [13]은 특성 방법을 사용하여 갑작스러운 댐 붕괴로 인한 홍수에 대한 간단한 분석 솔루션을 연구했다. 그러나 이러한 분석 솔루션은 특히 댐 붕괴 초기 단계에서 젖은 침대의 정확한 결과를 도출하지 못했다[14,15].과거 연구의 발전은 이른바 댐 붕괴 홍수 문제 해결을 위한 여러 수치 모델[16]을 제공했으며, 헥-라스, DAMBRK, MIK 11 등과 같은 1차원 모델을 댐 붕괴 홍수를 모델링하는 데 사용하였다.

[17 2차원(2D) 깊이 평균 방정식도 댐 붕괴 흐름 문제를 시뮬레이션하는 데 널리 사용되어 왔으며[18,19,20,21,22] 그 결과 천수(shallow water) 방정식(SWE)이 유체 흐름을 나타내는 데 적합하다는 것을 알 수 있다. 그러나, 경우에 따라 2D 수치해결기가 제공하는 해결책이 특히 근거리 분야에서 실험과 일관되지 않을 수 있다[23,24]. 더욱이, 1차원 및 2차원 모델은 3차원 현상에 대한 일부 세부사항을 포착하는 데 한계가 있다.

[25]. RANS(Reynolds-averageed Navier-Stok크스 방정식)에 기초한 여러 3차원(3D) 모델이 천수(shallow water) 모델의 일부 단점을 극복하기 위해 적용되었으며, 댐 붕괴 초기 단계에서의 복잡한 흐름의 실제 동작을 이해하기 위해 사용되었다 [26,27,28]장애물이나 바닥 실에 대한 파장의 충격으로 인한 튜디 댐 붕괴 흐름 [19,29] 및 근거리 영역의 난류 댐 붕괴 흐름 거동 [4] 최근 상용화된 수치 모델 중 잘 알려진 유체 방식(VOF) 기반 CFD 모델링 소프트웨어 FLOW-3D는 컴퓨터 기술의 진보에 따른 계산력 증가로 인해 불안정한 자유 표면 흐름을 분석하는 데 널리 사용되고 있다.

이 소프트웨어는 유한 차이 근사치를 사용하여 RANS 방정식에 대한 수치 해결책을 계산하며, 자유 표면을 추적하기 위해 VOF를 사용한다 [30,31]; 댐 붕괴 흐름을 모델링하는 데 성공적으로 사용되었다 [32,33].그러나, 2D 천수(shallow water) 모델을 사용하여 포착할 수 없는 공간과 시간에 걸친 댐 붕괴 흐름의 특정한 유압적 특성이 있다.

실생활 현장 척도 시뮬레이션을 위한 완전한 3D Navier-Stokes 방정식의 적용은 더 높은 계산 비용[34]을 가지고 있으며, 원하는 결과는 천수(shallow water) 모델[35]보다 더 정확한 결과를 산출하지 못할 수 있다. 따라서, 본 논문은 3D 모델의 기능과 그 계산 효율을 평가하기 위해 댐 붕괴 흐름 시뮬레이션을 위한 단순화된 3D 모델-MIKE 3 FM을 시도한다.

MIK 3 모델은 자연 용수 분지의 여러 유체 역학 시뮬레이션 조사에 적용되었다. 보치 외 연구진이 사용해 왔다. [36], 니콜라오스 및 게오르기오스 [37], 고얄과 라토드[38] 등 현장 연구에서 유체역학 시뮬레이션을 위한 것이다. 이러한 저자들의 상당한 연구에도 불구하고, MIK 3 FM을 이용한 댐 붕괴의 모델링에 관한 연구는 거의 없었다.

또한 댐 붕괴 홍수 전파 문제를 해결하기 위한 3D 천수(shallow water)과 완전한 3D RANS 모델의 성능을 비교한 연구도 아직 보고되지 않았다. 이 공백을 메우기 위해 현재 연구의 주요 목표는 댐 붕괴 흐름을 시뮬레이션하기 위한 단순화된 3D SWE, 상세 RANS 모델 및 분석 솔루션을 평가하여 댐 붕괴 문제에 대한 정확도와 적용 가능성을 평가하는 것이다.실제 댐 붕괴 문제를 해결하기 위해 유체역학 시뮬레이션을 시도하기 전에 수치 모델을 검증할 필요가 있다.

일련의 실험 벤치마크를 사용하여 수치 모델을 확인하는 것은 용인된 관행이다. 현장 데이터 확보가 어려워 최근 몇 년 동안 제한된 측정 데이터를 취득했다.

본 논문은 Ozmen-Cagatay와 Kocaman[30] 및 Khankandi 외 연구진이 제안한 두 가지 테스트 사례에 의해 제안된 검증에서 인용한 것이다. [39] 오즈멘-카가테이와 코카만[30]이 수행한 첫 번째 실험에서, 다른 미숫물 수위에 걸쳐 초기 단계 동안 댐 붕괴 홍수파가 발생했으며, 자유 지표면 프로파일의 측정치를 제공했다. Ozmen-Cagatay와 Kocaman[30]은 초기 단계에서 Flow-3D 소프트웨어가 포함된 2D SWE와 3D RANS의 숫자 솔루션에 의해 계산된 자유 표면 프로필만 비교했다.

Khankandi 등이 고안한 두 번째 실험 동안. [39], 이 실험의 측정은 홍수 전파를 시뮬레이션하고 측정된 데이터를 제공하는 것을 목적으로 하는 수치 모델을 검증하기 위해 사용되었으며, 말기 동안의 자유 표면 프로필, 수위의 시간 진화 및 속도 변화를 포함한다. Khankandi 등의 연구. [39] 주로 실험 조사에 초점을 맞추었으며, 초기 단계에서는 리터의 솔루션과의 수위만을 언급하고 있다.

경계 조건(상류 및 하류 모두 무한 채널 길이를 갖는 1D 분석 솔루션에서는 실험 결과를 리터와 비교하는 것이 타당하지 않기 때문이다(건조 be)d) 또는 스토커(웨트 베드) 솔루션은 벽의 반사가 깊이 프로파일에 영향을 미쳤을 때, 그리고 참조 [39]의 실험에 대한 수치 시뮬레이션과의 추가 비교가 불량할 때. 이 논문은 이러한 문제를 직접 겨냥하여 전체 댐 붕괴 과정에서의 자유 표면 프로필, 수심 변화 및 속도 변화에 대한 완전한 비교 연구를 제시한다.

여기서 댐 붕괴파의 수치 시뮬레이션은 초기에 건조하고 습한 직사각형 채널을 가진 유한 저장소의 순간 댐 붕괴에 대해 두 개의 3D 모델을 사용하여 개발된다.본 논문은 다음과 같이 정리되어 있다. 두 모델에 대한 통치 방정식은 숫자 체계를 설명하기 전에 먼저 도입된다.

일반적인 단순화된 시험 사례는 3D 수치 모델과 1D 분석 솔루션을 사용하여 시뮬레이션했다. 모델 결과와 이들이 실험실 실험과 비교하는 방법이 논의되고, 서로 다른 수심비에서 시간에 따른 유압 요소의 변동에 대한 시뮬레이션 결과가 결론을 도출하기 전에 제시된다.

2. Materials and Methods

2.1. Data

첫째, 수평 건조 및 습식 침상에 대한 초기 댐 붕괴 단계 동안의 자유 표면 프로필 측정은 Ozmen-Cagatay와 Kocaman에 의해 수행되었다[30]. 이 시험 동안, 매끄럽고 직사각형의 수평 채널은 그림 1에서 표시한 대로 너비 0.30m, 높이 0.30m, 길이 8.9m이었다.

채널은 채널 입구에서 4.65m 떨어진 수직 플레이트(담) 즉, 저장소의 길이 L0=4.65mL0에 의해 분리되었다., 및 다운스트림 채널 L1=4.25 mL1. m저수지는 댐의 좌측에 위치하고 처음에는 침수된 것으로 간주되었다; 저수지의 초기 상류 수심 h는₀ 0.25m로 일정했다.

오른쪽의 초기 수심 h1h1 건식침대의 경우 0m, 습식침대의 경우 0.025m, 0.1m이므로 수심비 α=h1/h0α으로 세 가지 상황이 있었다. 0, 0.1, 0.4의 습식침대 조건은 플룸 끝에 낮은 보를 사용함으로써 만들어졌다. 물 표면 프로필은 3개의 고속 디지털 카메라(50프레임/s)를 사용하여 초기에 관찰되었으며, 계측 측정의 정확도는 참고문헌 [30]에서 입증되었다. In the following section, the corresponding numerical results refer to positions x = −1 m (P1), −0.5 m (P2), −0.2 m (P3), +0.2 m (P4), +0.5 m (P5), +1 m (P6), +2 m (P7), and +2.85 m (P8), where the origin of the coordinate system x = 0 is at the dam site. 3수심비 ααα 0, 0.1, 0.4의 경우 x,yx의 경우 좌표는 h0.으로 정규화된다.

<중략> ……

Figure 1. Schematic view of the experimental conditions by Ozmen-Cagatay and Kocaman [30]: (a) α = 0; (b) α = 0.1; and (c) α = 0.4.

Figure 2. Schematic view of the experimental conditions by Khankandi et al. [39]: (a) α = 0 and (b) α = 0.2.

Figure 3. Typical profiles of the dam-break flow regimes for Stoker’s analytical solution [9]: Wet-bed downstream

Figure 4. Sensitivity analysis of the numerical simulation using Flow-3D for the different mesh sizes of the experiments in Reference [30].

Figure 5. Sensitivity analysis of the numerical simulation using MIKE 3 FM for the different mesh sizes of the experiments in Reference [30].

Figure 6. Comparison between observed and simulated free surface profiles at dimensionless times T = t(g/h0)1/2 and for dry-bed (α=0). The experimental data are from Reference [30].

Figure 7. Comparison between observed and simulated free surface profiles at dimensionless times T = t(g/h0)1/2 and for a wet-bed (α = 0.1). The experimental data are from Reference [30].

Figure 8. Comparison between observed and simulated free surface profiles at dimensionless times T = t(g/h0)1/2 and for the wet-bed (α = 0.4). The experimental data are from Reference [30].

Figure 9. Experimental and numerical comparison of free surface profiles h/h0(x/h0) during late stages at various dimensionless times T after the failure in the dry-bed by Khankandi et al. [39].

Table 2. RMSE values for the free surface profiles observed by Khankandi et al. [39].

Figure 10. Measured and computed water level hydrograph at various positions for dry-bed by Khankandi et al. [39]: (a) G1 (−0.5 m); (b) G2 (−0.1 m); (c) G3 (0.1 m); (d) G4 (0.8 m); (e) G6 (1.2 m); (f) G8 (5.5 m).

Figure 11. Measured and computed water level hydrographs at various positions for the wet-bed by Khankandi et al. [39]: (a) G1 (−0.5 m); (b) G2 (−0.1 m); (c) G4 (0.8 m); and (d) G5 (1.0 m).

Table 3. RMSE values for the water depth variations observed by Khankandi et al. [39] at the late stage.

Figure 13. Comparison of simulated velocity profiles at various locations upstream and downstream of the dam at t = 0.8 s, 2 s, and 5 s for water depth ratios α = 0.1 by Ozmen-Cagatay and Kocaman [30]: (a) P1(−1 m); (b) P3 (+0.2 m); (c) P5 (+1 m); and (d) P6 (+2 m).

Table 5. The required computational time for the two models to address dam break flows in all cases

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Figure 6. Maximum inundation field in simulations with (a) no barrier on the seawall (red line), (b) a 1 m barrier across the entire sea wall, and (c) a 1.7 m barrier partially installed on the seawall.

Storm surge inundation simulations comparing three-dimensional with two-dimensional models based on Typhoon Maemi over Masan Bay of South Korea

Jae-Seol Shim†, Jinah Kim†, Dong-Chul Kim‡, Kiyoung Heo†, Kideok Do†, Sun-Jung Park ‡
† Coastal Disaster Research Center,
Korea Institute of Ocean Science &
Technology, 426-744, Ansan, Gyeonggi,
Korea
jsshim@kiost.ac
jakim@kiost.ac
kyheo21@kiost.ac
kddo@kiost.ac
‡ Technology R&D Institute
Hyein E&C Co., Ltd., Seoul 157-861,
Korea
skkkdc@chol.com
Nayana_sj@nate.com

ABSTRACT

Shim, J., Kim, J., Kim, D., Heo, K., Do, K., Park, S., 2013. Storm surge inundation simulations comparing threedimensional with two-dimensional models based on Typhoon Maemi over Masan Bay of South Korea. In:
Conley, D.C., Masselink, G., Russell, P.E. and O’Hare, T.J. (eds.), Proceedings 12th International Coastal Symposium
(Plymouth, England), Journal of Coastal Research, Special Issue No. 65, pp. 392-397, ISSN 0749-0208.
Severe storm surge inundation was caused by the typhoon Maemi in Masan Bay, South Korea in September 2003. To
investigate the differences in the storm surge inundation simulated by three-dimensional (3D) and two-dimensional
models, we used the ADvanced CIRCulation model (ADCIRC) and 3D computational fluid dynamics (CFD) model
(FLOW3D). The simulation results were compared to the flood plain map of Masan Bay following the typhoon Maemi.
To improve the accuracy of FLOW3D, we used a high-resolution digital surface model with a few tens of centimeterresolution, produced by aerial LIDAR survey. Comparison of the results between ADCRIC and FLOW3D simulations shows that the inclusion of detailed information on buildings and topography has an impact, delaying seawater propagation and resulting in a reduced inundation depth and flooding area. Furthermore, we simulated the effect of the installation of a storm surge barrier on the storm surge inundation. The barrier acted to decrease the water volume of the inundation and delayed the arrival time of the storm surge, implying that the storm surge barrier provides more time for residents’ evacuation.

Keywords: Typhoon Maemi, digital surface elevation model, Reynolds-Averaged NavierStokes equations.

2003 년 9 월 대한민국 마산만 태풍 매미에 의해 심한 폭풍 해일 침수가 발생했습니다. 3 차원 (3D) 및 2 차원 모델로 시뮬레이션 한 폭풍 해일 침수의 차이를 조사하기 위해 ADvanced CIRCulation 모델 ( ADCIRC) 및 3D 전산 유체 역학 (CFD) 모델 (FLOW3D).

시뮬레이션 결과는 태풍 매미 이후 마산만 범람원 지도와 비교되었다. FLOW-3D의 정확도를 높이기 위해 우리는 항공 LIDAR 측량으로 생성된 수십 센티미터 해상도의 고해상도 디지털 표면 모델을 사용했습니다.

ADCRIC과 FLOW3D 시뮬레이션의 결과를 비교하면 건물과 지형에 대한 자세한 정보를 포함하면 해수 전파가 지연되고 침수 깊이와 침수 면적이 감소하는 것으로 나타났습니다.

또한, 폭풍 해일 침수에 대한 폭풍 해일 장벽 설치의 효과를 시뮬레이션했습니다. 이 장벽은 침수 물량을 줄이고 폭풍 해일 도착 시간을 지연시키는 역할을 하여 폭풍 해일 장벽이 주민들의 대피에 더 많은 시간을 제공한다는 것을 의미합니다.

INTRODUCTION

2003 년 9 월 12 일 태풍 매미로 인한 강한 폭풍 해일이 남해안을 강타했습니다. 마산 만 일대는 심한 폭풍우 침수로 인해 최악의 피해를 입었고 광범위한 홍수를 겪었습니다. 따라서 마산 만에 예방 체계를 구축하기 위해 폭풍 해일에 의한 침수에 대한 수치 예측을 시도하는 선행 연구가 수행되었다 (Park et al. 2011).

그러나 일반적인 2 차원 (2D) 또는 3 차원 (3D) 수압 가정을 사용할 때 지형의 해상도는 복잡한 해안 구조를 표현하기에 충분하지 않습니다. 따라서 우리는 마산 만의 고해상도 지형도를 통해 전산 유체 역학 (CFD)의 침수 시뮬레이션을 제시한다.

태풍 매미는 2003 년 9 월 12 일 12시 (UTC)에 한반도에 상륙하여 남동부 해안을 따라 추적했습니다 (그림 1). 2003 년 9 월 13 일 6시 (UTC)에 동 일본해로 이동하여 온대 저기압이되었습니다.

풍속과 기압면에서 한국을 강타한 가장 강력한 태풍 중 하나입니다. 특히 마산 만에 접해있는 마산시는 폭풍 해일 홍수로 최악의 피해를 입어 32 명이 사망하고 심각한 해안 피해를 입었다. 태풍이 지나가는 동안 중앙 기압은 950hPa, 진행 속도는 45kmh-1로 마산항의 조 위계를 통해 최대 약 2.3m의 서지 높이를 기록했다.

마산 만에 접한 주거 및 상업 지역은 홍수가 심했고 지하 시설은 폭풍 해일로 침수로 어려움을 겪었습니다 (Yasuda et al. 2005). 이 논문에서는 3D CFD 모델 (FLOW 3D)과 2D ADvanced CIRCulation 모델 (ADCIRC)을 사용하여 기록 된 마산 만에서 가장 큰 폭풍 해일 중 하나에 의해 생성 된 해안 침수를 시뮬레이션했습니다.

건물의 높이와 공간 정보를 포함하는 디지털 표면 모델 (DSM)은 LiDAR (Airborne Light Detection and Ranging)에 의해 만들어졌으며, 폭풍 해일 침수 모델, 즉 3D CFD 모델 (FLOW 3D)의 입력 데이터로 사용되었습니다. ). 또한 ADCIRC의 시뮬레이션 결과는 FLOW3D의 경계 조건으로 사용됩니다.

본 연구의 목적은 극심한 침수 높이와 해안 육지로의 범람을 포함하여 마산 만에서 태풍 매미로 인한 폭풍 해일 침수를 재현하는 것이다.

<중략>………………

Figure 1. The best track and the central pressures of the typhoon Maemi from the Joint Typhoon Warning Center (JTWC). Open circles indicate the locations of the typhoon in 3 h intervals. Filled circles represent locations of the cited stations; A, B, C and D indicate Jeju, Yeosu, Tongyoung, and Masan, respectively.

Figure 2. Model domain with FEM mesh for Typhoon Maemi.

Figure 3. Validation of surge height for the four major tidal stations on the south coast of the Korea.

Figure 4. Inundation depth results from (a) ADCIRC, (b) FLOW3D, and (c) inundation field surveying hazard map following typhoon Maemi.

Figure 5. Inundation depth results computed by Flow3D at each time period following arrival of storm surge wave at harbor mouth.

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원문 바로가기

Fig. 4 Current lines in the horizontal level in: a 0.70 and b 14 cm from the streambed in tandem pies

3D numerical simulation of flow field around twin piles

트윈 말뚝 주위의 유동장 3D 수치 시뮬레이션

Amini, A; Parto, AA
Amini, A (reprint author), AREEO, Kurdistan Agr & Nat Resources Res & Educ Ctr, Sanandaj, Iran.
, 2017; 65 (6): 1243

Abstract

이 연구에서는, 파일 그룹 주위의 흐름 패턴과 국소적 스크루 메커니즘을 식별하기 위해, 플로우 필드를 FLOW-3D 소프트웨어를 사용해 시뮬레이션했다. 편평한 침대 채널에 나란히 배열되어 있는 한 쌍의 말뚝이 조사되었다. Navier-Stokes 방정식을 확립하기 위해 RNGk-epsilon 난류 모델을 사용하였고 실험 데이터를 사용하여 결과를 검증하였다. FLOW-3D 기능의 경우, 소프트웨어가 파일 그룹 간의 예상 상호작용을 적절히 시뮬레이션할 수 있는 것으로 확인되었다. 플로우 필드 시뮬레이션 결과는 레이놀즈 숫자와 말뚝 간격이 vortices 형성에 가장 큰 영향을 미치는 변수라는 것을 보여주었다. 탠덤 더미 주변의 흐름과 웨이크 바이크 주변의 하향 흐름은 측면 배치와 단일 더미에 비해 더 강렬하고 복잡했다.

In this study to identify the flow pattern and local scour mechanism around pile groups, the flow field was simulated using FLOW-3D software. A pair of pile on a flat-bed channel with side by side and tandem arrangements was investigated. To establish Navier–Stokes equations, the RNGk-e turbulence model was used and the results were verified using experimental data. In case of FLOW-3D capability, it was found that the software was able to properly simulate the expected interaction between the pile groups. The results of flow field simulation showed that Reynolds number and the pile spacing are the most influential variables in forming vortices. The flow around tandem pile and the downward flow around wake vortices were more intense and complicate in comparison with side by side arrangements and single pile.

Keywords : Bridge, Sediment, Flow pattern, Pile group, Local scour

Fig. 1 General view of the channel and measured points a side by side b tandem arrangement

Fig. 2 Meshing around the two side by side piles: a plan and b side view

Fig. 3 Meshing around the two tandem piles: a plan and b side view

Fig. 5 Current lines in the horizontal level in: a 0.70 cm, and b 14 cm from the streambed in side by side piles

Fig. 6 Comparing iso-velocity line in longitudinal direction (u): a observed in 0.7 cm; b observed in 14 cm; c simulated in 0.7 cm and d simulated in 14 cm

Fig. 7 Comparing iso-velocity line in latitudinal direction (v): a observed in 0.7 cm; b observed in 14 cm; c simulated in 0.7 cm and d simulated in 14 cm

Fig. 8 3D velocity profiles in x–z plane in the center of the pile (Y = 0): a x = - 1.65D; b x = - 6.59D; c x = 0.69D; d x = 1.32D; e x = 3.69D and f x = 7.60D — Fig. 8 3D velocity profiles in x–z plane in the center of the pile (Y = 0): a x = – 1.65D; b x = – 6.59D; c x = 0.69D; d x = 1.32D; e x = 3.69D and f x = 7.60D

Fig. 9 Comparison of simulated and observed velocity in x–y plane in center of piles

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논문 원문 바로가기

Figure 7. Formation of incident and reflected waves.

Investigate Impact Force of Dam-Break Flow against Structures by Both 2D and 3D Numerical Simulations

2D 및 3D 수치 시뮬레이션에 의한 댐 붕괴유동의 구조물 충격력 조사

¹Faculty of Water Resources Engineering, Thuyloi University, 175 Tay Son, Dong Da, Ha Noi 116705, Vietnam
²Hydraulic Construction Institute, 3/95 Chua Boc, Dong Da, Ha Noi 116705, Vietnam
* Author to whom correspondence should be addressed.
Academic Editor: Costanza Aricò
Water 2021, 13(3), 344;

Abstract

본 논문의 목적은 일부 2D 및 3D 수치 모델이 침수 지역에 고립된 건물 또는 건물 배열이 있는 곳에서 홍수 파동을 시뮬레이션하는 능력을 조사하는 것이었습니다.

먼저, 제안된 2D 수치 모델은 구조화된 메시에서 2D 천수(shallow water) 방정식(2D-SWEs)을 해결하기 위한 유한 볼륨 방법(FVM)을 기반으로 했습니다.

FDS (flux-difference splitting)은 정확한 질량 균형을 얻기 위해 사용되었고 Roe 체계는 Riemann 문제를 근사하기 위해 호출되었습니다.

둘째, 상업적으로 이용 가능한 3D CFD 소프트웨어 패키지가 선택되었으며, 여기에는 두 가지 난류 모델이 포함된 Flow 3D 모델이 포함되어 있습니다.

RNG(Renormalized Group) 및 LES(Large-eddy Simulation)를 사용하는 레이놀즈 평균 Navier-Stokes(RAN)입니다. 댐 붕괴 흐름으로 인한 장애물에 대한 충격력의 수치 결과는 3D 솔루션이 2D 솔루션보다 훨씬 낫다는 것을 보여주었습니다.

건물 배열에 작용하는 충격력의 3D 수치 힘 결과를 보유하고 있는 실험 데이터와 비교함으로써, 속도 유도력이 동적 힘에 미치는 영향은 Froude 숫자의 함수와 사고 파동의 수심 함수에 의해 정량화 되었습니다. 또한, 우리는 힘의 강도의 피크 값의 3D 계산 결과에 대한 초기 물 단계와 댐 붕괴 폭의 영향을 조사했습니다.

The aim of this paper was to investigate the ability of some 2D and 3D numerical models to simulate flood waves in the presence of an isolated building or building array in an inundated area. Firstly, the proposed 2D numerical model was based on the finite-volume method (FVM) to solve 2D shallow-water equations (2D-SWEs) on structured mesh. The flux-difference splitting method (FDS) was utilized to obtain an exact mass balance while the Roe scheme was invoked to approximate Riemann problems. Secondly, the 3D commercially available CFD software package was selected, which contained a Flow 3D model with two turbulent models: Reynolds-averaged Navier-Stokes (RANs) with a renormalized group (RNG) and a large-eddy simulation (LES). The numerical results of an impact force on an obstruction due to a dam-break flow showed that a 3D solution was much better than a 2D one. By comparing the 3D numerical force results of an impact force acting on building arrays with the existence experimental data, the influence of velocity-induced force on a dynamic force was quantified by a function of the Froude number and the water depth of the incident wave. Furthermore, we investigated the effect of the initial water stage and dam-break width on the 3D-computed results of the peak value of force intensity.

Keywords: dam-break wave; 2D numerical model; Flow 3D model; structures; impact force

Introduction

홍수 위험 분석에 따른 도시 계획은 최근에 큰 연구 과제였습니다.

건물 또는 건물 그룹에 대한 홍수 파동의 영향에 대한 연구는 하류 지역에 대한 조기 경고 또는 안전 의식 향상에 중요한 역할을 했습니다. 기본적으로 댐 파괴 흐름에 대한 연구는 실험 측정이나 수치 시뮬레이션을 통해 추정 할 수 있습니다 [1,2,3,4,5,6].

컴퓨터 처리 능력의 증가로 인해 불연속 흐름에 대한 수치 연구가 비용 효율적이되었습니다. 지난 10 년 동안 천수(shallow water) 솔버는 정확성과 계산 능력면에서 크게 향상되었습니다. 침수 가능 지역의 수심 및 속도 프로파일과 같은 유체 역학적 매개 변수에 많은주의를 기울였습니다 [1,2,3,4,5,6,7,8].

Migot et al. [9]는 도시 홍수의 실험적 모델링에 관한 많은 기사를 검토했습니다. 그 논문에 언급 된 45 개의 작품 중 단 4 개의 프로젝트 만이 장애물에 가해지는 일정한 또는 비정상적인 흐름의 힘 또는 압력을 측정했습니다.

또한 물리적 및 2D 수치 모델에서 건물 또는 건물 그룹에 돌발 홍수가 미치는 영향에 대한 연구는 거의 없었습니다. 천수(shallow water) 모델은 [10,11]에서 고립된 장애물에 대한 충격의 힘을 예측하는데 사용되었습니다.

한편 Shige-eda [12]는 액체와 건물 배열 간의 상호 작용을 결정하기 위해 물리적 모델과 2D 수치 체계를 선택했습니다. Aureli와 Shige-eda는 수직 속도와 가속도를 무시하기 때문에 댐 파괴 흐름의 힘을 추정하기 위한 2D 천수(shallow water) 방정식 (SWE)의 단점을 보여주었습니다 [10,12].

Migot [9]은 또한 장애물 주변의 시뮬레이션된 홍수 흐름에 대한 2D SWE에 대한 여러 출판물이 있었지만 이 주제에 대한 3D 수치 모델에 대한 연구는 거의 없다고 지적했습니다. 최근 전산 유체 역학 (CFD) 3D 시뮬레이션은 유체 흐름과 관련된 문제를 해결하기위한 광범위한 도구가되었습니다.

댐 파괴 파의 특성은 [13,14,15,16]에 의해 주목되었고 Issakhov [17]는 다양한 종류의 장애물이 압력 분포에 미치는 영향을 조사하기 위해 CFD 방법을 사용했습니다. 그들은 분포가 댐 표면에서 3 배 더 낮다는 것을 밝혔다.

Aureli [10]는 댐 파괴 파가 구조물에 미치는 영향의 정적 힘을 평가하기 위해 실험 테스트와 2D 및 3D 수치 모델을 사용했습니다. Mokarani [18]는 댐 브레이크 흐름 영향의 VOF 시뮬레이션에서 피크 압력 안정성 조건을 연구했습니다.

앞서 언급한 작품에서 구조물이나 구조물 군에 작용하는 힘은 압력에 의한 정 수력 또는 정력이었다. 한편, 급류에서 속도로 인한 힘은 압력 력보다 크거나 같았습니다 [19]. Armanini [20]는 정상 흐름에 대해이 항을 추정하기 위한 분석적 표현 만을 제시했습니다. 우리가 아는 한, 건물 그룹에 작용하는 비정상 흐름의 동적 힘을 생성하기 위해 2D 및 3D 수학적 모델을 모두 사용하는 작업은 없습니다.

따라서 본 연구에서는 제안된 2D 수치 모델과 3D 수학적 모델 모두에 의해 고립 된 장애물 또는 장애물 그룹에 대한 급격한 비정상 흐름의 테스트 사례를 재현했습니다. 수심 및 유속 수문 그래프와 같은 몇 가지 수력 학적 특성이 추정되었으며 측정 된 데이터와 매우 잘 일치했습니다.

특히 댐 브레이크 흐름이 서로 다른 건물에 가하는 동적인 힘도 시뮬레이션했습니다. 속도 유도 힘이 동적 힘에 미치는 영향 수준을 나타내는 매개 변수는 Froude 수와 입사 파동의 수심의 함수인 것으로 밝혀졌습니다. 또한 붕괴된 댐 사이트 폭 (b)과 초기 수위 (h0)는 충격력의 최대 값에 영향을 미치는 변수로 고려되었습니다.

Figure 1. (a) Configuration of experiment test (dimension in meters); (b) Gauges on the vertical front face of building.

Figure 2. (a) Distributed pressure profiles at centerline of front face of column; (b) Comparison of load-time histories simulated by different numerical models

Figure 3. Group of buildings in flooded area.

Figure 4. Water depth and u-velocity profiles at gauge b.

Figure 5. Water hydrographs at gauges a and c.

Figure 6. Velocity component profiles at gauges a and c.

Figure 8. Snapshots of streamlines of Froude number at different times: 1.0 s, 2.0 s, 5.0 s and 10 s.

Figure 9. Force in the flow direction exerted on 6 buildings.

Figure 10. The linear regression between forces per unit width (F) and q2b/h0.

Conclusions

댐 붕괴 흐름으로 인한 홍수 파도는 높은 속도 또는 큰 깊이가 관련되었을 때 건물에 큰 영향을 미칩니다. 본 논문에서는 2D 및 3D 수치 모델의 건물 및 건물 그룹에 대한 빠른 흐름에 의해 발생하는 유압 특성과 충격 부하를 추정할 수 있는 능력을 조사했습니다. 천수(shallow water) 방정식에 기초한 2D 수학 모델은 FDS 방법으로 해결되었으며, FDS 방법은 최신 버전의 Flow 3D 유체 역학 모델과 함께 사용되었습니다. 연구의 주요 발견은 다음과 같습니다.
(1) 수심 또는 속도 프로파일을 공식화하기 위해 2D 및 3D 수치 솔루션은 모두 매우 유사합니다. 제안된 2D 수치 모델은 정적 힘의 최대 값 뿐만 아니라 수심 및 속도 구성 요소를 포함하는 유압 특성을 예측하는 데 적합합니다. 그러나 LES 및 RAN 난류 모듈이 포함된 3D 유체역학 모델은 2D 얕은 흐름 모델이 1개만 제공하는 동안 두 개의 최고 충격 부하를 잘 포착할 수 있습니다. 일반적으로 3D 결과는 실험 결과와 더 가깝습니다.
(2) 여러 건물에 대한 정적 및 동적 힘은 모두 LES 모듈을 사용하여 Flow 3D에 의해 계산되었습니다. 건물에서 속도에 의한 힘과 압력의 역할은 위치에 따라 다릅니다. 댐 현장 근처에서, 속도 유도 힘은 댐 파괴 파동의 주 방향에서 멀리 떨어져 있거나 두 번째 배열에서 압력 힘이 더 중요합니다. 속도 유도 힘의 영향은 매개 변수 α에 의해 정량화되며, 이는 사고파의 Froude 숫자와 수심 함수로 수행됩니다. q2b/h0과 정적 힘과 동적 힘의 피크 강도 사이의 선형 회귀 관계는 합리적인 R-제곱 양으로 해결됩니다.

추가 연구에서, 제시된 2D 수치 모델의 견고성과 효과는 더 명확하게 드러날 것입니다. 대규모 도메인에 대한 홍수 흐름을 시뮬레이션하는 데 쉽게 적용할 수 있습니다. 또한, α 매개변수의 제안된 방정식(21)은 실제 사례 연구에서 다운스트림 영역의 건물에 대한 속도 유도 힘의 영향을 정확하게 평가하기 위한 매우 의미가 있습니다. 이 매개 변수의 정확도 수준을 높이려면 서로 다른 조건에서 장애물에 작용하는 여러 가지 힘 실험이 구현되어야 합니다.

논문 원문 바로가기

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Figure 1. The bathymetry provided with the benchmark problem.

Performance Assessment of NAMI DANCE in Tsunami Evolution and Currents Using a Benchmark Problem

Deniz Velioglu

^1,*,

Rozita Kian

²,

Ahmet Cevdet Yalciner

³ and

Andrey Zaytsev

⁴

1Civil Engineering Department, Middle East Technical University, Ankara 06800, Turkey

²Ocean Engineering Department, University of Rhode Island, Narragansett, RI 02882, USA

³Civil Engineering Department, Middle East Technical University, Ankara 06800, Turkey

⁴Department of Applied Mathematics, Nizhny Novgorod State Technical University, Nizhny Novgorod 603950, Russia

Author to whom correspondence should be addressed.

Academic Editor: Richard P. Signell

J. Mar. Sci. Eng. 2016, 4(3), 49; https://doi.org/10.3390/jmse4030049

Received: 5 July 2016 / Revised: 2 August 2016 / Accepted: 12 August 2016 / Published: 18 August 2016

(This article belongs to the Special Issue Selected Papers from the 14th Estuarine and Coastal Modeling Conference)

Abstract

쓰나미 진화, 전파 및 침수의 수치 모델링은 현상에 관련된 수많은 매개 변수로 인해 복잡합니다. 쓰나미 모션을 해결하는 숫자 코드의 성능과 흐름 및 속도 패턴을 평가하는 것이 중요합니다. NAMI DANCE는 긴 파도 모델링을 위해 개발된 계산 도구입니다.

쓰나미 생성, 전파 및 침수 메커니즘의 수치 모델링 및 효율적인 시각화를 제공하고 쓰나미 매개 변수를 계산합니다. 긴 파도 이론에서, 물 입자의 수직 움직임은 압력 분포에 영향을 미치지 않습니다.

이러한 근사치와 소홀히 하는 수직 가속을 기반으로 질량 보존 및 모멘텀 방정식은 2차원 깊이 평균 방정식으로 줄어듭니다. NAMI DANCE는 유한차 계산 방법을 사용하여 긴 파도 문제에서 선형 및 비선형 형태의 깊이 평균 얕은 수식을 해결합니다.

이 연구에서 NAMI DANCE는 미국 포틀랜드에서 열린 2015 년 국립 쓰나미 위험 완화 프로그램 (NTHMP) 연례 회의에서 논의된 벤치 마크 문제에 적용됩니다.

벤치마크 문제는 하나의 독방 파도가 해양 섬 특징이 있는 삼각형 모양의 선반을 전파하는 일련의 실험을 특징으로 합니다. 이 문제는 섬 부근에서 상세한 무료 표면 고도 및 속도 의 타임 시리즈를 제공합니다. 결과를 비교한 결과, NAMI DANCE는 긴 파도 진화, 전파, 증폭 및 쓰나미 전류를 만족스럽게 예측할 수 있음을 보여주었습니다.

키워드: 수치 모델링;쓰나미 전류;깊이 평균 방정식;벤치마크,numerical modeling; tsunami currents; depth-averaged equation; benchmark

쓰나미는 해저 지진, 수중 산사태, 화산 폭발 또는 큰 운석 파업으로 인한 해저의 갑작스런 움직임에 의해 생성되는 큰 파도입니다. 쓰나미 파도는이 현상의 가장 파괴적인 매개 변수로 받아 들여진다; 그러나 큰 파도 움직임에 의해 트리거되는 전류는 경우에 따라 매우 치명적일 수 있습니다.

분지 공명 및 기하학적 증폭은 폐쇄 된 분지에서 쓰나미 영향의 지역 배율에 대한 두 가지 합리적으로 잘 이해된 메커니즘이며, 일반적으로 항구 또는 항구에서 쓰나미 위험 잠재력을 추정 할 때 조사 되는 메커니즘입니다. 반면에 전류에 대한 이해력과 예측 능력은부족하다[1].

이 연구는 수치 도구를 사용하여 쓰나미 진화, 전파 및 증폭뿐만 아니라 쓰나미 전류의 추정에 2 차원 깊이 평균 천수(shallow water)모델 방정식의 충분성을 조사하는 것을 목표로; 즉 나미 댄스. 1970 년대 이후, 독방 파도는 일반적으로 실험 및 수학 연구에서, 쓰나미를 모델링하는 데 사용되었습니다[2].

이러한 점에서 수치 코드는 복잡한 목욕을 통해 단일 독방 파도의 진화와 전파에 초점을 맞춘 벤치마크 문제에 적용됩니다. 이 문제는 선반의 근해에 위치한 섬 특징이 있는 삼각형 모양의 선반을 전파할 때 단일 고독한 파도의 변형을 분석하는 일련의 실험을 설명합니다. 섬 부근에 형성되는 해류도 실험에서 조사된다.

이 연구에 사용된 벤치마크 문제는 미국 포틀랜드에서 개최된 2015 년 국립 쓰나미 위험 완화 프로그램 (NTHMP) 워크샵의 벤치마크 문제 #5.3]. 벤치마크 데이터와 수치 결과를 비교하여 2차원 깊이 평균 얕은 수식은 쓰나미 파도 진화와 해류에 대해 만족스러운 결과를 제공하므로 쓰나미 완화 전략을 결정하는 동안 사용하기에 충분한 도구임을 관찰합니다.

Figure 2. Model parameters: (a) bathymetry of the numerical model, NAMI DANCE; (b) incoming wave.

Figure 3. Comparison of free surface elevation (FSE) results: (a) X = 7.5 m and Y = 0.0 m at Gage 1; (b) X = 13.0 m and Y = 0.0 m at Gage 2; (c) X = 21.0 m and Y = 0.0 m at Gage 3; (d) X = 7.5 m and Y = 5.0 m at Gage 4; (e) X = 13.0 m and Y = 5.0 m at Gage 5; (f) X = 21.0 m and Y = 5.0 m at Gage 6; (g) X = 25.0 m and Y = 0.0 m at Gage 7; (h) X = 25.0 m and Y = 5.0 m at Gage 8. Black line represents benchmark data, red line represents numerical results.

Figure 4. Comparison of results: (a) horizontal velocity in x-direction, U, recorded at X = 13.0 m, Y = 0.0 m and Z = 0.75 m at Gage 2; (b) horizontal velocity in y-direction, V, recorded at X = 13.0 m, Y = 0.0 m and Z = 0.75 m at Gage 2; (c) horizontal velocity in x-direction, U, recorded at X = 21.0 m, Y = −5.0 m and Z = 0.77 m at Gage 9; (d) horizontal velocity in y-direction, V, recorded at X = 21.0 m, Y = −5.0 m and Z = 0.77 m at Gage 9. Black line represents benchmark data, red line represents numerical results.

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© 2016 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license ( http://creativecommons.org/licenses/by/4.0/).

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수자원 분야

Water & Environmental

FLOW-3D는 작은 하수 처리 시스템부터 대형 수력 발전 프로젝트까지 수처리 및 환경 산업에 직면한 광범위한 문제를 해결할 수 있는 뛰어난 CFD 소프트웨어 입니다. FLOW-3D는 시뮬레이션의 복잡성을 감소시키고 최적의 솔루션에 대해 노력을 집중할 수 있도록 해줍니다. 이를 통해 통해 파악된 가치 있는 통찰력은 귀하의 상당한 시간과 비용을 절약 할 수 있습니다.

실제 지형을 적용하여 3차원 shallow water hybrid model을 이용한 댐 붕괴 시뮬레이션

FLOW-3D는 자유표면 흐름이 있는 수치해석 알고리듬에 의해 유동의 표면이 시공간적으로 변하는 모사를 위한 이상적인 도구라고 할 수 있습니다. 자유 표면은 물과 공기 같은 높은 비율의 밀도 변화를 가지는 유체들 사이의 특정한 경계를 일컫습니다. 자유 표면 흐름을 모델링하는 것은 일반적인 유동방정식과 난류 모델이 결합된 고급 알고리즘을 필요로 합니다. 이 기능은 FLOW-3D로 하여금 침수 구조에 의해 형성된 방수, 수력 점프 및 수면 변화의 흐름의 궤적을 포착 할 수 있습니다.

Hydraulics 적용사례 자료 다운로드 (STI C&D)

Water Treatments 적용사례 자료 다운로드 (STI C&D)

FLOW-3D Wastewater Brochure Download

FLOW-3D Stormwater Brochure Download

FLOW-3D Fish passages Brochure Download

FLOW-3D RIVERS Brochure Download

FLOW-3D Air Entrainment Brochure Download

FLOW-3D Sediment Scour Brochure Download

FLOW-3D DAMS Brochure Download

Bibliography & Technical Data

Study of a Tailings Dam Failure Pattern and Post-Failure Effects under Flooding Conditions

폐석댐 붕괴 패턴 및 홍수 조건에서의 붕괴 후 영향 연구 Zhong Gao, Jinpeng Liu, Wen He, Bokai Lu, Manman Wang, ...

Determination of Formulae for the Hydrodynamic Performance of a Fixed Box-Type Free Surface Breakwater in the Intermediate Water

중간 수심에서 고정된 박스형 자유 수면 방파제의 유체역학적 성능 공식을 결정하기 위한 연구 Guoxu Niu, Yaoyong Chen, Jiao Lu, Jing ...

Three-Dimensional Simulations of Subaerial Landslide-Generated Waves: Comparing OpenFOAM and FLOW-3D HYDRO Models

지표 산사태로 발생한 파랑의 3차원 시뮬레이션: OpenFOAM과 FLOW-3D HYDRO 모델 비교 Ramtin Sabeti, Mohammad Heidarzadeh, Alessandro Romano, Gabriel Barajas Ojeda ...

Discharge Formula and Hydraulics of Rectangular Side Weirs in the Small Channel and Field Inlet

소규모 수로 및 유입구에서의 직사각형 측면 위어의 유량 공식 및 수리학 Yingying Wang, Mouchao Lv, Wen’e Wang, Ming Meng Abstract ...

Three-dimensional flow structure in a confluence-bifurcation unit

합류 분기 유닛의 3차원 유동 구조 Di Wang, Xiaoyong Cheng, Zhixuan Cao, Jinyun Deng Abstract Enhanced understanding of flow structure ...

FLOW-3D 수치해석용 노트북 선택 가이드

2024년 가장 빠른 노트북 PCMag이 테스트하는 방법 소개 : 기사 원본 출처: https://www.pcmag.com/picks/the-fastest-laptops CFD를 수행하기 위한 노트북 선정 기준은 별도로 ...

Propagation Velocity of Excitation Waves Caused by Turbidity Currents

혼탁류에 의한 자극파의 전파 속도 Guohui Xu, Shiqing Sun, Yupeng Ren, Meng Li, Zhiyuan Chen Abstract Turbidity currents are important ...

Study on the Sand-Scouring Characteristics of Pulsed Submerged Jets Based on Experiments and Numerical Methods

실험과 수치 해석을 기반으로 한 펄스 잠수 제트의 모래 침식 특성 연구 Hongliang Wang, Xuanwen Jia,Chuan Wang, Bo Hu, Weidong ...

Numerical investigation of hydraulic jumps with USBR and wedge-shaped baffle block basins for lower tailwater

하부 테일워터를 위한 USBR 및 쐐기형 배플 블록 분지를 사용한 유압 점프의 수치적 조사 Muhammad Waqas Zaffar; Ishtiaq Hassan; Zulfiqar ...

Numerical Simulation Study on Characteristics of Airtight Water Film with Flow Deflectors

유동 편향기가 있는 밀폐수막의 특성에 관한 수치해석 연구 Zhang Weikang, Gong Hongwei Abstract In practical use, there is shrinkage in ...

FLOW-3D Water & Environmental Brochure (FSI) Bibliography

Models

Air Entrainment
Hybrid Shallow Water/3D Flow
Sediment Scour
Turbulence
More Modeling Capabilities

Case Studies

Evaluating Hydraulic Energy Losses and Total Hydraulic Head with FLOW-3D‘s Flux Baffles
Modeling Commercial Aquaculture Systems
Modeling Local Bridge Scour during Flood Event

Conference Proceedings

FLOW-3D HYDRO – The Complete CFD Solution for the Water & Environmental Industry

물 및 환경 산업을 위한 완벽한 CFD 솔루션인 FLOW-3D HYDRO의 신제품 출시를 알립니다.

Santa Fe, NM, 2020년 10월 29일 – Flow Science는 토목 및 환경 엔지니어링 산업을 위한 완벽한 CFD 모델링 솔루션인 FLOW-3D HYDRO를 출시했습니다. FLOW-3D HYDRO는 사용하기 편리한 수처리 해석 사용자 인터페이스를 갖추고 있으며 효율적인 모델링 워크플로우를 위한 새로운 시뮬레이션 템플릿과 토목 또는 환경 엔지니어의 요구에 맞춘 확장된 교육 자료를 제공합니다. FLOW-3D HYDRO의 진보된 솔버 개발에는 mine tailings, multiphase flows, shallow water models이 포함됩니다. 고성능 컴퓨팅을 위해 병렬 처리되고 모든 모델링 숙련도를 위해 설계된 FLOW-3D HYDRO는 사용자의 손에 뛰어난 시뮬레이션 기능을 제공합니다.
새로운 기능에 대한 자세한 설명은
https://flow3d.co.kr/flow-3d-hydro/
에서 확인할 수 있습니다.

“FLOW-3D HYDRO는 고객의 말을 경청하고 고객의 니즈를 파악한 결과입니다. 수처리 및 환경 고객을 위한 고급 CFD 솔루션을 개발하고 토목 및 환경 엔지니어링 업계에 범용-CFD 플로우-3D를 광범위하게 채택한 것을 바탕으로 소프트웨어 접근성과 사용자 관련성을 높일 수 있는 물 중심 인터페이스를 개발하여, 모델 설정 시간뿐만 아니라 설정 오류도 크게 감소했습니다. 유용성 및 모델링 성공 측면에서 이 신제품이 물과 환경 실무자들에게는 큰 자산이 될 것으로 생각합니다.

일련의 안내된 실습 과정을 통해 새로운 Flow-3D HYDRO소프트웨어를 소개하는 일련의 온라인 워크샵이 예정되어 있습니다. 워크샵 등록에는 참가자들이 소프트웨어와 소프트웨어 기능을 살펴볼 수 있도록 30일 평가 라이센스가 포함되어 있습니다. 등록은 다음 위치에서 사용할 수 있습니다.
https://www.flow3d.com/flow3d-hydro-workshop/에서 확인할 수 있습니다.

사용자 성공을 위해 FLOW-3D HYDRO는 높은 수준의 지원, 비디오 튜토리얼 및 광범위한 예제 시뮬레이션에 대한 액세스 권한을 제공합니다. 또한 고객은 Flow Science의 CFD 서비스를 활용하여 맞춤형 교육 과정, HPC 리소스 및 유연한 클라우드 컴퓨팅 옵션을 포함한 제품 경험을 강화할 수 있습니다.

FLOW-3D HYDRODOR 릴리즈 웨비나는 12월 3일에 열릴 예정입니다. 온라인 등록은 https://zoom.us/webinar/register/WN_pAh7Gi_fQXWc2Y3BGOrg-A에서 가능합니다.

FLOW-3D HYDRO

FLOW-3D HYDRO 2024R1 의 새로운 기능

FLOW-3D HYDRO 2024R1의 흥미로운 새로운 발전은 지형 및 수심과 같은 물체를 지리적 좌표계(예: UTM)에 정의하고 다른 물체를 편리한 로컬 좌표계(예: BIM 좌표)에 정의할 수 있도록 하여 지리적 좌표계 작업을 용이하게 하는 사이트 좌표 시스템(일명 로컬 또는 프로젝트 좌표 시스템이라고도 함)의 도입입니다. 이 새로운 기능은 사이트 좌표 시스템을 설정하기 위한 명확하고 간단한 인터페이스와 Revit 공유 좌표 파일에서 읽기만 하면 모델 설정 중 수동 좌표 변환과 관련된 시간, 노력 및 위험을 줄입니다.

Site coordinate system — 모델링 편의를 위해 별도의 사이트 좌표계(가운데 축)가
정의된 상태에서 UTM 좌표(오른쪽 하단의 축 방향 참조)로
정의된 LandXML 파일

FLOW-3D HYDRO의 두 번째 개발은 LandXML과 삼각형 래스터 표면을 EXODUS II 기반 출력 파일에 포함하는 것입니다. 따라서 후처리 시 전체 지형/수심 측정을 사용할 수 있으므로 모델링 세부 사항이 아닌 스토리에 초점을 맞춘 방식으로 청중에게 결과를 더 쉽게 전달할 수 있습니다.

Land XML support — 모델링 영역 내부의 지형(왼쪽)과 삼각형으로 작성된 표면(오른쪽). 산과 하류 계곡은 모델링 영역에 포함되지 않지만 삼각형으로 작성된 표면은 맥락과 명확성을 높이기 위해 이들 지형을 포함한다는 점에 유의하세요.

FLOW-3D HYDRO 2023R2 의 새로운 기능

새로운 결과 파일 형식

FLOW-3D POST 2023R2는 EXODUS II 형식을 기반으로 하는 완전히 새로운 결과 파일 형식을 도입하여 더 빠른 후처리를 가능하게 합니다. 이 새로운 파일 형식은 크고 복잡한 시뮬레이션의 후처리 작업에 소요되는 시간을 크게 줄이는 동시에(평균 최대 5배!) 다른 시각화 도구와의 연결성을 향상시킵니다.

FLOW-3D POST 2023R2 에서 사용자는 이제 선택한 데이터를 flsgrf 또는 EXODUS II 파일 형식으로 쓸 수 있습니다 . 새로운 EXODUS II 파일 형식은 각 개체에 대해 유한 요소 메시를 활용하므로 사용자는 다른 호환 가능한 포스트 프로세서 및 FEA 코드를 사용하여 FLOW-3D HYDRO 결과를 열 수도 있습니다. 새로운 워크플로우를 통해 사용자는 크고 복잡한 사례를 신속하게 시각화하고 임의 슬라이싱, 볼륨 렌더링 및 통계를 사용하여 보조 정보를 추출할 수 있습니다.

혼입 공기 시뮬레이션 — *FLOW-3D* POST 의 새로운 EXODUS II 파일 형식에서 볼륨 렌더링 기능을 사용하여 동반된 공기를 보여주는 예입니다 .

새로운 결과 파일 형식은 hydr3d 솔버의 성능을 저하시키지 않으면서 flsgrf 에 비해 시각화 작업 흐름에서 놀라운 속도 향상을 자랑합니다. 이 흥미로운 새로운 개발은 결과 분석의 속도와 유연성이 향상되어 원활한 시뮬레이션 경험을 제공합니다.

FLOW-3D POST 의 새로운 시각화 기능 에 대해 자세히 알아보세요 .

난류 모델 개선

FLOW-3D HYDRO 2023R2는 2방정식(RANS) 난류 모델에 대한 동적 혼합 길이 계산을 크게 개선했습니다. 거의 층류 흐름 체계와 같은 특정 제한 사례에서는 이전 버전의 코드 계산 제한기가 때때로 과도하게 예측되어 사용자가 특정 혼합 길이를 수동으로 입력해야 할 수 있습니다.

새로운 동적 혼합 길이 계산은 이러한 상황에서 난류 길이와 시간 규모를 더 잘 설명하며, 이제 사용자는 고정(물리 기반) 혼합 길이를 설정하는 대신 더 넓은 범위의 흐름에 동적 모델을 적용할 수 있습니다.

접촉식 탱크 혼합 시뮬레이션 — 적절한 고정 혼합 길이와 비교하여 접촉 탱크의 혼합 시뮬레이션을 위한 기존 동적 혼합 길이 모델과 새로운 동적 혼합 길이 모델 간의 비교

정수압 초기화

사용자가 미리 정의된 유체 영역에서 정수압을 초기화해야 하는 경우가 많습니다. 이전에는 대규모의 복잡한 시뮬레이션에서 정수압 솔버의 수렴 속도가 느려지는 경우가 있었습니다. FLOW-3D HYDRO 2023R2는 정수압 솔버의 성능을 크게 향상시켜 전처리 단계에서 최대 6배 빠르게 수렴할 수 있도록 해줍니다.

확장된 지형 표현 지원

GeoTIFF 지원

2023R2 릴리스에서 FLOW-3D HYDRO는 기본적으로 래스터 지형 및 수심 측량을 위한 GeoTIFF(.tif) 파일 형식을 지원합니다. 이제 사용자는 GeoTIFF 파일을 사용자 인터페이스로 직접 가져올 수 있습니다.

GeoTIFF 래스터 파일의 예 — ***FLOW-3D*** **HYDRO** 에서 렌더링된 GeoTIFF(.tif) 래스터 파일의 예

LandXML 지원

측량 데이터가 균일하지 않거나 래스터 표면의 해상도가 충분하지 않은 경우 TIN 표면은 LandXML(.xml) 파일 형식을 통해 향상된 지형 지도를 제공합니다. FLOW-3D HYDRO 2023R2는 기본적으로 LandXML 파일을 가져옵니다.

래스터 파일과의 향상된 상호 작용

래스터 파일은 고해상도에서 넓은 지형 영역을 다루는 경우가 많으므로 사용자 인터페이스에서 3D 표현의 상호 작용 속도가 느려질 수 있습니다. 이제 사용자는 3D 표현의 품질을 제어하여 렌더링 시간을 크게 줄이고 상호 작용성을 크게 향상시킬 수 있습니다.

FLOW-3D HYDRO 2023R1 의 새로운 기능

FLOW-3D 소프트웨어 제품군의 모든 제품은 2023R1에서 IT 관련 개선 사항을 받았습니다.

FLOW-3D HYDRO 2023R1은 이제 Windows 11 및 RHEL 8을 지원합니다. Linux 설치 프로그램은 누락된 종속성을 보고하도록 개선되었으며 더 이상 루트 수준 권한이 필요하지 않으므로 설치가 더 쉽고 안전해집니다. 그리고 워크플로를 자동화한 분들을 위해 입력 파일 변환기에 명령줄 인터페이스를 추가하여 스크립트 환경에서도 워크플로가 업데이트된 입력 파일로 작동하는지 확인할 수 있습니다.

천수(shallow water) 난류 모델

난류는 물과 환경 흐름장의 주요 측면이며, 특히 천수(shallow water) 근사치로 모델링된 영역에서는 더욱 그렇습니다. 우리는 모델링 위험을 줄이고 더 나은 결과를 제공하기 위해 세 가지 새로운 난류 모델, 일정한 확산도, 혼합 길이 및 Smagorinsky 모델을 포함하도록 천수(shallow water) 모델의 난류 처리를 개선했습니다.

FLOW-3D HYDRO 2022R2 의 새로운 기능

FLOW-3D HYDRO 2022R2 출시로 Flow Science는 FLOW-3D HYDRO 의 워크스테이션과 HPC 버전을 통합하여 단일 노드 CPU 구성에서 다중 노드에 이르기까지 모든 유형의 하드웨어 아키텍처를 활용할 수 있는 단일 솔버 엔진을 제공했습니다. 병렬 고성능 컴퓨팅 실행. 추가 개발에는 향상된 공기 동반 기능과 물 및 환경 응용 분야에 대한 경계 조건 정의 개선이 포함됩니다.

통합 솔버

우리는 FLOW-3D 제품을 단일 통합 솔버로 마이그레이션하여 로컬 워크스테이션이나 고성능 컴퓨팅 하드웨어 환경에서 원활하게 실행했습니다.

많은 사용자가 노트북이나 로컬 워크스테이션에서 모델을 실행하지만, 고성능 컴퓨팅 클러스터에서도 더 큰 모델을 실행합니다. 2022R2 릴리스에서는 통합 솔버를 통해 사용자가 HPC 솔루션의 OpenMP/MPI 하이브리드 병렬화와 동일한 이점을 활용하여 워크스테이션과 노트북에서 실행할 수 있습니다.

메쉬 분해 - 2소켓 워크스테이션 — 2소켓 워크스테이션에서 OpenMP/MPI 하이브리드 병렬화를 위한 메시 분해의 예

멀티 소켓 워크스테이션

다중 소켓 워크스테이션은 이제 매우 일반적이며 대규모 시뮬레이션을 실행할 수 있습니다. 새로운 통합 솔버를 사용하면 이러한 유형의 하드웨어를 사용하는 사용자는 일반적으로 HPC 클러스터 구성에서만 사용할 수 있었던 OpenMP/MPI 하이브리드 병렬화를 활용하여 모델을 실행할 수 있어 성능이 향상되는 것을 확인할 수 있습니다.

낮은 수준의 루틴으로 향상된 벡터화 및 메모리 액세스

대부분의 테스트 사례에서 10~20% 정도의 성능 향상이 관찰되었으며 일부 사례에서는 20%를 초과하는 런타임 이점이 나타났습니다.

정제된 체적 대류 안정성 한계

시간 단계 안정성 제한은 모델 런타임의 주요 동인이며, 2022R2에서는 새로운 시간 단계 안정성 제한인 3D 대류 안정성 제한을 숫자 위젯에서 사용할 수 있습니다. 실행 중이고 대류가 제한된(cx, cy 또는 cz 제한) 모델의 경우 새 옵션은 일반적인 속도 향상을 30% 정도 보여줍니다.

압력 솔버 프리컨디셔너

경우에 따라 까다로운 흐름 구성의 경우 과도한 압력 솔버 반복으로 인해 실행 시간이 길어질 수 있습니다. 이러한 어려운 경우 2022R2에서는 모델이 너무 많이 반복되면 FLOW-3D가 자동으로 새로운 사전 조절기를 활성화하여 압력 수렴을 돕습니다. 테스트의 런타임은 1.9에서 335까지 더 빨라졌습니다!

점탄성 유체에 대한 로그 형태 텐서 방법

점탄성 유체에 대한 새로운 솔버 옵션을 사용자가 사용할 수 있으며 특히 높은 Weissenberg 수에 효과적입니다.

FLOW-3D HYDRO 경계 조건 개선

FLOW-3D HYDRO 2022R2 에서는 물 적용 경계 조건에 대한 두 가지 개선 사항을 사용할 수 있습니다 . 천수(shallow water)의 유량 경계 조건이 개선되어 보다 현실적이고 공간적으로 변화하는 속도 프로파일을 생성하므로 사용자는 정확도를 잃지 않고 도메인 크기를 줄일 수 있습니다. 자연적인 입구 경계 조건의 경우 정격 곡선 완화 시간 옵션을 사용하여 과도 조건에 대한 응답을 향상시킬 수 있습니다.

입구 경계에서 흐름 방향으로 변하는 속도 프로파일의 예

향상된 공기 동반 기능

디퓨저 및 유사한 기포 흐름 응용 분야의 경우 이제 질량 공급원을 사용하여 물기둥에 공기를 유입할 수 있습니다. 또한, 동반 공기 및 용존 산소의 난류 확산에 대한 기본값이 업데이트되었습니다.

디퓨저 모델의 예: 이제 질량 소스를 사용하여 물기둥에 공기를 유입할 수 있습니다.

FLOW-3D HYDRO 아카이브 의 새로운 기능

F LOW-3D HYDRO 2022R1 의 새로운 기능

FLOW-3D HYDRO 의 새로운 기능

제품 개요

최근 FLOW Science, Inc에서는 토목 및 환경 엔지니어링 산업을위한 완벽한 CFD 모델링 솔루션인 FLOW-3D HYDRO 제품을 출시했습니다. 기존 FLOW-3D 사용자이거나 유압 엔지니어링 관행에 CFD 모델링 기능을 사용하시는 것에 관심이 있는 경우, 언제든지 아래 연락처로 연락주세요.
연락처 : 02-2026-0442
이메일 : flow3d@stikorea.co.kr

FLOW-3D HYDRO 는 더 높은 수준의 정확도와 모델 해상도를 제공하기 위해 3D 비 유압 모델링 기능이 필요한 경우 고급 모델링 도구로 사용할 수 있습니다. 일반적인 모델링 응용 분야는 소형 댐 / 인프라, 운송 수력학, 복잡한 3D 하천 수력학, 열 부력 연기, 배수구 및 오염 물질 수송과 관련됩니다.

FLOW-3D HYDRO의 핵심 기능은 전체 3D 모델과 동적으로 연결될 수있는 천수(shallow water) 모델입니다.

이 기능을 통해 사용자는 멀티 스케일 모델링 애플리케이션을위한 모델 도메인을 확장하여 필요한 모델 해상도로 계산 효율성을 극대화 할 수 있습니다. FLOW-3D HYDRO 또한 강 및 환경 응용 분야에 특화된 추가 기능과 고급 물리학을 포함합니다.

시뮬레이션 템플릿

FLOW-3D HYDRO 의 작업 공간 템플릿으로 시간을 절약하고 실수를 방지하며 일관된 모델을 실행하십시오 . 작업 공간 템플릿은 일반적인 응용 분야에 대한 유체 속성, 물리적 모델, 수치 설정 및 시뮬레이션 출력을 미리로드합니다.

작업 공간 템플릿은 7 가지 모델 클래스에 사용할 수 있습니다.

자유 표면 – TruVOF (기본값)
공기 유입
열 기둥
퇴적물 수송
천수(shallow water)
자유 표면 – 2 유체 VOF
자유 표면 없음

사전로드 된 예제 시뮬레이션

FLOW-3D HYDRO 의 40 개 이상의 사전로드 된 물 중심 예제 시뮬레이션 라이브러리는 애플리케이션 모델링을위한 훌륭한 시작점을 제공합니다. 사전로드 된 예제 시뮬레이션은 모델러에게 모델 설정 및 모범 사례의 로드맵뿐만 아니라 대부분의 애플리케이션에 대한 자세한 시작점을 제공합니다.이전다음

비디오 튜토리얼

비디오 자습서는 새로운 사용자가 다양한 응용 프로그램을 모델링하는 방법을 빠르게 배울 수있는 훌륭한 경로를 제공합니다. FLOW-3D HYDRO 비디오 튜토리얼 기능 :

광범위한 응용 및 물리학을위한 AZ 단계별 기록
“사용 방법”정보
모범 사례를위한 팁
CAD / GIS 데이터, 시뮬레이션 파일 및 후 처리 파일

고급 솔버 개발

Tailings Model

새로운 Tailings Model은 tailings dam failure로 인한 tailings runout을 시뮬레이션하기위한 고급 기능을 제공합니다. tailings정의에 대한 다층 접근 방식과 함께 미세하고 거친 입자 구성을 나타내는 이중 모드 점도 모델은 모든 방법으로 건설 된 tailings 댐의 모델링을 허용합니다.

천수(shallow water), 3D 및 하이브리드 3D / 천수(shallow water) 메싱을 포함한 유연한 메싱을 통해 얕은 지역에서 빠른 솔루션을 제공하면서 다층 tailings의 복잡성을 정확하게 모델링 할 수 있습니다. 점성 경계층의 정확한 표현을 위해 천수(shallow water) 메시에 2 층 Herschel-Bulkley 점도 모델을 사용할 수 있습니다.

모델 하이라이트

미세 입자 및 거친 입자 광미 조성물을위한 이중 모드 점도 모델
침전, 패킹 및 입자 종의 난류 확산을 포함한 Tailings 수송
천수(shallow water) 메시를위한 2 층 Herschel-Bulkley 점도 모델
3D, 천수(shallow water), 3D / 천수(shallow water) 하이브리드 메시를 포함한 유연한 메시 접근 방식
Multi-layer, variable composition tailings for general definition of tailings dam construction

Shallow Water

FLOW-3D HYDRO 의 천수(shallow water) 모델링 기능은 3D 메시를 천수(shallow water) 메시와 결합하여 탁월한 모델링 다양성을 제공하는 고유 한 하이브리드 메시를 사용합니다. 압력 솔버의 수치 개선으로 더 안정적이고 빠른 시뮬레이션이 가능합니다. 하이브리드 메쉬의 하단 전단 응력 계산이 크게 향상되어 정확도가 더욱 향상되었습니다. 지형에 거칠기를 적용하는 새로운 방법에는 Strickler, Chezy, Nikuradse, Colebrook-White, Haaland 및 Ramette 방정식이 포함됩니다.

Two-Fluid VOF Model

sharp 인터페이스가 있거나 없는 압축 가능 또는 비압축성 2 유체 모델은 항상 1 유체 자유 표면 모델과 함께 FLOW-3D 에서 사용할 수 있습니다 . 사실, sharp 인터페이스 처리는 TruVOF 기술을 자유 표면 모델과 공유하며 상용 CFD 소프트웨어에서 고유합니다. 최근 개발에는 2- 필드 온도 및 인터페이스 슬립 모델이 포함되었습니다. 이 모델은 오일 / 물, 액체 / 증기, 물 / 공기 및 기타 2 상 시스템에 성공적으로 적용되었습니다.

FLOW-3D HYDRO 는 2- 유체 솔루션의 정확성과 안정성에서 두 가지 중요한 발전을보고 있습니다. 운동량과 질량 보존 방정식의 강화 된 결합은 특히 액체 / 기체 흐름에서 계면에서 운동량 보존을 향상시킵니다. 연속성 방정식에서 제한된 압축성 항의 확장 된 근사값은 더 빠르고 안정적인 2 유체 압력 솔버를 만듭니다.

예를 들어, 터널 및 드롭 샤프트 설계와 같은 유압 응용 분야에서 공기가 종종 중요한 역할을 하기 때문에 두 개발 모두 FLOW-3D HYDRO 릴리스에 적시에 적용됩니다. 일반적으로 낮은 마하 수로 인해 이러한 경우 물과 공기에 제한된 압축성이 사용됩니다.

고성능 컴퓨팅 및 클라우드

일반 워크스테이션 또는 랩톱으로 많은 작업을 수행 할 수 있지만, 대형 시뮬레이션과 고화질 시뮬레이션은 더 많은 CPU 코어를 활용함으로써 엄청난 이점을 얻을 수 있습니다. FLOW-3D CLOUD 및 고성능 컴퓨팅은 더 빠르고 정확한 모델을 실행할 수있는 더 빠른 런타임과 더 많은 선택권을 제공합니다.

하천 및 환경 중심 애플리케이션

TRANSPORTATION HYDRAULICS
SMALL DAMS AND DIVERSIONS
RIVER HYDRAULICS
SEDIMENT TRANSPORT AND DEPOSITION
OUTFALLS EFFLUENTS
THERMAL PLUMES BUOYANT FLOWS

Case Studies

Turbulent Dispersion Modeling of Environmental Discharges

Fish Ladder Design

Hydrodynamic Screws

자유 표면 모델링 방법

본 자료는 국내 사용자들의 편의를 위해 원문 번역을 해서 제공하기 때문에 일부 오역이 있을 수 있어서 원문과 함께 수록합니다. 자료를 이용하실 때 참고하시기 바랍니다.

Free Surface Modeling Methods

An interface between a gas and liquid is often referred to as a free surface. The reason for the “free” designation arises from the large difference in the densities of the gas and liquid (e.g., the ratio of density for water to air is 1000). A low gas density means that its inertia can generally be ignored compared to that of the liquid. In this sense the liquid moves independently, or freely, with respect to the gas. The only influence of the gas is the pressure it exerts on the liquid surface. In other words, the gas-liquid surface is not constrained, but free.

자유 표면 모델링 방법

기체와 액체 사이의 계면은 종종 자유 표면이라고합니다. ‘자유’라는 호칭이 된 것은 기체와 액체의 밀도가 크게 다르기 때문입니다 (예를 들어, 물 공기에 대한 밀도 비는 1000입니다). 기체의 밀도가 낮다는 것은 액체의 관성에 비해 기체의 관성은 일반적으로 무시할 수 있다는 것을 의미합니다. 이러한 의미에서, 액체는 기체에 대해 독립적으로, 즉 자유롭게 움직입니다. 기체의 유일한 효과는 액체의 표면에 대한 압력입니다. 즉, 기체와 액체의 표면은 제약되어있는 것이 아니라 자유롭다는 것입니다.

In heat-transfer texts the term ‘Stephen Problem’ is often used to describe free boundary problems. In this case, however, the boundaries are phase boundaries, e.g., the boundary between ice and water that changes in response to the heat supplied from convective fluid currents.

열전달에 관한 문서는 자유 경계 문제를 묘사할 때 “Stephen Problem’”라는 용어가 자주 사용됩니다. 그러나 여기에서 경계는 상(phase) 경계, 즉 대류적인 유체의 흐름에 의해 공급된 열에 반응하여 변화하는 얼음과 물 사이의 경계 등을 말합니다.

Whatever the name, it should be obvious that the presence of a free or moving boundary introduces serious complications for any type of analysis. For all but the simplest of problems, it is necessary to resort to numerical solutions. Even then, free surfaces require the introduction of special methods to define their location, their movement, and their influence on a flow.

이름이 무엇이든, 자유 또는 이동 경계가 존재한다는 것은 어떤 유형의 분석에도 복잡한 문제를 야기한다는 것은 분명합니다. 가장 간단한 문제를 제외한 모든 문제에 대해서는 수치 해석에 의존할 필요가 있습니다. 그 경우에도 자유 표면은 위치, 이동 및 흐름에 미치는 영향을 정의하기 위한 특별한 방법이 필요합니다.

In the following discussion we will briefly review the types of numerical approaches that have been used to model free surfaces, indicating the advantages and disadvantages of each method. Regardless of the method employed, there are three essential features needed to properly model free surfaces:

A scheme is needed to describe the shape and location of a surface,
An algorithm is required to evolve the shape and location with time, and
Free-surface boundary conditions must be applied at the surface.

다음 설명에서는 자유 표면 모델링에 사용되어 온 다양한 유형의 수치적 접근에 대해 간략하게 검토하고 각 방법의 장단점을 설명합니다. 어떤 방법을 사용하는지에 관계없이 자유롭게 표면을 적절히 모델화하는 다음의 3 가지 기능이 필요합니다.

표면의 형상과 위치를 설명하는 방식
시간에 따라 모양과 위치를 업데이트 하는 알고리즘
표면에 적용할 자유 표면 경계 조건

Lagrangian Grid Methods

Conceptually, the simplest means of defining and tracking a free surface is to construct a Lagrangian grid that is imbedded in and moves with the fluid. Many finite-element methods use this approach. Because the grid and fluid move together, the grid automatically tracks free surfaces.

라그랑주 격자 법

개념적으로 자유 표면을 정의하고 추적하는 가장 간단한 방법은 유체와 함께 이동하는 라그랑주 격자를 구성하는 것입니다. 많은 유한 요소 방법이 이 접근 방식을 사용합니다. 격자와 유체가 함께 움직이기 때문에 격자는 자동으로 자유 표면을 추적합니다.

At a surface it is necessary to modify the approximating equations to include the proper boundary conditions and to account for the fact that fluid exists only on one side of the boundary. If this is not done, asymmetries develop that eventually destroy the accuracy of a simulation.

표면에서 적절한 경계 조건을 포함하고 유체가 경계의 한면에만 존재한다는 사실을 설명하기 위해 근사 방정식을 수정해야합니다. 이것이 수행되지 않으면 결국 시뮬레이션의 정확도를 훼손하는 비대칭이 발생합니다.

The principal limitation of Lagrangian methods is that they cannot track surfaces that break apart or intersect. Even large amplitude surface motions can be difficult to track without introducing regridding techniques such as the Arbitrary-Lagrangian-Eulerian (ALE) method. References 1970 and 1974 may be consulted for early examples of these approaches.

라그랑지안 방법의 주요 제한은 분리되거나 교차하는 표면을 추적 할 수 없다는 것입니다. ALE (Arbitrary-Lagrangian-Eulerian) 방법과 같은 격자 재생성 기법을 도입하지 않으면 진폭이 큰 표면 움직임도 추적하기 어려울 수 있습니다. 이러한 접근법의 초기 예를 보려면 참고 문헌 1970 및 1974를 참조하십시오.

The remaining free-surface methods discussed here use a fixed, Eulerian grid as the basis for computations so that more complicated surface motions may be treated.

여기에서 논의된 나머지 자유 표면 방법은 보다 복잡한 표면 움직임을 처리할 수 있도록 고정된 오일러 그리드를 계산의 기준으로 사용합니다.

Surface Height Method

Low amplitude sloshing, shallow water waves, and other free-surface motions in which the surface does not deviate too far from horizontal, can be described by the height, H, of the surface relative to some reference elevation. Time evolution of the height is governed by the kinematic equation, where (u,v,w) are fluid velocities in the (x,y,z) directions. This equation is a mathematical expression of the fact that the surface must move with the fluid:

표면 높이 법

낮은 진폭의 슬로 싱, 얕은 물결 및 표면이 수평에서 너무 멀리 벗어나지 않는 기타 자유 표면 운동은 일부 기준 고도에 대한 표면의 높이 H로 설명 할 수 있습니다. 높이의 시간 진화는 운동학 방정식에 의해 제어되며, 여기서 (u, v, w)는 (x, y, z) 방향의 유체 속도입니다. 이 방정식은 표면이 유체와 함께 움직여야한다는 사실을 수학적으로 표현한 것입니다.

Finite-difference approximations to this equation are easy to implement. Further, only the height values at a set of horizontal locations must be recorded so the memory requirements for a three-dimensional numerical solution are extremely small. Finally, the application of free-surface boundary conditions is also simplified by the condition on the surface that it remains nearly horizontal. Examples of this technique can be found in References 1971 and 1975.

이 방정식의 유한 차분 근사를 쉽게 실행할 수 있습니다. 또한 3 차원 수치 해법의 메모리 요구 사항이 극도로 작아지도록 같은 높이의 위치 값만을 기록해야합니다. 마지막으로 자유 표면 경계 조건의 적용도 거의 수평을 유지하는 표면의 조건에 의해 간소화됩니다. 이 방법의 예는 참고 문헌의 1971 및 1975을 참조하십시오.

Marker-and-Cell (MAC) Method

The earliest numerical method devised for time-dependent, free-surface, flow problems was the Marker-and-Cell (MAC) method (see Ref. 1965). This scheme is based on a fixed, Eulerian grid of control volumes. The location of fluid within the grid is determined by a set of marker particles that move with the fluid, but otherwise have no volume, mass or other properties.

MAC 방법

시간 의존성을 가지는 자유 표면 흐름의 문제에 대해 처음 고안된 수치 법이 MAC (Marker-and-Cell) 법입니다 (참고 문헌 1965 참조). 이 구조는 컨트롤 볼륨 고정 오일러 격자를 기반으로합니다. 격자 내의 유체의 위치는 유체와 함께 움직이고, 그 이외는 부피, 질량, 기타 특성을 갖지 않는 일련의 마커 입자에 의해 결정됩니다.

Grid cells containing markers are considered occupied by fluid, while those without markers are empty (or void). A free surface is defined to exist in any grid cell that contains particles and that also has at least one neighboring grid cell that is void. The location and orientation of the surface within the cell was not part of the original MAC method.

마커를 포함한 격자 셀은 유체로 채워져있는 것으로 간주되며 마커가 없는 격자 셀은 빈(무효)것입니다. 입자를 포함하고, 적어도 하나의 인접 격자 셀이 무효인 격자의 자유 표면은 존재하는 것으로 정의됩니다. 셀 표면의 위치와 방향은 원래의 MAC 법에 포함되지 않았습니다.

Evolution of surfaces was computed by moving the markers with locally interpolated fluid velocities. Some special treatments were required to define the fluid properties in newly filled grid cells and to cancel values in cells that are emptied.

표면의 발전(개선)은 국소적으로 보간된 유체 속도로 마커를 이동하여 계산되었습니다. 새롭게 충전된 격자 셀의 유체 특성을 정의하거나 비어있는 셀의 값을 취소하거나 하려면 특별한 처리가 필요했습니다.

The application of free-surface boundary conditions consisted of assigning the gas pressure to all surface cells. Also, velocity components were assigned to all locations on or immediately outside the surface in such a way as to approximate conditions of incompressibility and zero-surface shear stress.

자유 표면 경계 조건의 적용은 모든 표면 셀에 가스 압력을 할당하는 것으로 구성되었습니다. 또한 속도 성분은 비압축성 및 제로 표면 전단 응력의 조건을 근사화하는 방식으로 표면 위 또는 외부의 모든 위치에 할당되었습니다.

The extraordinary success of the MAC method in solving a wide range of complicated free-surface flow problems is well documented in numerous publications. One reason for this success is that the markers do not track surfaces directly, but instead track fluid volumes. Surfaces are simply the boundaries of the volumes, and in this sense surfaces may appear, merge or disappear as volumes break apart or coalesce.

폭넓게 복잡한 자유 표면 흐름 문제 해결에 MAC 법이 놀라운 성공을 거두고 있는 것은 수많은 문헌에서 충분히 입증되고 있습니다. 이 성공 이유 중 하나는 마커가 표면을 직접 추적하는 것이 아니라 유체의 체적을 추적하는 것입니다. 표면은 체적의 경계에 불과하며, 그러한 의미에서 표면은 분할 또는 합체된 부피로 출현(appear), 병합, 소멸 할 가능성이 있습니다.

A variety of improvements have contributed to an increase in the accuracy and applicability of the original MAC method. For example, applying gas pressures at interpolated surface locations within cells improves the accuracy in problems driven by hydrostatic forces, while the inclusion of surface tension forces extends the method to a wider class of problems (see Refs. 1969, 1975).

다양한 개선으로 인해 원래 MAC 방법의 정확성과 적용 가능성이 증가했습니다. 예를 들어, 셀 내 보간 된 표면 위치에 가스 압력을 적용하면 정 수력으로 인한 문제의 정확도가 향상되는 반면 표면 장력의 포함은 방법을 더 광범위한 문제로 확장합니다 (참조 문헌. 1969, 1975).

In spite of its successes, the MAC method has been used primarily for two-dimensional simulations because it requires considerable memory and CPU time to accommodate the necessary number of marker particles. Typically, an average of about 16 markers in each grid cell is needed to ensure an accurate tracking of surfaces undergoing large deformations.

수많은 성공에도 불구하고 MAC 방법은 필요한 수의 마커 입자를 수용하기 위해 상당한 메모리와 CPU 시간이 필요하기 때문에 주로 2 차원 시뮬레이션에 사용되었습니다. 일반적으로 큰 변형을 겪는 표면의 정확한 추적을 보장하려면 각 그리드 셀에 평균 약 16 개의 마커가 필요합니다.

Another limitation of marker particles is that they don’t do a very good job of following flow processes in regions involving converging/diverging flows. Markers are usually interpreted as tracking the centroids of small fluid elements. However, when those fluid elements get pulled into long convoluted strands, the markers may no longer be good indicators of the fluid configuration. This can be seen, for example, at flow stagnation points where markers pile up in one direction, but are drawn apart in a perpendicular direction. If they are pulled apart enough (i.e., further than one grid cell width) unphysical voids may develop in the flow.

마커 입자의 또 다른 한계는 수렴 / 발산 흐름이 포함된 영역에서 흐름 프로세스를 따라가는 작업을 잘 수행하지 못한다는 것입니다. 마커는 일반적으로 작은 유체 요소의 중심을 추적하는 것으로 해석됩니다. 그러나 이러한 유체 요소가 길고 복잡한 가닥으로 당겨지면 마커가 더 이상 유체 구성의 좋은 지표가 될 수 없습니다. 예를 들어 마커가 한 방향으로 쌓여 있지만 수직 방향으로 떨어져 있는 흐름 정체 지점에서 볼 수 있습니다. 충분히 분리되면 (즉, 하나의 그리드 셀 너비 이상) 비 물리적 공극이 흐름에서 발생할 수 있습니다.

Surface Marker Method

One way to limit the memory and CPU time consumption of markers is to keep marker particles only on surfaces and not in the interior of fluid regions. Of course, this removes the volume tracking property of the MAC method and requires additional logic to determine when and how surfaces break apart or coalesce.

표면 마커 법

마커의 메모리 및 CPU 시간의 소비를 제한하는 방법 중 하나는 마커 입자를 유체 영역의 내부가 아니라 표면에만 보존하는 것입니다. 물론 이는 MAC 법의 체적 추적 특성이 배제되기 때문에 표면이 분할 또는 합체하는 방식과 시기를 특정하기위한 논리를 추가해야합니다.

In two dimensions the marker particles on a surface can be arranged in a linear order along the surface. This arrangement introduces several advantages, such as being able to maintain a uniform particle spacing and simplifying the computation of intersections between different surfaces. Surface markers also provide a convenient way to locate the surface within a grid cell for the application of boundary conditions.

2 차원의 경우 표면 마커 입자는 표면을 따라 선형으로 배치 할 수 있습니다. 이 배열은 입자의 간격을 균일하게 유지할 수있는 별도의 표면이 교차하는 부분의 계산이 쉽다는 등 몇 가지 장점이 있습니다. 또한 표면 마커를 사용하여 경계 조건을 적용하면 격자 셀의 표면을 간단한 방법으로 찾을 수 있습니다.

Unfortunately, in three-dimensions there is no simple way to order particles on surfaces, and this leads to a major failing of the surface marker technique. Regions may exist where surfaces are expanding and no markers fill the space. Without markers the configuration of the surface is unknown, consequently there is no way to add markers. Reference 1975 contains examples that show the advantages and limitations of this method.

불행히도 3 차원에서는 표면에 입자를 정렬하는 간단한 방법이 없으며 이로 인해 표면 마커 기술이 크게 실패합니다. 표면이 확장되고 마커가 공간을 채우지 않는 영역이 존재할 수 있습니다. 마커가 없으면 표면의 구성을 알 수 없으므로 마커를 추가 할 방법이 없습니다.
참고 문헌 1975이 방법의 장점과 한계를 보여주는 예제가 포함되어 있습니다.

Volume-of-Fluid (VOF) Method

The last method to be discussed is based on the concept of a fluid volume fraction. The idea for this approach originated as a way to have the powerful volume-tracking feature of the MAC method without its large memory and CPU costs.

VOF (Volume-of-Fluid) 법

마지막으로 설명하는 방법은 유체 부피 분율의 개념을 기반으로합니다. 이 접근 방식에 대한 아이디어는 대용량 메모리 및 CPU 비용없이 MAC 방식의 강력한 볼륨 추적 기능을 갖는 방법에서 시작되었습니다.

Within each grid cell (control volume) it is customary to retain only one value for each flow quantity (e.g., pressure, velocity, temperature, etc.) For this reason it makes little sense to retain more information for locating a free surface. Following this reasoning, the use of a single quantity, the fluid volume fraction in each grid cell, is consistent with the resolution of the other flow quantities.

각 격자 셀 (제어 체적) 내에서 각 유량 (예 : 압력, 속도, 온도 등)에 대해 하나의 값만 유지하는 것이 일반적입니다. 이러한 이유로 자유 표면을 찾기 위해 더 많은 정보를 유지하는 것은 거의 의미가 없습니다. 이러한 추론에 따라 각 격자 셀의 유체 부피 분율인 단일 수량의 사용은 다른 유량의 해상도와 일치합니다.

If we know the amount of fluid in each cell it is possible to locate surfaces, as well as determine surface slopes and surface curvatures. Surfaces are easy to locate because they lie in cells partially filled with fluid or between cells full of fluid and cells that have no fluid.

각 셀 내의 유체의 양을 알고 있는 경우, 표면의 위치 뿐만 아니라 표면 경사와 표면 곡률을 결정하는 것이 가능합니다. 표면은 유체 가 부분 충전 된 셀 또는 유체가 전체에 충전 된 셀과 유체가 전혀없는 셀 사이에 존재하기 때문에 쉽게 찾을 수 있습니다.

Slopes and curvatures are computed by using the fluid volume fractions in neighboring cells. It is essential to remember that the volume fraction should be a step function, i.e., having a value of either one or zero. Knowing this, the volume fractions in neighboring cells can then be used to locate the position of fluid (and its slope and curvature) within a particular cell.

경사와 곡률은 인접 셀의 유체 체적 점유율을 사용하여 계산됩니다. 체적 점유율은 계단 함수(step function)이어야 합니다, 즉, 값이 1 또는 0 인 것을 기억하는 것이 중요합니다. 이 것을 안다면, 인접 셀의 부피 점유율을 사용하여 특정 셀 내의 유체의 위치 (및 그 경사와 곡률)을 찾을 수 있습니다.

Free-surface boundary conditions must be applied as in the MAC method, i.e., assigning the proper gas pressure (plus equivalent surface tension pressure) as well as determining what velocity components outside the surface should be used to satisfy a zero shear-stress condition at the surface. In practice, it is sometimes simpler to assign velocity gradients instead of velocity components at surfaces.

자유 표면 경계 조건을 MAC 법과 동일하게 적용해야 합니다. 즉, 적절한 기체 압력 (및 대응하는 표면 장력)을 할당하고, 또한 표면에서 제로 전단 응력을 충족 시키려면 표면 외부의 어떤 속도 성분을 사용할 필요가 있는지를 확인합니다. 사실, 표면에서의 속도 성분 대신 속도 구배를 지정하는 것이보다 쉬울 수 있습니다.

Finally, to compute the time evolution of surfaces, a technique is needed to move volume fractions through a grid in such a way that the step-function nature of the distribution is retained. The basic kinematic equation for fluid fractions is similar to that for the height-function method, where F is the fraction of fluid function:

마지막으로, 표면의 시간 변화를 계산하려면 분포의 계단 함수의 성질이 유지되는 방법으로 격자를 통과하고 부피 점유율을 이동하는 방법이 필요합니다. 유체 점유율의 기본적인 운동학방정식은 높이 함수(height-function) 법과 유사합니다. F는 유체 점유율 함수입니다.

A straightforward numerical approximation cannot be used to model this equation because numerical diffusion and dispersion errors destroy the sharp, step-function nature of the F distribution.

이 방정식을 모델링 할 때 간단한 수치 근사는 사용할 수 없습니다. 수치의 확산과 분산 오류는 F 분포의 명확한 계단 함수(step-function)의 성질이 손상되기 때문입니다.

It is easy to accurately model the solution to this equation in one dimension such that the F distribution retains its zero or one values. Imagine fluid is filling a column of cells from bottom to top. At some instant the fluid interface is in the middle region of a cell whose neighbor below is filled and whose neighbor above is empty. The fluid orientation in the neighboring cells means the interface must be located above the bottom of the cell by an amount equal to the fluid fraction in the cell. Then the computation of how much fluid to move into the empty cell above can be modified to first allow the empty region of the surface-containing cell to fill before transmitting fluid on to the next cell.

F 분포가 0 또는 1의 값을 유지하는 같은 1 차원에서이 방정식의 해를 정확하게 모델링하는 것은 간단합니다. 1 열의 셀에 위에서 아래까지 유체가 충전되는 경우를 상상해보십시오. 어느 순간에 액체 계면은 셀의 중간 영역에 있고, 그 아래쪽의 인접 셀은 충전되어 있고, 상단 인접 셀은 비어 있습니다. 인접 셀 내의 유체의 방향은 계면과 셀의 하단과의 거리가 셀 내의 유체 점유율과 같아야 한다는 것을 의미합니다. 그 다음 먼저 표면을 포함하는 셀의 빈 공간을 충전 한 후 다음 셀로 유체를 보내도록 위쪽의 빈 셀에 이동하는 유체의 양의 계산을 변경할 수 있습니다.

In two or three dimensions a similar procedure of using information from neighboring cells can be used, but it is not possible to be as accurate as in the one-dimensional case. The problem with more than one dimension is that an exact determination of the shape and location of the surface cannot be made. Nevertheless, this technique can be made to work well as evidenced by the large number of successful applications that have been completed using the VOF method. References 1975, 1980, and 1981 should be consulted for the original work on this technique.

2 차원과 3 차원에서 인접 셀의 정보를 사용하는 유사한 절차를 사용할 수 있지만, 1 차원의 경우만큼 정확하게 하는 것은 불가능합니다. 2 차원 이상의 경우의 문제는 표면의 모양과 위치를 정확히 알 수없는 것입니다. 그래도 VOF 법을 사용하여 달성 된 다수의 성공 사례에서 알 수 있듯이 이 방법을 잘 작동시킬 수 있습니다. 이 기법에 관한 초기의 연구 내용은 참고 문헌 1975,1980,1981를 참조하십시오.

The VOF method has lived up to its goal of providing a method that is as powerful as the MAC method without the overhead of that method. Its use of volume tracking as opposed to surface-tracking function means that it is robust enough to handle the breakup and coalescence of fluid masses. Further, because it uses a continuous function it does not suffer from the lack of divisibility that discrete particles exhibit.

VOF 법은 MAC 법만큼 강력한 기술을 오버 헤드없이 제공한다는 목표를 달성 해 왔습니다. 표면 추적이 아닌 부피 추적 기능을 사용하는 것은 유체 질량의 분할과 합체를 처리하는 데 충분한 내구성을 가지고 있다는 것을 의미합니다. 또한 연속 함수를 사용하기 때문에 이산된 입자에서 발생하는 숫자를 나눌 수 없는 문제를 겪지 않게 됩니다.

Variable-Density Approximation to the VOF Method

One feature of the VOF method that requires special treatment is the application of boundary conditions. As a surface moves through a grid, the cells containing fluid continually change, which means that the solution region is also changing. At the free boundaries of this changing region the proper free surface stress conditions must also be applied.

VOF 법의 가변 밀도 근사

VOF 법의 특수 처리가 필요한 기능 중 하나는 경계 조건의 적용입니다. 표면이 격자를 통과하여 이동할 때 유체를 포함하는 셀은 끊임없이 변화합니다. 즉, 계산 영역도 변화하고 있다는 것입니다. 이 변화하고있는 영역의 자유 경계에는 적절한 자유 표면 응력 조건도 적용해야합니다.

Updating the flow region and applying boundary conditions is not a trivial task. For this reason some approximations to the VOF method have been used in which flow is computed in both liquid and gas regions. Typically, this is done by treating the flow as a single fluid having a variable density. The F function is used to define the density. An argument is then made that because the flow equations are solved in both liquid and gas regions there is no need to set interfacial boundary conditions.

유체 영역의 업데이트 및 경계 조건의 적용은 중요한 작업입니다. 따라서 액체와 기체의 두 영역에서 흐름이 계산되는 VOF 법에 약간의 근사가 사용되어 왔습니다. 일반적으로 가변 밀도를 가진 단일 유체로 흐름을 처리함으로써 이루어집니다. 밀도를 정의하려면 F 함수를 사용합니다. 그리고, 흐름 방정식은 액체와 기체의 두 영역에서 계산되기 때문에 계면의 경계 조건을 설정할 필요가 없다는 논증이 이루어집니다.

Unfortunately, this approach does not work very well in practice for two reasons. First, the sensitivity of a gas region to pressure changes is generally much greater than that in liquid regions. This makes it difficult to achieve convergence in the coupled pressure-velocity solution. Sometimes very large CPU times are required with this technique.

공교롭게도 이 방법은 두 가지 이유로 인해 실제로는 그다지 잘 작동하지 않습니다. 하나는 압력의 변화에 대한 기체 영역의 감도가 일반적으로 액체 영역보다 훨씬 큰 것입니다. 따라서 압력 – 속도 결합 해법 수렴을 달성하는 것은 어렵습니다. 이 기술은 필요한 CPU 시간이 매우 커질 수 있습니다.

The second, and more significant, reason is associated with the possibility of a tangential velocity discontinuity at interfaces. Because of their different responses to pressure, gas and liquid velocities at an interface are usually quite different. In the Variable-Density model interfaces are moved with an average velocity, but this often leads to unrealistic movement of the interfaces.

두 번째 더 중요한 이유는 계면에서 접선 속도가 불연속이되는 가능성에 관련이 있습니다. 압력에 대한 반응이 다르기 때문에 계면에서 기체와 액체의 속도는 일반적으로 크게 다릅니다. 가변 밀도 모델은 계면은 평균 속도로 동작하지만, 이는 계면의 움직임이 비현실적으로 되는 경우가 많습니다.

Even though the Variable-Density method is sometimes referred to as a VOF method, because is uses a fraction-of-fluid function, this designation is incorrect. For accurately tracking sharp liquid-gas interfaces it is necessary to actually treat the interface as a discontinuity. This means it is necessary to have a technique to define an interface discontinuity, as well as a way to impose the proper boundary conditions at that interface. It is also necessary to use a special numerical method to track interface motions though a grid without destroying its character as a discontinuity.

가변 밀도 방법은 유체 분율 함수를 사용하기 때문에 VOF 방법이라고도하지만 이것은 올바르지 않습니다. 날카로운 액체-가스 인터페이스를 정확하게 추적하려면 인터페이스를 실제로 불연속으로 처리해야합니다. 즉, 인터페이스 불연속성을 정의하는 기술과 해당 인터페이스에서 적절한 경계 조건을 적용하는 방법이 필요합니다. 또한 불연속성으로 특성을 훼손하지 않고 격자를 통해 인터페이스 동작을 추적하기 위해 특수한 수치 방법을 사용해야합니다.

Summary

A brief discussion of the various techniques used to numerically model free surfaces has been given here with some comments about their relative advantages and disadvantages. Readers should not be surprised to learn that there have been numerous variations of these basic techniques proposed over the years. Probably the most successful of the methods is the VOF technique because of its simplicity and robustness. It is this method, with some refinement, that is used in the FLOW-3D program.

여기에서는 자유 표면을 수치적으로 모델링 할 때 사용하는 다양한 방법에 대해 상대적인 장점과 단점에 대한 설명을 포함하여 쉽게 설명하였습니다. 오랜 세월에 걸쳐 이러한 기본적인 방법이 많이 제안되어 온 것을 알고도 독자 여러분은 놀라지 않을 것입니다. 아마도 가장 성과를 거둔 방법은 간결하고 강력한 VOF 법 입니다. 이 방법에 일부 개량을 더한 것이 현재 FLOW-3D 프로그램에서 사용되고 있습니다.

Attempts to improve the VOF method have centered on better, more accurate, ways to move fluid fractions through a grid. Other developments have attempted to apply the method in connection with body-fitted grids and to employ more than one fluid fraction function in order to model more than one fluid component. A discussion of these developments is beyond the scope of this introduction.

VOF 법의 개선은 더 나은, 더 정확한 방법으로 유체 점유율을 격자를 통과하여 이동하는 것에 중점을 두어 왔습니다. 기타 개발은 물체 적합 격자(body-fitted grids) 관련 기법을 적용하거나 여러 유체 성분을 모델링하기 위해 여러 유체 점유율 함수를 채용하기도 했습니다. 이러한 개발에 대한 논의는 여기에서의 설명 범위를 벗어납니다.

References

1965 Harlow, F.H. and Welch, J.E., Numerical Calculation of Time-Dependent Viscous Incompressible Flow, Phys. Fluids 8, 2182.

1969 Daly, B.J., Numerical Study of the Effect of Surface Tension on Interface Instability, Phys. Fluids 12, 1340.

1970 Hirt, C.W., Cook, J.L. and Butler, T.D., A Lagrangian Method for Calculating the Dynamics of an Incompressible Fluid with Free Surface, J. Comp. Phys. 5, 103.

1971 Nichols, B.D. and Hirt, C.W.,Calculating Three-Dimensional Free Surface Flows in the Vicinity of Submerged and Exposed Structures, J. Comp. Phys. 12, 234.

1974 Hirt, C.W., Amsden, A.A., and Cook, J.L.,An Arbitrary Lagrangian-Eulerian Computing Method for all Flow Speeds, J. Comp. Phys., 14, 227.

1975 Nichols, B.D. and Hirt, C.W., Methods for Calculating Multidimensional, Transient Free Surface Flows Past Bodies, Proc. of the First International Conf. On Num. Ship Hydrodynamics, Gaithersburg, ML, Oct. 20-23.

1980 Nichols, B.D. and Hirt, C.W., Numerical Simulation of BWR Vent-Clearing Hydrodynamics, Nucl. Sci. Eng. 73, 196.

1981 Hirt, C.W. and Nichols, B.D., Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries, J. Comp. Phys. 39, 201.

FLOW-3D What’s New Ver.12.0

FLOW-3D_v12_새기능 다운로드

FLOW-3D v12는 그래픽 사용자 인터페이스 (GUI)의 설계 및 기능에서 매우 큰 변화를 이룬 제품으로 모델 설정을 단순화하고 사용자 워크 플로를 향상시킵니다. 최첨단 Immersed Boundary Method(침수경계 방법)은 FLOW-3D v12 솔루션의 정확성을 높여줍니다. 다른 주요 기능으로는 슬러지 침강 모델, 2-Fluid 2-Temperature 모델 및 Steady State Accelerator가 있으며,이를 통해 사용자는 자유 표면 흐름을 더욱 빠르게 모델링 할 수 있습니다.

Physical and Numerical Model

Immersed boundary method

힘과 에너지 손실에 대한 정확한 예측은 고체 주위의 흐름과 관련된 많은 엔지니어링 문제를 모델링하는 데 중요합니다. 새 릴리스 FLOW-3D v12에는 이러한 문제점 해결을 위해 설계된 새로운 고스트 셀 기반 Immersed Boundary Method (IBM)가 있습니다. IBM은 내 외부 흐름 해석을 위해, 벽 근처에서 보다 정확한 해를 제공하여 드래그 앤 리프트 힘의 계산을 향상시킵니다.힘과 에너지 손실의 정확한 예측은 고체 주위의 흐름을 포함하는 많은 공학적 문제를 모델링 하는데 중요합니다.

Two-field temperature for the two-fluid model

2 유체 열전달 모델은 각 유체에 대한 에너지 전달 방정식을 분리하기 위해 확장되었습니다. 각 유체는 이제 자체 온도 변수를 가지므로 인터페이스 근처의 열 및 물질 전달 솔루션의 정확도가 향상됩니다. 인터페이스에서의 열전달은 이제 시간의 표 함수가 될 수 있는 사용자 정의 열전달 계수에 의해 제어됩니다.

블로그 보기

Sludge settling model

새로운 슬러지 정착 모델은 수처리 애플리케이션에 부가되어 사용자들이 수 처리 탱크와 클래리퍼의 고형 폐기물 역학을 모델링 할 수 있게 해 줍니다. 침전 속도가 분산상의 액적 크기의 함수 인 드리프트-플럭스 모델과 달리, 침전 속도는 슬러지 농도의 함수이며 기능 및 표 형식으로 입력 할 수 있습니다.

개발노트 읽기

Steady-state accelerator for free surface flows

이름에서 알 수 있듯이 정상 상태 가속기는 정상 상태 솔루션에 대한 접근을 빠르게합니다.
이것은 작은 진폭 중력과 모세관 표면파를 감쇠시킴으로써 달성되며 자유 표면 흐름에만 적용 할 수 있습니다.

개발노트 읽기

Void particles

Void particles 가 기포 및 상 변화 모델에 추가되었습니다. Void particles는 붕괴 된 Void 영역을 나타내며, 항력 및 압력을 통해 유체와 상호 작용하는 작은 기포로 작용합니다. 주변 유체 압력에 따라 크기가 변하고 시뮬레이션이 끝날 때의 최종 위치는 공기 유입 가능성을 나타냅니다.

Sediment scour model

퇴적물 수송 및 침식 모델은 정확성과 안정성을 향상시키기 위해 정비되었습니다. 특히 퇴적물 종의 질량 보존이 크게 개선되었습니다.

개발 노트 읽기>

Outflow pressure boundary condition

고정 압력 경계 조건에는 압력 및 유체 분율을 제외한 모든 유량이 해당 경계의 상류의 유량 조건을 반영하는 ‘유출’옵션이 포함됩니다. 유출 압력 경계 조건은 고정 압력 및 연속 경계 조건의 하이브리드입니다.

Moving particle sources

시뮬레이션 중에 입자 소스를 이동할 수 있습니다. 시간에 따른 병진 및 회전 속도는 표 형식으로 정의됩니다. 입자 소스의 운동은 소스에서 방출 된 입자의 초기 속도에 추가됩니다.

Variable center of gravity

기변 무게중심은 중력 및 비관 성 기준 프레임 모델에서, 시간의 함수로서 무게 중심의 위치는 외부 파일에서 테이블로서 정의 될 수있다. 이 기능은 연료를 소비하고 분리 단계를 수행하는 로켓과 같은 모형을 모델링 할 때 유용합니다.

공기 유입 모델

가장 간단한 부피 기반 공기 유입 모델 옵션이 기존 질량 기반 모델로 대체되었습니다. 질량 기반 모델은 부피와 달리 주변 유체 압력에 따라 부피가 변화하는 동안 흡입된 공기량이 보존되기 때문에 물리학적 모델입니다.

Tracer diffusion

유동 표면에서 생성된 추적 물질은 분자 및 난류 확산 과정에 의해 확산될 수 있으며, 예를 들어 실제 오염 물질의 동작을 모방한다.

Model Setup

Simulation units

온도를 포함하여 단위 시스템은 완전히 정의해야하는데 표준 단위 시스템이 제공됩니다. 또한 사용자는 다양한 옵션 중에서 질량, 시간 및 길이 단위를 정의 할 수 있으므로 사용자 정의가 가능한 편리한 단위를 사용할 수 있습니다. 사용자는 압력이 게이지 또는 절대 단위로 정의되는지 여부도 지정해야합니다. 기본 시뮬레이션 단위는 기본 설정에서 설정할 수 있습니다. 단위를 완전히 정의하면 FLOW-3D 가 물리량의 기본값을 정의하고 범용 상수를 설정하여 사용자가 요구하는 작업량을 최소화 할 수 있습니다.

Shallow water model

Manning’s roughness in shallow water model

Manning의 거칠기 계수는 지형 표면의 전단 응력 평가를 위해 천수(shallow water) 모델에서 구현되었습니다. 표면 결함의 크기를 기반으로 기존 거칠기 모델을 보완하며 이 모델과 함께 사용할 수 있습니다. 표준 거칠기와 마찬가지로 매닝 계수는 구성 요소 또는 하위 구성 요소의 속성이거나 지형 래스터 데이터 세트에서 가져올 수 있습니다.

Mesh generation

하단 및 상단 경계 좌표의 정의만으로 수직 방향의 메시 설정이 단순화되었습니다.

Component transformations

사용자는 이제 여러 하위 구성 요소로 구성된 구성 요소에 회전, 변환 및 스케일링 변환을 적용하여 복잡한 형상 어셈블리 설정 프로세스를 단순화 할 수 있습니다. GMO (General Moving Object) 구성 요소의 경우, 이러한 변환을 구성 요소의 대칭 축과 정렬되도록 신체에 맞는 좌표계에 적용 할 수 있습니다.

Changing the number of threads at runtime

시뮬레이션 중에 솔버가 사용하는 스레드 수를 변경하는 기능이 런타임 옵션 대화 상자에 추가되어 사용 가능한 스레드를 추가하거나 다른 태스크에 자원이 필요한 경우 스레드 수를 줄일 수 있습니다.

Probe-controlled heat sources

활성 시뮬레이션 제어가 형상 구성 요소와 관련된 heat sources로 확장되었습니다. 히스토리 프로브로 열 방출을 제어 할 수 있습니다.

Time-dependent temperature at sources

질량 및 질량 / 운동량 소스의 유체 온도는 이제 테이블 입력을 사용하여 시간의 함수로 정의 할 수 있습니다.

Emissivity coefficients

공극으로의 복사 열 전달을위한 방사율 계수는 이제 사용자가 방사율과 스테판-볼츠만 상수를 지정하도록 요구하지 않고 직접 정의됩니다. 후자는 이제 단위 시스템을 기반으로 솔버에 의해 자동으로 설정됩니다.

Output

등속 필드 솔버 옵션을 사용할 때 유량 속도를 선택한 데이터 로 출력 할 수 있습니다 .
벽 접착력으로 인한 지오메트리 구성 요소의 토크 는 기존 벽 접착력의 출력 외에도 일반 이력 데이터에 별도의 수량으로 출력됩니다.
난류 모델 출력이 요청 될 때 난류 에너지 및 소산과 함께 전단 속도 및 y +가 선택된 데이터로 자동 출력됩니다 .
공기 유입 모델 출력에 몇 가지 수량이 추가되었습니다. 자유 표면을 포함하는 모든 셀에서 혼입 된 공기 및 빠져 나가는 공기의 체적 플럭스가 재시작 및 선택된 데이터로 출력되어 사용자에게 공기가 혼입 및 탈선되는 위치 및 시간에 대한 자세한 정보를 제공합니다. 전체 계산 영역 및 각 샘플링 볼륨 에 대해이 두 수량의 시간 및 공간 통합 등가물 이 일반 히스토리 로 출력됩니다.
솔버의 출력 파일 flsgrf 의 최종 크기 는 시뮬레이션이 끝날 때보 고됩니다.
2 유체 시뮬레이션의 경우, 기존의 출력 수량 유체 체류 시간 및 유체 가 이동 한 거리는 이제 유체 # 1 및 # 2와 유체의 혼합물에 대해 별도로 계산됩니다.
질량 입자의 경우 각 종의 총 부피와 질량이 계산되어 전체 계산 영역, 샘플링 볼륨 및 플럭스 표면에 대한 일반 히스토리 로 출력되어 입자 종 수에 대한 현재 출력을 보완합니다.
예를 들어 사용자가 가스 미순환을 식별하고 연료 탱크의 환기 시스템을 설계하는 데 도움이 되도록 마지막 국부적 가스 압력이 옵션 출력량으로 추가되었습니다. 이 양은 유체가 채워지기 전에 셀의 마지막 간극 압력을 기록하며, 단열 버블 모델과 함께 사용됩니다.

New Customizable Source Routines

사용자 정의 가능한 새로운 소스 루틴이 추가되었으며 사용자의 개발 환경에서 액세스 할 수 있습니다.

소스 루틴 이름	설명
cav_prod_cal	캐비 테이션 생산 및 확산 속도
sldg_uset	슬러지 정착 속도
phchg_mass_flux	증발 및 응축에 의한 질량 흐름
flhtccl	유체#1과#2사이의 열 전달 계수
dsize_cal	2상 유동에서의 동적 낙하 크기 모델의 충돌 및 이탈율
elstc_custom.	점탄성 유체에 대한 응력 방정식의 소스 용어

Brand New User Interface

FLOW-3D의 사용자 인터페이스가 완전히 재설계되어 사용자의 작업 흐름을 획기적으로 간소화하는 최신의 타일 구조를 제공합니다.

Dock widgets 설정

Physics, Fluids, Mesh 및 FAVOR ™를 포함한 모든 설정 작업이 형상 창 주위의 dock widgets으로 변환되어 모델 설정을 단일 탭으로 압축 할 수 있습니다. 이 전환을 통해 이전 버전의 복잡한 트리가 훨씬 깔끔하고 효율적인 메뉴 표시로 바뀌어 모델 설정 탭을 떠나지 않고도 모든 매개 변수에 쉽게 액세스 할 수 있습니다.

New Model Setup icons
With our new Model Setup design comes new icons, representing each step of the setup process.

New Physics icons
Our Physics icons are designed to be easily differentiated from one another at a glance, while providing clear visual representation of each model’s purpose and use.

RSS feed

새 RSS 피드부터 FLOW-3D v12.0 의 시뮬레이션 관리자 탭이 개선되었습니다 . FLOW-3D 를 시작하면 사용자에게 Flow Science의 최신 뉴스, 이벤트 및 블로그 게시물이 표시됩니다.

Configurable simulation monitor

시뮬레이션을 실행할 때 중요한 작업은 모니터링입니다. FLOW-3Dv12.0에서는 사용자가 시뮬레이션을 더 잘 모니터링할 수 있도록 Simulation Manager의 플로팅 기능이 향상되었습니다. 사용자는 시뮬레이션 런타임 그래프를 통해 모니터링할 사용 가능한 모든 일반 기록 데이터 변수를 선택하고 각 그래프에 여러 변수를 추가할 수 있습니다. 이제 런타임에서 사용할 수 있는 일반 기록 데이터는 다음과 같습니다.

최소/최대 유체 온도
프로브 위치의 온도
유동 표면 위치에서의 유량
시뮬레이션 진단(예:시간 단계, 안정성 한계)

*Runtime plots of the flow rate at the gates of the large dam* / *Large dam with flux surfaces at the gates*

Conforming mesh visualization

사용자는 이제 새로운 FAVOR ™ 독 위젯을 통해 적합한 메쉬 블록을 시각화 할 수 있습니다 .

Large raster and STL data

데이터를 처리하는 데 걸리는 시간으로 인해 큰 형상 데이터를 처리하는 것은 어려울 수 있습니다. 대형 지오메트리 데이터를 처리하는 데 여전히 상당한 시간이 소요될 수 있지만 FLOW-3D는 이제 이러한 대형 데이터 세트를 백그라운드 작업으로로드하여 사용자가 데이터를 처리하는 동안 완벽하게 응답하고 중단없는 인터페이스에서 계속 작업 할 수 있습니다.

FLOW-3D 교육 안내

HIGH-END TOP CLASS
FLOW-3D CFD EDUCATION

(주)에스티아이씨앤디에서는 FLOW-3D 제품군의 사용자 교육을 지원하고 있습니다. 홈페이지에 안내되어 있는 교육 일정과 교육신청 절차를 참고하시어 교육을 받으실 수 있습니다.

FLOW-3D 분야별 교육 과정 안내

교육 과정명 : 수리 분야

댐, 하천의 여수로, 수문 등 구조물 설계 및 방류, 월류 등 흐름 검토를 하기 위한 유동 해석 방법을 소개하는 교육 과정입니다. 유입 조건(수위, 유량 등)과 유출 조건에 따른 방류량 및 유속, 압력 분포 등 유체의 흐름을 검토를 할 수 있도록 관련 예제를 통해 적절한 기능을 습득하실 수 있습니다.

교육 과정명 : 수처리 분야

정수처리 및 하수처리 공정에서 각 시설물들의 특성에 맞는 최적 운영조건 검토 및 설계 검토을 위한 유동해석 방법을 소개하는 교육 과정입니다. 취수부터 시작하여 혼화지, 분배수로, 응집지, 침전지, 여과지, 정수지, 협기조, 호기조, 소독조 등 각 공정별 유동 특성을 검토하기 위한 해석 모델을 설정하는 방법에 대해 알려드립니다.

교육 과정명 : 주조 분야

주조 분야 사용자들이 쉽게 접근할 수 있도록 각 공정별로 해석 절차 및 해석 방법을 소개하는 교육 과정입니다. 고압다이캐스팅, 저압다이캐스팅, 경동주조, 중력주조, 원심주조, 정밀주조 등 주조 공법 별 관련 예제를 통해 적절한 기능들을 습득할 수 있도록 도와 드립니다.

교육 과정명 : Micro/Bio/Nano Fluidics 분야

점성력 및 모세관력 같은 유체 표면에 작용하는 힘이 지배적인 미세 유동의 특성을 정확하게 표현할 수 있는 해석 방법에 대해 소개하는 교육 과정입니다. 열적, 전기적 물리 현상을 구현할 수 있도록 관련 예제와 함께 해석 방법을 알려드립니다.

교육 과정명 : 코팅 분야 과정

코팅 공정에 따른 코팅액의 두께, 균일도, 유동 특성 분석을 위한 해석 방법을 소개하는 교육 과정입니다. Slide coating, Dip coating, Spin coating, Curtain coating, Slot coating, Roll coating, Gravure coating 등 각 공정별 예제와 함께 적절한 기능을 습득하실 수 있도록 도와 드립니다.

교육 과정명 : 레이저 용접 분야

레이저 용접 해석을 하기 위한 물리 모델과 용접 조건들을 설정하는 방법에 대해 소개하는 교육 과정입니다. 해석을 통해 용접 공정을 최적화할 수 있도록 관련 예제와 함께 적절한 기능들을 습득할 수 있도록 도와 드립니다.

교육 과정명 : 3D프린팅 분야 과정

Powder Bed Fusion(PBF)와 Directed Energy Deposition(DED) 공정에 대한 해석 방법을 소개하는 교육 과정입니다. 파우더 적층 및 레이저 빔을 조사하면서 동시에 금속 파우더 용융지가 적층되는 공정을 해석하는 방법을 관련 예제와 함께 습득하실 수 있습니다.

교육 과정명 : 해양/항만 분야

해안, 항만, 해양 구조물에 대한 파랑의 영향 및 유체의 수위, 유속, 압력의 영향을 예측할 수 있는 해석 방법을 소개하는 과정입니다. 항주파, 슬로싱, 계류 등 해안, 해양, 에너지, 플랜트 분야 구조물 설계 및 검토에 필요한 유동해석을 하실 수 있는 방법을 알려드립니다. 각 현상에 대한 적절한 예제를 통해 기능을 습득하실 수 있습니다.

교육 과정명 : 우주/항공 분야

항공기 및 우주선의 연료 탱크와 추진체 관리장치의 내부 유동, 엔진 및 터빈 노즐 내부의 유동해석을 하실 수 있도록 관련 메뉴에 대한 설명, 설정 방법을 소개하는 과정입니다. 경계조건 설정, Mesh 방법 등 유동해석을 위한 기본적인 내용과 함께 관련 예제를 통해 기능들을 습득하실 수 있습니다.

고객 맞춤형 과정

상기 과정 이외의 경우 고객의 사업 업무 환경에 적합한 사례를 중심으로 맞춤형 교육을 실시합니다. 필요하신 부분이 있으시면 언제든지 교육 담당자에게 연락하여 협의해 주시기 바랍니다.

고객센터 및 교육 담당자

전화 : 02)2026-0450, 02)2026-0455
이메일 : flow3d@stikorea.co.kr

교육 일정 안내

교육은 매월 정해진 일정에 시행되는 정기 교육과 고객의 요청에 의해 시행되는 비정기 교육이 있습니다. 비정기 교육은 별도문의 바랍니다.

1. 연간교육 일정

FLOW-3D 연간 교육일정표 다운로드 (Excel File)

2. 교육 내용 : FLOW-3D Basic

FLOW-3D 소개 및 이론
- FLOW-3D 소개 – 연혁, 특징 등
- FLOW-3D 기본 개념
  - VOF
  - FAVOR
- 해석사례 리뷰
GUI 소개 및 사용법
- 해석 모델 작성법 – 물리 모델 설정
  - 모델 형상 정의
  - 격자 분할
  - 초기 유체 지정
  - 경계 조건 설정
- 해석 결과 분석 방법 – 해석 모델 설명
해석 모델 작성 실습
- 해석 모델 작성 실습 – 격자 분할
  - 물리 모델 설정
  - 모델 형상 및 초기 조건 정의
  - 경계 조건 설정
  - 해석 과정 모니터링
  - 해석 결과 분석
- 질의 응답 및 토의

3. 교육 과정 : FLOW-3D Advanced

Physics Ⅰ
- Density evaluation
- Drift flux
- Scalars
- Sediment scour
- Shallow water
Physics Ⅱ
- Gravity and non-inertial reference frame
- Heat transfer
- Moving objects
- Solidification
FLOW-3D POST (Post-processor)
- FLOW-3D POST 소개
- Interface Basics
- 예제 실습

FLOW-3D 교육 신청 방법 안내

교육 신청은 홈페이지의 교육 신청 창에서 최소 3일 전에 신청합니다.
모든 교육과정은 신청 인원이 2인 이상일때 개설되며, 선착순 마감입니다.
교육 신청을 완료하시면, 신청시 입력하신 메일주소로 교육 담당자가 확인 메일을 보내드립니다.
교육 시간은 Basic : 오전10시~오후5시, Advanced : 오후1시30분~오후5시30분까지입니다.
교육비 안내
- FLOW-3D, FLOW-3D CAST, FLOW-3D HYDRO Basic (2일) : 기업 66만원, 학생 55만원
- FLOW-3D WELD/AM Basic 레이저용접, 3D 프린팅(2일) : 기업 88만원, 학생 66만원
- FLOW-3D Advanced (1일) : 기업 33만원, 학생 25만원
- 상기 가격은 부가세 포함 가격입니다.
교육비는 현금(계좌이체)로 납부 가능하며, 교재 및 중식이 제공됩니다.
세금계산서 발급을 위해 사업자등록증 또는 신분증 사본을 함께 첨부하여 신청해 주시기 바랍니다.
교육 종료 후 이메일로 수료증이 발급됩니다.

FLOW-3D 교육 신청 바로가기

고객센터 및 교육 담당자

전화 : 02)2026-0450, 02)2026-0455
이메일 : flow3d@stikorea.co.kr

교육 장소 안내

지하철 1호선/가산디지털단지역 (8번출구), 지하철 7호선/가산디지털단지역 (5번출구)
우림라이온스밸리 B동 302호 또는 교육장
당사 건물에 주차할 경우 무료 주차 1시간만 지원되오니, 가능하면 대중교통을 이용해 주시기 바랍니다.

오시는 길

Products

What's New in FLOW-3D 2023R2

What's New in FLOW-3D HYDRO 2023R2

What's New in FLOW-3D CAST 2023R2

What's New in FLOW-3D POST 2023R2

FLOW-3D WELD

FLOW-3D AM

FLOW-3D 제품 소개

STI C&D 에서 공급하는 CFD 프로그램은 미국 Flow Science 에서 개발된 FLOW-3D solver 를 기반으로 한 매우 강력하고 정확한 열유동 수치해석 프로그램 입니다. 귀하의 업무에 적합한 제품군을 찾고자 하시면 당사의 솔루션팀으로 문의 주시기 바랍니다.

FLOW-3D 는 유체의 동적 거동을 연구하는 개발 및 설계 엔지니어에게 꼭 필요한 유동 시뮬레이션 솔루션을 제공합니다. FLOW-3D는 1, 2, 3차원의 자유 표면 해석, 시간에 따른 유체의 유동해석, 제한된 유체의 흐름, 정상 상태의 문제들을 완벽하게 해결 할 수 있습니다.

FLOW-3D HYDRO는 토목 및 환경 엔지니어링 산업을 위한 완벽한 3D CFD 모델링 솔루션입니다. FLOW-3D HYDRO는 토목 또는 환경 엔지니어의 요구에 맞는 확장된 교육 자료를 제공합니다. 업계 최고의 FLOW-3D 솔버 엔진으로 구동되는 FLOW-3D HYDRO는 수처리, 광산 광미, 다상 흐름 및 천수(shallow water) 모델에 대한 지속적인 개발과 함께 사용자에게 탁월한 시뮬레이션 기능을 제공합니다.

FLOW-3D/CAST 는 금속 주조 공정 시뮬레이션을 위해 특별히 설계된 FLOW-3D의 특별 버전입니다. 본 제품은 FLOW-3D의 강력한 해석기능을 주조분야 설계자가 쉽게 사용할 수 있는 쉬운 인터페이스를 제공합니다.

FLOW-3D HPC 는 흔히 슈퍼컴퓨터 또는 클러스터 컴퓨터를 이용하여 고성능 컴퓨팅(HPC, High-Performance Computing)을 할 수 있는 제품으로 대규모 또는 장시간 계산이 필요한 문제를 효과적으로 해결할 수 있도록 뛰어난 성능을 제공합니다. FLOW-3D HPC 는 초대형 컴퓨팅 시스템부터 조립 클러스터까지 쉽게 고성능 컴퓨팅 클러스터를 활용할 수 있습니다.

FLOW Weld 는 용접 해석에 필요한 모델을 FLOW-3D 에 추가하는 추가 모듈입니다. FLOW-3D 표면 장력 자유 표면 분석, 용융 · 응고 · 증발 상 변화 모델 등의 기본 기능을 응용하여 각종 용접 현상을 분석 할 수 있습니다.

FLOW-3D AM 은 레이저 파우더 베드 융합 (L-PBF), 바인더 제트 및 DED (Directed Energy Deposition)와 같은 적층 제조 공정 ( additive manufacturing )을 시뮬레이션하고 분석하는 CFD 소프트웨어입니다. FLOW-3D AM 의 다중 물리 기능은 공정 매개 변수의 분석 및 최적화를 위해 분말 확산 및 압축, 용융 풀 역학, L-PBF 및 DED에 대한 다공성 형성, 바인더 분사 공정을위한 수지 침투 및 확산에 대한 매우 정확한 시뮬레이션을 제공합니다.

<제품 브로셔 다운로드>

수력 경계 조건 / Hydraulic Boundary Conditions

Hydraulic Boundary Conditions

하천이나 강의 도달 범위(river reach)를 수치로 모델링하는 것은 여전히 어려운 일입니다. 주요 과제 중 하나는 실제 모델에 적합한 수력 경계 조건(Hydraulic Boundary Conditions)을 정의하는 방법입니다. CFD 엔지니어들이 실무에 적용하는 일반적인 방법은 선택한 단면의 강에서 유체 높이 및 체적 유량 또는 배출량과 관련된 등급 곡선을 사용합니다. 이러한 데이터를 FLOW-3D에서 사용자에게 제공하기 위해 최근에 새로운 평가 곡선 경계 조건이 개발되었습니다. 이 조건의 추가로 이제 CFD분야 중 강이나 하천 관련 업무를 수행하는 엔지니어는 관심있는 여러 유형의 흐름을 보다 쉽게 모델링 할 수 있습니다. 예를 들면 다음과 같습니다.

수력 구조물 설계를위한 홍수 웨이브 시뮬레이션 (3D 모델)
강 유역 또는 전체 유역의 홍수 시뮬레이션 (2D 천수(shallow water) 모델)
“순수 방전”조건은 게이지 데이터를 사용할 수 없고 체적 유량(시간에 따라 달라짐) 만 알려진 경계 조건 설정으로 가능합니다.

새로운 경계 조건은 유동 개발을 위한 추가 모델링 공간이 필요하지 않으므로 입구 경계에서 속도 프로파일이 필요한 다른 응용 분야에 유용합니다.

The Rating-Curve Boundary Condition

등급 곡선은 유체 상승과 강의 방류 흐름과 관련된 단면 하천 특성입니다. 등급-곡선 경계 조건을 사용하면 입구 및 출구 경계 유형 모두에 대한 등급 곡선을 지정할 수 있습니다. 등급 곡선 조건은 시간 의존적인 “볼륨 유량” 경계 조건과 함께 정의할 수 있습니다. 따라서 시간에 의존하는 유체 표고 데이터를 수동으로 입력할 필요가 없으므로 홍수 파동 시나리오를 보다 편리하게 모델링할 수 있습니다. 유출구에 등급 곡선 BC를 사용하면 유출구에 시간 의존적인 압력을 더 이상 지정할 필요가 없습니다. 등급 곡선은 항상 경계에 통합된 시뮬레이션된 볼륨 유량에 해당하는 유체 고도를 제공합니다. 이를 통해 사용자는 자유 표면 표고에 대한 파동 변형 관련 출구 경계 조건을 가질 수 있습니다.

FLOW-3D 는 500 개 이상의 데이터 포인트가 입력 정보로 지정된 외부 파일을 읽을 수 있습니다. 이를 통해 임의의 하천 프로파일에 대해 매우 정확한 레이팅 커브를 입력 할 수 있습니다.

이 비디오는 홍수파 시뮬레이션의 예를 보여줍니다. 입구 경계 조건에는 사고 홍수 파와 관련된 초임계 흐름을 생성하는 등급 곡선이 있습니다. 출구에는 하위 임계 흐름에 대한 등급 곡선 경계 조건이 있습니다. 이러한 경계 조건의 조합은 시간 의존적인 홍수파와 함께 모델링된 도메인에서 유압 점프를 형성합니다. 네 개의 차트는 변화하는 볼륨 유량에 해당하는 경계에서 유체 표고의 변화를 보여 줍니다.

The Volume Flow Rate Boundary Condition

하천의 유속만 입구 경계에서 알 수 있고, 유체 수위정보에 대한 정보를 사용할 수 없는 경우 새로운 경계 유형인 유출만이 유입구에 대해 선택 될 수 있습니다. 그런 다음 FLOW-3D 는 입구 경계 영역에 인접한 영역의 유동 상황에 따라 유체 표고를 설정합니다. 사용자가 제공해야하는 유일한 입력은 볼륨 배출 속도 (시간에 따라 다름)에 따라 최소 유체 상승입니다. 최소 유체 표고는 예를 들어 유동이 아 임계에서 초 임계 정으로 변경되는 것을 방지하는 방법으로 사용됩니다.

이 비디오는 유입구 경계가 하위 임계 볼륨 유량으로 변경되었다는 점을 제외하고 이전 비디오와 동일한 설정을 보여 줍니다. 유입구가 더 이상 초임계 흐름을 강제하지 않기 때문에 모델링된 도메인은 전체에서 하위임계 흐름 상태를 유지합니다.

The Inlet Profile Boundary Condition / 입구 단면 경계 조건

새로 구현된 모든 경계 조건에는 경계 조건 면에 걸쳐 균일한 속도 프로파일이 있습니다. “프로파일 개발 길이”를 줄이는 것이 세 번째 유형의 유압 경계 조건인 유입구 프로파일의 목표입니다. 자연 유입구의 경우 FLOW-3D는 경계에 있는 수심을 도메인 내부의 인접 메쉬 셀과 동일하게 자동 설정합니다. 이렇게 하면 입구 경계 부근의 수위 상승이 방지되고, 물 표면이 영역 내에서 상승할 때 입구의 수면이 상승할 수 있습니다(또는 그 반대).

직사각형 flume에서 완전히 발달된 흐름의 횡단면도

조선/해양 분야

Coastal & Maritime

FLOW-3D 는 선박설계, 슬로싱 동역학, 파도에 미치는 영향 및 환기를 포함하여 해안 및 해양 관련 분야에 사용할 수 있는 이상적인 소프트웨어입니다.

자유 표면 유체 역학, 파동 생성, 움직이는 물체, 계선 및 용접 공정과 관련한 FLOW-3D 의 기능은 해양 및 해양 산업에서 CFD 공정을 모델링하는 데 매우 적합한 도구입니다. 해안 응용 분야의 경우 FLOW-3D 해안 응용 분야의 경우 FLOW-3D 는 해안 구조물에 대한 심한 폭풍 및 쓰나미 파동의 세부 사항을 정확하게 예측하고 돌발 홍수 및 중요 구조물 홍수 및 피해 분석에 사용됩니다. 기능은 다음과 같습니다.

자유 표면 – 파동 유체 역학 및 오버 토핑 : 규칙 및 불규칙파 및 파동 스펙트럼 (Pierson Moskowitz, JONSWAP)
Seakeeping – slamming, planing, porpoising 및 선체 선체 변위 : 완전히 결합된 선박 및 수중 차량 유체 역학
선체 – Resistance, stability and dynamics: surging, heaving, pitching and rolling motion (response amplitude operators or RAOs)
슬로싱 – LNG / 밸러스트 탱크
해양 공학 – 파동 에너지 변환기

해안 응용 분야의 경우, FLOW-3D 는 강력한 폭풍과 쓰나미 현상에 의한 해안 구조물이 받는 영향에 대한 세부 사항 예측, 돌발 홍수에 의한 중요한 시설물에 대한 정확한 피해 분석 등을 위해 사용됩니다.

Mooring Lines, Springs and Ropes

FLOW-3D (계류선 및 스프링 등)의 특수 물체를 다른 움직이는 물체에 부착하면 엔지니어가 선박 런칭, 부유 장애물 역학, 부표, 파도에너지 변환기 등을 정확하게 포착할 수 있습니다.

Welding

FLOW-3D 용접 모듈이 추가되면서 조선업계의 용접분야에서는 다공성 등 용접 결함을 최소화할 수 있어 선체의 품질을 크게 높이는 동시에 생산 시간을 최적화할 수 있습니다.

Coastal & Maritime Case Studies

FLOW-3D 사용자들은 연약한 해안선 보호, 구조물에 대한 파장 시뮬레이션, 선체 설계 최적화, 선박 내 환기 연구 등 해안 및 해양 애플리케이션에 FLOW-3D를 사용합니다.

우리는 보트가 세계 항해를 하면서 마주칠 것 같은 다양한 조건에서 항해를 할 수 있는지를 볼 수 있었습니다. 그리고 속도뿐만 아니라 연료 효율과 안전도 고려하도록 설계를 수정할 수 있었습니다.
– Pete Bethune, skipper of Earthrace

Lateral wave impact in water — Validation of Sloshing Simulations in Narrow Tanks / Aerial Landslide Generated Wave Simulations / Earthrace: Speed, Fuel Efficiency and Safety

Wave results — Validation of Sloshing Simulations in Narrow Tanks / Aerial Landslide Generated Wave Simulations / Earthrace: Speed, Fuel Efficiency and Safety

기타

Bibliography

Development of Wave Power Generation Device with Resonance Channels
Models with all the Right Curves
Rubble Mound Breakwater: Run-Up, Reflection and Overtopping by Numerical 3D Simulation
Access the FLOW-3D Bibliography

Models

Hybrid Shallow Water/3D Flow
Moving Objects
Sediment Scour
More Modeling Capabilities

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Non-Equilibrium Scour Evolution around an Emerged Structure Exposed to a Transient Wave

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FLOW-3D 제품소개

About FLOW-3D

FLOW-3D 개발 회사


Industry	Computational Fluid Dynamics Software
Founded	1980
Founder	Dr. C.W. “Tony” Hirt
Headquarters	Santa Fe, New Mexico, USA United States
Key people	Dr. Amir Isfahani, President & CEO
Products	FLOW-3D, FLOW-3D CAST, FLOW-3D AM, FLOW-3D CLOUD, FlowSight
Services	CFD consultation and services

FLOW-3D 개요

FLOW-3D는 미국 뉴멕시코주(New Mexico) 로스알라모스(Los Alamos)에 있는 Flow Scicence, Inc에서 개발한 범용 전산유체역학(Computational Fluid Dynamics) 프로그램입니다. 로스알라모스 국립연구소의 수치유체역학 연구실에서 F.Harlow, B. Nichols 및 T.Hirt 등에 의해 개발된 MAC(Marker and Cell) 방법과 SOLA-VOF 방식을 기초로 하여, Hirt 박사가 1980년에 Flow Science, Inc사를 설립하여 계속 프로그램을 발전시켰으며 1985년부터 FLOW-3D를 전세계에 배포하였습니다.

유체의 3차원 거동 해석을 수행하는데 사용되는 CFD모형은 몇몇 있으나, 유동해석에 적용할 물리모델 선정은 해석의 정밀도와 밀접한 관계가 있으므로, 해석하고자 하는 대상의 유동 특성을 분석하여 신중하게 결정하여야 합니다.

FLOW-3D는 자유표면(Free Surface) 해석에 있어서 매우 정확한 해석 결과를 제공합니다. 해석방법은 자유표면을 포함한 비정상 유동 상태를 기본으로 하며, 연속방정식, 3차원 운동량 보전방정식(Navier-Stokes eq.) 및 에너지 보존방정식 등을 적용할 수 있습니다.

FLOW-3D는 유한차분법을 사용하고 있으며, 유한요소법(FEM, Finite Element Method), 경계요소법(Boundary Element Method)등을 포함하여 자유표면을 포함하는 유동장 해석(Fluid Flow Analysis)에서 공기와 액체의 경계면을 정밀하게 표현 가능합니다.

유체의 난류 해석에 대해서는 혼합길이 모형, 난류 에너지 모형, RNG(Renormalized Group Theory) k-ε 모형, k-ω 모형, LES 모형 등 6개 모형을 적용할 수 있으며, 자유표면 해석을 위하여 VOF(Volume of Fluid) 방정식을 사용하고, 격자 생성시 사용자가 가장 쉽게 만들 수 있는 직각형상격자는 형상을 더욱 정확하게 표현하기 위해 FAVOR(Fractional Area Volume Obstacle Representation) 기법을 각 방정식에 적용하고 있습니다.

FLOW-3D는 비압축성(Incompressible Fluid Flow), 압축성 유체(Compressible Fluid Flow)의 유동현상 뿐만 아니라 고체와의 열전달 현상을 해석할 수 있으며, 비정상 상태의 해석을 기본으로 합니다.

FLOW-3D v12.0은 모델 설정을 간소화하고 사용자 워크 플로우를 개선하는 GUI(그래픽 사용자 인터페이스)의 설계 및 기능에 있어 중요한 변화를 가져왔습니다. 최첨단 Immersed Boundary Method는 FLOW-3Dv12.0솔루션의 정확도를 높여 줍니다. 다른 특징적인 주요 개발에는 슬러지 안착 모델, 2-유체 2-온도 모델, 사용자가 자유 표면 흐름을 훨씬 더 빠르게 모델링 할 수 있는 Steady State Accelerator등이 있습니다.

물리 및 수치 모델

Immersed Boundary Method

힘과 에너지 손실에 대한 정확한 예측은 솔리드 바디 주변의 흐름과 관련된 많은 엔지니어링 문제를 모델링하는 데 중요합니다. FLOW-3D v12.0의 릴리스에는 이러한 문제 해결을 위해 설계된 새로운 고스트 셀 기반 Immersed Boundary Method (IBM)가 포함되어 있습니다. IBM은 내부 및 외부 흐름을 위해 벽 근처 해석을 위해 보다 정확한 솔루션을 제공하여 드래그 앤 리프트 힘의 계산을 개선합니다.

Two-field temperature for the two-fluid model

2유체 열 전달 모델은 각 유체에 대한 에너지 전달 공식을 분리하도록 확장되었습니다. 이제 각 유체에는 고유한 온도 변수가 있어 인터페이스 근처의 열 및 물질 전달 솔루션의 정확도를 향상시킵니다. 인터페이스에서의 열 전달은 시간의 표 함수가 될 수 있는 사용자 정의 열 전달 계수에 의해 제어됩니다.

슬러지 침전 모델 / Sludge settling model

중요 추가 기능인 새로운 슬러지 침전 모델은 도시 수처리 시설물 응용 분야에 사용하면 수처리 탱크 및 정화기의 고형 폐기물 역학을 모델링 할 수 있습니다. 침전 속도가 확산된 위상의 방울 크기에 대한 함수인 드리프트-플럭스 모델과 달리, 침전 속도는 슬러지 농도의 함수이며 기능적인 형태와 표 형태로 모두 입력 할 수 있습니다.

Steady-state accelerator for free surface flows

이름이 암시하듯이, 정상 상태 가속기는 안정된 상태의 솔루션에 대한 접근을 가속화합니다. 이는 작은 진폭의 중력과 모세관 현상을 감쇠하여 이루어지며 자유 표면 흐름에만 적용됩니다.

Void particles

보이드 입자가 버블 및 위상 변경 모델에 추가되었습니다. 보이드 입자는 항력과 압력 힘을 통해 유체와 상호 작용하는 작은 기포의 역할을 하는 붕괴된 보이드 영역을 나타냅니다. 주변 유체 압력에 따라 크기가 변경되고 시뮬레이션이 끝난 후 최종 위치는 공기 침투 가능성을 나타냅니다.

Sediment scour model

침전물의 정확성과 안정성을 향상시키기 위해 침전물의 운반과 침식 모델을 정밀 조사하였다. 특히, 침전물 종에 대한 질량 보존이 크게 개선되었습니다.

Outflow pressure boundary condition

고정 압력 경계 조건에는 이제 압력 및 유체 비율을 제외한 모든 유량이 해당 경계의 상류에 있는 흐름 조건을 반영하는 ‘유출’ 옵션이 포함됩니다. 유출 압력 경계 조건은 고정 압력 및 연속성 경계 조건의 혼합입니다.

Moving particle sources

시뮬레이션 중에 입자 소스는 이동할 수 있습니다. 시간에 따른 변환 및 회전 속도는 표 형식으로 정의됩니다. 입자 소스의 운동은 소스에서 방출 된 입자의 초기 속도에 추가됩니다.

Variable center of gravity

중력 및 비 관성 기준 프레임 모델에서 시간 함수로서의 무게 중심의 위치는 외부 파일의 표로 정의할 수 있습니다. 이 기능은 연료를 소모하는 로켓을 모델링하고 단계를 분리할 때 유용합니다.

공기 유입 모델

Tracer diffusion / 트레이서 확산

유동 표면에서 생성된 추적 물질은 분자 및 난류 확산 과정에 의해 확산될 수 있으며, 예를 들어 실제 오염 물질의 거동을 모방합니다.

모델 설정

시뮬레이션 단위

이제 온도를 포함하여 단위계 시스템을 완전히 정의해야 합니다. 표준 단위 시스템이 제공됩니다. 또한 사용자는 선택한 옵션에서 질량, 시간 및 길이 단위를 정의하여 편리하며, 사용자 정의된 단위를 사용할 수 있습니다. 사용자는 또한 압력이 게이지 단위로 정의되는지 절대 단위로 정의되는지 여부를 지정해야 합니다. 기본 시뮬레이션 단위는 Preferences(기본 설정)에서 설정할 수 있습니다. 단위를 완벽하게 정의하면 FLOW-3D는 물리적 수량에 대한 기본 값을 정의하고 범용 상수를 설정할 수 있으므로 사용자가 필요로 하는 작업량을 최소화할 수 있습니다.

Shallow water model

천수(shallow water) 모델에서 매닝의 거칠기

Manning의 거칠기 계수는 지형 표면의 전단 응력 평가를 위해 천수(shallow water) 모델에서 구현되었습니다. 표면 결함의 크기를 기반으로 기존 거칠기 모델을 보완하며이 모델과 함께 사용할 수 있습니다. 표준 거칠기와 마찬가지로 매닝 계수는 구성 요소 또는 하위 구성 요소의 속성이거나 지형 래스터 데이터 세트에서 가져올 수 있습니다.

메시 생성

하단 및 상단 경계 좌표의 정의만으로 수직 방향의 메시 설정이 단순화되었습니다.

구성 요소 변환

런타임시 스레드 수 변경

프로브 제어 열원

활성 시뮬레이션 제어가 형상 구성 요소와 관련된 heat sources로 확장되었습니다. history probes로 열 방출을 제어 할 수 있습니다.

소스에서 시간에 따른 온도

질량 및 질량/모멘트 소스의 유체 온도는 이제 테이블 입력을 사용하여 시간의 함수로 정의 할 수 있습니다.

방사율 계수

Output

등속 필드 솔버 옵션을 사용할 때 유량 속도를 선택한 데이터로 출력 할 수 있습니다.
벽 접착력으로 인한 지오메트리 구성 요소의 토크는 기존 벽 접착력 출력과 함께 별도의 수량으로 일반 이력 데이터에 출력됩니다.
난류 모델 출력이 요청 될 때 난류 에너지 및 소산과 함께 전단 속도 및 y +가 선택된 데이터로 자동 출력됩니다.
공기 유입 모델 출력에 몇 가지 수량이 추가되었습니다. 자유 표면을 포함하는 모든 셀에서 혼입 된 공기 및 빠져 나가는 공기의 체적 플럭스가 재시작 및 선택된 데이터로 출력되어 사용자에게 공기가 혼입 및 탈선되는 위치 및 시간에 대한 자세한 정보를 제공합니다. 전체 계산 영역 및 각 샘플링 볼륨 에 대해이 두 수량의 시간 및 공간 통합 등가물이 일반 히스토리 로 출력됩니다.
솔버의 출력 파일 flsgrf 의 최종 크기는 시뮬레이션이 끝날 때 보고됩니다.
2 유체 시뮬레이션의 경우, 기존의 출력 수량 유체 체류 시간 및 유체 가 이동 한 거리는 이제 유체 # 1 및 # 2와 유체의 혼합물에 대해 별도로 계산됩니다.
질량 입자의 경우, 각 종의 총 부피 및 질량이 계산되어 전체 계산 영역, 샘플링 볼륨 및 플럭스 표면에 대한 일반 히스토리 로 출력되어 입자 종 수에 대한 현재 출력을 보완합니다.
최종 로컬 가스 압력 은 사용자가 가스 포획을 식별하고 연료 탱크의 배기 시스템 설계를 지원하는 데 도움이되는 선택적 출력량으로 추가되었습니다. 이 양은 유체로 채워지기 전에 셀의 마지막 공극 압력을 기록하며 단열 버블 모델과 함께 사용됩니다.

새로운 맞춤형 소스 루틴

새로운 사용자 정의 가능 소스 루틴이 추가되었으며 사용자의 개발 환경에서 액세스 할 수 있습니다.

소스 루틴 이름	기술
cav_prod_cal	Cavitation 생성과 소산 비율
sldg_uset	슬러지 침전 속도
phchg_mass_flux	증발 및 응축으로 인한 질량 플럭스
flhtccl	유체 # 1과 # 2 사이의 열전달 계수
dsize_cal	2 상 흐름에서 동적 액적 크기 모델의 응집 및 분해 속도
elstc_custom	점탄성 유체에 대한 응력 방정식의 Source Terms

새로운 사용자 인터페이스

FLOW-3D 사용자 인터페이스는 완전히 새롭게 디자인되어 현대적이고 평평한 구조로 사용자의 작업 흐름을 획기적으로 간소화합니다.

Setup dock widgets

Physics, Fluids, Mesh 및 FAVOR ™를 포함한 모든 설정 작업이 지오 메트리 윈도우 주변에서 독 위젯으로 변환되어 모델 설정을 단일 탭으로 요약할 수 있습니다. 이러한 전환으로 인해 이전 버전의 복잡한 접이식 트리가 훨씬 깨끗하고 효율적인 메뉴 프레젠테이션으로 대체되어 사용자는 ModelSetup탭을 떠나지 않고도 모든 매개 변수에 쉽게 액세스 할 수 있습니다.

New Model Setup icons

새로운 모델 설정 디자인에는 설정 프로세스의 각 단계를 나타내는 새로운 아이콘이 있습니다.

New Physics icons

RSS feed

새 RSS 피드부터 FLOW-3D v12.0의 시뮬레이션 관리자 탭이 개선되었습니다. FLOW-3D 를 시작하면 사용자에게 Flow Science의 최신 뉴스, 이벤트 및 블로그 게시물이 표시됩니다.

Configurable simulation monitor

시뮬레이션을 실행할 때 중요한 작업은 모니터링입니다. FLOW-3Dv1.0에서는 사용자가 시뮬레이션을 더 잘 모니터링할 수 있도록 SimulationManager의 플로팅 기능이 향상되었습니다. 사용자는 시뮬레이션 런타임 그래프를 통해 모니터링할 사용 가능한 모든 일반 기록 데이터 변수를 선택하고 각 그래프에 여러 변수를 추가할 수 있습니다. 이제 런타임에서 사용할 수 있는 일반 기록 데이터는 다음과 같습니다.

최소/최대 유체 온도
프로브 위치의 온도
유동 표면 위치에서의 유량
시뮬레이션 진단(예:시간 단계, 안정성 한계)

Runtime plots of the flow rate at the gates of the large dam

Conforming 메쉬 시각화

용자는 이제 새로운 FAVOR ™ 독 위젯을 통해 적합한 메쉬 블록을 시각화 할 수 있습니다.

Large raster and STL data

데이터를 처리하는 데 걸리는 시간 때문에 큰 지오 메트리 데이터를 처리하는 것은 수고스러울 수 있습니다. 대형 지오 메트리 데이터를 처리하는 데는 여전히 상당한 시간이 걸릴 수 있지만, FLOW-3D는 이제 이러한 대규모 데이터 세트를 백그라운드 작업으로 로드하여 사용자가 데이터를 처리하는 동안 완전히 응답하고 중단 없는 인터페이스에서 작업을 계속할 수 있습니다

파도 / Waves

FLOW-3D 는 비정형 파뿐만 아니라 일반 선형 및 비선형파 표면을 시뮬레이션 할 수 있는 기능이 있습니다. 선형파는 작은 진폭 및 급경사를 갖는 사인파 표면 프로파일을 가지며, 비선형파는 선형 파보다 더 큰 진폭 (유한 진폭), 더 뾰족한 볏 및 평탄한 골짜기를 갖는다. 비선형 파는 파동 문자와 그 해를 구하기 위해 사용 된 수학적 방법에 따라 스톡 (stookes), 코니이드 (cnoidal) 파 및 독방 파로 분류 될 수 있습니다.

그림 1. 다른 진행파의 프로파일 비교
도 1 및도 2에 도시 된 바와 같이, 스톡스 파는 심층 및 과도수의 주기적인 파이다. Cnoidal 파는 천수(shallow water)와 중간 물에서 긴주기적인 파이고 Stokes 파보다 더 뾰족한 볏과 평평한 골짜기를 가지고 있습니다. 스톡스와 코니 형 파와 달리 독방 파는 천수(shallow water)와 과도 수에서 존재하는 비 주기적 파이다. 그것은 하나의 산마루와 물마루를 가지며 완전히 방해받지 않은 수면 위입니다. 수학적으로 파장이 무한대가 될 때 그것은 코니 형 파의 제한적인 경우입니다. 심층수, 과도 수 및 파도에 대한 천수(shallow water)의 분류는 표 1에서 찾아 볼 수있다.

그림 2. 다양한 파도의 적용 범위 (Le Méhauté, 1976, Sorensen, 2005 및 USACE, 2008). d : 평균 수심; H : 파고; T : 파주기; g : 중력 가속도

선형 파 이론 (Airy, 1845)이 많은 응용 분야에서 사용되었지만 비선형 파 이론은 파동의 진폭이 작지 않은 경우 선형 파 이론보다 정확도가 크게 향상되었습니다. FLOW-3D 에서 3 개의 비선형 파 이론이 5 차 스톡스 파 이론 (Fenton, 1985), 스톡스 및 코니이드 파에 대한 푸리에 급수 방법 (Fenton, 1999), McCowan의 독방 파 이론 (McCowan, 1891, Munk, 1949). 그 중에서 Fenton의 Fourier 시리즈 방법은 선형 물, 스톡 (Stokes) 및 코니형 (cnoidal) 파를 포함하여 심층수, 과도 수 및 천수(shallow water)에서 모든 종류의 주기적 전파 파들에 유효합니다. 또한 다른 웨이브 이론보다 정확도가 높습니다 (USACE, 2008). 따라서 모든 수심에서 선형 및 비선형 주기파의 모든 유형을 생성하는 것이 권장되는 방법입니다. solitary wave의 경우, FLOW-3D 에 사용 된 McCowan의 이론은 Boussinesq (1871)에 의해 개발 된 다른 널리 사용되는 이론보다 더 높은 주문 정확도를 갖는다.

그림 3. PM과 JOHNSWAP 스펙트럼 (USCE, 2006에서 적응)

Classifications	d / $\lambda$
Deep water	1/2 to ∞
Transitional water	1/20 to 1/2
Shallow water	0 to 1/20

불규칙한 물결은 파도의 물성이 일정하지 않은 자연적인 바다의 상태를 나타냅니다. FLOW-3D에서 불규칙한 파동은 다양한 진폭과 주파수 및 임의의 위상 변이를 갖는 많은 선형 성분 파의 중첩으로 표현됩니다. Pierson-Moskowitz (Pierson and Moskowitz, 1964)와 JONSWAP 파력 에너지 스펙트럼 (Hasselmann, et al., 1973)은 FLOW-3D에서 구성 요소 파를 생성하기 위해 구현된다. 다른 웨이브 에너지 스펙트럼은 사용자 정의 데이터 파일을 가져와서 사용할 수 있습니다.

계산 시간을 절약하기 위해 웨이브는 메시 블록 경계에서뿐만 아니라 초기 조건으로 정의 될 수 있습니다.

아래의 애니메이션은 웨이브 초기화가 있거나없는 웨이브의 모든 유형에 대한 예제를 보여줍니다.
선형 및 비선형 수위 시뮬레이션을 위해 FLOW-3D 의 성공적인 적용이 이루어졌습니다. Bhinder 외의 예를 참조하십시오. al (2009), Chen (2012), Hsu et. al (2012) Thanyamanta et. al (2011) 및 Yilmaz et. 자세한 내용은 알 (2011)을 참조하십시오.

References

Airy, G. B., 1845, Tides and Waves, Encyc. Metrop. Article 102.

Bhinder, M. A., Mingham, C. G., Causon, D. M., Rahmati, M. T., Aggidis, G. A. and Chaplin, R.V., 2009, A Joint Numerical And Experimental Study Of a Surging Point Absorbing Wave Energy Converter (WRASPA), Proceedings of the ASME 28th International Conference on Ocean, Offshore and Arctic Engineering, OMAE2009-79392, Honolulu, Hawaii.

Boussinesq, J., 1871, Theorie de L’intumescence Liquide Appelee Onde Solitaire ou de Translation se Propageant dans un Canal Rectangulaire, Comptes Rendus Acad. Sci. Paris, Vol 72, pp. 755-759.

Chen, C. H., 2012, Study on the Application of FLOW-3D for Wave Energy Dissipation by a Porous Structure, Master’s Thesis: Department of Marine Environment and Engineering, National Sun Yat-sen University.

Fenton, J. D., 1985, A Fifth-Order Stokes Theory for Steady Waves, Journal of Waterway, Port, Coastal and Ocean Engineering, Vol. 111, No. 2.

Fenton, J. D., 1999, Numerical Methods for Nonlinear Waves, Advances in Coastal and Ocean Engineering, Vol. 5, ed. P.L.-F. Liu, pp. 241-324, World Scientific: Singapore, 1999.

Hasselmann, K., Barnet, T. P., Bouws, E., Carlson, H., Cartwright, D. E., Enke, K., Ewing, J. A., Gienapp, H., Hasselmann, D. E., Kruseman, P., Meerburg, A., Muller, P., Olbers, D. J., Richter, K., Sell, W., and Walden, H., 1973, Measurement of Wind-Wave Growth and Swell Decay During the Joint North Sea Wave Project (JONSWAP), German Hydrographic Institute, Amburg.

Hsu, T. W., Lai, J. W. and Lan, Y., J., 2012, Experimental and Numerical Studies on Wave Propagation over Coarse Grained Sloping Beach, Proceedings of the International Conference on Coastal Engineering, No 32 (2010), Shanghai, China.

Kamphuis, J. M., 2000, Introduction to Coastal Engineering and Management, World Scientific, Singapore.

Le Méhauté, B., 1976, An Introduction to Hydrodynamics and Water Waves, Springer-Verlag.

McCowan, J., 1891, On the solitary wave, Philosophical Magazine, Vol. 32, pp. 45-58.

Munk, W. H., 1949, The Solitary Wave Theory and Its Application to Surf Problems, Annals New York Acad. Sci., Vol 51, pp 376-423.

Pierson W. J. and Moskowitz, L., 1964, A proposed spectral form for fully developed wind seas based on the similarity theory of S.A. Kitiagordskii, J. Geophys. Res. 9, pp. 5181-5190.

Thanyamanta, W., Herrington, P. and Molyneux, D., 2011, Wave patterns, wave induced forces and moments for a gravity based structure predicted using CFD, Proceedings of the ASME 2011, 30th International Conference on Ocean, Offshore and Arctic Engineering, OMAE2011, Rotterdam, The Netherlands.

USACE (U.S. Army Corps of Engineers), 2006, Coastal Engineering Manual, EM 1110-2-1100, Washington, DC.

Yilmaz, N., Trapp, G. E., Gagan, S. M. and Emmerich, T., R., 2011 CFD Supported Examination of Buoy Design for Wave Energy Conversion, IGEC-VI-2011-173, pp. 537-541

퇴적, 세굴(쇄굴) / Sediment Scour

퇴적-세굴(쇄굴) / Sediment Scour

유체 역학과 완벽하게 연계된 FLOW-3D 의 sediment scour model은 침전물 수송, 부유물 운반, 인입 및 퇴적을 포함하여 비 점착성 토양의 모든 퇴적물 이동 과정을 모의 실험합니다 (Wei 등, 2014). 입자 크기, 질량 밀도 및 임계 전단 응력과 같은 다른 성질을 갖는 다중 퇴적물 종을 허용합니다. 예를 들어, 중간 모래, 거친 모래 및 자갈은 시뮬레이션에서 세 가지 종으로 분류 할 수 있습니다. 이 모델은 3D 흐름과 2D 천수(shallow water) 흐름에 모두 적용됩니다.

모델에서, 퇴적물의 충진 층은 퇴적물 종의 상이한 조합을 갖는 다수의 하위 구성 요소로 구성 될 수있는 하나의 기하학적 구성 요소에 의해 정의됩니다. 충전된 베드는 면적 및 부피 분율을 사용하는 FAVOR^TM 기술에 의해 기술된다. 베드 인터페이스를 포함하는 메쉬 셀에서 인터페이스의 위치, 방향 및 면적이 계산되어 베드 전단 응력, 임계 실드 매개 변수, 침식 속도 및 베드로의 전송 속도를 결정합니다. 3 차원 난류 유동에서의 전단 응력은 매체 입자 크기 50 에 비례하는 층 표면 거칠기를 고려한 표준 벽 함수를 사용하여 평가됩니다. 2D 천수(shallow water)의 경우, 층 전단 응력 계산은 항력 계수가 사용자 정의이거나 수심과 층 표면 거칠기를 사용하여 국부적으로 계산 된 2 차 법칙을 따릅니다.

그림 1. t = 8 분에서의 유량
이 모델은 Meyer-Peter와 Muller (1948)의 방정식을 사용하여 베드 인터페이스를 포함하는 각 메쉬 셀에서의 베드로드 이송을 계산합니다. 서브 메쉬 (submesh) 방법은 메쉬 셀에서 이웃에있는 각 메쉬 셀로 이동하는 입자의 양을 결정하는 데 사용됩니다. 부유 퇴적물 농도는 퇴적물 수송 방정식을 풀음으로써 얻어집니다. 침식의 계산은 침전물 유입 및 침전을 동시에 고려합니다. entrainment에서 입자의 리프팅 속도는 Winterwerp et al. (1992). 퇴적시의 침강 속도는 3D 유동에 대한 퇴적물의 표류 속도와 같지만 얕은 수류에 대해서는 현존 방정식을 사용하여 계산됩니다 (Soulsby, 1997). 드리프트 플럭스 이론 (Breitour and Hirt, 2009)은 입자의 드리프트 속도를 계산하는 데 사용됩니다.

그림 2. t = 8 분의 구멍 채취
이 페이지의 예는 3 개의 원통형 교각을 중심으로 한, 맑은 물 정화에 대한 시뮬레이션입니다. 교각의 지름은 1.5m이며, 교각은 2m 간격으로 나란히 배치되어 있습니다. 다가오는 유량은 실린더와 정렬되며 2m/s의 속도를가집니다. 베드 재료는 모래 (직경 5mm), 자갈 (10mm) 및 거친 자갈 (20mm) 인 세 가지 퇴적물 종으로 구성됩니다. 그림 1, 2 및 3은 8 분간 실린더 주변의 흐름, 채취 구멍 및 채취 깊이 분포를 보여줍니다.

그림 3. t = 8min에서의 정련 깊이 (양수 값) 및 침전 높이 (양수 값)
이 모델에 대한 더 자세한 정보는 침전물 퇴적에 관한 Flow Science Report를 다운로드하십시오.

천수(shallow water) 3차원 유동의 하이브리드 모델 / Hybrid Shallow Water/3D Flow

하이브리드 천수(shallow water) / 3D 흐름

FLOW-3D 의 shallow water/3D flow model은 교량, 바다의 시추 장비 및 대형 저수지의 댐과 같은 ‘천수(shallow water)’환경에서 3D 구조물 주변의 흐름을 모델링하도록 설계되었습니다. 이 모델은 멀티 블록 메쉬를 사용합니다. 메쉬 블록은 천수(shallow water) 또는 3D로 지정 됩니다. 표준화된 천수(shallow water) 또는 3D 방정식은 사용자 선택에 따라 각 블록 내에서 풀리고 각 솔루션은 블록 경계에서 결합됩니다.

모델 하이라이트

하나의 시뮬레이션에서 천수(shallow water)과 전체 3D 흐름 모델을 다중 블록 접근 방식으로 결합하여 사용자가 주요 흐름 세부 정보를 효율적으로 캡처하고 동시에 큰 도메인을 모델링 할 수 있게 합니다.
천수(shallow water) 모델을 적용하여 수직 흐름 요소가 중요하지 않은 대규모 흐름을 시뮬레이션합니다.
수직적인 압력 구배와 속도가 중요한 지역화된 유동 세부 사항을 포착하기 위해 완전한 3 차원 모델을 사용합니다.

*Flooding of a large area with flow originating at a weir. The weir is modeled in a 3D mesh block linked to a shallow water block that contains the flood area downstream.*

넓은 지역의 범람

이 예는 넓은 영역의 범람을 설명하며 흐름은 위어에서 시작됩니다. FLOW-3D 설치와 함께 제공되는 예제 시뮬레이션으로 인식 할 수 있는 위어는, 전체가 3D 모델로 모델링되며, 여러개의 간단한 구조가 포함된 하류의 범람 지역은 얕은 수식으로 설명됩니다. 두 개의 메쉬 블록은 서로 인접해 있습니다. 즉, 서로 연결되어 있습니다.

위어에서 유래 한 흐름으로 넓은 지역이 범람 함. 위어는 홍수 지역 하류를 포함하는 천수(shallow water) 블록에 연결된 3D 메쉬 블록으로 모델링됩니다.

A snapshot of the combined shallow water and 3D solutions. The 3D mesh block, outlined in red, contains the three vertical piers and is nested within a larger shallow water mesh block. Color denotes velocity magnitude.

Hybrid Shallow Water Model Simulations / 천수(shallow water) 모델하이브리드 시뮬레이션

Road Drainage Passage – Hybrid Shallow Water/3D Flow Model Example
하이브리드 천수(shallow water) 모델을 사용하여 모델링된 이 분석의 목적은 도로 배수로를 시뮬레이션하는 것입니다. 천수(shallow water) 모델은 도로의 흐름을 모델링하는 데 사용되며, 배수구의 배수 및 흐름을 모델링하기 위해 두 개의 3D 블록과 결합됩니다.

이 예제는 마른 강바닥의 중간에 위치한 네 개의 수직 기둥으로 구성된 미세 구조를 해결하기 위해 3D 중첩 블록을 사용하는 방법을 보여줍니다. 강을 따라 흐르는 흐름은 천수(shallow water) 유형인 더 큰 메쉬 블록으로 모델링됩니다.

FLOW-3D 10.1 천수만 (shallow water model)과 3 차원 모델을 조합한 하이브리드 도로 배수구 분석 사례로, 이 분석의 목적은 도로의 천수만 흐름을 천수만 모델 (shallow water model)로 모델링하고 하수구 및 배수로의 흐름을 3 차원으로 해결하여 하이브리드 모델을 사용한 대규모 스케일 모델을 효율적으로 풀기위한 것입니다.

수자원 및 환경 모델 / Water & Environmental Models

물 및 환경 모델

3D 자유 표면 흐름을 모델링 할 때 FLOW-3D의 고유한 강점은 복잡한 수리 환경분야에 쉽게 적용할 수 있는 최적화된 플랫폼이 제공된다는 점 입니다. FLOW-3D 소프트웨어는 수십년 동안 복잡한 흐름 역학, 흐름/구조 상호 작용 및 환경 예측을 위해 업계 전문가들이 사용해 왔습니다. FLOW-3D의 적용에는 수처리 시설물 , 하천 계획 및 복원 , 댐 안전, 수력 및 방수 작업 , 설계 및 최적화, 저수지 유지 관리 및 계획, 해안 및 하구 공학 분야가 포함됩니다.

독특한 모델링 도구

하이브리드 3D/천수(shallow water) 해석기능은 계산상 매우 효율적이고 정확합니다. 천수(shallow water) 모델 솔루션은 대규모 도메인 (수 킬로미터 이상)에서의 유동 모델링을 허용하고 hydraulic jumps 및 침전물 이송을 정확하게 포착합니다. 브리지 교각 및 방수로와 같이 수직 흐름 효과가 중요한 지역의 3D 솔루션과 매끄럽게 연결됩니다. 또한, 등각 메쉬 (conformal meshing)는 효율적인 메쉬 생성을 능률화하고 사용자가 기하학적인 세부 사항을 쉽게 해결할 수 있게 합니다.

강력한 물리 모델

FLOW-3D는 퇴적물 정련 및 수송, 밀도 층화 및 혼합, 기포 및 캐비테이션, 증발 및 상 변화, 화학적 예측 및 수송, 다공성 매체를 포함하는 강력한 물리 모델을 추가로 포함합니다. 정확한 3 차원 유동 모델링 및 물리학 패키지를 통해 FLOW-3D 는 매우 복잡한 환경에서도 정확하고 효과적인 시뮬레이션을 결과를 제공합니다. 제공된 사례는 미세한 뉴트리안 광산 꼬리끌림의 영향을받는 세밀한 3D 유압 영역을 매핑하고 파고를 예측하는 것입니다. FLOW-3D 의 다 기능성은 사용자가 하나의 응용 프로그램에서 다음 응용 프로그램으로 부드럽게 탐색 할 수있게하며, 가장 복잡한 문제에 대한 탁월한 정확성과 사용 편의성을 제공합니다.

난류 / Turbulence

FLOW-3D 는 완전 3 차원 유동, 2 차원 깊이 평균 (천수(shallow water)) 흐름 및 3 차원/2 차원 깊이 혼합 평균 흐름을 위한 포괄적인 난류 모델링 제품군을 제공합니다.

그림1. 부두 하류에서의 와류 검출을위한 Q- 기준의 3D지도

FLOW-3D 에는 8 가지 난기류 옵션이 있습니다.

Prandtl 혼합 길이 모델은 3 차원 난류 효과를 설명하기 위한 가장 초기의 시도 중 하나입니다. 가장 복잡한 모델이 아니며 더 이상 널리 사용되지 않습니다. FLOW-3D 는 주로 학술 연구에서의 유용성을 포함합니다.
소위 1 방정식 모델은 난기류를 나타내는 초기 노력이기도 합니다. 시간 평균 난류 운동 에너지 k를 계산하고 모든 위치에서 알려진 난류 혼합 길이 L_T 가 필요합니다. L_T 는 일반적으로 미리 알려지지 않기 때문에, one-equation 모델은 복잡한 유량을 모델링하는 데 적합하지 않습니다.
표준 k-ε 모델 (Harlow & Nakayama 1967)은 난류 운동 에너지 k와 소산 속도 ε를 계산하고 난류 혼합 길이 L_T를 동적으로 찾는 2 방정식 모델입니다. 이것은 업계 표준이며 광범위한 흐름을 표현하는데 유용하다는 것이 발견되었습니다 (Rodi 1980).
재 정규화 그룹 (RNG) k-ε 모델 (Yakhot & Orszag 1986, Yakhot & Smith 1992)은 2 방정식 k-ε 모델의 보다 견고한 버전이며, 대부분의 산업에서의 문제에 권장됩니다. 표준 k-ε 모델의 기능을 확장하여 과도기 난류, 곡선 흐름, 벽 열 전달 및 물질 전달의 더 나은 적용 범위를 제공합니다.
k-ω 2 방정식 모델 (Wilcox 1988, 1998, 2008)은 두 번째 변수를 난류 소산 ε이 아니라 ω ≡ ε / k로 정의한다 (Kolmogorov 1942). Wilcox는 1988 년부터 k-ω 2 방정식 모델을 개선했으며 1998 년에는 자유 전단 유동에 대한 모델의 정확성을 크게 개선 한 새로운 계수를 도입했습니다. FLOW-3D 의 k-ω 2 방정식 모델은 제트, 후류 및 플럼을 퍼 뜨리는 것과 같은 유선형 압력 구배를 갖는 자유 전단 흐름을 모델링하는 데 적합합니다.
LES 모델은 평균 난류 운동 에너지를 나타내기 위해 스칼라를 사용하지 않고 대부분의 난류 변동을 직접 해결합니다. 그것은 2 방정식 모델보다 훨씬 더 미세한 메쉬 해상도를 필요로하며 난기류에 대한 보다 광범위한 통계를 제공합니다.
2-D 심도 평균 얕은물 난류 모델은 대수적인 완전 난류 속도를 가정합니다. 첫 번째 옵션은 일정한 항력 계수 CD를 가정하며, 이는 공간적으로 변화 할 수 있습니다.
두 번째 2-D 심도 평균 천수(shallow water) 난류 모델은 항력 계수 CD 를 유체 깊이와 공간적으로 가변되는 표면 거칠기의 동적 함수로 만듭니다.

완전한 3-D 테스트를 통해 LES 모델 출력을 시간 평균화하면 2 방정식 Reynolds REN (Reynolds Averaged Navier-Stokes) 모델 (표준 k-ε, RNG k-ε 및 k- ω).

아래의 물고기 통로 비디오에 나와 있습니다.

난류 시뮬레이션 – 모델 비교 / Turbulence Simulations – A Model Comparison

첫 번째 비디오에서는 FLOW-3D 의 LES (Large-Eddy Simulation) 난류 모델을 사용하여 어류 통과를 시뮬레이션하여 속도 변동의 크기를 분석합니다. 두 번째 비디오는 동일한 시뮬레이션의 시간 평균 결과를 보여줍니다. 여기에서 간단한 사용자 정의는 시간 평균 LES가 레이놀즈 평균 Navier-Stokes (RANS) 난류 모델 결과와 매우 유사하다는 것을 보여줍니다. 세 번째 비디오는 RNG (Renormalized Group) k-ε 난류 모델을 사용하여 시연하기 위해 동일한 시뮬레이션을 사용합니다. RNG k-ε 모델은 대부분의 레이놀즈 평균 Navier-Stokes (RANS) 난류 모델과 마찬가지로 속도 변동을 등방성 스칼라 값으로 처리하여 시간에 따른 속도 변동을 감쇠시킵니다. 결과는 두 번째 비디오에서 볼 수 있듯이 직접 LES 결과를 시간 평균하여 찾은 결과와 유사합니다.

참고 문헌

Driver, DM and Seegmiller, HL, 1985, AIAA Journal (23), 163-171의 다양한 채널 유동에서 재 부착하는 난류 전단 층의 특징 .
Harlow, FH and Nakayama, PI, 1967, 난류 수송 방정식 , 유체 역학 (10), 2323-2332.
Harlow, FH 및 Nakayama, PI, 1968, 난기류 에너지 감쇠율의 전송 , Los Alamos Scienti fi c 실험실 보고서 LA-3854.
Kolmogorov, AN, 1942, 비압축성 유체에서의 난류 운동 방정식 , Izvestia Academy of Sciences, 소련; Physics (6), 56-58.
Pope, S. B, 2000, Turbulent Flows , Cambridge University Press.
Rodi, W., 1980, 난류 모델과 유압 장치의 적용 : 최첨단 검토 , 국제 유압 연구 협회 (IAHR), 델프트, 네덜란드.
Saffman, PG, 1970, Inhomogeneous Turbulent Flow의 모델 , Royal Society London A (317), 417-433의 절차.
Speziale, CG, Abid, R., and Anderson, EC, 1992, AIAA 저널 (30), 324-331, 벽 근처 난류에 대한 2 방정식 모델의 중요성 평가.
Wilcox, DC, 1988, AIAA Journal (26), 1299-1310의 진보 된 난류 모델에 대한 스케일 결정 방정식의 재평가.
Wilcox, DC, 1998, CFD의 난류 모델링 , DCW Industries, Inc., 제 2 판.
Wilcox, DC, 2008, k-omega 난류 모델의 공식화 , AIAA Journal (46), 2823-2838.
Yakhot, V. and Orszag, SA, 1986, 난류의 재 정규화 그룹 분석 I. 기본 이론 , Journal of Scientific Computing (1), 3-51.
Yakhot, V. 및 Smith, LM, 1992, 재 정규화 그룹, 난류 모델의 전자 확장 및 유도 , Journal of Scientific Computing (7), 35-61.

The Sedimentation Scour Model [침전 세굴(쇄굴) 모델]

1. Introduction
The three-dimensional sediment scour model for non-cohesive soils was first introduced to FLOW-3D in Version 8.0 to simulate sediment erosion and deposition (Brethour, 2003). It was coupled with the three-dimensional fluid dynamics and considered entrainment, drifting and settling of sediment grains. In Version 9.4 the model was improved by introducing bedload transport and multiple sediment species (Brethour and Burnham, 2010). Although applications were successfully simulated, a major limitation of the model was the approximate treatment of the interface between the packed and suspended sediments. The packed bed was represented by scalars rather than FAVORTM (Fractional Area Volume Obstacle Representation, the standard treatment for solid components in FLOW-3D). As a result, limited information about the packed bed interface was available. That made accurate calculation of bed shear stress, a critical factor determining the model accuracy, challenging.

In this work, the 3D sediment scour model is mostly redeveloped and rewritten. The model is still fully coupled with fluid flow, allows multiple non-cohesive species and considers entrainment, deposition, bedload transport and suspended load transport. The fundamental difference from the old model is that the packed bed is described by the FAVORTM technique. At each time step, area and volume fractions describing the packed sediments are calculated throughout the domain. In the mesh cells at the bed interface, the location, orientation and area of the interface are calculated and used to determine the bed shear stress, the critical Shields parameter, the erosion rate and the bedload transport rate. Bed shear stress is evaluated using the standard wall function with consideration of bed surface roughness that is related to the median grain size d50. A sub-mesh method is developed and implemented to calculate bedload transport. Computation of erosion considers entrainment and deposition simultaneously in addition to bedload transport.

Furthermore, a shallow-water sediment scour model is developed in this work by adapting the new 3D model. It is coupled with the 2D shallow water flows to calculate depth-averaged properties for both suspended and packed sediments. Its main differences from the 3D model are 1) the settling velocity of grains is calculated using an existing equation instead of the drift-flux approach in the 3D model, and 2) turbulent bed shear stress is calculated using a well-accepted quadratic law rather than the log wall function. The drag coefficient for the bed shear stress is either user-given or locally evaluated using the water depth and the bed surface roughness that is proportional to d50 of the bed material. The following sections present the sediment theory used in the model and application and validation cases.

Sample Problem for Free Surface Hydraulics [자유표면 유압문제 샘플]

The field of open-channel hydraulics is filled with many interesting and complicated fluid dynamics problem. Large scale channel flows can often be adequately treated using simplified shallow water analysis methods, but localized flows around ge\ates, wairs, and other structures generally require more sophisticated methods.

물리 모델 소개

FLOW-3D 는 고도의 정확성이 필요한 항공, 자동차, 수자원 및 환경, 금속 산업분야의 세계적인 선진 기업에서 사용됩니다.

FLOW-3D의 광범위한 다중 물리 기능(multiphysics )은 자유 표면 흐름, 표면 장력, 열전달, 난류, 움직이는 물체, 단순 변형 고체, 전기 기계, 캐비테이션, 탄/소성, 점성, 가소성, 입자, 고체 연료, 연소 및 위상 변화를 포함합니다.
이러한 모델은 FLOW-3D를 사용하는 사용자들이 기술 및 과학의 광범위한 문제를 해결하도록 설계를 최적화하고 복잡한 프로세스 흐름에 대한 통찰력을 얻을 수 있도록 합니다.

Physics Models

Air EntrainmentCavitation
Cavitation
Combustible Objects
Core Gas
Defect Tracking
Dissolving Objects
Drift Flux
Granular Flow
Lost Foam
Moisture
Moving Objects
Porous Media
Sediment Scour
Shallow Water
Thermal Die Cycling
Solidification
Wind Effects

Flow/Fluid Modes

Incompressible and Compressible Flows
Constant/Varying Density
Fluid Sources
Non-Inertial Frame Reference
Laminar/Turbulent Flow
Elastic Stresses
Electro-Mechanics
Heat Transfer
Particle Tracking
Surface Tension
Wall Contact Time
Phase Change

Materials Databases

Fluids Database
Solids Database

매우 정확한
시뮬레이션 결과

FAVOR™, 으로 알려진 특별한 메쉬 프로세스는 데카르트 구조의 단순함을 유지하면서 복잡한 형상을 효율적으로 구현합니다.

Optimized Setup
and Workflow

TruVOF 표면 추적 방법은 유동시뮬레이션을 위해 알려진 유체 체적을 사용하는 동안 가장 높은 정확도를 제공합니다.

FlowSight
Postprocessing

산업계에서 최고의 시각화 postprocessor인 FlowSight 는 사용자에게 2차원 및 3차원에 대한 심층 분석 기능을 제공합니다.

Coastal & Maritime Bibliography

다음은 연안 및 해양 분야의 기술 문서 모음입니다.
이 모든 논문은 FLOW-3D 결과를 포함하고 있습니다. FLOW-3D를 사용하여 연안 및 해양 시설물을 성공적으로 시뮬레이션 하는 방법에 대해 자세히 알아보십시오.

2024년 11월 20일 Update

119-24 Faris Ali Hamood Al-Towayti, Hee-Min Teh, Zhe Ma, Idris Ahmed Jae, Agusril Syamsir, Ebrahim Hamid Hussein Al-Qadami, Hydrodynamic performance assessment of emerged, alternatively submerged and submerged semicircular breakwater: An experimental and computational study, Journal of Marine Science and Engineering, 12; 1105, 2024. doi.org/10.3390/jmse12071105

117-24 Dong Zeng, Wuyang Bi, Yi Yu, Yun Yan, Weiqiu Chen, Yong Yao, Cheng Zhang, Tianyu Wu, Prediction of local scouring of offshore wind turbine foundations based on the amplification principle of local seabed shear stress, The 34th International Ocean and Polar Engineering Conference, ISOPE-I-24-125, 2024.

116-24 Chen-Shan Kung, Ya-Cing You, Pei-Yu Lee, Siu-Yu Pan, The air entrainment effect of pump blades operation under different water depths, The 34th International Ocean and Polar Engineering Conference, ISOPE-I-24-595, 2024.

114-24 Chen-Shan Kung, Siu-Yu Pan, Pei-Yu Lee, Ya-Cing You, Sediment flushing of different angle on density outflow, The 34th International Ocean and Polar Engineering Conference, ISOPE-I-24-183, 2024.

102-24 Mary Kathryn Walker, Computational fluid dynamics study of perforated monopiles, Thesis, Florida Institute of Technology, 2024.

80-24 Deniz Velioglu Sogut, Erdinc Sogut, Ali Farhadzadeh, Tian-Jian Hsu, Non-equilibrium scour evolution around an emerged structure exposed to a transient wave, Journal of Marine Science and Engineering, 12; 946, 2024. doi.org/10.3390/jmse12060946

79-24 Sujantoko, D.R. Ahidah, W. Wardhana, E.B. Djatmiko, M. Mustain, Numerical modeling of wave reflection and transmission in I-shaped floating breakwater series, IOP Conference Series: Earth and Environmental Science, 1321; 012010, 2024. doi.org/10.1088/1755-1315/1321/1/012010

75-24 Sahel Sohrabi, Mohamad Ali Lofollahi Yaghin, Alireza Mojtahedi, Mohamad Hosein Aminfar, Mehran Dadashzadeh, Experimental and numerical investigation of a hybrid floating breakwater-WEC system, Ocean Engineering, 303; 117613, 2024. doi.org/10.1016/j.oceaneng.2024.117613

73-24 Penghui Wang, Chunning Ji, Xiping Sun, Dong Xu, Chao Ying, Development and test of FDEM–FLOW-3D—A CFD–DEM model for the fluid–structure interaction of AccropodeTM blocks under wave loads, Ocean Engineering, 303; 117735, 2024. doi.org/10.1016/j.oceaneng.2024.117735

67-24 Alexander Schendel, Stefan Schimmels, Mario Welzel, Philippe April-LeQuéré, Abdolmajid Mohammadian, Clemens Krautwald, Jacob Stolle, Ioan Nistor, Nils Goseberg, Spatiotemporal scouring processes around a square column on a sloped beach induced by tsunami bores, Journal of Waterway, Port, Coastal, and Ocean Engineering, 150.3; 2024. https://doi.org/10.1061/JWPED5.WWENG-2052

65-24 Kaiqi Yu, Elda Miramontes, Matthieu J.B. Cartigny, Yuping Yang, Jingping Xu, The impacts of profile concavity on turbidite deposits: Insights from the submarine canyons on global continental margins, Geomorphology, 454; 109157, 2024. doi.org/10.1016/j.geomorph.2024.109157

61-24 M.T. Mansouri Kia, H.R. Sheibani, A. Hoback, Initial maintenance notes about the first river ship lock in Iran, Journal of Hydraulic and Water Engineering, 1.2; pp. 143-162, 2024.

47-24 Cheng Yee Ng, Nauman Riyaz Maldar, Muk Chen Ong, Numerical investigation on performance enhancement in a drag-based hydrokinetic turbine with a diffuser, Ocean Engineering, 298; 117179, 2024. doi.org/10.1016/j.oceaneng.2024.117179

26-24 Zegao Yin, Guoqing Li, Fei Wu, Zihan Ni, Feifan Li, Experimental and numerical study on hydrodynamic characteristics of a bottom-hinged pitching flap breakwater under regular waves, Ocean Engineering, 293; 116665, 2024. doi.org/10.1016/j.oceaneng.2024.116665

21-24 Young-Ki Moon, Chang-Ill Yoo, Jong-Min Lee, Sang-Hyub Lee, Han-Sam Yoon, Evaluation of pedestrian safety for wave overtopping by ship-induced waves in waterfront revetment, Journal of Coastal Research, 116; pp.314-318, 2024. doi.org/10.2112/JCR-SI116-064.1

14-24 Hongliang Wang, Xuanwen Jia, Chuan Wang, Bo Hu, Weidong Cao, Shanshan Li, Hui Wang, Study on the sand-scouring characteristics of pulsed submerged jets based on experiments and numerical models, Journal of Marine Science and Engineering, 12.1; 57, 2024. doi.org/10.3390/jmse12010057

239-23 Sara Tuozzo, Angela Di Leo, Mariano Buccino, Fabio Dentale, Eugenio Pugliese Carratelli, Mario Calabrese, The effect of wind stress on wave overtopping on vertical seawall, Coastal Engineering Proceedings, 37; 2023. doi.org/10.9753/icce.v37.papers.49

224-23 Helia Molaei Nodeh, Reza Dezvareh, Mahdi Yousefifard, Numerical analysis of the effects of rubble mound breakwater geometry under the effect of nonlinear wave force, Arabian Journal for Science and Engineering, 2023. doi.org/10.1007/s13369-023-08520-2

212-23 Feifei Cao, Mingqi Yu, Meng Han, Bing Liu, Zhiwen Wei, Juan Jiang, Huiyuan Tian, Hongda Shi, Yanni Li, WECs microarray effect on the coupled dynamic response and power performance of a floating combined wind and wave energy system, Renewable Energy, 219.2; 119476, 2023. doi.org/10.1016/j.renene.2023.119476

210-23 H. Omara, Sherif M. Elsayed, Karim Adel Nassar, Reda Diab, Ahmed Tawfik, Hydrodynamic and morphologic investigating of the discrepancy in flow performance between inclined rectangular and oblong piers, Ocean Engineering, 288.2; 116132, 2023. doi.org/10.1016/j.oceaneng.2023.116132

190-23 M.F. Ahmad, M.I. Ramli, M.A. Musa, S.E.G. Goh, C.W.M.N Che Wan Othman, E.H. Ariffin, N.A. Mokhtar, Numerical simulation for overtopping discharge on tetrapod breakwater, AIP Conference Proceedings, 2746.1; 2023. doi.org/10.1063/5.0153371

183-23 Youkou Dong, Enjin Zhao, Lan Cui, Yizhe Li, Yang Wang, Dynamic performance of suspended pipelines with permeable wrappers under solitary waves, Journal of Marine Science and Engineering, 11.10; 1872, 2023. doi.org/10.3390/jmse11101872

176-23 Guoxu Niu, Yaoyong Chen, Jiao Lu, Jing Zhang, Ning Fan, Determination of formulae for the hydrodynamic performance of a fixed box-type free surface breakwater in the intermediate water, Journal of Marine Science and Engineering, 11.9; 1812, 2023. doi.org/10.3390/jmse11091812

168-23 Yupeng Ren, Huiguang Zhou, Houjie Wang, Xiao Wu, Guohui Xu, Qingsheng Meng, Study on the critical sediment concentration determining the optimal transport capability of submarine sediment flows with different particle size composition, Marine Geology, 464; 107142, 2023. doi.org/10.1016/j.margeo.2023.107142

163-23 Ahmad Fitriadhy, Sheikh Fakruradzi, Alamsyah Kurniawan, Nita Yuanita, Anuar Abu Bakar, 3D computational fluid dynamic investigation on wave transmission behind low-crested submerged geo-bag breakwater, CFD Letters, 15.10; 2023. doi.org/10.37934/cfdl.15.10.1222

162-23 Ramtin Sabeti, Landslide-generated tsunami waves-physical and numerical modelling, International Seminar on Tsunami Research, University of Bath, 2023.

161-23 Duy Linh Du, Study on the optimal location for pile-rock breakwater in reducing wave height in Dong Hai District, Bac Lieu Province, Vietnam, Thesis, Can Tho University, 2023.

160-23 Duy Linh Du, Dai Bang Pham, Van Duy Dinh, Tan Ngoc Cao, Van Ty Tran, Gia Bao Tran, Hieu Duc Tran, Modelling the wave reduction effectiveness of pile-rock breakwater using FLOW-3D, (in Vietnamese) Journal of Materials and Construction, 13.04; 2023. doi.org/10.54772/jomc.04.2023.537

151-23 Zhiguo Zhang, Jinpeng Chen, Tong Ye, Zhengguo Zhu, Mengxi Zhang, Yutao Pan, Wave-induced response of seepage pressure around shield tunnel in sand seabed slope, International Journal of Geomechanics, 23.10; 2023. doi.org/10.1061/IJGNAI.GMENG-8072

147-23 Jiale Li, Jijian Lian, Haijun Wang, Yaohua Guo, Sha Liu, Yutong Zhang, FengWu Zhang, Numerical study of the local scour characteristics of bottom-supported installation platforms during the installation of a monopile, Ships and Offshore Structures, 2023. doi.org/10.1080/17445302.2023.2243700

144-23 Weixang Liang, Min Lou, Changhong Fan, Deguang Zhao, Xiang Li, Coupling effect of vortex-induced vibration and local scour of double tandem pipelines in steady current, Ocean Engineering, 286.1; 115495, 2023. doi.org/10.1016/j.oceaneng.2023.11549

136-23 Zegao Yin, Jiahao Li, Yanxu Wang, Haojian Wang, Tianxu Yin, Solitary wave attenuation characteristics of mangroves and multi-parameter prediction model, Ocean Engineering, 285.2; 115372, 2023. doi.org/10.1016/j.oceaneng.2023.115372

130-23 Sheng Wang, Chaozhe Yuan, Yuchi Hao, Xiaowei Yan, Feasibility analysis of laying and construction of deep-water dredging sinking pipeline, The 33rd International Ocean and Polar Engineering Conference, ISOPE-1-23-030, 2023.

127-23 Chen-Shan Kung, Ya-Cing You, Pei-Yu Lee, Siu-Yu Pan, Yu-Chun Chen, The air entrainment effect stability on the marine pipeline, The 33rd International Ocean and Polar Engineering Conference, ISOPE-I-23-242, 2023.

126-23 Yuting Wang, Zhaode Zhang, Yuan Zhang, Numerical simulationa and measurement of artificial flow creation in reclamation projects, The 33rd International Ocean and Polar Engineering Conference, ISOPE-1-23-168, 2023.

125-23 Chen-Shan Kung, Siu-Yu Pan, Pei-Yu Lee, Ya-Cing You, Yu-Chun Chen, Numerical simulation of wave motion on the submarine HDPE pipe system, The 33rd International Ocean and Polar Engineering Conference, ISOPE-I-23-327, 2023.

115-23 Qishun Li, Yanpeng Hao, Peng Zhang, Haotian Tan, Wanxing Tian, Linhao Chen, Lin Yang, Numerical study of the local scouring process and influencing factors of semi-exposed submarine cables, Journal of Marine Science and Engineering, 11.7; 1349, 2023. doi.org/10.3390/jmse11071349

113-23 Minxi Zhang, Hanyan Zhao, Dongliang Zhao, Shaolin Yue, Huan Zhou, Xudong Zhao, Carlo Gualtieri, Guoliang Yu, Numerical study of the flow at a vertical pile with net-like scour protection mat, Journal of Ocean Engineering and Science, 2023. doi.org/10.1016/j.joes.2023.06.002

108-23 Seyed A. Ghaherinezhad, M. Behdarvandi Askar, Investigating effect of changing vegetation height with irregular layout on reduction of waves using FLOW-3D numerical model, Journal of Hydraulic and Water Engineering, 1.1; pp.55-64, 2023. doi.org/10.22044/JHWE.2023.12844.1004

92-23 Tongshun Yu, Xingyu Chen, Yuying Tang, Junrong Wang, Yuqiao Wang, Shuting Huang, Numerical modelling of wave run-up heights and loads on multi-degree-of-freedom buoy wave energy converters, Applied Energy, 344; 121255, 2023. doi.org/10.1016/j.apenergy.2023.121255

85-23 Emilee A. Wissmach, Biomimicry of natural reef hydrodynamics in an artificial spur and groove reef formation, Thesis, Florida Institute of Technology, 2023.

81-23 Zhi Fan, Feifei Cao, Hongda Shi, Numerical simulation on the energy capture spectrum of heaving buoy wave energy converter, Ocean Engineering, 280; 114475, 2023. doi.org/10.1016/j.oceaneng.2023.114475

72-23 Zegao Yin, Fei Wu, Yingni Luan, Xuecong Zhang, Xiutao Jiang, Jie Xiong, Hydrodynamic and aeration characteristics of an aerator of a surging water tank with a vertical baffle under a horizontal sinusoidal motion, Ocean Engineering, 287; 114396, 2023. doi.org/10.1016/j.oceaneng.2023.114396

71-23 Erfan Amini, Mahdieh Nasiri, Navid Salami Pargoo, Zahra Mozhgani, Danial Golbaz, Mehrdad Baniesmaeil, Meysam Majidi Nezhad, Mehdi Neshat, Davide Astiaso Garcia, Georgios Sylaios, Design optimization of ocean renewable energy converter using a combined Bi-level metaheuristic approach, Energy Conversion and Management: X, 19; 100371, 2023. doi.org/10.1016/j.ecmx.2023.100371

70-23 Ali Ghasemi, Rouholla Amirabadi, Ulrich Reza Kamalian, Numerical investigation of hydrodynamic responses and statistical analysis of imposed forces for various geometries of the crown structure of caisson breakwater, Ocean Engineering, 278; 114358, 2023. doi.org/10.1016/j.oceaneng.2023.114358

67-23 Aisyah Dwi Puspasari, Jyh-Haw Tang, Numerical simulation of scouring around groups of six cylinders with different flow directions, Journal of the Chinese Institute of Engineers, 46.4; 2023. doi.org/10.1080/02533839.2023.2194919

62-23 Rob Nairn, Qimiao Lu, Rebecca Quan, Matthew Hoy, Dain Gillen, Data collection and modeling in support of the Mid-Breton Sediment Diversion Project, Coastal Sediments, 2023. doi.org/10.1142/9789811275135_0246

55-23 Yupeng Ren, Hao Tian, Zhiyuan Chen, Guohui Xu, Lejun Liu, Yibing Li, Two kinds of waves causing the resuspension of deep-sea sediments: excitation and internal solitary waves, Journal of Ocean University of China, 22; pp. 429-440, 2023. doi.org/10.1007/s11802-023-5293-2

42-23 Antonija Harasti, Gordon Gilja, Simulation of equilibrium scour hole development around riprap sloping structure using the numerical model, EGU General Assembly, 2023. doi.org/10.5194/egusphere-egu23-6811

25-23 Ke Hu, Xinglan Bai, Murilo A. Vaz, Numerical simulation on the local scour processing and influencing factors of submarine pipeline, Journal of Marine Science and Engineering, 11.1; 234, 2023. doi.org/10.3390/jmse11010234

12-23 Fan Zhang, Zhipeng Zang, Ming Zhao, Jinfeng Zhang, Numerical investigations on scour and flow around two crossing pipelines on a sandy seabed, Journal of Marine Science and Engineering, 10.12; 2019, 2023. doi.org/10.3390/jmse10122019

10-23 Wenshe Zhou, Yongzhou Cheng, Zhiyuan Lin, Numerical simulation of long-wave wave dissipation in near-water flat-plate array breakwaters, Ocean Engineering, 268; 113377, 2023. doi.org/10.1016/j.oceaneng.2022.113377

181-22 Ramtin Sabeti, Mohammad Heidarzadeh, Numerical simulations of water waves generated by subaerial granular and solid-block landslides: Validation, comparison, and predictive equations, Ocean Engineering, 266.3; 112853, 2022. doi.org/10.1016/j.oceaneng.2022.112853

167-22 Zhiyong Zhang, Cunhong Pan, Jian Zeng, Fuyuan Chen, Hao Qin, Kun He, Kui Zhu, Enjin Zhao, Hydrodynamics of tidal bore overflow on the spur dike and its infuence on the local scour, Ocean Engineering, 266.4; 113140, 2022. doi.org/10.1016/j.oceaneng.2022.113140

166-22 Nguyet-Minh Nguyen, Duong Do Van, Duy Tu Le, Quyen Nguyen, Bang Tran, Thanh Cong Nguyen, David Wright, Ahad Hasan Tanim, Phong Nguyen Thanh, Duong Tran Anh, Physical and numerical modeling of four different shapes of breakwaters to test the suspended sediment trapping capacity in the Mekong Delta, Estuarine, Coastal and Shelf Science, 279; 108141, 2022. doi.org/10.1016/j.ecss.2022.108141

163-22 Sahameddin Mahmoudi Kurdistani, Giuseppe Roberto Tomasicchio, Felice D’Alessandro, Antonio Francone, Formula for wave transmission at submerged homogeneous porous breakwaters, Ocean Engineering, 266.4; 113053, 2022. doi.org/10.1016/j.oceaneng.2022.113053

162-22 Kai Wei, Xueshuang Yin, Numerical study into configuration of horizontal flanges on hydrodynamic performance of moored box-type floating breakwater, Ocean Engineering, 266.4; 112991, 2022. doi.org/10.1016/j.oceaneng.2022.112991

161-22 Sung-Chul Jang, Jin-Yong Jeong, Seung-Woo Lee, Dongha Kim, Identifying hydraulic characteristics related to fishery activities using numerical analysis and an automatic identification system of a fishing vessel, Journal of Marine Science and Engineering, 10; 1619, 2022. doi.org/10.3390/jmse10111619

156-22 Keith Adams, Mohammad Heidarzadeh, Extratropical cyclone damage to the seawall in Dawlish, UK: Eyewitness accounts, sea level analysis and numerical modelling, Natural Hazards, 2022. doi.org/10.1007/s11069-022-05692-2

155-22 Youxiang Lu, Zhenlu Wang, Zegao Yin, Guoxiang Wu, Bingchen Liang, Experimental and numerical studies on local scour around closely spaced circular piles under the action of steady current, Journal of Marine Science and Engineering, 10; 1569, 2022. doi.org/10.3390/jmse10111569

152-22 Nauman Riyaz Maldar, Ng Cheng Yee, Elif Oguz, Shwetank Krishna, Performance investigation of a drag-based hydrokinetic turbine considering the effect of deflector, flow velocity, and blade shape, Ocean Engineering, 266.2; 112765, 2022. doi.org/10.1016/j.oceaneng.2022.112765

148-22 Ramtin Sabeti, Mohammad Heidarzadeh, Numerical simulations of water waves generated by subaerial granular and solid-block landslides: Validation, comparison, and predictive equations, Ocean Engineering, 266.3; 112853, 2022. doi.org/10.1016/j.oceaneng.2022.112853

145-22 I-Fan Tseng, Chih-Hung Hsu, Po-Hung Yeh, Ting-Chieh Lin, Physical mechanism for seabed scouring around a breakwater—a case study in Mailiao Port, Journal of Marine Science and Engineering, 10; 1386, 2022. doi.org/10.3390/jmse10101386

144-22 Jiarui Yu, Baozeng Yue, Bole Ma, Isogeometric analysis with level set method for large-amplitude liquid sloshing, Ocean Engineering, 265; 112613, 2022. doi.org/10.1016/j.oceaneng.2022.112613

141-22 Qi Yang, Peng Yu, Hongjun Liu, Computational investigation of scour characteristics of USAF in multi-specie sand under steady current, Ocean Engineering, 262; 112141, 2022. doi.org/10.1016/j.oceaneng.2022.112141

128-22 Atish Deoraj, Calvin Wells, Justin Pringle, Derek Stretch, On the reef scale hydrodynamics at Sodwana Bay, South Africa, Environmental Fluid Mechanics, 2022. doi.org/10.1007/s10652-022-09896-9

108-22 Angela Di Leo, Mariano Buccino, Fabio Dentale, Eugenio Pugliese Carratelli, CFD analysis of wind effect on wave overtopping, 32nd International Ocean and Polar Engineering Conference, ISOPE-I-22-428, 2022.

105-22 Pin-Tzu Su, Chen-shan Kung, Effects of currents and sediment flushing on marine pipes, 32nd International Ocean and Polar Engineering Conference, ISOPE-I-22-153, 2022.

89-22 Kai Wei, Cong Zhou, Bo Xu, Spatial distribution models of horizontal and vertical wave impact pressure on the elevated box structure, Applied Ocean Research, 125; 103245, 2022. doi.org/10.1016/j.apor.2022.103245

87-22 Tran Thuy Linh, Numerical modelling (3D) of wave interaction with porous structures in the Mekong Delta coastal zone, Thesis, Ho Chi Minh City University of Technology, 2022.

82-22 Seyyed-Mahmood Ghassemizadeh, Mohammad Javad Ketabdari, Modeling of solitary wave interaction with curved-facing seawalls using numerical method, Advances in Civil Engineering, 5649637, 2022. doi.org/10.1155/2022/5649637

81-22 Raphael Alwan, Boyin Ding, David M. Skene, Zhaobin Li, Luke G. Bennetts, On the structure of waves radiated by a submerged cylinder undergoing large-amplitude heave motions, 32nd International Ocean and Polar Engineering Conference, Shanghai, China, June 5-10, 2022. doi.org/10.1111/jfr3.12828

77-22 Weiyun Chen, Linchong Huang, Dan Wang, Chao Liu, Lingyu Xu, Zhi Ding, Effects of siltation and desiltation on the wave-induced stability of foundation trench of immersed tunnel, Soil Dynamics and Earthquake Engineering, 160; 107360, 2022. doi.org/10.1016/j.soildyn.2022.107360

63-22 Yongzhou Cheng, Zhiyuan Lin, Gan Hu, Xing Lyu, Numerical simulation of the hydrodynamic characteristics of the porous I-type composite breakwater, Journal of Marine Science and Application, 21; pp. 140-150, 2022. doi.org/10.1007/s11804-022-00251-4

37-22 Ray-Yeng Yang, Chuan-Wen Wang, Chin-Cheng Huang, Cheng-Hsien Chung, Chung-Pang, Chen, Chih-Jung Huang, The 1:20 scaled hydraulic model test and field experiment of barge-type floating offshore wind turbine system, Ocean Engineering, 247.1; 110486, 2022. doi.org/10.1016/j.oceaneng.2021.110486

35-22 Mingchao Cui, Zhisong Li, Chenglin Zhang, Xiaoyu Guo, Statistical investigation into the flow field of closed aquaculture tanks aboard a platform under periodic oscillation, Ocean Engineering, 248; 110677, 2022. doi.org/10.1016/j.oceaneng.2022.110677

30-22 Jijian Lian, Jiale Li, Yaohua Guo, Haijun Wang, Xu Yang, Numerical study on local scour characteristics of multi-bucket jacket foundation considering exposed height, Applied Ocean Research, 121; 103092. doi.org/10.1016/j.apor.2022.103092

19-22 J.J. Wiegerink, T.E. Baldock, D.P. Callaghan, C.M. Wang, Slosh suppression blocks – A concept for mitigating fluid motions in floating closed containment fish pen in high energy environments, Applied Ocean Research, 120; 103068, 2022. doi.org/10.1016/j.apor.2022.103068

9-22 Amir Bordbar, Soroosh Sharifi, Hassan Hemida, Investigation of scour around two side-by-side piles with different spacing ratios in live-bed, Lecture Notes in Civil Engineering, 208; pp. 302-309, 2022. doi.org/10.1007/978-981-16-7735-9_33

7-22 Jinzhao Li, Xuan Kong, Yilin Yang, Lu Deng, Wen Xiong, CFD investigations of tsunami-induced scour around bridge piers, Ocean Engineering, 244; 110373, 2022. doi.org/10.1016/j.oceaneng.2021.110373

3-22 Ana Gomes, José Pinho, Wave loads assessment on coastal structures at inundation risk using CFD modelling, Climate Change and Water Security, 178; pp. 207-218, 2022. doi.org/10.1007/978-981-16-5501-2_17

2-22 Ramtin Sabeti, Mohammad Heidarzadeh, Numerical simulations of tsunami wave generation by submarine landslides: Validation and sensitivity analysis to landslide parameters, Journal of Waterway, Port, Coastal, and Ocean Engineering, 148.2; 05021016, 2022. doi.org/10.1061/(ASCE)WW.1943-5460.0000694

146-21 Ming-ming Liu, Hao-cheng Wang, Guo-qiang Tang, Fei-fei Shao, Xin Jin, Investigation of local scour around two vertical piles by using numerical method, Ocean Engineering, 244; 110405, 2021. doi.org/10.1016/j.oceaneng.2021.110405

135-21 Jian Guo, Jiyi Wu, Tao Wang, Prediction of local scour depth of sea-crossing bridges based on the energy balance theory, Ships and Offshore Structures, 16.10, 2021. doi.org/10.1080/17445302.2021.2005362

133-21 Sahel Sohrabi, Mohamad Ali Lofollahi Yaghin, Mohamad Hosein Aminfar, Alireza Mojtahedi, Experimental and numerical investigation of hydrodynamic performance of a sloping floating breakwater with and without chain-net, Iranian Journal of Science and Technology: Transactions of Civil Engineering, , 2021. doi.org/10.1007/s40996-021-00780-y

131-21 Seyed Morteza Marashian, Mehdi Adjami, Ahmad Rezaee Mazyak, Numerical modelling investigation of wave interaction on composite berm breakwater, China Ocean Engineering, 35; pp. 631-645, 2021. doi.org/10.1007/s13344-021-0060-x

124-21 Ramin Safari Ghaleh, Omid Aminoroayaie Yamini, S. Hooman Mousavi, Mohammad Reza Kavianpour, Numerical modeling of failure mechanisms in articulated concrete block mattress as a sustainable coastal protection structure, Sustainability, 13.22; pp. 1-19, 2021.

118-21 A. Keshavarz, M. Vaghefi, G. Ahmadi, Investigation of flow patterns around rectangular and oblong peirs with collar located in a 180-degree sharp bend, Scientia Iranica A, 28.5; pp. 2479-2492, 2021.

109-21 Jacek Jachowski, Edyta Książkiewicz, Izabela Szwoch, Determination of the aerodynamic drag of pneumatic life rafts as a factor for increasing the reliability of rescue operations, Polish Maritime Research, 28.3; p. 128-136, 2021. doi.org/10.2478/pomr-2021-0040

107-21 Jiay Han, Bing Zhu, Baojie Lu, Hao Ding, Ke Li, Liang Cheng, Bo Huang, The influence of incident angles and length-diameter ratios on the round-ended cylinder under regular wave action, Ocean Engineering, 240; 109980, 2021. doi.org/10.1016/j.oceaneng.2021.109980

96-21 Andrea Franco, Jasper Moernaut, Barbara Schneider-Muntau, Michael Strasser, Bernhard Gems, Triggers and consequences of landslide-induced impulse waves – 3D dynamic reconstruction of the Taan Fiord 2015 tsunami event, Engineering Geology, 294; 106384, 2021. doi.org/10.1016/j.enggeo.2021.106384

95-21 Ahmed A. Romya, Hossam M. Moghazy, M.M. Iskander, Ahmed M. Abdelrazek, Performance assessment of corrugated semi-circular breakwaters for coastal protection, Alexandria Engineering Journal, in press, 2021. doi.org/10.1016/j.aej.2021.08.086

87-21 Ruigeng Hu, Hongjun Liu, Hao Leng, Peng Yu, Xiuhai Wang, Scour characteristics and equilibrium scour depth prediction around umbrella suction anchor foundation under random waves, Journal of Marine Science and Engineering, 9; 886, 2021. doi.org/10.3390/jmse9080886

78-21 Sahir Asrari, Habib Hakimzadeh, Nazila Kardan, Investigation on the local scour beneath piggyback pipelines under clear-water conditions, China Ocean Engineering, 35; pp. 422-431, 2021. doi.org/10.1007/s13344-021-0039-7

64-21 Pin-Tzu Su, Chen-shan Kung, Effects of diffusers on discharging jet, 31st International Ocean and Polar Engineering Conference (ISOPE), Rhodes, Greece, June 20-25, 2021.

62-21 Fei Wu, Wei Li, Shuzhao Li, Xiaopeng Shen, Delong Dong, Numerical simulation of scour of backfill soil by jetting flows on the top of buried caisson, 31st International Ocean and Polar Engineering Conference (ISOPE), Rhodes, Greece, June 20-25, 2021.

56-21 Murat Aksel, Oral Yagci, V.S. Ozgur Kirca, Eryilmaz Erdog, Naghmeh Heidari, A comparitive analysis of coherent structures around a pile over rigid-bed and scoured-bottom, Ocean Engineering, 226; 108759, 2021. doi.org/10.1016/j.oceaneng.2021.108759

52-21 Byeong Wook Lee, Changhoon Lee, Equation for ship wave crests in a uniform current in the entire range of water depths, Coastal Engineering, 167; 103900, 2021. doi.org/10.1016/j.coastaleng.2021.103900

43-21 Agnieszka Faulkner, Claire E. Bulgin, Christopher J. Merchant, Characterising industrial thermal plumes in coastal regions using 3-D numerical simulations, Environmental Research Communications, 3; 045003, 2021. doi.org/10.1088/2515-7620/abf62e

39-21 Fan Yang, Yiqi Zhang, Chao Liu, Tieli Wang, Dongin Jiang, Yan Jin, Numerical and experimental investigations of flow pattern and anti-vortex measures of forebay in a multi-unit pumping station, Water, 13.7; 935, 2021. doi.org/10.3390/w13070935

30-21 Norfadhlina Khalid, Aqil Azraie Che Shamshudin, Megat Khalid Puteri Zarina, Analysis on wave generation and hull: Modification for fishing vessels, Advanced Engineering for Processes and Technologies II: Advanced Structured Materials, 147; pp. 77-89, 2021. doi.org/10.1007/978-3-030-67307-9_9

28-21 Jae-Sang Jung, Jae-Seon Yoon, Seokkoo Kang, Seokil Jeong, Seung Oh Lee, Yong-Sung Park, Discharge characteristics of drainage gates on Saemangeum tidal dyke, South Korea, KSCE Journal of Engineering, 25; pp. 1308-1325, 2021. doi.org/10.1007/s12205-021-0590-z

24-21 Ali Temel, Mustafa Dogan, Time dependent investigation of the wave induced scour at the trunk section of a rubble mound breakwater, Ocean Engineering, 221; 108564, 2021. doi.org/10.1016/j.oceaneng.2020.108564

13-21 P.X. Zou, L.Z. Chen, The coupled tube-mooring system SFT hydrodynamic characteristics under wave excitations, Proceedings, 14th International Conference on Vibration Problems, Crete, Greece, September 1 – 4, 2019, pp. 907-923, 2021. doi.org/10.1007/978-981-15-8049-9_55

122-20 M.A. Musa, M.F. Roslan, M.F. Ahmad, A.M. Muzathik, M.A. Mustapa, A. Fitriadhy, M.H. Mohd, M.A.A. Rahman, The influence of ramp shape parameters on performance of overtopping breakwater for energy conversion, Journal of Marine Science and Engineering, 8.11; 875, 2020. doi.org/10.3390/jmse8110875

120-20 Lee Hooi Chie, Ahmad Khairi Abd Wahab, Derivation of engineering design criteria for flow field around intake structure: A numerical simulation study, Journal of Marine Science and Engineering, 8.10; 827, 2020. doi.org/10.3390/jmse8100827

109-20 Mario Maiolo, Riccardo Alvise Mel, Salvatore Sinopoli, A stepwise approach to beach restoration at Calabaia Beach, Water, 12.10; 2677, 2020. doi.org/10.3390/w12102677

107-20 S. Deshpande, P. Sundsbø, S. Das, Ship resistance analysis using CFD simulations in Flow-3D, International Journal of Multiphysics, 14.3; pp. 227-236, 2020. doi.org/10.21152/1750-9548.14.3.227

103-20 Mahmood Nematollahi, Mohammad Navim Moghid, Numerical simulation of spatial distribution of wave overtopping on non-reshaping berm breakwaters, Journal of Marine Science and Application, 19; pp. 301-316, 2020. doi.org/10.1007/s11804-020-00147-1

98-20 Lin Zhao, Ning Wang, Qian Li, Analysis of flow characteristics and wave dissipation performances of a new structure, Proceedings, 30th International Ocean and Polar Engineering Conference (ISOPE), Online, October 11-16, ISOPE-I-20-3289, 2020.

96-20 Xiaoyu Guo, Zhisong Li, Mingchao Cui, Benlong Wang, Numerical investigation on flow characteristics of water in the fish tank on a force-rolling aquaculture platform, Ocean Engineering, 217; 107936, 2020. doi.org/10.1016/j.oceaneng.2020.107936

92-20 Yong-Jun Cho, Scour controlling effect of hybrid mono-pile as a substructure of offshore wind turbine: A numerical study, Journal of Marine Science and Engineering, 8.9; 637, 2020. doi.org/10.3390/jmse8090637

89-20 Andrea Franco, Jasper Moernaut, Barbara Schneider-Muntau, Michael Strasser, Bernhard Gems, The
1958 Lituya Bay tsunami – pre-event bathymetry reconstruction and 3D numerical modelling utilising the computational fluid dynamics software
Flow-3D, Natural Hazards and Earth Systems Sciences, 20; pp. 2255–2279, 2020. doi.org/10.5194/nhess-20-2255-2020

81-20 Eliseo Marchesi, Marco Negri, Stefano Malavasi, Development and analysis of a numerical model for a two-oscillating-body wave energy converter in shallow water, Ocean Engineering, 214; 107765, 2020. doi.org/10.1016/j.oceaneng.2020.107765

79-20 Zegao Yin, Yanxu Wang, Yong Liu, Wei Zou, Wave attenuation by rigid emergent vegetation under combined wave and current flows, Ocean Engineering, 213; 107632, 2020. doi.org/10.1016/j.oceaneng.2020.107632

71-20 B. Pan, N. Belyaev, FLOW-3D software for substantiation the layout of the port water area, IOP Conference Series: Materials Science and Engineering, Construction Mechanics, Hydraulics and Water Resources Engineering (CONMECHYDRO), Tashkent, Uzbekistan, 23-25 April, 883; 012020, 2020. doi.org/10.1088/1757-899X/883/1/012020

51-20 Yupeng Ren, Xingbei Xu, Guohui Xu, Zhiqin Liu, Measurement and calculation of particle trajectory of liquefied soil under wave action, Applied Ocean Research, 101; 102202, 2020. doi.org/10.1016/j.apor.2020.102202

50-20 C.C. Battiston, F.A. Bombardelli, E.B.C. Schettini, M.G. Marques, Mean flow and turbulence statistics through a sluice gate in a navigation lock system: A numerical study, European Journal of Mechanics – B/Fluids, 84; pp.155-163, 2020. doi.org/10.1016/j.euromechflu.2020.06.003

49-20 Ahmad Fitriadhy, Nur Amira Adam, Nurul Aqilah Mansor, Mohammad Fadhli Ahmad, Ahmad Jusoh, Noraieni Hj. Mokhtar, Mohd Sofiyan Sulaiman, CFD investigation into the effect of heave plate on vertical motion responses of a floating jetty, CFD Letters, 12.5; pp. 24-35, 2020. doi.org/10.37934/cfdl.12.5.2435

40-20 P. April Le Quéré, I. Nistor, A. Mohammadian, Numerical modeling of tsunami-induced scouring around a square column: Performance assessment of FLOW-3D and Delft3D, Journal of Coastal Research (preprint), 2020. doi.org/10.2112/JCOASTRES-D-19-00181

38-20 Sahameddin Mahmoudi Kurdistani, Giuseppe Roberto Tomasicchio, Daniele Conte, Stefano Mascetti, Sensitivity analysis of existing exponential empirical formulas for pore pressure distribution inside breakwater core using numerical modeling, Italian Journal of Engineering Geology and Environment, 1; pp. 65-71, 2020. doi.org/10.4408/IJEGE.2020-01.S-08

36-20 Mohammadamin Torabi, Bruce Savage, Efficiency improvement of a novel submerged oscillating water column (SOWC) energy harvester, Proceedings, World Environmental and Water Resources Congress (Cancelled), Henderson, Nevada, May 17–21, 2020. doi.org/10.1061/9780784482940.003

32-20 Adriano Henrique Tognato, Modelagem CFD da interação entre hidrodinâmica costeira e quebra-mar submerso: estudo de caso da Ponta da Praia em Santos, SP (CFD modeling of interaction between sea waves and submerged breakwater at Ponta de Praia – Santos, SP: a case study, Thesis, Universidad Estadual de Campinas, Campinas, Brazil, 2020.

29-20 Ana Gomes, José L. S. Pinho, Tiago Valente, José S. Antunes do Carmo and Arkal V. Hegde, Performance assessment of a semi-circular breakwater through CFD modelling, Journal of Marine Science and Engineering, 8.3, art. no. 226, 2020. doi.org/10.3390/jmse8030226

23-20 Qi Yang, Peng Yu, Yifan Liu, Hongjun Liu, Peng Zhang and Quandi Wang, Scour characteristics of an offshore umbrella suction anchor foundation under the combined actions of waves and currents, Ocean Engineering, 202, art. no. 106701, 2020. doi.org/10.1016/j.oceaneng.2019.106701

04-20 Bingchen Liang, Shengtao Du, Xinying Pan and Libang Zhang, Local scour for vertical piles in steady currents: review of mechanisms, influencing factors and empirical equations, Journal of Marine Science and Engineering, 8.1, art. no. 4, 2020. doi.org/10.3390/jmse8010004

104-19 A. Fitriadhy, S.F. Abdullah, M. Hairil, M.F. Ahmad and A. Jusoh, Optimized modelling on lateral separation of twin pontoon-net floating breakwater, Journal of Mechanical Engineering and Sciences, 13.4, pp. 5764-5779, 2019. doi.org/10.15282/jmes.13.4.2019.04.0460

103-19 Ahmad Fitriadhy, Nurul Aqilah Mansor, Nur Adlina Aldin and Adi Maimun, CFD analysis on course stability of an asymmetrical bridle towline model of a towed ship, CFD Letters, 11.12, pp. 43-52, 2019.

90-19 Eric P. Lemont and Karthik Ramaswamy, Computational fluid dynamics in coastal engineering: Verification of a breakwater design in the Torres Strait, Proceedings, pp. 762-768, Australian Coasts and Ports 2019 Conference, Hobart, Australia, September 10-13, 2019.

86-19 Mohammed Arab Fatiha, Benoît Augier, François Deniset, Pascal Casari, and Jacques André Astolfi, Morphing hydrofoil model driven by compliant composite structure and internal pressure, Journal of Marine Science and Engineering, 7:423, 2019. doi.org/10.3390/jmse7120423

83-19 Cong-Uy Nguyen, So-Young Lee, Thanh-Canh Huynh, Heon-Tae Kim, and Jeong-Tae Kim, Vibration characteristics of offshore wind turbine tower with gravity-based foundation under wave excitation, Smart Structures and Systems, 23:5, pp. 405-420, 2019. doi.org/10.12989/sss.2019.23.5.405

68-19 B.W. Lee and C. Lee, Development of an equation for ship wave crests in a current in whole water depths, Proceedings, 10th International Conference on Asian and Pacific Coasts (APAC 2019), Hanoi, Vietnam, September 25-28, 2019; pp. 207-212, 2019. doi.org/10.1007/978-981-15-0291-0_29

62-19 Byeong Wook Lee and Changhoon Lee, Equation for ship wave crests in the entire range of water depths, Coastal Engineering, 153:103542, 2019. doi.org/10.1016/j.coastaleng.2019.103542

23-19 Mariano Buccino, Mohammad Daliri, Fabio Dentale, Angela Di Leo, and Mario Calabrese, CFD experiments on a low crested sloping top caisson breakwater, Part 1: Nature of loadings and global stability, Ocean Engineering, Vol. 182, pp. 259-282, 2019. doi.org/10.1016/j.oceaneng.2019.04.017

21-19 Mahsa Ghazian Arabi, Deniz Velioglu Sogut, Ali Khosronejad, Ahmet C. Yalciner, and Ali Farhadzadeh, A numerical and experimental study of local hydrodynamics due to interactions between a solitary wave and an impervious structure, Coastal Engineering, Vol. 147, pp. 43-62, 2019. doi.org/10.1016/j.coastaleng.2019.02.004

15-19 Chencong Liao, Jinjian Chen, and Yizhou Zhang, Accumulation of pore water pressure in a homogeneous sandy seabed around a rocking mono-pile subjected to wave loads, Vol. 173, pp. 810-822, 2019. doi.org/10.1016/j.oceaneng.2018.12.072

09-19 Yaoyong Chen, Guoxu Niu, and Yuliang Ma, Study on hydrodynamics of a new comb-type floating breakwater fixed on the water surface, 2018 International Symposium on Architecture Research Frontiers and Ecological Environment (ARFEE 2018), Wuhan, China, December 14-16, 2018, E3S Web of Conferences Vol. 79, Art. No. 02003, 2019. doi.org/10.1051/e3sconf/20197902003

08-19 Hongda Shi, Zhi Han, and Chenyu Zhao, Numerical study on the optimization design of the conical bottom heaving buoy convertor, Ocean Engineering, Vol. 173, pp. 235-243, 2019. doi.org/10.1016/j.oceaneng.2018.12.061

06-19 S. Hemavathi, R. Manjula and N. Ponmani, Numerical modelling and experimental investigation on the effect of wave attenuation due to coastal vegetation, Proceedings of the Fourth International Conference in Ocean Engineering (ICOE2018), Vol. 2, pp. 99-110, 2019. doi.org/10.1007/978-981-13-3134-3_9

87-18 Muhammad Syazwan Bazli, Omar Yaakob and Kang Hooi Siang, Validation study of u-oscillating water column device using computational fluid dynamic (CFD) simulation, 11^thInternational Conference on Marine Technology, Kuala Lumpur, Malaysia, August 13-14, 2018.

86-18 Nur Adlina Aldin, Ahmad Fitriadhy, Nurul Aqilah Mansor, and Adi Maimun, CFD analysis on unsteady yaw motion characteristic of a towed ship, 11^th International Conference on Marine Technology, Kuala Lumpur, Malaysia, August 13-14, 2018.

78-18 A.A. Abo Zaid, W.E. Mahmod, A.S. Koraim, E.M. Heikal and H.E. Fath, Wave interaction of partially immersed semicircular breakwater suspended on piles using FLOW-3D, CSME Conference Proceedings, Toronto, Canada, May 27-30, 2018.

73-18 Jian Zhou and Subhas K. Venayagamoorthy, Near-field mean flow dynamics of a cylindrical canopy patch suspended in deep water, Journal of Fluid Mechanics, Vol. 858, pp. 634-655, 2018. doi.org/10.1017/jfm.2018.775

69-18 Keisuke Yoshida, Shiro Maeno, Tomihiro Iiboshi and Daisuke Araki, Estimation of hydrodynamic forces acting on concrete blocks of toe protection works for coastal dikes by tsunami overflows, Applied Ocean Research, Vol. 80, pp. 181-196, 2018. doi.org/10.1016/j.apor.2018.09.001

68-18 Zegao Yin, Yanxu Wang and Xiaoyu Yang, Regular wave run-up attenuation on a slope by emergent rigid vegetation, Journal of Coastal Research (in-press), 2018. doi.org/10.2112/JCOASTRES-D-17-00200.1

65-18 Dagui Tong, Chencong Liao, Jinjian Chen and Qi Zhang, Numerical simulation of a sandy seabed response to water surface waves propagating on current, Journal of Marine Science and Engineering, Vol. 6, No. 3, 2018. doi.org/10.3390/jmse6030088

61-18 Manuel Gerardo Verduzco-Zapata, Aramis Olivos-Ortiz, Marco Liñán-Cabello, Christian Ortega-Ortiz, Marco Galicia-Pérez, Chris Matthews, and Omar Cervantes-Rosas, Development of a Desalination System Driven by Low Energy Ocean Surface Waves, Journal of Coastal Research: Special Issue 85 – Proceedings of the 15th International Coastal Symposium, pp. 1321 – 1325, 2018. doi.org/10.2112/SI85-265.1

37-18 Songsen Xu, Chunshuo Jiao, Meng Ning and Sheng Dong, Analysis of Buoyancy Module Auxiliary Installation Technology Based on Numerical Simulation, Journal of Ocean University of China, vol. 17, no. 2, pp. 267-280, 2018. doi.org/10.1007/s11802-018-3305-4

36-18 Deniz Velioglu Sogut and Ahmet Cevdet Yalciner, Performance comparison of NAMI DANCE and FLOW-3D® models in tsunami propagation, inundation and currents using NTHMP benchmark problems, Pure and Applied Geophysics, pp. 1-39, 2018. doi.org/10.1007/s00024-018-1907-9

26-18 Mohammad Sarfaraz and Ali Pak, Numerical investigation of the stability of armour units in low-crested breakwaters using combined SPH–Polyhedral DEM method, Journal of Fluids and Structures, vol. 81, pp. 14-35, 2018. doi.org/10.1016/j.jfluidstructs.2018.04.016

25-18 Yen-Lung Chen and Shih-Chun Hsiao, Numerical modeling of a buoyant round jet under regular waves, Ocean Engineering, vol. 161, pp. 154-167, 2018. doi.org/10.1016/j.oceaneng.2018.04.093

13-18 Yizhou Zhang, Chencong Liao, Jinjian Chen, Dagui Tong, and Jianhua Wang, Numerical analysis of interaction between seabed and mono-pile subjected to dynamic wave loadings considering the pile rocking effect, Ocean Engineering, Volume 155, 1 May 2018, Pages 173-188, doi.org/10.1016/j.oceaneng.2018.02.041

11-18 Ching-Piao Tsai, Chun-Han Ko and Ying-Chi Chen, Investigation on Performance of a Modified Breakwater-Integrated OWC Wave Energy Converter, Open Access Sustainability 2018, 10(3), 643; doi:10.3390/su10030643, © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018.

58-17 Jian Zhou, Claudia Cenedese, Tim Williams and Megan Ball, On the propagation of gravity currents over and through a submerged array of circular cylinders, Journal of Fluid Mechanics, Vol. 831, pp. 394-417, 2017. doi.org/10.1017/jfm.2017.604

56-17 Yu-Shu Kuo, Chih-Yin Chung, Shih-Chun Hsiao and Yu-Kai Wang, Hydrodynamic characteristics of Oscillating Water Column caisson breakwaters, Renewable Energy, vol. 103, pp. 439-447, 2017. doi.org/10.1016/j.renene.2016.11.028

47-17 Jae-Nam Cho, Chang-Geun Song, Kyu-Nam Hwang and Seung-Oh Lee, Experimental assessment of suspended sediment concentration changed by solitary wave, Journal of Marine Science and Technology, Vol. 25, No. 6, pp. 649-655 (2017) 649 DOI: 10.6119/JMST-017-1226-04

45-17 Muhammad Aldhiansyah Rifqi Fauzi, Haryo Dwito Armono, Mahmud Mustain and Aniendhita Rizki Amalia, Comparison Study of Various Type Artificial Reef Performance in Reducing Wave Height, Regional Conference in Civil Engineering (RCCE) 430 The Third International Conference on Civil Engineering Research (ICCER) August 1st-2nd 2017, Surabaya – Indonesia.

44-17 Fabio Dentale, Ferdinando Reale, Angela Di Leo, and Eugenio Pugliese Carratelli, A CFD approach to rubble mound breakwater design, International Journal of Naval Architecture and Ocean Engineering, Available online 30 December 2017.

39-17 Milad Rashidinasab and Mehdi Behdarvandi Askar, Modeling the Pressure Distribution and the Changes of Water Level around the Offshore Platforms Exposed to Waves, Using the Numerical Model of FLOW-3D, Computational Water, Energy, and Environmental Engineering, 2017, 6, 97-106, http://www.scirp.org/journal/cweee, ISSN Online: 2168-1570, ISSN Print: 2168-1562

30-17 Omid Nourani and Mehdi Behdarvandi Askar, Comparison of the Effect of Tetrapod Block and Armor X block on Reducing Wave Overtopping in Breakwaters, Open Journal of Marine Science, 2017, 7, 472-484 http://www.scirp.org/journal/ojms ISSN Online: 2161-7392.

29-17 J.A. Vasquez, Modelling the generation and propagation of landslide generated waves, Leadership in Sustainable Infrastructure, Annual Conference – Vancouver, May 31 – June 3, 2017

28-17 Manuel G. Verduzco-Zapata, Francisco J. Ocampo-Torres, Chris Matthews, Aramis Olivos-Ortiz, Diego E. and Galván-Pozos, Development of a Wave Powered Desalination Device Numerical Modelling, Proceedings of the 12th European Wave and Tidal Energy Conference 27th Aug -1st Sept 2017, Cork, Ireland

20-17 Chu-Kuan Lin, Jaw-Guei Lin, Ya-Lan Chen, Chin-Shen Chang, Seabed Change and Soil Resistance Assessment of Jack up Foundation, Proceedings of the Twenty-seventh (2017) International Ocean and Polar Engineering Conference, San Francisco, CA, USA, June 25-30, 2017, Copyright © 2017 by the International Society of Offshore and Polar Engineers (ISOPE), ISBN 978-1-880653-97-5; ISSN 1098-6189.

19-17 Velioğlu Deniz, Advanced Two- and Three-Dimensional Tsunami – Models Benchmarking and Validation, Ph.D Thesis:, Middle East Technical University, June 2017

18-17 Farrokh Mahnamfar and Abdüsselam Altunkaynak, Comparison of numerical and experimental analyses for optimizing the geometry of OWC systems, Ocean Engineering 130 (2017) 10–24.

07-17 Jonas Čerka, Rima Mickevičienė, Žydrūnas Ašmontas, Lukas Norkevičius, Tomas Žapnickas, Vasilij Djačkov and Peilin Zhou, Optimization of the research vessel hull form by using numerical simulation, Ocean Engineering 139 (2017) 33–38

05-17 Liang, B.; Ma, S.; Pan, X., and Lee, D.Y., Numerical modelling of wave run-up with interaction between wave and dolosse breakwater, In: Lee, J.L.; Griffiths, T.; Lotan, A.; Suh, K.-S., and Lee, J. (eds.), 2017, The 2nd International Water Safety Symposium. Journal of Coastal Research, Special Issue No. 79, pp. 294-298. Coconut Creek (Florida), ISSN 0749-0208.

02-17 A. Yazid Maliki, M. Azlan Musa, Ahmad M.F., Zamri I., Omar Y., Comparison of numerical and experimental results for overtopping discharge of the OBREC wave energy converter, Journal of Engineering Science and Technology, In Press, © School of Engineering, Taylor’s University

01-17 Tanvir Sayeed, Bruce Colbourne, David Molyneux, Ayhan Akinturk, Experimental and numerical investigation of wave forces on partially submerged bodies in close proximity to a fixed structure, Ocean Engineering, Volume 132, Pages 70–91, March 2017

101-16 Xin Li, Liang-yu Xu, Jian-Min Yang, Study of fluid resonance between two side-by-side floating barges, Journal of Hydrodynamics, vol. B-28, no. 5, pp. 767-777, 2016. doi.org/10.1016/S1001-6058(16)60679-0

81-16 Loretta Gnavi, Deep water challenges: development of depositional models to support geohazard assessment for submarine facilities, Ph.D. Thesis: Politecnico di Torino, May 2016

80-16 Mohammed Ibrahim, Hany Ahmed, Mostafa Abd Alall and A.S. Koraim, Proposing and investigating the efficiency of vertical perforated breakwater, International Journal of Scientific & Engineering Research, Volume 7, Issue 3, March 2016, ISSN 2229-5518

72-16 Yen-Lung Chen and Shih-Chun Hsiao, Generation of 3D water waves using mass source wavemaker applied to Navier–Stokes model, Coastal Engineering 109 (2016) 76–95.

64-16 Jae Nam Cho, Dong Hyun Kim and Seung Oh Lee, Experimental Study of Shape and Pressure Characteristics of Solitary Wave generated by Sluice Gate for Various Conditions, Journal of the Korean Society of Safety, Vol. 31, No. 2, pp. 70-75, April 2016, Copyright @ 2016 by The Korean Society of Safety (pISSN 1738-3803, eISSN 2383-9953) All right reserved. http://dx.doi.org/10.14346/JKOSOS.2016.31.2.70

56-16 Ali A. Babajani, Mohammad Jafari and Parinaz Hafezi Sefat, Numerical investigation of distance effect between two Searasers for hydrodynamic performance, Alexandria Engineering Journal, June 2016.

53-16 Hwang-Ki Lee, Byeong-Kuk Kim, Jongkyu Kim and Hyeon-Ju Kim, OTEC thermal dispersion in coastal waters of Tarawa, Kiribati, OCEANS 2016 – Shanghai, April 2016, 10.1109/OCEANSAP.2016.7485548, © IEEE.

50-16 Mohsin A. R. Irkal, S. Nallayarasu and S. K. Bhattacharyya, CFD simulation of roll damping characteristics of a ship midsection with bilge keel, Proceedings of the ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering, OMAE2016, June 19-24, 2016, Busan, South Korea

49-16 Bill Baird, Seth Logan, Wim Van Der Molen, Trevor Elliot and Don Zimmer, Thoughts on the future of physical models in coastal engineering, Proceedings of the 6th International Conference on the Application of Physical Modelling in Coastal and Port Engineering and Science (Coastlab16) Ottawa, Canada, May 10-13, 2016 Copyright ©: Creative Commons CC BY-NC-ND 4.0

47-16 KH Kim et. al, Numerical analysis on the effects of shoal on the ship wave, Applied Engineering, Materials and Mechanics: Proceedings of the 2016 International Conference on Applied Engineering, Materials and Mechanics (ICAEMM 2016)

17-16 Nan-Jing Wu, Shih-Chun Hsiao, Hsin-Hung Chen, and Ray-Yeng Yang, The study on solitary waves generated by a piston-type wave maker, Ocean Engineering, 117(2016)114–129

13-16 Maryam Deilami-Tarifi, Mehdi Behdarvandi-Askar, Vahid Chegini, and Sadegh Haghighi-Pou, Modeling of the Changes in Flow Velocity on Seawalls under Different Conditions Using FLOW-3DSoftware, Open Journal of Marine Science, 2016, 6, 317-322, Published Online April 2016 in SciRes.

01-16 Mohsin A.R. Irkal, S. Nallayarasu, and S.K. Bhattacharyya, CFD approach to roll damping of ship with bilge keel with experimental validation, Applied Ocean Research, Volume 55, February 2016, Pages 1–17

121-15 Josh Carter, Scott Fenical, Craig Hunter and Joshua Todd, CFD modeling for the analysis of living shoreline structure performance, Coastal Structures and Solutions to Coastal Disasters Joint Conference, Boston, MA, Sept. 9-11, 2015. © 2017 by the American Society of Civil Engineers. doi.org/10.1061/9780784480304.047

114-15 Jisheng Zhang, Peng Gao, Jinhai Zheng, Xiuguang Wu, Yuxuan Peng and Tiantian Zhang, Current-induced seabed scour around a pile-supported horizontal-axis tidal stream turbine, Journal of Marine Science and Technology, Vol. 23, No. 6, pp. 929-936 (2015) 929, DOI: 10.6119/JMST-015-0610-11

108-15 Tiecheng Wang, Tao Meng, and Hailong Zha, Analysis of Tsunami Effect and Structural Response, ISSN 1330-3651 (Print), ISSN 1848-6339 (Online), DOI: 10.17559/TV-20150122115308

107-15 Jie Chen, Changbo Jiang, Wu Yang, Guizhen Xiao, Laboratory study on protection of tsunami-induced scour by offshore breakwaters, Natural Hazards, 2015, 1-19

85-15 Majid A. Bhinder, M.T. Rahmati, C.G. Mingham and G.A. Aggidis, Numerical hydrodynamic modelling of a pitching wave energy converter, European Journal of Computational Mechanics, Volume 24, Issue 4, 2015, DOI: 10.1080/17797179.2015.1096228

65-15 Giancarlo Alfonsi, Numerical Simulations of Wave-Induced Flow Fields around Large-Diameter Surface-Piercing Vertical Circular Cylinder, Computation 2015, 3(3), 386-426; doi:10.3390/computation3030386

61-15 Bingchen Liang, Duo Li, Xinying Pan and Guangxin Jiang, Numerical Study of Local Scour of Pipeline under Combined Wave and Current Conditions, Proceedings of the Twenty-fifth (2015) International Ocean and Polar Engineering Conference Kona, Big Island, Hawaii, USA, June 21-26, 2015 Copyright © 2015 by the International Society of Offshore and Polar Engineers (ISOPE) ISBN 978-1-880653-89-0; ISSN 1098-6189.

60-15 Chun-Han Ko, Ching-Piao Tsai, Ying-Chi Chen, and Tri-Octaviani Sihombing, Numerical Simulations of Wave and Flow Variations between Submerged Breakwaters and Slope Seawall, Proceedings of the Twenty-fifth (2015) International Ocean and Polar Engineering Conference Kona, Big Island, Hawaii, USA, June 21-26, 2015 Copyright © 2015 by the International Society of Offshore and Polar Engineers (ISOPE) ISBN 978-1-880653-89-0; ISSN 1098-6189.

57-15 Giacomo Viccione and Settimio Ferlisi, A numerical investigation of the interaction between debris flows and defense barriers, Advances in Environmental and Geological Science and Engineering, ISBN: 978-1-61804-314-6, 2015

56-15 Vittorio Bovolin, Eugenio Pugliese Carratelli and Giacomo Viccione, A numerical study of liquid impact on inclined surfaces, Advances in Environmental and Geological Science and Engineering, ISBN: 978-1-61804-314-6, 2015

49-15 Fabio Dentale, Giovanna Donnarumma, Eugenio Pugliese Carratelli, and Ferdinando Reale, A numerical method to analyze the interaction between sea waves and rubble mound emerged breakwaters, WSEAS TRANSACTIONS on FLUID MECHANICS, E-ISSN: 2224-347X, Volume 10, 2015

45-15 Diego Vicinanza, Daniela Salerno, Fabio Dentale and Mariano Buccino, Structural Response of Seawave Slot-cone Generator (SSG) from Random Wave CFD Simulations, Proceedings of the Twenty-fifth (2015) International Ocean and Polar Engineering Conference, Kona, Big Island, Hawaii, USA, June 21-26, 2015, Copyright © 2015 by the International Society of Offshore and Polar Engineers (ISOPE), ISBN 978-1-880653-89-0; ISSN 1098-6189

38-15 Yen-Lung Chen, Shih-Chun Hsiao, Yu-Cheng Hou, Han-Lun Wu and Yuan Chieh Wu, Numerical Simulation of a Neutrally Buoyant Round Jet in a Wave Environment, E-proceedings of the 36th IAHR World Congress, 28 June – 3 July, 2015, The Hague, the Netherlands

34-15 Dieter Vanneste and Peter Troch, 2D numerical simulation of large-scale physical model tests of wave interaction with a rubble-mound breakwater, Coastal Engineering, Volume 103, September 2015, Pages 22–41.

29-15 Masanobu Toyoda, Hiroki Kusumoto, and Kazuo Watanabe, Intrinsically Safe Cryogenic Cargo Containment System of IHI-SPB LNG Tank, IHI Engineering Review, Vol. 47, No. 2, 2015.

24-15 Xixi Pan, Shiming Wang, and Yongcheng Liang, Three-dimensional simulation of floating wave power device, International Power, Electronics and Materials Engineering Conference (IPEMEC 2015)

05-15 M. A. Bhinder, A. Babarit, L. Gentaz, and P. Ferrant, Potential Time Domain Model with Viscous Correction and CFD Analysis of a Generic Surging Floating Wave Energy Converter, (2015), doi: http://dx.doi.org/10.1016/j.ijome.2015.01.005

137-14 A. Najafi-Jilani, M. Zakiri Niri and Nader Naderi, Simulating three dimensional wave run-up over breakwaters covered by antifer units, Int. J. Nav. Archit. Ocean Eng. (2014) 6:297~306

128-14 Dong Chule Kim, Byung Ho Choi, Kyeong Ok Kim and Efim Pelinovsky, Extreme tsunami runup simulation at Babi Island due to 1992 Flores tsunami and Okushiri due to 1993 Hokkido tsunami, Geophysical Research Abstracts, Vol. 16, EGU2014-1341, 2014, EGU General Assembly 2014, © Author(s) 2013. CC Attribution 3.0 License.

123-14 Irkal Mohsin A.R., S. Nallayarasu and S.K. Bhattacharyya, Experimental and CFD Simulation of Roll Motion of Ship with Bilge Keel, International Conference on Computational and Experimental Marine Hydrodynamics MARHY 2014 3-4 December 2014, Chennai, India.

101-14 Dieter Vanneste, Corrado Altomare, Tomohiro Suzuki, Peter Troch and Toon Verwaest, Comparison of Numerical Models for Wave Overtopping and Impact on a Sea Wall, Coastal Engineering 2014

91-14 Fabio Dentale, Giovanna Donnarumma, and Eugenio Pugliese Carratelli, Numerical wave interaction with tetrapods breakwater, Int. J. Nav. Archit. Ocean Eng. (2014) 6:0~0, http://dx.doi.org/10.2478/IJNAOE-2013-0214, ⓒSNAK, 2014, pISSN: 2092-6782, eISSN: 2092-6790

87-14 Philipp Behruzi, Simulation of breaking wave impacts on a flat wall, The 15th International Workshop on Trends In Numerical and Physical Modeling for Industrial Multiphase Flows, Cargèse, Corsica, October 13th–17th, 2014

86-14 Chuan Sim and Sung-uk Choi, Three-Dimensional Scour at Submarine Pipelines under Indefinite Boundary Conditions, 2014

83-14 Hongda Shi, Dong Wang, Jinghui Song, and Zhe Ma, Systematic Design of a Heaving Buoy Wave Energy Device, 5th International Conference on Ocean Energy, 4th November, Halifax, 2014

71-14 Hadi Sabziyan, Hassan Ghassemi, Farhood Azarsina, and Saeid Kazemi, Effect of Mooring Lines Pattern in a Semi-submersible Platform at Surge and Sway Movements, Journal of Ocean Research, 2014, Vol. 2, No. 1, 17-22 Available online at http://pubs.sciepub.com/jor/2/1/4 © Science and Education Publishing DOI:10.12691/jor-2-1-4

56-14 Fernandez-Montblanc, T., Izquierdo, A., and Bethencourt, M., Modelling the oceanographic conditions during storm following the Battle of Trafalgar, Encuentro de la Oceanografıa Fısica Espanola 2014

52-14 Fabio Dentale, Giovanna Donnarumma, and Eugenio Pugliese Carratelli, A new numerical approach to the study of the interaction between wave motion and roubble mound breakwaters, Latest Trends in Engineering Mechanics, Structures, Engineering Geology, ISBN: 978-960-474-376-6

49-14 H. Ahmed and A. Schlenkhoff, Numerical Investigation of Wave Interaction with Double Vertical Slotted Walls, World Academy of Science, Engineering and Technology, International Journal of Environmental, Ecological, Geological and Mining Engineering Vol:8 No:8, 2014

32-14 Richard Keough, Victoria Mullaley, Hilary Sinclair, and Greg Walsh, Design, Fabrication and Testing of a Water Current Energy Device, Memorial University of Newfoundland, Faculty of Engineering and Applied Science, Mechanical Design Project II – ENGI 8926, April 2014

25-14 Paulius Rapalis, Vytautas Smailys, Vygintas Daukšys, Nadežda Zamiatina, and Vasilij Djačkov, Vandens – Duju Silumos Mainai Gaz-Lifto Tipo Skruberyje,Technologijos mokslo darbai Vakarų Lietuvoje, Vol 9 > Rapalis. Available for download at http://journals.ku.lt/index.php/TMD/article/view/259.

92-13 Matteo Tirindelli, Scott Fenical and Vladimir Shepsis, State-of-the-Art Methods for Extreme Wave Loading on Bridges and Coastal Highways, Seventh National Seismic Conference on Bridges and Highways (7NSC), May 20-22, 2013, Oakland, CA

89-13 Worakanok Thanyamanta, Don Bass and David Molyneux, Prediction of sloshing effects using a coupled non-linear seakeeping and CFD code, Proceedings of the ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering, OMAE2013, June 9-14, 2013, Nantes, France. Available for purchase online at ASME.

83-13 B.W. Lee and C. Lee, Development of Wave Power Generation Device with Resonance Channels, Proceedings of the 7th International Conference on Asian and Pacific Coasts (APAC 2013) Bali, Indonesia, September 24-26, 2013

68-13 Fabio Dentale, Giovanna Donnarumma, and Eugenio Pugliese Carratelli, Rubble Mound Breakwater Run-Up, Reflection and Overtopping by Numerical 3D Simulation, ICE Conference, September 2013, Edinburgh (UK).

66-13 Peter Arnold, Validation of FLOW-3D against Experimental Data for an Axi-Symmetric Point Absorber WEC, © wavebob™, 2013

62-13 Yanan Li, Junwei Zhou, Dazheng Wang and Yonggang Cui, Resistance and Strength Analysis of Three Hulls with ifferent Knuckles, Advanced Materials Research Vols. 779-780 (2013) pp 615-618, © (2013) Trans Tech Publications, Switzerland, doi:10.4028/www.scientific.net/AMR.779-780.615.

61-13 M.R. Soliman, Satoru Ushijima, Nobu Miyagi and Tetsuay Sumi, Density Current Simulation Using Two-Dimensional High Resolution Model, Annuals of Disas. Prev. Res. Inst., Kyoto Univ., No 56 B, 2013.

59-13 Guang Wei Liu, Qing He Zhang, and Jin Feng Zhang, Wave Forces on the Composite Bucket Foundation of Offshore Wind Turbines, Applied Mechanics and Materials, 405-408, 1420, September 2013. Available for purchase online at Scientific.net.

50-13 Joel Darnell and Vladimir Shepsis, Pontoon Launch Analysis, Design and Performance, Ports 2013, © ASCE 2013. Available for purchase online at ASCE.

45-13 Min-chi Li, Numerical Simulation of Wave Overtopping Rate at Sloping Seawalls with Different Configurations of Wave Dissipators, Master’s Thesis: Department of Marine Environment and Engineering, National Sun Yat-Sen University. Abstract only available here: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0701113-144919.

22-13 Nahidul Khan, Jonathan Smith, and Michael Hinchey, Models with all the right curves, © Journal of Ocean Technology, The Journal of Ocean Technology, Vol. 8, No. 1, 2013.

20-13 Efim Pelinovsky, Dong-Chul Kim, Kyeong-Ok Kim and Byung-Ho Choi, Three-dimensional simulation of extreme runup heights during the 2004 Indonesian and 2011 Japanese tsunamis, EGU General Assembly 2013, held 7-12 April, 2013 in Vienna, Austria, id. EGU2013-1760. Online at: http://adsabs.harvard.edu/abs/2013EGUGA..15.1760P.

18-13 Dazheng Wang, Fei Ma, and Lei Mei, Optimization of a 17m Catamaran based on the Resistance Performance, Advanced Materials Research Vols. 690-693, pp 3414-3418, © Trans Tech Publications, Switzerland, doi:10.4028/www.scientific.net/AMR.690-693.3414, May 2013.

16-13 Dong Chule Kim, Kyeong Ok Kim, Efim Pelinovsky, Ira Didenkulova, and Byung Ho Choi, Three-dimensional tsunami runup simulation for the port of Koborinai on the Sanriku coast of Japan, Journal of Coastal Research, Special Issue No. 65, 2013.

15-13 Dong Chule Kim, Kyeong Ok Kim, Byung Ho Choi, Kyung Hwan Kim, and Efin Pelinovsky, Three –dimensional runup simulation of the 2004 Ocean tsunami at the Lhok Nga twin peaks, Journal of Coastal Research, Special Issue No. 65, 2013.

14-13 Jae-Seol Shim, Jinah Kim, Dong-Shul Kim, Kiyoung Heo, Kideok Do, and Sun-Jung Park, Storm surge inundation simulations comparing three-dimensional with two-dimensional models based on Typhoon Maemi over Masan Bay of South Korea, Journal of Coastal Research, Special Issue No. 65, 2013.

115-12 Worakanok Thanyamanta and David Molyneux, Prediction of Stabilizing Moments and Effects of U-Tube Anti-Roll Tank Geometry Using CFD, ASME 2012 31st International Conference on Ocean, Offshore and Arctic Engineering, Volume 5: Ocean Engineering; CFD and VIV, Rio de Janeiro, Brazil, July 1–6, 2012, ISBN: 978-0-7918-4492-2, Copyright © 2012 by ASME

114-12 Dane Kristopher Behrens, The Russian River Estuary: Inlet Morphology, Management, and Estuarine Scalar Field Response, Ph.D. Thesis: Civil and Environmental Engineering, UC Davis, © 2012 by Dane Kristopher Behrens. All Rights Reserved.

111-12 James E. Beget, Zygmunt Kowalik, Juan Horrillo, Fahad Mohammed, Brian C. McFall, and Gyeong-Bo Kim, NEeSR-CR Tsunami Generation by Landslides Integrating Laboratory Scale Experiments, Numerical Models and Natural Scale Applications, George E. Brown, Jr. Network for Earthquake Engineering Simulation Research, July 2012, Boston, MA.

109-12 D. Vanneste, Experimental and Numerical study of Wave-Induced Porous Flow in Rubble-Mound Breakwaters, Ph.D. thesis (Chapters 5 and 6), Faculty of Engineering and Architecture, Ghent University, Ghent (Belgium), 2012.

104-12 Junwoo Choi, Kab Keun Kwon, and Sung Bum Yoon, Tsunami Inundation Simulation of a Built-up Area using Equivalent Resistance Coefficient, Coastal Engineering Journal, Vol. 54, No. 2 (2012) 1250015 (25 pages), © World Scientific Publishing Company and Japan Society of Civil Engineers, DOI: 10.1142/S0578563412500155

94-12 Parviz Ghadimi, Abbas Dashtimanesh, Mohammad Farsi, and Saeed Najafi, Investigation of free surface flow generated by a planing flat plate using smoothed particle hydrodynamics method and FLOW-3D simulations, Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, December 7, 2012 1475090212465235. Available for purchase online at sage journals.

92-12 Panayotis Prinos, Maria Tsakiri, and Dimitris Souliotis, A Numerical Simulation of the WOS and the Wave Propagation along a Coastal Dike, Coastal Engineering 2012.

88-12 Nahidul Khan and Michael Hinchey, Adaptive Backstepping Control of Marine Current Energy Conversion System, PKP Open Conference Systems, IEEE Newfoundland and Labrador Section, 2012.

72-12 F. Dentale, G. Donnarumma, and E. Pugliese Carratelli, Wave Run Up and Reflection on Tridimensional Virtual, Journal of Hydrogeology & Hydrologic Engineering, 2012, 1:1, http://dx.doi.org/10.4172/jhhe.1000102.

64-12 Anders Wedel Nielsen, Xiaofeng Liu, B. Mutlu Sumer, Jørgen Fredsøe, Flow and bed shear stresses in scour protections around a pile in a current, Coastal Engineering, Volume 72, February 2013, Pages 20–38.

56-12 Giancarlo Alfonsi, Agostino Lauria, Leonardo Primavera, Flow structures around large-diameter circular cylinder, Journal of Flow Visualization and Image Processing, 2012. DOI:10.1615/JFlowVisImageProc.2012005088.

51-12 Chun-Ho Chen, Study on the Application of FLOW-3D for Wave Energy Dissipation by a Porous Structure, Master’s Thesis: Department of Marine Environment and Engineering, National Sun Yat-sen University, July 2012. In Chinese.

37-12 Yu-Ren Chen, Numerical Modeling on Internal Solitary Wave propagation over an obstacle using FLOW-3D, Master’s Thesis: Department of Marine Environment and Engineering, National Sun Yat-sen University June 2012. In Chinese.

26-12 D.C. Lo Numerical simulation of hydrodynamic interaction produced during the overtaking and the head-on encounter process of two ships, Engineering Computations: International Journal for Computer-Aided Engineering and Software, Vol. 29 No. 1, 2012. pp. 83-10, Emerald Group Publishing Limited, www.emeraldinsight.com/0264-4401.htm.

14-12 Bahaa Elsharnouby, Akram Soliman, Mohamed Elnaggar, and Mohamed Elshahat, Study of environment friendly porous suspended breakwater for the Egyptian Northwestern Coast, Ocean Engineering 48 (2012) 47-58. Available for purchase online at Science Direct.

11-12 Sang-Ho Oh, Young Min Oh, Ji-Young Kim, Keum-Seok Kang, A case study on the design of condenser effluent outlet of thermal power plant to reduce foam emitted to surrounding seacoast, Ocean Engineering, Volume 47, June 2012, Pages 58–64. Available for purchase online at SciVerse.

101-11 Tsunami – A Growing Disaster, edited by Mohammad Mokhtari, ISBN 978-953-307-431-3, 232 pages, Publisher: InTech, Chapters published December 16, 2011 under CC BY 3.0 license, DOI: 10.5772/922. Available for download at Intech.

100-11 Kwang-Oh Ko, Jun-Woo Choi, Sung-Bum Yoon, and Chang-Beom Park, Internal Wave Generation in FLOW-3D Model, Proceedings of the Twenty-first (2011) International Offshore and Polar Engineering Conference, Maui, Hawaii, USA, June 19-24, 2011, Copyright © 2011 by the International Society of Offshore and Polar Engineers (ISOPE), ISBN 978-1-880653-96-8 (Set); ISSN 1098-6189 (Set); www.isope.org

95-11 S. Brizzolara, L. Savio, M. Viviani, Y. Chen, P. Temarel, N. Couty, S. Hoflack, L. Diebold, N. Moirod and A. Souto Iglesias, Comparison of experimental and numerical sloshing loads in partially filled tanks, Ships and Offshore Structures, Vol. 6, Nos. 1–2, 2011, 15–43. Available for purchase online at Francis & Taylor.

85-11 Andrew Eoghan Maguire, Hydrodynamics, control and numerical modelling of absorbing wavemakers, thesis: The University of Edinburgh, 2011.

74-11 Jonathan Smith, Nahidul Khan and Michael Hinchey, CFD Simulation of AUV Depth Control, Paper presented at NECEC 2011, St. John’s, Newfoundland and Labrador, Canada. Abstract available online.

70-11 G. Kim, S.-H. Oh, K.S. Lee, I.S. Han, J.W. Chae, and S.-J Ahn, Numerical Investigation on Water Discharge Capability of Sluice Caisson of Tidal Power Plant, Proceedings of the Sixth International Conference on Asian and Pacific Coasts (APAC 2011), December 14-16, 2011, Hong Kong, China.

69-11 G. Alfonsi, A. Lauria, and L. Primavera, Wave-Field Flow Structures Developing Around Large-Diameter Vertical Circular Cylinder, Proceedings of the Sixth International Conference on Asian and Pacific Coasts (APAC 2011), December 14-16, 2011, Hong Kong, China.

68-11 C. Lee, B.W. Lee, Y.J. Kim, and K.O. Ko, Ship Wave Crests in Intermediate-Depth Water, Proceedings of the Sixth International Conference on Asian and Pacific Coasts (APAC 2011), December 14-16, 2011, Hong Kong, China.

63-11 Worakanok Thanyamanta, Paul Herrington, and David Molyneux, Wave patterns, wave induced forces and moments for a gravity based structure predicted using CFD, Proceedings of the ASME 2011, 30th International Conference on Ocean, Offshore and Arctic Engineering, OMAE2011, Rotterdam, The Netherlands, June 19-24, 2011.

61-11 Jun Jin and Bo Meng, Computation of wave loads on the superstructures of coastal highway bridges, Ocean Engineering, available online October 19, 2011, ISSN 0029-8018, 10.1016/j.oceaneng.2011.09.029. Available for purchase at Science Direct.

36-11 Nadir Yilmaz, Geoffrey E. Trapp, Scott M. Gagan, Timothy R. Emmerich, CFD Supported Examination of Buoy Design for Wave Energy Conversion, IGEC-VI-2011-173, pp: 537-541

28-11 Rodolfo Bolaños, Laurent O. Amoudry and Ken Doyle, Effects of Instrumented Bottom Tripods on Process Measurements, Journal of Atmospheric and Oceanic Technology, June 2011, Vol. 28, No. 6: pp. 827-837. Available online at: AMS Journals Online.

80-10 Juan J. Horrillo, Amanda L. Wood, Charles Williams, Ashwin Parambath, and Gyeong-Bo Kim, Construction of Tsunami Inundation Maps in the Gulf of Mexico, Report to the National Tsunami Hazard Mitigation Program, December 2010.

69-10 George A Aggidis and Clive Mingham, A Joint Numerical and Experimental Study of a Surging Point Absorbing Wave Energy Converter (WRASPA), Joule Centre Research Grant Joint Final Report (Lancaster University and Macnhester Metropolitan University), Joule Grant No: JIRP306/02, 2010

67-10 Kazuhiko Terashima, Ryuji Ito, Yoshiyuki Noda, Yoji Masui and Takahiro Iwasa, Innovative Integrated Simulator for Agile Control Design on Shipboard Crane Considering Ship and Load Sway, 2010 IEEE International Conference on Control Applications, Part of 2010 IEEE Multi-Conference on Systems and Control, Yokohama, Japan, September 8-10, 2010

66-10 Shan-Hwei Ou, Tai-Wen Hsu, Jian-Feng Lin, Jian-Wu Lai, Shih-Hsiang Lin, Chen-Chen Chang, Yuan-Jyh Lan, Experimental and Numerical Studies on Wave Transformation over Artificial Reefs, Proceedings of the International Conference on Coastal Engineering, No 32 (2010), Shanghai, China, 2010.

65-10 Tai-Wen Hsu, Jian-Wu Lai, Yuan-Jyh Lan, Experimental and Numerical Studies on Wave Propagation over Coarse Grained Sloping Beach, Proceedings of the International Conference on Coastal Engineering, No 32 (2010), Shanghai, China, 2010.

26-10 R. Marcer, C. Berhault, C. de Jouëtte, N. Moirod and L. Shen, Validation of CFD Codes for Slamming, V European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010, J.C.F. Pereira and A. Sequeira (Eds), Lisbon, Portugal, 14-17 June 2010

25-10 J.M. Zhan, Z. Dong, W. Jiang, and Y.S. Li, Numerical Simulation of wave transformation and runup incorporating porous media wave absorber and turbulence models, Ocean Engineering (2010), doi: 10.1016/j.oceaneng.2010.06.005. Available for purchase at Science Direct.

17-10 F. Dentale, S.D. Russo, E. Pugliese Carratelli, S. Mascetti, A New Numerical Approach to Study the Wave Motion with Breakwaters and the Armor Stability, Marine Technology Reporter, May 2010

01-10 F. Dentale, S.D. Russo, E. Pugliese Carratelli, Innovative Numerical Simulation to Study the Fluid withing Rubble Mound Breakwaters and the Armour Stability, 17th Armourstone Wallingford Armourstone Meeting, Wallingford, UK, February 2010.

52-09 Mark Reed, Øistein Johansen, Frode Leirvik, and Bård Brørs, Numerical Algorithm to Compute the Effects of Breaking Waves on Surface Oil Spilled at Sea, Final Report, Second revision, SINTEF, October 2009.

49-09 Anna Pellicioli, Indagine Numerica Sulla Resistenza Idrodinamica Di Uno Scafo In Presenza Di Superficie Libera, thesis: Univerista Degli Studi Di Bergamo, 2008/2009. In Italian. Available upon request.

46-09 Carlos Guedes Soares, P.K. Das, Analysis and Design of Marine Structures, CRC Press; 1 Har/Cdr edition (March 2, 2009), 0415549345

32-09 M.A. Binder, C.G. Mingham, D.M. Causon, M.T. Rahmati, G.A. Aggidis, R.V. Chaplin, Numerical Modelling of a Surging Point Absorber Wave Energy Converter, 8th European Wave and Tidal Energy Conference EWTEC 2009, Uppsala, Sweden, 7-10 September 2009

28-09 D. C. Lo, Dong-Taur Su and Jan-Ming Chen (2009), Application of Computational Fluid Dynamics Simulations to the Analysis of Bank Effects in Restricted Waters, Journal of Navigation, 62, pp 477-491, doi:10.1017/S037346330900527X; Purchase the article online (clicking on this link will take you to the Cambridge Journals website).

26-09 Fabio Dentale, E. Pugliese Carratelli, S.D. Russo, and Stefano Mascetti, Advanced Numerical Simulations on the Interaction between Waves and Rubble Mound Breakwaters, Journal of the Engineering Association for Offshore and Marine in Italy, (translation from the Italian)

25-09 F. Dentale, B. Messina, E. Pugliese Carratelli, S. Mascetti, Studio numerico avanzato sul moto di filtrazione in ambito marittimo, A & C, Analisi e Calcolo, Giugno 2009 (in Italian)

22-09 M.A. Bhinder, C.G. Mingham, D.M. Causon, M.T. Rahmati, G.A. Aggidis and R.V. Chaplin, A Joint Numerical And Experimental Study Of a Surging Point Absorbing Wave Energy Converter (WRASPA)2, Proceedings of the ASME 28th International Conference on Ocean, Offshore and Arctic Engineering, OMAE2009-79392, Honolulu, Hawaii, May 31-June 5, 2009

8-09 Basu, D., S. Green, K. Das, R. Janetzke, and J. Stamatakos, Numerical Simulation of Surface Waves Generated by a Subaerial Landslide at Lituya Bay, 28th International Conference on Ocean, Offshore and Arctic Engineering, May 31–June 5, 2009, Honolulu, Hawaii

17-09 Das, K., R. Janetzke, D. Basu, S. Green, and J. Stamatakos, Numerical Simulations of Tsunami Wave Generation by Submarine and Aerial Landslides Using RANS and SPH Models, 28th International Conference on Ocean, Offshore and Arctic Engineering, May 31–June 5, 2009, Honolulu, Hawaii

16-09 Basu, D., S. Green, K. Das, R. Janetzke, and J. Stamatakos, Navier-Stokes Simulations of Surface Waves Generated by Submarine Landslides Effect of Slide Geometry and Turbulence, 2009 Society of Petroleum Engineering Americas E&P Environmental & Safety Conference, March 23–25, 2009, San Antonio, Texas.

48-08 Osamu Kiyomiya1 and Kazuya Kuroki, Flap Gate to Prevent Urban Area from Tsunami, The 14th World Conference on Earthquake Engineering, October 12-17, 2008, Beijing, China

43-08 Eldina Fatimah, Ahmad Khairi Abd. Wahab, and Hadibah Ismail, Numerical modeling approach of an artificial mangrove root system (ArMs) submerged breakwater as wetland habitat protector, COPEDEC VII, Dubai UAE, 2008.

40-08 Giacomo Viccione, Fabio Dentale, and Vittorio Bovolin, Simulation of Wave Impact Pressure on Vertical Structures with the SPH Method, 3rd ERCOFTAC SPHERIC workshop on SPH applications, Laussanne, Switzerland, June 4-6, 2008.

39-08 Kang, Young-Seung, Kim, Pyeong-Joong, Hyun, Sang-Kwon and Sung, Ha-Keun, Numerical Simulation of Ship-induced Wave Using FLOW-3D, Journal of Korean Society of Coastal and Ocean Engineers / v.20, no.3, 2008, pp.255-267, ISSN: 1976-8192, http://ksci.kisti.re.kr/search/article/articleView.ksci?articleBean.artSeq=HOHODK_2008_v20n3_255

35-08 B.W. Nam, S.H. Shin, K.Y. Hong, S.W. Hong, Numerical Simulation of Wave Flow over the Spiral-Reef Overtopping Device, Proceedings of the Eighth (2008) ISOPE Pacific/Asia Offshore Mechanics Symposium, Bangkok, Thailand, November 10-14, 2008, © 2008 by The International Society of Offshore and Polar Engineers, ISBN 978-1-880653-52-4

34-08 B. H. Choi, E. Pelinovsky, D.C. Kim, I. Didenkulova and S.-B. Woo, Two and three-dimensional computation of solitary wave runup on non-plane beach, Nonlin. Processes Geophys., 15, 489-502, 2008, www.nonlin-processes-geophys.net/15/489/2008 (c) Author(s) 2008.

23-08 Barb Schmitz, Tecplot, Nastran & FLOW-3D Win the Race, Desktop Engineering’s Elements of Analysis, September 2008

38-07 Choi, B.-H., Kim, D. C., Pelinovsky, E., and Woo, S. B., Three-dimensional simulation of tsunami run-up around conical island, Coast. Eng., Vol. 54, Issue 8, 618-629, 2007.

33-07 Mirela Zalar, Sime Malenica, Zoran Mravak, Nicolas Moirod, Some Aspects of Direct Calculation Methods for the Assessment of LNG Tank Structure Under Sloshing Impacts, La Asociación Española del Gas (sedigas) Spain 2007

20-07 Oceanic Consulting Corporation, Berthing Studies for LNG Carriers in the Calcasieu River Waterway, Making Waves: Newsletter of Oceanic Consulting Corporation, Winter 2007

10-07 Gildas Colleter, Breaking wave uplift and overtopping on a horizontal deck using physical and numerical modeling, Coasts and Ports 2007 Conference in Melbourne, Australia

18-06 Brizzolara, Stefano and Rizzuto, Enrico, Wind Heeling Moments on Very Large Ships. Some Insights through CFD Results, Proceedings on the 9th International Conference on Stability of Ships and Ocean Vehicles, Rio de Janeiro, September 25, 2006

16-06 Ransau, Samuel R, and Hansen, Ernst W.M., Numerical Simulations of Sloshing in Rectangular Tanks, Proceedings of OMAE2006, 25th International Conference on Offshore Mechanics and Arctic Engineering, Hamburg, Germany, June 4-9, 2006

15-06 Ema Muk-Pavic, Shin Chin and Don Spencer, Validation of the CFD code FLOW-3D for the free surface flow around the ships’; hulls, 14th Annual Conference of the CFD Society of Canada, Kingston, Canada, July 16-18, 2006

3-06 Hansen, E.W.M. and Geir J. Rørtveit, Numerical Simulation of Fluid Mechanisms and Separation Behaviour in Offshore Gravity Separators, Chapter 16 in Emulsions and Emulsion Stability, 2nd Edition, edited by Johan Sjøblom, Taylor & Francis, 2006

24-05 Hansen E.W., Separation Offshore Survey – Design-Redesign of Gravity Separators, Exploration & Production: The Oil & Gas Review 2005 – Issue 2

8-05 T. Kristiansen, R. Baarholm, C.T. Stansberg, G. Rortveit and E.W.M. Hansen, Kinematics in a Diffracted Wave Field Particle Image Velocimetry (PIV) and Numerical Models, Presented at the 24th International Conference on Offshore Mechanics and Arctic Engineering, OMAE 67176, Halkidiki, Greece, June 12-17, 2005

7-05 C.T. Stansberg, R. Baarholm, T. Kristiansen, E.W.M. Hansen and G. Rortveit, Extreme Wave Amplification and Impact Loads on Offshore Structures, presented at the 2005 Offshore Technology Conference, Houston, TX, May 2-5, 2005

16-04 Carl Trygve Stansberg, Kjetil Berget, Oyvind Hellan, Ole A. Hermundstad, Jan R. Hoff and Trygve Kristiansen and Ernst Hansen, Prediction of Green Sea Loads on FPSO in Random Seas, presented at the 14th International Offshore and Polar Engineering Conference (ISOPE 2004), Toulon, France, May 2004

15-04 Š. Malenica, M. Zalar, J.M. Orozco, B. LeGallo & X.B. Chen, Linear and Non-Linear Effects of Sloshing on Ship Motions, 23rd International Conference on Offshore Mechanics and Artic Engineering, OMAE 2004, Vancouver, June 2004

11-04 Don Bass, David Molyneux, Kevin McTaggart, Simulating Wave Action in the Well Deck of Landing Platform Dock Ships Using Computational Fluid Dynamics

37-03 Sreenivasa C Chopakatla, A CFD Model for Wave Transformations and Breaking in the Surf Zone, thesis: Master of Science, The Ohio State Univeristy, 2003.

29-02 O. Bayle, V. L’Hullier, M. Ganet, P. Delpy, J.L. Francart and D. Paris, Influence of the ATV Propellant Sloshing on the GNC Performance, AIAA Guidance, Navigation, and Control Conference and Exhibit, Monterey, California, 5-8 August 2002, © 2002 by EADS Launch Vehicles

25-02 Y. Kim, Numerical Analysis of Sloshing Problem, American Bureau of Shipping, Research Dept, Houston, TX

10-02 Peter Chang III & Xiongjun Wu, Entrainment Correlations Based on a Fuel-Water Stratified Shear Flow, Proceedings of FEDSM2002, 2002 ASME Fluids Engineering Decision Summer Meeting, July 14-18, 2002, Montreal, Quebec, Canada

37-01 Ismail B. Celik, Allen E. Badeau Jr., Andrew Burt and Sherif Kandil, A Single Fluid Transport Model For Computation of Stratified Immiscible Liquid-Liquid Flows, Mechanical and Aerospace Engineering Department, West Virginia University, Proceedings of the XXIX IAHR Congress, September 2001. Beijing, China

14-01 Charles Ortloff, CTC/United Defense, Computer Simulation Analyzed Typhoon Damage to FPSOs, Marine News, April 30, 2001, pp. 22-23

8-01 Charles Ortloff, Computer Simulations Analyze Wave Damage to Offloading Vessels, Marine News, April 30, 2001, pp. 22-23

25-00 Faltinsen, O.A. and Rognebakke, O.F., Sloshing in Rectangular Tanks and Interaction with Ship Motions-Sloshing, Int. Conf. on Ship and Shipping Research NAV, Venice, Italy, 2000.

20-97 C.R. Ortloff, Numerical Test Tank Simulation of Ocean Engineering Problems by Computational Fluid Dynamics, Offshore Technology Conference Paper 8269B, Houston, TX, 1997

19-97 C.R. Ortloff and M. Krafft, Numerical Test Tanks-Computer Simulation-Test Verification of Major Ocean Engineering Problems for the Off-Shore Oil Industry, OTC 8269A, Offshore Technology Conference, Copyright 1997, Houston, Texas, May 1997

9-94 P. A. Chang, C-W Lin, CD-NSWC, Hydrodynamic Analysis of Oil Outflow from Double Hull Tankers, The Advanced Double-Hull Technical Symposium, Gaithersburg, MD, October 25-26, 1994.

8-90 C. W. Hirt, Computational Modeling of Cavitation, Flow Science report, July 1990, presented at the 2nd International Symposium on Performance Enhancement for Marine Applications, Newport, RI, October 14-16, 1990

10-87 H. W. Meldner, USA’s Revolutionary Appendages and CFD, CORDTRAN Corp. Report presented at AIAA and SNAME 17th Annual International Symposium on Sailing, Stanford University, Palo Alto, CA, Oct. 31-Nov. 1, 1987

3-85 C. W. Hirt and J. M. Sicilian, A Porosity Technique for the Definition of Obstacles in Rectangular Cell Meshes, Fourth International Conference on Ship Hydrodynamics, Washington, DC, September 1985

Water & Environmental Bibliography

다음은 수자원 및 환경 분야에 대한 참고 문 기술 문서 모음입니다.
이 모든 논문은 FLOW-3D 해석 결과를 사용하였습니다. FLOW-3D 를 사용하여 수처리 및 환경 산업을 위한 응용 프로그램을 성공적으로 시뮬레이션하는 방법에 대해 자세히 알아보십시오.

Water and Environmental Bibliography

2024년 11월 20일 Update

118-24 Lei Liao, Jia Li, Min Chen, Ruidong An, Effects of hydraulic cues in barrier environments on fish navigation downstream of dams, Journal of Environmental Management, 365; 121495, 2024. doi.org/10.1016/j.jenvman.2024.121495

115-24 H. Liu, Y.G. Cheng, Z.Y. Yang, J. Zhang, J.Y. Fan, W.X. Li, Effect of uneven inflow on hydrodynamic performance of bulb turbine, Journal of Physics: Conference Series, 2752; 012032, 2024. doi.org/10.1088/1742-6596/2752/1/012032

112-24 Jian Guo, Bowen Weng, Jiyi Wu, Investigation of the energy loss in cylindrical bridge piers scour depth prediction on sand-bed, Ocean Engineering, 309.1; 118513, 2024. doi.org/10.1016/j.oceaneng.2024.118513

110-24 Siyu Chen, Xiyen Liu, Junyao Tang, Ying Gao, Tianyou Zhang, Linhao Gu, Tao Ma, Can Chen, Study on the influence of design parameters of porous asphalt pavement on drainage performance, Journal of Hydrology, 638; 131514, 2024. doi.org/10.1016/j.jhydrol.2024.131514

108-24 Abubaker Sami Dheyab, Mustafa Günal, Experimental and numerical study for local scour around cylindrical bridge pier in non-cohesive sediment bed, 4th International Congress of Engineering and Natural Sciences (ICENSS), 2024.

106-24 P. Asabian, C.D. Rennie, N. Egsgard, Experimental and numerical investigation of the flow-structure of river surf waves, River Flow 2022, eds. Ana Maria Ferreira da Silva, Colin Rennie, Susan Gaskin, Jay Lacey, Bruce MacVicar, 2024.

105-24 M. Cihan Aydin, Ali Emre Ulu, Ercan Işık, Nizamettin Hamidi, An experimental and numerical investigation of hydraulic performance of in-channel triangular labyrinth weir for free overflow, ISH Journal of Hydraulic Engineering, pp. 1-10, 2024. doi.org/10.1080/09715010.2024.2363224

103-24 Yazhou Wang, Jinrong Da, Yuchen Luo, Sirui He, Zuocong Tian, Ziyi Xue, Zehao Li, Xianyu Zhao, Desheng Yin, Hui Peng, Xiang Liu, Xiaoning Liu , Minimization of heavy metal adsorption in struvite through effective separation and manipulation of flow field, Journal of Hazardous Materials, 474; 134820, 2024. doi.org/10.1016/j.jhazmat.2024.134820

101-24 Davut Yilmaz, Tugce Basar, Arzu Ozkaya, Assessing the pressure variation in the plunge pool of Yusufeli dam, Dams and Reservoirs, 2024. doi.org/10.1680/jdare.2024.1

99-24 Azim Turan, High resolution flash flood forecasting by combining a hydrometeorological modeling system with a computational fluid dynamics model, Thesis, Middle East Technical University, 2024.

97-24 Umut Aykan, Numerical investigation of vortex formation at single and multiple symmetric horizontal intakes, Thesis, Middle East Technical University, 2024.

91-24 Di Wang, Xiaoyong Cheng, Zhixuan Cao, Jinyun Deng, Three-dimensional flow structure in a confluence-bifurcation unit, Engineering Applications of Computational Fluid Mechanics, 18.1; 2024. doi.org/10.1080/19942060.2024.2349076

86-24 M.Z. Qamar, M.K. Verma, A.P. Meshram, Physical and numerical modelling for settling efficiency of desilting chamber, ISH Journal of Hydraulic Engineering, 30.3; 2024. doi.org/10.1080/09715010.2024.2345338

85-24 Ruichen Xu, Duane C. Chapman, Caroline M. Elliott, Bruce C. Call, Robert B. Jacobson, Binbin Wang, Ecological inferences on invasive carp survival using hydrodynamics and egg drift models, Scientific Reports, 14; 9556, 2024. doi.org/10.1038/s41598-024-60189-1

84-24 M. Cihan Aydin, Ali Emre Ulu, Ercan Işik, Experimental and numerical investigation of rectangular labyrinth weirs in an open channel, Water Management , 2024. doi.org/10.1680/jwama.22.00112

76-24 Chyan-Deng Jan, Litan Dey, Slump-flow channel test for evaluating the relations between spreading and rheological parameters of sediment mixtures, European Journal of Mechanics – B/Fluids, 106; pp. 137-147, 2024. doi.org/10.1016/j.euromechflu.2024.04.005

74-24 Abhishek K. Pandey, Pranab K. Mohapatra, 3D numerical simulations of the bed evolution at an open-channel junction in flood conditions, Journal of Irrigation and Drainage Engineering, 150.3; 2024. doi.org/10.1061/JIDEDH.IRENG-10321

70-24 Jianing Rao, Qi Wei, Lian Tang, Yuanming Wang, Ruifeng Liang, Kefeng Li, A design of a nature-like fishway to solve the fractured river connectivity caused by small hydropower based on hydrodynamics and fish behaviors, Environmental Science and Pollution Research, 31; pp. 27883-27896, 2024. doi.org/10.1007/s11356-024-33034-1

69-24 M. Cihan Aydin, Ali Emre Ulu, Ercan Işık, Determination of effective flow behaviors on discharge performance of trapezoidal labyrinth weirs using numerical and physical models, Modeling Earth Systems and Environment, 10; pp. 3763-3776, 2024. doi.org/10.1007/s40808-024-01996-3

62-24 Ramtin Sabeti, Mohammad Heidarzadeh, Estimating maximum initial wave amplitude of subaerial landslide tsunamis: A three-dimensional modelling approach, Ocean Modelling, 189; 102360, 2024. doi.org/10.1016/j.ocemod.2024.102360

60-24 Mahdi Ebrahimi, Mirali Mohammadi, Sayed Mohammad Hadi Meshkati, Farhad Imanshoar, Embankment dams overtopping breach: A numerical investigation of hydraulic results, Iranian Journal of Science and Technology: Transactions of Civil Engineering, 2024. doi.org/10.1007/s40996-024-01387-9

59-24 Behshad Mardasi, Rasoul Ilkhanipour Zeynali, Majid Heydari, Conducting experimental and numerical studies to analyze the impact of the base nose shape on flow hydraulics in PKW weir using FLOW-3D, Journal of Hydraulic Structures, 9.4; pp. 88-113, 2024. doi.org/10.22055/JHS.2024.45888.1284

58-24 Ramtin Sabeti, Mohammad Heidarzadeh, Alessandro Romano, Gabriel Barajas Ojeda, Javier L. Lara, Three-dimensional simulations of subaerial landslide-generated waves: Comparing OpenFOAM and FLOW-3D HYDRO models, Pure and Applied Geophysics, 181; pp. 1075-1093, 2024. doi.org/10.1007/s00024-024-03443-x

56-24 Ali Poorkarimi, Khaled Mafakheri, Shahrzad Maleki, Effect of inlet and baffle position on the removal efficiency of sedimentation tank using FLOW-3D software, Journal of Hydraulic Structures, 9.4; pp. 76-87, 2024. doi.org/10.22055/jhs.2024.44817.1265

55-24 P Sujith Nair, Aniruddha D. Ghare, Ankur Kapoor, An approach to hydraulic design of conical central baffle flumes, Flow Measurement and Instrumentation, 97; 102573, 2024. doi.org/10.1016/j.flowmeasinst.2024.102573

54-24 Isabelle Cheff, Julie Taylor, Andrew Mitchell, Kathleen Horita, Darren Shepherd, Steven Rintoul, Rob Millar, Evaluating uncertainty in debris flood modelling for the design of a steep built channel, EGU General Assembly, EGU24-20781, 2024. doi.org/10.5194/egusphere-egu24-20781

53-24 Antonija Harasti, Gordon Gilja, Josip Vuco, Jelena Boban, Manousos Valyrakis, Temporal development of the scour hole next to the riprap sloping structure, EGU General Assembly, EGU24-10349, 2024. doi.org/10.5194/egusphere-egu24-10349

52-24 Gordon Gilja, Antonija Harasti, Dea Delija, Iva Mejašić, Manousos Valyrakis, Change in flow field next to riprap sloping structure caused by variability of scoured bathymetry, EGU General Assembly, EGU24-10417, 2024. doi.org/10.5194/egusphere-egu24-10417

49-24 Mehdi Hamidi, Mehran Sadeqlu, Ali Mahdian Khalili, Investigating the design and arrangement of dual submerged vanes as mitigation countermeasure of bridge pier scour depth using a numerical approach, Ocean Engineering, 299; 117270, 2024. doi.org/10.1016/j.oceaneng.2024.117270

48-24 Yingying Wang, Mouchao Lv, Wen’e Wang, Ming Meng, Discharge formula and hydraulics of rectangular side weirs in the small channel and field inlet, Water, 16.5; 713, 2024. doi.org/10.3390/w16050713

45-24 José Saldanha Matos, Filipa Ferreira, Lisbon Master Plans and nature-based solutions, Urban Green Spaces – New Perspectives for Urban Resilience, Eds. Cristina M. Monteiro, Cristina Santos, Cristina Matos, Ana Briga Sá. doi.org/10.5772/intechopen.113870

44-24 Muhanad Al-Jubouri, Richard P. Ray, Enhancing pier local scour prediction in the presence of floating debris, Pollack Periodica, 2024. doi.org/10.1556/606.2023.00952

42-24 Huanquan Yang, Jiabao Ma, Xueying Liu, Numerical simulation research on energy dissipation characteristics of fish scale weir, ES3 Web of Conferences, 490; 03005, 2024. doi.org/10.1051/e3sconf/202449003005

39-24 Henry-John Wright, Investigation of novel deflector shapes for uncontrolled spillways, Thesis, Stellenbosch University, 2024.

37-24 Filipe Romão, Ana L. Quaresma, Joana Simão, Francisco J. Bravo-Córdoba, Teresa Viseu, José M. Santos, Francisco J. Sanz-Ronda, António N. Pi, Debating the rules: an experimental approach to assess cyprinid passage performance thresholds in vertical slot fishways, Water, 16.3; 439, 2024. doi.org/10.3390/w16030439

36-24 Berkay Erat, Efe Barbaros, Kerem Taştan, Experimental and numerical investigation on flow and scour upstream of pipe intake structures, Arabian Journal for Science and Engineering, 49; pp. 5973-5987, 2024. doi.org/10.1007/s13369-023-08539-5

31-24 Mahmoud T. Ghonim, Ashraf Jatwary, Magdy H. Mowafy, Martina Zelenakova, Hany F. Abd-Elhamid, H. Omara, Hazem M. Eldeeb, Estimating the peak outflow and maximum erosion rate during the breach of embankment dam, Water, 16.3; 399, 2024. doi.org/10.3390/w16030399

30-24 Deli Qiu, Jiangdong Xu, Hai Lin, Numerical analysis of the overtopping failure of the tailings dam model based on inception similarity optimization, Applied Sciences, 14.3; 990, 2024. doi.org/10.3390/app14030990

29-24 Tino Kostić, Yuanjie Ren, Stephan Theobald, 3D-CFD analysis of bedload transport in channel bifurcations, Journal of Hydroinformatics, 26.2; 480, 2024. doi.org/10.2166/hydro.2024.175

28-24 Chenhao Zhang, Xin Li, Renyu Zhou, Bernard A. Engel, Yubao Wang, Hydraulic characteristics and flow measurement performance of portable primary and subsidiary fish-shaped flumes in U-shaped channels, Flow Measurement and Instrumentation, 96; 102539, 2024. doi.org/10.1016/j.flowmeasinst.2024.102539

23-24 Arash Ahmadi, Amir H. Azimi, Effects of ramp slope and discharge on hydraulic performance of submerged hump weirs, Flow Measurement and Instrumentation, 96; 102520, 2024. doi.org/10.1016/j.flowmeasinst.2023.102520

20-24 Parisa Mirkhorli, Amir Ghaderi, Forough Alizadeh Sanami, Mirali Mohammadi, Alban Kuriqi, An investigation on hydraulic aspects of rectangular labyrinth pool and weir fishway using FLOW-3D, Arabian Journal for Science and Engineering, 2024. doi.org/10.1007/s13369-023-08537-7

17-24 Veysi Kartal, M. Emin Emiroglu, Numerical simulation of the flow passing through the side weir-gate, Flow Measurement and Instrumentation, 95; 102519, 2024. doi.org/10.1016/j.flowmeasinst.2023.102519

16-24 Junqi Chen, Wen Zhang, Chen Cao, Han Yin, Jia Wang, Wankun Li, Yanhao Zheng, The effect of the check dam on the sediment transport and control in debris flow events, Engineering Geology, 329; 107397, 2024. doi.org/10.1016/j.enggeo.2023.107397

15-24 Jingxin Mao, Yijun Wang, Hao Zhang, Xiaofei Jing, Study on the influence of urban water supply pipeline leakage on the scouring failure law of cohesive soil subgrade, Water, 16.1; 93, 2024. doi.org/10.3390/w16010093

13-24 Ramtin Sabeti, Mohammad Heidarzadeh, Alessandro Romano, Gabriel Barajas Ojeda, Javier L. Lara, Three-dimensional simulations of subaerial landslide-generated wave: comparing OpenFOAM and FLOW-3D HYDRO models, Pure and Applied Geophysics, 2024. doi.org/10.1007/s00024-024-03443-x

12-24 Damoon Mohammad Ali Nezhadian, Hossein Hamidifar, Effects of floating debris on flow characteristics around slotted bridge piers: a numerical simulation, Water, 16.1; 90, 2024. doi.org/10.3390/w16010090

10-24 Zhong Gao, Jinpeng Liu, Wen He, Bokai Lu, Manman Wang, Zikai Tang, Study of a tailings dam failure pattern and post-failure effects under flooding conditions, Water, 16.1; 68, 2024. doi.org/10.3390/w16010068

9-24 Yilin Yang, Jinzhao Li, Waner Zou, Benshuang Chen, Numerical investigation of flow and scour around complex bridge piers in wind-wave-current conditions, Journal of Marine Science and Engineering, 12.1; 23, 2024. doi.org/10.3390/jmse12010023

7-24 Penfeng Li, Haixiao Jing, Guodong Li, Generation and prediction of water waves induced by rigid piston-like landslide, Natural Hazards, 120; pp. 2683-2704, 2024. doi.org/10.1007/s11069-023-06300-7

6-24 Jie-yuan Zhang, Xing-Guo Yang, Gang Fan, Hai-bo Li, Jia-wen Zhou, Physical and numerical modeling of a landslide dam breach and flood routing process, Journal of Hydrology, 628; 130552, 2024. doi.org/10.1016/j.jhydrol.2023.130552

241-23 Kamyab Habibi, Farinaz Erfani Fard, Seyed Amin Asghari Pari, Investigation of the flow field around bridge piers on a non-eroding bed using FLOW-3D, 22nd Iranian Conference on Hydraulics, 2023.

240-23 Dong Hyun Kim, Su-Hyun Yang, Sung Sik Joo, Seung Oh Lee, Analysis of flow velocity in the channel according to the type of revetments blocks using 3D numerical model, Journal of Korean Society of Disaster and Security, 16.4; pp. 9-18, 2023.

238-23 Mohamed Elberry, Abdelazim Ali, Fahmy Abdelhaleem, Amir Ibrahim, Numerical investigations of stilling basin efficiency downstream radial gates – A case study of New Assuit Barrage, Egypt, Journal of Water and Land Development, 59 (X-XII); pp. 126-134, 2023. doi.org/10.24425/jwld.2023.147237

237-23 Oğuzhan Uluyurt, Numerical investigation of energy dissipation using macro roughness elements in a stilling basin, Thesis, Middle East Technical University, 2023.

236-23 Mohamed Galal Eltarabily, Mohamed Kamel Elshaarawy, Mohamed Elkiki, Tarek Selim, Computational fluid dynamics and artificial neural networks for modelling lined irrigation canals with low-density polyethylene and cement concrete liners, Irrigation and Drainage, 2023. doi.org/10.1002/ird.2911

234-23 Saman Baharvand, Babak Lashkar-Ara, Hydrodynamic and biological assessment of modified meander C-type fishway to pass rainbow trout (Oncorhynchus mykiss) fish species, Scientia Iranica, 2023.

232-23 Chung R. Song, Richard L. Wood, Basil Abualshar, Bashar Al-Nimri, Mark O’Brien, Mitra Nasimi, Erosion resistant rock shoulder, Nebraska Department of Transportation, Final Report SPR-P1(20), 2023.

230-23 Rongzhao Zhang, Wen Xiong, Xiaolong Ma, C.S. Cai, A forensic investigation of progressive bridge collapse under floods and asymmetric scour validated by incident video footages, Structure and Infrastructure Engineering, 2023. doi.org/10.1080/15732479.2023.2290701

229-23 Vivek Sharma Jai, Hydraulic simulation and numerical investigation of the flow in the stepped spillway with the help of FLOW-3D software, International Journal of Innovative Science and Research Technology, 8; 2023. doi.org/10.5281/zenodo.8076943

228-23 Hao Chen, Yang Tang, Jinyuan Li, Faxin Zhu, Xianbin Teng, The influence of impinging distance variable on the effect of submerged jet scour, Journal of Physics: Conference Series, 2660; 012004, 2023. doi.org/10.1088/1742-6596/2660/1/012004

225-23 Kyle Thomson, Towards safer bridges: Overcoming 2D model limitations and reducing flood risks through computational fluid dynamics, IPWEA Annual Conference Gold Coast, 2023.

223-23 Chong-xun Wang, Jia-wen Zhou, Chang-bing Zhang, Yu-xiang Hu, Hao Chen, Hai-bo Li, Failure mechanism analysis and mass movement assessment of a post‑earthquake high slope, Arabian Journal of Geosciences, 16; 683, 2023. doi.org/10.1007/s12517-023-11737-y

222-23 Alaa Ghzayel, Anthony Beaudoin, Sébastien Jarny, Three-dimensional numerical study of a local scour downstream of a submerged sluice gate using two hydro-morphodynamic models, SedFoam and FLOW-3D, Comptes Rendus. Mécanique, 351.G2; pp. 525-550, 2023. doi.org/10.5802/crmeca.223

221-23 Othon José Rocha, Luiz Renato Martini Filho, Caio Gripp Benevente, Letícia Imbuzeiro, Modelagem CFD-3D aplicada ao setor de mineração (3D CFD modeling applied to the mining sector), 34th Seminario Nacional de Grandes Barragens, 2023.

220-23 Gaetano Crispino, David Dorthe, Corrado Gisonni, Michael Pfister, Optimal hydraulic design of supercritical bend manholes, Proceedings of the 40th IAHR World Congress, Eds. Helmut Habersack, Michael Tritthart, Lisa Waldenberger, 2023. doi.org/10.3850/978-90-833476-1-5_iahr40wc-p0090-cd

218-23 Arun Goel, Aditya Thakare, M.K. Verma, M.Z. Qamar, Evaluation of design approaches of desilting basins for hydroelectric projects in Himalayan region, ISH Journal of Hydraulic Engineering, 30.1; pp. 122-131, 2023. doi.org/10.1080/09715010.2023.2283593

215-23 Ahmed Ashour, Emam Salah, Numerical study of energy dissipation in baffled stepped spillway using FLOW-3D, International Journal of Research in Engineering, Science and Management, 6.11; 2023.

214-23 Farshid Mosaddeghi, Mete Koken, Ismail Aydin, Finite volume analysis of dam breaking subjected to earthquake accelerations, Journal of Hydraulic Research, 61.6; pp. 845-865, 2023. doi.org/10.1080/00221686.2023.2259858

213-23 Habib Ahmari, Ashish Bhurtyal, Srinivas Prabakar, Qazi Ashique Mowla, Saman Baharvand, Hassan Alsaud, Laboratory testing of engineered media for biofiltration swales, University of Texas Arlington, Project No. TRN6835 Final Report, 2023.

209-23 Cong Trieu Tran, Cong Ty Trinh, Prediction of the vortex evolution and influence analysis of rough bed in a hydraulic jump with the Omega-Liutex method, Tehnički Vjesnik, 30.6; 2023. doi.org/10.17559/TV-20230206000327

203-23 Muhammad Waqas Zaffar, Ishtiaq Hassan, Zulfiqar Ali, Kaleem Sarwar, Muhammad Hassan, Muhammad Taimoor Mustafa, Faizan Ahmed Waris, Numerical investigation of hydraulic jumps with USBR and wedge-shaped baffle block basins for lower tailwater, AQUA – Water Infrastructure, Ecosystems and Society, 72.11; 2081, 2023. doi.org/10.2166/aqua.2023.261

201-23 E.F.R. Bollaert, Digital cloud-based platform to predict rock scour at high-head dams, Role of Dams and Reservoirs in a Successful Energy Transition, Eds. Robert Boes, Patrice Droz, Raphael Leroy, 2023. doi.org/10.1201/9781003440420

200-23 Iacopo Vona, Oysters’ integration on submerged breakwaters as nature-based solution for coastal protection within estuarine environments, Thesis, University of Maryland, 2023.

198-23 Hao Chen, Xianbin Teng, Zhibin Zhang, Faxin Zhu, Jie Wang, Zhaohao Zhang, Numerical analysis of the influence of the impinging distance on the scouring efficiency of submerged jets, Fluid Dynamics & Materials Processing, 20.2; pp. 429-445, 2023. doi.org/10.32604/fdmp.2023.030585

193-23 Chen Peng, Liuweikai Gu, Qiming Zhong, Numerical simulation of dam failure process based on FLOW-3D, Advances in Frontier Research on Engineering Structures, pp. 545-550, 2023. doi.org/10.3233/ATDE230245

189-23 Rebecca G. Englert, Age J. Vellinga, Matthieu J.B. Cartigny, Michael A. Clare, Joris T. Eggenhuisen, Stephen M. Hubbard, Controls on upstream-migrating bed forms in sandy submarine channels, Geology, 51.12; PP. 1137-1142, 2023. doi.org/10.1130/G51385.1

187-23 J.W. Kim, S.B. Woo, A numerical approach to the treatment of submerged water exchange processes through the sluice gates of a tidal power plant, Renewable Energy, 219.1; 119408, 2023. doi.org/10.1016/j.renene.2023.119408

186-23 Chan Jin Jeong, Hyung Jun Park, Hyung Suk Kim, Seung Oh Lee, Study on fish-friendly flow characteristic in stepped fishway, Proceedings of the Korean Water Resources Association Conference, 2023. (In Korean)

185-23 Jaehwan Yoo, Sedong Jang, Byunghyun Kim, Analysis of coastal city flooding in 2D and 3D considering extreme conditions and climate change, Proceedings of the Korean Water Resources Association Conference, 2023. (In Korean)

180-23 Prathyush Nallamothu, Jonathan Gregory, Jordan Leh, Daniel P. Zielinski, Jesse L. Eickholt, Semi-automated inquiry of fish launch angle and speed for hazard analysis, Fishes, 8.10; 476, 2023. doi.org/10.3390/fishes8100476

179-23 Reza Norouzi, Parisa Ebadzadeh, Veli Sume, Rasoul Daneshfaraz, Upstream vortices of a sluice gate: an experimental and numerical study, AQUA – Water Infrastructure, Ecosystems and Society, 72.10; 1906, 2023. doi.org/10.2166/aqua.2023.269

178-23 Bai Hao Li, How Tion Puay, Muhammad Azfar Bin Hamidi, Influence of spur dike’s angle on sand bar formation in a rectangular channel, IOP Conference Series: Earth and Environmental Science, 1238; 012027, 2023. doi.org/10.1088/1755-1315/1238/1/012027

177-23 Hao Zhe Khor, How Tion Puay, Influence of gate lip angle on downpull forces for vertical lift gates, IOP Conference Series: Earth and Environmental Science, 1238; 012019, 2023. doi.org/10.1088/1755-1315/1238/1/012019

175-23 Juan Francisco Macián-Pérez, Rafael García-Bartual, P. Amparo López-Jiménez, Francisco José Vallés-Morán, Numerical modeling of hydraulic jumps at negative steps to improve energy dissipation in stilling basins, Applied Water Science, 13.203; 2023. doi.org/10.1007/s13201-023-01985-4

174-23 Ahintha Kandamby, Dusty Myers, Narrows bypass chute CFD analysis, Dam Safety, 2023.

173-23 H. Jalili, R.C. Mahon, M.F. Martinez, J.W. Nicklow, Sediment sluicing from the reservoirs with high efficiency, SEDHYD, 2023.

170-23 Ramith Fernando, Gangfu Zhang, Beyond 2D: Unravelling bridge hydraulics with CFD modelling, 24th Queensland Water Symposium, 2023.

169-23 K. Licht, G. Lončar, H. Posavčić, I. Halkijević, Short-time numerical simulation of ultrasonically assisted electrochemical removal of strontium from water, 18th International Conference on Environmental Science and Technology (CEST), 2023.

166-23 Ebrahim Hamid Hussein Al-Qadami, Mohd Adib Mohammad Razi, Wawan Septiawan Damanik, Zahiraniza Mustaffa, Eduardo Martinez-Gomariz, Fang Yenn Teo, Anwar Ameen Hezam Saeed, Understanding the stability of passenger vehicles exposed to water flows through 3D CFD modelling, Sustainability, 15.17; 13262, 2023. doi.org/10.3390/su151713262

165-23 Ebrahim Hamid Hussein Al-Qadami, Mohd Adib Mohammad Razi, Wawan Septiawan Damanik, Zahiraniza Mustaffa, Eduardo Martinez-Gomariz, Fang Yenn Teo, Anwar Ameen Hezam Saeed, 3-dimensional numerical study on the critical orientation of the flooded passenger vehicles, Engineering Letters, 31.3; 2023.

159-23 Ruosi Zha, Weiwen Zhao, Decheng Wan, Numerical study of wave-ice floe interactions and overwash by a meshfree particle method, Ocean Engineering, 286.2; 115681, 2023. doi.org/10.1016/j.oceaneng.2023.115681

157-23 Hamidreza Abbaszadeh, Kiyoumars Roushangar, Zahra Salahpour, Theoretical and numerical investigation of the sluice and radial gates discharge coefficient in the conditions of sill application, Iranian Journal of Irrigation and Drainage, 2023.

155-23 Ting Zhang, Qunwei Dai, Dejun An, R. Agustin Mors, Qiongfang Li, Ricardo A. Astini, Jingwen He, Jie Cui, Ruiyang Jiang, Faqin Dong, Zheng Dang, Effective mechanisms in the formation of pool-rimstone dams in continental carbonate systems: The case study of Huanglong, China, Sedimentary Geology, 455; 106486, 2023. doi.org/10.1016/j.sedgeo.2023.106486

153-23 Jyh-Haw Tang, Aisyah Puspasari, Numerical simulation of scouring around four cylindrical piles with different inclination angles arrangements, Proceedings of the 4th International Conference on Advanced Engineering and Technology (ICATECH), 1; pp. 139-145, 2023. doi.org/10.5220/0012115500003680

152-23 Yasser El-Saie, Osama Saleh, Marihan El-Sayed, Abdelazim Ali, Eslam El-Tohamy, Yasser Mohamed Sadek, Dissipation of water energy by using a special stilling basin via three-dimensional numerical model, The Open Civil Engineering Journal, 17; 2023.

150-23 Shelby J. Koldewyn, Using computational fluid dynamics for predicting hydraulic performance of arced labyrinth weirs, Thesis, Utah State University, 2023.

146-23 Lav Kumar Gupta, Manish Pandey, P. Anand Raj, Numerical modeling of scour and erosion processes around spur dike, CLEAN Soil Air Water, 2023. doi.org/10.1002/clen.202300135

145-23 Nariman Mehranfar, Morteza Kolahdoozan, Shervin Faghihirad, Development of multiphase solver for the modeling of turbidity currents (the case study of Dez Dam), International Journal of Multiphase Flow, 168; 104586, 2023. doi.org/10.1016/j.ijmultiphaseflow.2023.104586

143-23 Fei Ma, Lei You, Jin Liu, Estimation in jet deflection angle of deflector on the chutes, ISH Journal of Hydraulic Engineering, 2023. doi.org/10.1080/09715010.2023.2241416

142-23 Ali Emre Ulu, M. Cihan Aydin, Fevzi Önen, Energy dissipation potentials of grouped spur dikes in an open channel, Water Resources Management, 37; pp. 4491-4506, 2023. doi.org/10.1007/s11269-023-03571-4

141-23 Haofei Feng, Shengtao Du, David Z. Zhu, Numerical study of effects of flushing gate height and sediment bed properties on cleaning efficiency in a simplified self-cleaning device, Water Science & Technology, 88.3; pp. 542-555, 2023. doi.org/10.2166/wst.2023.245

140-23 Brian Fox, 3D CFD modeling with FLOW-3D HYDRO, Proceedings, SEDHYD, 2023.

139-23 Masoumeh (Negar) Ghahramani, Improved empirical and numerical predictive modelling of potential tailings dam breaches and their downstream impacts, Thesis, The University of British Columbia, 2023.

138-23 Rui-Tao Yin, Bing Zhu, Shuai-Wei Yuan, Jun-Nan Li, Zhen-Yu Yang, Zhi-Ying Yang, Dynamic analyses of long-span cable-stayed and suspension cooperative system bridge under combined actions of wind and regular wave loads, Applied Ocean Research, 138; 103683, 2023. doi.org/10.1016/j.apor.2023.103683

137-23 Xuefeng Chen, Shikang Liu, Yuanming Wang, Yuetong Hao, Kefeng Li, Hongtao Wang, Ruifeng Liang, Restoration of a fish-attracting flow field downstream of a dam based on the swimming ability of endemic fishes: A case study in the upper Yangtze River basin, Journal of Environmental Management, 345; 118694, 2023. doi.org/10.1016/j.jenvman.2023.118694

135-23 Nelson Cely Calixto, Melquisedec Cortés Zambrano, Alberto Galvis Castaño, Gustavo Carrillo Soto, Analysis of a three-dimensional numerical modeling approach for predicting scour processes in longitudinal walls of granular bedding rivers, EUREKA: Physics and Engineering, 4; 2023. doi.org/10.21303/2461-4262.2023.002682

134-23 Tarek Selim, Abdelrahman Kamal Hamed, Mohamed Elkiki, Mohamed Galal Eltarabily, Numerical investigation of flow characteristics and energy dissipation over piano key and trapezoidal labyrinth weirs under free-flow conditions, Modeling Earth Systems and Environment, 2023. doi.org/10.1007/s40808-023-01844-w

132-23 Gang Lei, Hongbao Huang, Xiongan Fan, Junan Su, Qingxiang Wang, Xiaoliang Wang, Kai Peng, Jianmin Zhang, Influence of the transition section shape on the cavitation characteristics of the bottom outlet, Water Supply, 23.8; pp. 3061-3077, 2023. doi.org/10.2166/ws.2023.181

129-23 Rasoul Daneshfaraz, Reza Norouzi, John Patrick Abraham, Parisa Ebadzadeh, Behnaz Akhondi, Maryam Abar, Determination of flow characteristics over sharp-crested triangular plan form weirs using numerical simulation, Water Science, 37.1; 2023. doi.org/10.1080/23570008.2023.2236384

124-23 Imad Habeeb Obead, Ahmed Rahim Sahib, Mathematical models for simulating the hydraulic behavior of flow deflectors: laboratory and CFD-based study, Innovative Infrastructure Solutions, 8; 213, 2023. doi.org/10.1007/s41062-023-01170-1

120-23 Kwang-Su Kim, Jong-Song Jo, Improving the power output estimation for a tidal power plant: a case study, Energy, 2023. doi.org/10.1680/jener.23.00007

119-23 Hanif Pourshahbaz, Tadros Ghobrial, Ahmad Shakibaeinia, Evaluating a CFD model for three-dimensional simulation of ice structure interaction, CGU HS Committee on River Ice Processes and the Environment (CRIPE), 22nd Workshop on the Hydraulics of Ice-Covered Rivers, 2023.

118-23 Sruthi T. Kalathil, Venu Chandra, Experimental and numerical investigation on the hydraulic design criteria for a step-pool nature-like fishway, Progress in Physical Geography: Earth and Environment, 2023. doi.org/10.1177/03091333231187619

117-23 Lav Kumar Gupta, Manish Pandey, P. Anand Raj, Numerical simulation of local scour around the pier with and without airfoil collar (AFC) using FLOW-3D, Environmental Fluid Mechanics, 2023. doi.org/10.1007/s10652-023-09932-2

116-23 Paolo Peruzzo, Matteo Cappozzo, Nicola Durighetto, Gianluca Botter, Local processes with a global impact: unraveling the dynamics of gas evasion in a step-and-pool configuration, Biogeosciences, 20; pp. 3261-3271, 2023. doi.org/10.5194/bg-20-3261-2023

114-23 Muhammad Waqas Zaffar, Ishtiaq Hassan, Numerical investigation of hydraulic jump for different stilling basins using FLOW-3D, AQUA – Water Infrastructure, Ecosystems and Society, 72.7; pp. 1320-1343, 2023. doi.org/10.2166/aqua.2023.290

112-23 J. Chandrashekhar Iyer, E.J. James, Indispensability of model studies in the design of settling basins of hydropower projects in river basins with high sediment yield, Fluid Mechanics and Hydraulics, pp. 367-381, 2023. doi.org/10.1007/978-981-19-9151-6_30

110-23 Ehsan Afaridegan, Nosratollah Amanian, Abbas Parsaie, Amin Gharehbaghi, Hydraulic investigation of modified semi-cylindrical weirs, Flow Measurement and Instrumentation, 93; 102405, 2023. doi.org/10.1016/j.flowmeasinst.2023.102405

103-23 Jin Yang, Weqiang Su, Binhua Li, Calculation of natural alluvial separation of sandy tailings slurry based on FLOW-3D, Mechanics in Engineering, 45.3; pp. 559-564, 2023.

101-23 Tutku Ezgi Yönter, Modeling of river flow and flow dynamics near junctions, Thesis, Middle East Technical University, 2023.

99-23 Mohammad Sadeghpour, Mohammad Vaghefi, Seyed Hamed Meraji, Artificial roughness dimensions and their influence on bed topography variations downstream of a culvert: An experimental study, Water Resources Management, 37; pp. 4143-4157, 2023. doi.org/10.1007/s11269-023-03543-8

98-23 M. Aksel, Numerical analysis of the flow structure around inclined solid cylinder and its effect on bed shear stress distribution, Journal of Applied Fluid Mechanics, 16.8; pp. 1627-1639, 2023. doi.org/10.47176/jafm.16.08.1697

96-23 Waqed H. Hassan, Nidaa Ali Shabat, Numerical investigation of the optimum angle for open channel junction, Civil Engineering Journal, 9.5; 2023. doi.org/10.28991/CEJ-2023-09-05-07

94-23 Emad Khanahmadi, Amir Ahmad Dehghani, Seyed Nasrollah Alenabi, Navid Dehghani, Edward Barry, Hydraulic of curved type-B piano key weirs characteristics under free flow conditions, Modeling Earth Systems and Environment, 2023. doi.org/10.1007/s40808-023-01790-7

93-23 Laura-Louise Alicke, Improved priming of a siphon spillway with the use of a flexible membrane researched through numerical modeling, Thesis, Idaho State University, 2023.

91-23 Wahidullah Hakim Safi, Pranab K. Mohapatra, Flow past: An artificial channel confluence with mobile bed, World Environmental and Water Resources Congress, 2023. doi.org/10.1061/9780784484852.023

86-23 Ghasem Aghashirmohammadi, Mohammad Heidarnejad, Mohammad Hossein Purmohammadi, Alireza Masjedi, Experimental and numerical study the effect of flow splitters on trapezoidal and triangular labyrinth weirs, Water Science, 37.1; 2023. doi.org/10.1080/23570008.2023.2210391

84-23 Nikolaos Xafoulis, Evangelia Farsirotou, Spyridon Kotsopoulos, Three-dimensional computational flow dynamics analysis of free-surface flow in a converging channel, Energy Systems, 2023. doi.org/10.1007/s12667-023-00575-2

83-23 Navid Zarrabi, Mohammad Navid Moghim, Mohammad Reza Eftakhar, A semi-analytical study of fiber reinforced concrete abrasion-erosion through water-borne sand-jet flow in hydraulic structures, Tribology International, 185; 108568, 2023. doi.org/10.1016/j.triboint.2023.108568

82-23 Somayyeh Saffar, Abbas Safaei, Farnoush Aghaee Daneshvar, Mohsen Solimani Babarsad, FLOW-3D numerical modeling of converged side weir, Iranian Journal of Science and Technology: Transactions of Civil Engineering, 2023. doi.org/10.1007/s40996-023-01077-y

79-23 Wangshu Wei, Optimization of the mixing in a produced water storage tank using CFD, World Environmental and Water Resources Congress, Eds. Sajjad Ahmad, Regan Murray, 2023. doi.org/10.1061/9780784484852

77-23 Paolo Peruzzo, Matteo Cappozzo, Nicola Durighetto, Gianluca Botter, Local processes with global impact: unraveling the dynamics of gas evasion in a step-and-pool configuration, Biogeosciences, 2023. doi.org/10.5194/bg-2023-68

74-23 Kaywan Othman Ahmed, Nazim Nariman, Dara Muhammad Hawez, Ozgur Kisi, Ata Amini, Predicting and optimizing the influenced parameters for culvert outlet scouring utilizing coupled FLOW 3D-surrogate modeling, Iranian Journal of Science and Technology: Transactions of Civil Engineering, 47; pp. 1763-1776, 2023. doi.org/10.1007/s40996-023-01096-9

73-23 Ashkan Pilbala, Mahmood Shafai Bejestan, Seyed Mohsen Sajjadi, Luigi Fraccarollo, Investigation of the different models of elliptical-Lopac gate performance under submerged flow conditions, Water Resources Management, 2023. doi.org/10.1007/s11269-023-03512-1

69-23 Chonoor Abdi Chooplou, Masoud Ghodsian, Davoud Abediakbar, Aram Ghafouri, An experimental and numerical study on the flow field and scour downstream of rectangular piano key weirs with crest indentations, Innovative Infrastructure Solutions, 8; 140, 2023. doi.org/10.1007/s41062-023-01108-7

68-23 Mahmood Shafai Bajestan, Mostafa Adineh, Hesam Ghodousi, Numerical modeling of sediment washing (flushing) in dams (Case study of Sefidrood dam), Journal of Irrigation Sciences and Engineering, 2023.

65-23 Charles R. Ortloff, CFD investigations of water supply and distribution systems of ancient old and new world archaeological sites to recover ancient water engineering technologies, Water, 15.7; 1363, 2023. doi.org/10.3390/w15071363

63-23 Rasoul Daneshfaraz, Reza Norouzi, Parisa Ebadzadeh, Alban Kuriqi, Effect of geometric shapes of chimney weir on discharge coefficient, Journal of Applied Water Engineering and Research, 2023. doi.org/10.1080/23249676.2023.2192977

59-23 Hongbo Mi, Chuan Wang, Xuanwen Jia, Bo Hu, Hongliang Wang, Hui Wang, Yong Zhu, Hydraulic characteristics of continuous submerged jet impinging on a wall by using numerical simulation and PIV experiment, Sustainability, 15.6; 5159, 2023. doi.org/10.3390/su15065159

58-23 O.P. Maurya, K.K. Nandi, S. Modalavalasa, S. Dutta, Flow hydrodynamics influences due to flood plain sand mining in a meandering channel, Sustainable Environment (NERC 2022), Eds. D. Deka, S.K. Majumder, M.K., Purkait, 2023. doi.org/10.1007/978-981-19-8464-8_16

57-23 Harshvardhan Harshvardhan, Deo Raj Kaushal, CFD modelling of local scour and flow field around isolated and in-line bridge piers using FLOW-3D, EGU General Assembly, EGU23-3820, 2023. doi.org/10.5194/egusphere-egu23-3820

54-23 Reza Nematzadeh, Gholam-Abbas Barani, Ehsan Fadaei-Kermani, Numerical investigation of bed-load changes on sediment flushing cavity, Journal of Hydraulic Structures, 4; 2023. doi.org/10.22055/jhs.2023.42542.1237

53-23 Rasoul Daneshfaraz, Reza Norouzi, Parisa Ebadzadeh, Alban Kuriqi, Influence of sill integration in labyrinth sluice gate hydraulic performance, Innovative Infrastructure Solutions, 8.118; 2023. doi.org/10.1007/s41062-023-01083-z

52-23 Shu Jiang, Yutong Hua, Mengxing He, Ying-Tien Lin, Biyun Sheng, Effect of a circular cylinder on hydrodynamic characteristics over a strongly curved channel, Sustainability, 15.6; 4890, 2023. doi.org/10.3390/su15064890

51-23 Ehsan Aminvash, Kiyoumars Roushangar, Numerical investigation of the effect of the frontal slope of simple and blocky stepped spillway with sem-circular crest on its hydraulic parameters, Iranian Journal of Irrigation and Drainage, 17.1; pp. 102-116, 2023.

50-23 Shizhuang Chen, Anchi Shi, Weiya Xu, Long Yan, Huanling Wang, Lei Tian, Wei-Chau Xie, Numerical investigation of landslide-induced waves: a case study of Wangjiashan landslide in Baihetan Reservoir, China, Bulletin of Engineering Geology and the Environment, 82.110; 2023. doi.org/10.1007/s10064-023-03148-w

49-23 Jiří Procházka, Modelling flow distribution in inlet galleries, VTEI, 1; 2023. doi.org/10.46555/VTEI.2022.11.002

47-23 M. Cihan Aydin, Ali Emre Ulu, Numerical investigation of labyrinth‑shaft spillway, Applied Water Science, 13.89; 2023. doi.org/10.1007/s13201-023-01896-4

46-23 Guangwei Lu, Jinxin Liu, Zhixian Cao, Youwei Li, Xueting Lei, Ying Li, A computational study of 3D flow structure in two consecutive bends subject to the influence of tributary inflow in the middle Yangtze River, Engineering Applications of Computational Fluid Mechanics, 17.1; 2183901, 2023. doi.org/10.1080/19942060.2023.2183901

44-23 Xun Huang, Zhijian Zhang, Guoping Xiang, Sensitivity analysis of a built environment exposed to the synthetic monophasic viscous debris flow impacts with 3-D numerical simulations, Natural Hazards and Earth Systems Sciences, 23; pp. 871-889, 2023. doi.org/10.5194/nhess-23-871-2023

43-23 Yisheng Zhang, Jiangfei Wang, Qi Zhou, Haisong Li, Wei Tang, Investigation of the reduction of sediment deposition and river flow resistance around dimpled surface piers, Environmental Science and Pollution Research, 2023. doi.org/10.1007/s11356-023-26034-0

41-23 Nejib Hassen Abdullahi, Zulfequar Ahmad, Experimental and CFD studies on the flow field and bed morphology in the vicinity of a sediment mining pit, EGU General Assembly, 2023. doi.org/10.5194/egusphere-egu23-446

40-23 Seonghyeon Ju, Jongchan Yi, Junho Lee, Jiyoon Kim, Chaehwi Lim, Jihoon Lee, Kyungtae Kim, Yeojoon Yoon, High-efficiency microplastic sampling device improved using CFD analysis, Sustainability, 15.5; 3907, 2023. doi.org/10.3390/su15053907

37-23 Muhammad Waqas Zaffar, Ishtiaq Hassan, Hydraulic investigation of stilling basins of the barrage before and after remodelling using FLOW-3D, Water Supply, 23.2; pp. 796-820, 2023. doi.org/10.2166/ws.2023.032

35-23 Mehmet Cihan, Ali Emre Ulu, Developing and testing a novel pressure-controlled hydraulic profile for siphon-shaft spillways, Flow Measurement and Instrumentation, 90; 102332, 2023. doi.org/10.1016/j.flowmeasinst.2023.102332

28-23 Yuhan Li, Deshen Chen, Yan Zhang, Hongliang Qian, Jiangyang Pan, Yinghan Huang, Boo Cheong Khoo, Thermal structure and hydrodynamic analysis for a new type of flexible temperature-control curtain, Journal of Hydrology, 618; 129170, 2023. doi.org/10.1016/j.jhydrol.2023.129170

22-23 Rong Lu, Wei Jiang, Jingjing Xiao, Dongdong Yuan, Yupeng Li, Yukai Hou, Congcong Liu, Evaluation of moisture migration characteristics of permeable asphalt pavement: Field research, Journal of Environmental Management, 330; 117176, 2023. doi.org/10.1016/j.jenvman.2022.117176

18-23 Thu Hien-T. Le, Van Chien Nguyen, Cong Phuc Dang, Thanh Thin-T. Nguyen, Bach Quynh-T. Pham, Ngoc Thoa Le, Numerical assessment on hydraulic safety of existing conveyance structures, Modeling Earth Systems and Environment, 2023. doi.org/10.1007/s40808-022-01685-z

17-23 Meysam Nouri, Parveen Sihag, Ozgur Kisi, Mohammad Hemmati, Shamsuddin Shahid, Rana Muhammad Adnan, Prediction of the discharge coefficient in compound broad-crested weir gate by supervised data mining techniques, Sustainability, 15.1; 433, 2023. doi.org/10.3390/su15010433

16-23 Mohammad Bananmah, Mohammad Reza Nikoo, Mehrdad Ghorbani Mooselu, Amir H. Gandomi, Optimum design of the chute-flip bucket system using evolutionary algorithms considering conflicts between decision-makers, Expert Systems with Applications, 216; 119480, 2023. doi.org/10.1016/j.eswa.2022.119480

13-23 Xiaoyu Yi, Wenkai Feng, Botao Li, Baoguo Yin, Xiujun Dong, Chunlei Xin, Mingtang Wu, Deformation characteristics, mechanisms, and potential impulse wave assessment of the Wulipo landslide in the Baihetan reservoir region, China, Landslides, 20; pp. 615-628, 2023. doi.org/10.1007/s10346-022-02010-6

11-23 Şebnem Elçi, Oğuz Hazar, Nisa Bahadıroğlu, Derya Karakaya, Aslı Bor, Destratification of thermally stratified water columns by air diffusers, Journal of Hydro-environment Research, 46; pp. 44-59, 2023. doi.org/10.1016/j.jher.2022.12.001

7-23 Shikang Liu, Yuxiang Jian, Pengcheng Li, Ruifeng Liang, Xuefeng Chen, Yunong Qin, Yuanming Wang, Kefeng Li, Optimization schemes to significantly improve the upstream migration of fish: A case study in the lower Yangtze River basin, Ecological Engineering, 186; 106838, 2023. doi.org/10.1016/j.ecoleng.2022.106838

6-23 Maryam Shahabi, Javad Ahadiyan, Mehdi Ghomeshi, Marjan Narimousa, Christos Katopodis, Numerical study of the effect of a V-shaped weir on turbulence characteristics and velocity in V-weir fishways, River Research and Applications, 2023. doi.org/10.1002/rra.4064

5-23 Muhammad Nur Aiman Bin Roslan, Hee Min Teh, Faris Ali Hamood Al-Towayti, Numerical simulations of wave diffraction around a low-crested semicircular breakwater, Proceedings of the 5th International Conference on Water Resources (ICWR), Lecture Notes in Civil Engineering, 293.1; pp. 421-433, 2023. doi.org/10.1007/978-981-19-5947-9_34

4-23 V.K. Krishnasamy, M.H. Jamal, M.R. Haniffah, Modelling of wave runup and overtopping over Accropode II breakwater, Proceedings of the 5th International Conference on Water Resources (ICWR), Lecture Notes in Civil Engineering, 293.1; pp. 435-444, 2023. doi.org/10.1007/978-981-19-5947-9_35

3-23 Anas S. Ghamam, Mohammed A. Abohatem, Mohd Ridza Bin Mohd Haniffah, Ilya K. Othman, The relationship between flow and pressure head of partially submerged orifice through CFD modelling using Flow-3D, Proceedings of the 5th International Conference on Water Resources (ICWR), Lecture Notes in Civil Engineering, 293.1; pp. 235-250, 2023. doi.org/10.1007/978-981-19-5947-9_20

2-23 M.Y. Zainab, A.L.S. Zebedee, A.W. Ahmad Khairi, I. Zulhilmi, A. Shahabuddin, Modelling of an embankment failure using Flow-3D, Proceedings of the 5th International Conference on Water Resources (ICWR), Lecture Notes in Civil Engineering, 293.1; pp. 273-282, 2023. doi.org/10.1007/978-981-19-5947-9_23

1-23 Gaetano Crispino, David Dorthe, Corrado Gisonni, Michael Pfister, Hydraulic capacity of bend manholes for supercritical flow, Journal of Irrigation and Drainage Engineering, 149.2; 2022. doi.org/10.1061/JIDEDH.IRENG-10014

178-22 Greg Collecutt, Urs Baeumer, Shuang Gao, Bill Syme, Bridge deck afflux modelling — benchmarking of CFD and SWE codes to real-world data, Hydrology & Water Resources Symposium, 2022.

177-22 Kyle Thomson, Mitchell Redenbach, Understanding cone fishway flow regimes with CFD, Hydrology & Water Resources Symposium, 2022.

176-22 Kyle Thomson, Practical application of CFD for fish passage design, Hydrology & Water Resources Symposium, 2022.

173-22 Melquisedec Cortés Zambrano, Helmer Edgardo Monroy González, Wilson Enrique Amaya Tequia, Three-dimensional numerical evaluation of hydraulic efficiency and discharge coefficient in grate inlets, Environmental Research, Engineering and Management, 78.4; 2022. doi.org/10.5755/j01.erem.78.4.31243

168-22 Mohammad Javadi Rad, Pedram Eshaghieh Firoozbadi, Fatemeh Rostami, Numerical investigation of the effect dimensions of rectangular sedimentation tanks on its hydraulic efficiency using Flow-3D Software, Acta Technica Jaurinensis, 15.4; 2022. doi.org/10.14513/actatechjaur.00672

165-22 Saman Mostafazadeh-Fard, Zohrab Samani, Dissipating culvert end design for erosion control using CFD platform FLOW-3D numerical simulation modeling, Journal of Pipeline Systems Engineering and Practice, 14.1; 2022. doi.org/10.1061/JPSEA2.PSENG-1373

164-22 Mohammad Ahmadi, Alban Kuriqi, Hossein Mohammad Nezhad, Amir Ghaderi, Mirali Mohammadi, Innovative configuration of vertical slot fishway to enhance fish swimming conditions, Journal of Hydrodynamics, 34; pp. 917-933, 2022. doi.org/10.1007/s42241-022-0071-y

160-22 Serife Yurdagul Kumcu, Kamil Ispir, Experimental and numerical modeling of various energy dissipator designs in chute channels, Applied Water Science, 12; 266, 2022. doi.org/10.1007/s13201-022-01792-3

154-22 Usama Majeed, Najam us Saqib, Muhammad Akbar, Numerical analysis of energy dissipator options using computational fluid dynamics modeling — a case study of Mirani Dam, Arabian Journal of Geosciences, 15; 1614, 2022. doi.org/10.1007/s12517-022-10888-8

151-22 Meibao Chen, Xiaofei Jing, Xiaohua Liu, Xuewei Huang, Wen Nie, Multiscale investigations of overtopping erosion in reinforced tailings dam induced by mud-water mixture overflow, Geofluids, 7209176, 2022. doi.org/10.1155/2022/7209176

150-22 Daniel Damov, Francis Lepage, Michel Tremblay, Arian Cueto Bergner, Marc Villaneuve, Frank Scarcelli, Gord McPhail, Calabogie GS redevelopment—Capacity upgrade and hydraulic design, CDA Annual Conference, Proceedings, 2022.

147-22 Hien T.T. Le, Chien Van Nguyen, Duc-Hau Le, Numerical study of sediment scour at meander flume outlet of boxed culvert diversion work, PLoS One, 17.9; e0275347, 2022. doi.org/10.1371/journal.pone.0275347

140-22 Jackson Tellez-Alvarez, Manuel Gómez, Beniamino Russo, Numerical simulation of the hydraulic behavior of stepped stairs in a metro station, Advances in Hydroinformatics, Eds. P. Gourbesville, G. Caignaert, pp. 1001-1009, 2022. doi.org/10.1007/978-981-19-1600-7_62

139-22 Juan Yu, Keyao Liu, Anbin Li, Mingfei Yang, Xiaodong Gao, Xining Zhao, Yaohui Cai, The effect of plug height and inflow rate on water flow characteristics in furrow irrigation, Agronomy, 12; 2225, 2022. doi.org/10.3390/agronomy12092225

138-22 Nejib Hassen Abdullahi, Zulfequar Ahmad, Flow and morphological characteristics in mining pits of a river through numerical and experimental modeling, Modeling Earth Systems and Environment, 2022. doi.org/10.1007/s40808-022-01530-3

137-22 Romain N.H.M. Van Mol, Christian Mörtl, Azin Amini, Sofia Siachou, Anton Schleiss, Giovanni De Cesare, Plunge pool scour and bank erosion: assessment of protection measures for Ilarion dam by physical and numerical modelling, HYDRO 2022, Proceedings, 27.02, 2022.

136-22 Yong Cheng, Yude Song, Chunye Liu, Wene Wang, Xiaotao Hu, Numerical simulation research on the diversion characteristics of a trapezoidal channel, Water, 14.17; 2706, 2022. doi.org/10.3390/w14172706

135-22 Zegao Yin, Yao Li, Jiahao Li, Zihan Zheng, Zihan Ni, Fuxiang Zheng, Experimental and numerical study on hydrodynamic characteristics of a breakwater with inclined perforated slots under regular waves, Ocean Engineering, 264; 112190, 2022. doi.org/10.1016/j.oceaneng.2022.112190

133-22 Azin Amini, Martin Wickenhauser, Azad Koliji, Three-dimensional numerical modelling of Al-Salam storm water pumping station in Saudi Arabia, 39th IAHR World Congress, 2022. doi.org/10.3850/IAHR-39WC2521716X20221013

131-22 Alireza Koshkonesh, Mohammad Daliri, Khuram Riaz, Fariba Ahmadi Dehrashid, Farhad Bahmanpouri, Silvia Di Francesco, Dam-break flow dynamics over a stepped channel with vegetation, Journal of Hydrology, 613.A; 128395, 2022. doi.org/10.1016/j.jhydrol.2022.128395

129-22 Leona Repnik, Samuel Vorlet, Mona Seyfeddine, Asin Amini, Romain Dubuis, Giovanni De Cesare, Pierre Bourqui, Pierre-Adil Abdelmoula, Underground flow section modification below the new M3 Flon Metro station in Lausanne, Advances in Hydroinformatics, Eds. P. Gourbesville, G. Caignaert, pp. 979-999, 2022. doi.org/10.1007/978-981-19-1600-7_61

127-22 Qin Panpan, Huang Bolin, Li Bin, Chen Xiaoting, Jiang Xiannian, Hazard analysis of landslide blocking a river in Guang’an Village, Wuxi County, Chongqing, China, Landslides, 2022. doi.org/10.1007/s10346-022-01943-2

124-22 Vaishali P. Gadhe, S.R. Patnaik, M.R. Bhajantri, V.V. Bhosekar, Physical and numerical modeling of flow pattern near upstream guide wall of Jigaon Dam spillway, Maharashtra, River and Coastal Engineering, Water Science and Technology Library 117; pp. 237-247, 2022. doi.org/10.1007/978-3-031-05057-2_21

123-22 M.Z. Qamar, M.K. Verma, A.P. Meshram, Neena Isaac, Numerical simulation of desilting chamber using Flow 3D, River and Coastal Engineering, Water Science and Technology Library 117; pp. 177-186, 2022. doi.org/10.1007/978-3-031-05057-2_16

122-22 Abbas Parsaie, Saleh Jaafer Suleiman Shareef, Amir Hamzeh Haghiabi, Raad Hoobi Irzooki, Rasul M. Khalaf, Numerical simulation of flow on circular crested stepped spillway, Applied Water Science, 12; 215, 2022. doi.org/10.1007/s13201-022-01737-w

121-22 Kazuki Kikuchi, Hajime Naruse, Morphological function of trace fossil Paleodictyon: An approach from fluid simulation, Paleontological Research, 26.4; pp. 378-389, 2022. doi.org/10.2517/PR210001

120-22 Najam us Saqib, Muhammad Akbar, Huali Pan, Guoqiang Ou, Numerical investigation of pressure profiles and energy dissipation across the stepped spillway having curved treads using FLOW 3D, Arabian Journal of Geosciences, 15; 1363, 2022. doi.org/10.1007/s12517-022-10505-8

116-22 Ayşegül Özgenç Aksoy, Mustafa Doğan, Semire Oğuzhan Güven, Görkem Tanır, Mehmet Şükrü Güney, Experimental and numerical investigation of the flood waves due to partial dam break, Iranian Journal of Science and Technology: Transactions of Civil Engineering, 2022. doi.org/10.1007/s40996-022-00919-5

115-22 Abdol Mahdi Behroozi, Mohammad Vaghefi, Experimental and numerical study of the effect of zigzag crests with various geometries on the performance of A-type piano key weirs, Water Resources Management, 2022. doi.org/10.1007/s11269-022-03261-7

114-22 Xun Huang, Zhijian Zhang, Guoping Xiang, Sensitivity analysis of a built environment exposed to debris flow impacts with 3-D numerical simulations, Natural Hazards and Earth Systems Sciences, 2022. doi.org/10.5194/nhess-2022-173

113-22 Ahmad Ferdowsi, Mahdi Valikhan-Anaraki, Saeed Farzin, Sayed-Farhad Mousavi, A new combination approach for optimal design of sedimentation tanks based on hydrodynamic simulation model and machine learning algorithms, Physics and Chemistry of the Earth, 103201, 2022. doi.org/10.1016/j.pce.2022.103201

103-22 Wangshu Wei, Optimization of the mixing in produced water (PW) retention tank with computational fluid dynamics (CFD) modeling, Produced Water Society Permian Basin, 2022.

100-22 Michael Rasmussen, Using computational fluid dynamics to predict flow through the West Crack Breach of the Great Salt Lake railroad causeway, Thesis, Utah State University, 2022.

99-22 Emad Khanahmadi, Amir Ahmad Dehghani, Mehdi Meftah Halaghi, Esmaeil Kordi, Farhad Bahmanpouri, Investigating the characteristic of hydraulic T-jump on rough bed based on experimental and numerical modeling, Modeling Earth Systems and Environment, 2022. doi.org/10.1007/s40808-022-01434-2

97-22 Andrea Franco, A multidisciplinary approach for landslide-generated impulse wave assessment in natural mountain basins from a cascade analysis perspective, Thesis, University of Innsbruck, 2022.

96-22 Geng Li, Binbin Wang, Simulation of the flow field and scour evolution by turbulent wall jets under a sluice gate, Journal of Hydro-environment Research, 43; pp. 22-32, 2022. doi.org/10.1016/j.jher.2022.06.002

95-22 Philippe April LeQuéré, Ioan Nistor, Abdolmajid Mohammadian, Stefan Schimmels, Hydrodynamics and associated scour around a free-standing structure due to turbulent bores, Journal of Waterway, Port, Coastal, and Ocean Engineering, 148.5; 2022.

94-22 Ramtin Sobhkhiz Foumani, Alireza Mardookhpour, Numerical simulation of geotechnical effects on local scour in inclined pier group with Flow-3D software, Water Resources Engineering Journal, 15.52; 2022. doi.org/10.30495/wej.2021.20404.2114

92-22 Geng Li, Binbin Wang, Caroline M. Elliott, Bruce C.Call, Duane C. Chapman, Robert B. Jacobson, A three-dimensional Lagrangian particle tracking model for predicting transport of eggs of rheophilic-spawning carps in turbulent rivers, Ecological Modelling, 470; 110035, 2022. doi.org/10.1016/j.ecolmodel.2022.110035

91-22 Ebrahim Hamid Hussein Al-Qadami, Zahiraniza Mustaffa, Mohamed Ezzat Al-Atroush, Eduardo Martinez-Gomariz, Fang Yenn Teo, Yasser El-Husseini, A numerical approach to understand the responses of passenger vehicles moving through floodwaters, Journal of Flood Risk Management, 2022. doi.org/10.1111/jfr3.12828

90-22 Jafar Chabokpour, Hazi Md Azamathulla, Numerical simulation of pollution transport and hydrodynamic characteristics through the river confluence using FLOW 3D, Water Supply, 2022. doi.org/10.2166/ws.2022.237

88-22 Michael Rasmussen, Som Dutta, Bethany T. Neilson, Brian Mark Crookston, CFD model of the density-driven bidirectional flows through the West Crack Breach in the Great Salt Lake causeway, Water, 13.17; 2423, 2022. doi.org/10.3390/w13172423

84-22 M. Sobhi Alasta, Ahmed Shakir Ali Ali, Saman Ebrahimi, Muhammad Masood Ashiq, Abubaker Sami Dheyab, Adnan AlMasri, Anass Alqatanani, Mahdis Khorram, Modeling of local scour depth around bridge pier using FLOW 3D, CPRASE: Transactions of Civil and Environmental Engineering, 8.2; 2781, 2022.

83-22 Mostafa Taherian, Seyed Ahmad Reza Saeidi Hosseini, Abdolmajid Mohammadian, Overview of outfall discharge modeling with a focus on turbulence modeling approaches, Advances in Fluid Mechanics: Modelling and Simulations, Eds. Dia Zeidan, Eric Goncalves Da Silva, Jochen Merker, Lucy T. Zhang, 2022.

80-22 Soraya Naderi, Mehdi Daryaee, Seyed Mahmood Kashefipour, Mohammadreza Zayeri, Numerical and experimental study of flow pattern due to a plate installed upstream of orifice in pressurized flushing of dam reservoirs, Iranian Journal of Science and Technology: Transactions of Civil Engineering, 2022. doi.org/10.1007/s40996-022-00896-9

79-22 Mahmood Nemati Qalee Maskan, Khosrow Hosseini, Effects of the simultaneous presence of bridge pier and abutment on the change of erodible bed using FLOW-3D, Journal of Iranian Water Engineering Research, 1.1; pp. 57-69, 2022. doi.org/10.22034/IJWER.2022.312074.1012

75-22 Steven Matthew Klawitter, L-shaped spillway crest leg interface geometry impacts, Thesis, University of Colorado at Denver, 2022.

72-22 Md. Mukdiul Islam, Md. Samiun Basir, Badal Mahalder, Local scour analysis around single pier and group of piers in tandem arrangement using FLOW 3D, 6th International Conference on Civil Engineering for Sustainable Development (ICCESD 2022), Khulna, Bangladesh, February 10-12, 2022.

69-22 Kuo-Wei Liao, Zhen-Zhi Wang, Investigation of air-bubble screen on reducing scour in river facility, EGU General Assembly, EGU22-1137, 2022. doi.org/10.5194/egusphere-egu22-1137

68-22 Cüneyt Yavuz, Energy dissipation scale for dam prototypes, ADYU Mühendislik Bilimleri Dergisi (Adıyaman University Journal of Engineering Sciences), 16; pp. 105-116, 2022.

66-22 Ji-jian Lian, Shu-guang Zhang, Jun-ling He, An improved numerical model of ski-jump flood discharge atomization, Journal of Mountain Science, 19; pp. 1263-1273, 2022. doi.org/10.1007/s11629-021-7158-8

62-22 Ali Montazeri, Amirabbas Abedini, Milad Aminzadeh, Numerical investigation of pollution transport around a single non-submerged spur dike, Journal of Contaminant Hydrology, 248; 104018, 2022. doi.org/10.1016/j.jconhyd.2022.104018

61-22 Junhao Zhang, Yining Sun, Zhixian Cao, Ji Li, Flow structure at reservoir-tributary confluence with high sediment load, EGU General Assembly, Vienna, Austria, May 23-27, 2022. doi.org/10.5194/egusphere-egu22-1419

60-22 S. Modalavalasa, V. Chembolu, V. Kulkarni, S. Dutta, Numerical and experimental investigation of effect of green river corridor on main channel hydraulics, Recent Trends in River Corridor Management, Lecture Notes in Civil Engineering 229, pp. 165-176, 2022.

59-22 Philippe April LeQuéré, Scouring around multiple structures in extreme flow conditions, Thesis, University of Ottawa, Ottawa, ON, Canada, 2022.

51-22 Xianzheng Zhang, Chenxiao Tang, Yajie Yu, Chuan Tang, Ning Li, Jiang Xiong, Ming Chen, Some considerations for using numerical methods to simulate possible debris flows: The case of the 2013 and 2020 Wayao debris flows (Sichuan, China), Water, 14.7; 1050, 2022. doi.org/10.3390/w14071050

50-22 Daniel Valero, Daniel B. Bung, Sebastien Erpicum, Yann Peltier, Benjamin Dewals, Unsteady shallow meandering flows in rectangular reservoirs: A modal analysis of URANS modelling, Journal of Hydro-environment Research, 42; pp. 12-20, 2022. doi.org/10.1016/j.jher.2022.03.002

49-22 Behzad Noroozi, Jalal Bazargan, Comparing the behavior of ogee and piano key weirs under unsteady flows, Journal of Irrigation and Water Engineering, 12.3; pp. 97-120. doi.org/10.22125/iwe.2022.146390

47-22 Chen Xiaoting, Huang Bolin, Li Bin, Jiang Xiannian, Risk assessment study on landslide-generated impulse waves: case study from Zhongliang Reservoir in Chongqing, China, Bulletin of Engineering Geology and the Environment, 81; 158, 2022. doi.org/10.1007/s10064-022-02629-8

45-22 Mehmet Cihan Aydin, Havva Seda Aytemur, Ali Emre Ulu, Experimental and numerical investigation on hydraulic performance of slit-check dams in subcritical flow condition, Water Resources Management, 36; pp. 1693-1710, 2022. doi.org/10.1007/s11269-022-03103-6

43-22 Suresh Modalavalasa, Vinay Chembolu, Subashisa Dutta, Vinayak Kulkarni, Combined effect of bridge piers and floodplain vegetation on main channel hydraulics, Experimental Thermal and Fluid Science, 136; 110669, 2022. doi.org/10.1016/j.expthermflusci.2022.110669

40-22 Mohammad Bagherzadeh, Farhad Mousavi, Mohammad Manafpour, Reza Mirzaee, Khosrow Hoseini, Numerical simulation and application of soft computing in estimating vertical drop energy dissipation with horizontal serrated edge, Water Supply, 127, 2022. doi.org/10.2166/ws.2022.127

39-22 Masumeh Rostam Abadi, Saeed Kazemi Mohsenabadi, Numerical study of the weir angle on the flow pattern and scour around the submerged weirs, International Journal of Modern Physics C, 2022. doi.org/10.1142/S0129183122501108

38-22 Vahid Hassanzadeh Vayghan, Mirali Mohammadi, Behzad Shakouri, Experimental and numerical examination of flow resistance in plane bed streams, Arabian Journal of Geosciences, 15; 483, 2022. doi.org/10.1007/s12517-022-09691-2

36-22 Kyong Oh Baek, Byong Jo Min, Investigation for flow characteristics of ice-harbor type fishway installed at mid-sized streams in Korea, Journal of Korea Water Resources Association, 55.1; pp. 33-42, 2022.

34-22 Kyong Oh Baek, Jeong-Min Lee, Eun-Jin Han, Young-Do Kim, Evaluating attraction and passage efficiencies of pool-weir type fishways based on hydraulic analysis, Applied Sciences, 12.4; 1880, 2022. doi.org/10.3390/app12041880

33-22 Christopher Paschmann, David F. Vetsch, Robert M. Boes, Design of desanding facilities for hydropower schemes based on trapping efficiency, Water, 14.4; 520, 2022. doi.org/10.3390/w14040520

29-22 Mehdi Heyrani, Abdolmajid Mohammadian, Ioan Nistor, Omerul Faruk Dursun, Application of numerical and experimental modeling to improve the efficiency of Parshall flumes: A review of the state-of-the-art, Hydrology, 9.2; 26 2022. doi.org/10.3390/hydrology9020026

28-22 Kiyoumars Roushangar, Samira Akhgar, Saman Shanazi, The effect of triangular prismatic elements on the hydraulic performance of stepped spillways in the skimming flow regime: An experimental study and numerical modeling, Journal of Hydroinformatics, 2022. doi.org/10.2166/hydro.2022.031

26-22 Jorge Augusto Toapaxi Alvarez, Roberto Silva, Cristina Torres, Modelación numérica tridimensional del medidor de caudal Palmer-Bowlus aplicando el programa FLOW-3D (Three-dimensional numerical modeling of the Palmer-Bowlus measuring flume applying the FLOW-3D program), Revista Politécnica, 49.1; 2022. doi.org/10.33333/rp.vol49n1.04

25-22 Shubing Dai, Sheng Jin, Numerical investigations of unsteady critical flow conditions over an obstacle using three models, Physics of Fluids, 34.2; 2022. doi.org/10.1063/5.0077585

23-22 Negar Ghahramani, H. Joanna Chen, Daley Clohan, Shielan Liu, Marcelo Llano-Serna, Nahyan M. Rana, Scott McDougall, Stephen G. Evans, W. Andy Take, A benchmarking study of four numerical runout models for the simulation of tailings flows, Science of the Total Environment, 827; 154245, 2022. doi.org/10.1016/j.scitotenv.2022.154245

22-22 Bahador Fatehi-Nobarian, Razieh Panahi, Vahid Nourani, Investigation of the Effect of Velocity on Secondary Currents in Semicircular Channels on Hydraulic Jump Parameters, Iranian Journal of Science and Technology: Transactions of Civil Engineering, 2022. doi.org/10.1007/s40996-021-00800-x

21-22 G. Viccione, C. Izzo, Three-dimensional CFD modelling of urban flood forces on buildings: A case study, Journal of Physics: Conference Series, 2162; 012020, 2022. doi.org/10.1088/1742-6596/2162/1/012020

20-22 Tohid Jamali Rovesht, Mohammad Manafpour, Mehdi Lotfi, Effects of flow condition and chute geometry on the shockwaves formed on chute spillway, Journal of Water Supply: Research and Technology-Aqua, 71.2; pp. 312-329, 2022. doi.org/10.2166/aqua.2022.139

17-22 Yansong Zhang, Jianping Chen, Fujun Zhou, Yiding Bao, Jianhua Yan, Yiwei Zhang, Yongchao Li, Feifan Gu, Qing Wang, Combined numerical investigation of the Gangda paleolandslide runout and associated dam breach flood propagation in the upper Jinsha River, SE Tibetan Plateau, Landslides, 2022. doi.org/10.1007/s10346-021-01768-5

16-22 I.A. Hernández-Rodríguez, J. López-Ortega, G. González-Blanco, R. Beristain-Cardoso, Performance of the UASB reactor during wastewater treatment and the effect of the biogas bubbles on its hydrodynamics, Environmental Technology, pp. 1-21, 2022. doi.org/10.1080/09593330.2022.2028015

15-22 Xu Deng, Sizhong He, Zhouhong Cao, Numerical investigation of the local scour around a coconut tree root foundation under wave-current joint actions, Ocean Engineering, 245; 110563, 2022. doi.org/10.1016/j.oceaneng.2022.110563

14-22 Rasool Kosaj, Rafid S. Alboresha, Sadeq O. Sulaiman, Comparison between numerical Flow3d software and laboratory data, for sediment incipient motion, IOP Conference Series: Earth and Environmental Science, 961; 012031, 2022. doi.org/10.1088/1755-1315/961/1/012031

13-22 Joseph M. Sinclair, S. Karan Venayagamoorthy, Timothy K. Gates, Some insights on flow over sharp-crested weirs using computational fluid dynamics: Implications for enhanced flow measurement, Journal of Irrigation and Drainage Engineering, 148.6; 2022. doi.org/10.1061/(ASCE)IR.1943-4774.0001652

12-22 Mete Koken, Ismail Aydin, Serhan Ademoglu, An iterative hydraulic design methodology based on numerical modeling for piano key weirs, Journal of Hydro-environment Research, 40; pp. 131-141, 2022. doi.org/10.1016/j.jher.2022.01.002

11-22 Najam us Saqib, Muhammad Akbar, Huali Pan, Guoqiang Ou, Muhammad Mohsin, Assad Ali, Azka Amin, Numerical analysis of pressure profiles and energy dissipation across stepped spillways having curved risers, Applied Sciences, 12.1; 448, 2022. doi.org/10.3390/app12010448

8-22 Jian-cheng Li, Wei Wang, Yan-ming Zheng, Xiao-hao Wen, Jing Feng, Li Sheng, Chen Wang, Ming-kun Qiu, Using computational fluid dynamic simulation with Flow-3D to reveal the origin of the mushroom stone in the Xiqiao Mountain of Guangdong, China, Journal of Mountain Science, 19; pp. 1-15, 2022. doi.org/10.1007/s11629-021-7019-5

4-22 Ankur Kapoor, Aniruddha D. Ghare, Avinash M. Badar, CFD simulations of conical central baffle flumes, Journal of Irrigation and Drainage Engineering, 148.2, 2022. doi.org/10.1061/(ASCE)IR.1943-4774.0001653

1-22 Juan Francisco Fuentes-Pérez, Ana L. Quaresma, Antonio Pinheiro, Francisco Javier Sanz-Ronda, OpenFOAM vs FLOW-3D: A comparative study of vertical slot fishway modelling, Ecological Engineering, 174, 2022.

145-21 Ebrahim Hamid Hussein Al-Qadami, Zahiraniza Mustaffa, Eduardo Martínez-Gomariz, Khamaruzaman Wan Yusof, Abdurrasheed S. Abdurrasheed, Syed Muzzamil Hussain Shah, Numerical simulation to assess floating instability of small passenger vehicle under sub-critical flow, Lecture Notes in Civil Engineering, 132; pp. 258-265, 2021. doi.org/10.1007/978-981-33-6311-3_30

140-21 J. Zulfan, B.M.Ginting, Investigation of spillway rating curve via theoretical formula, laboratory experiment, and 3D numerical modeling: A case study of the Riam Kiwa Dam, Indonesia, IOP Conference Series: Earth and Environmental Science, 930; 012030, 2021. doi.org/10.1088/1755-1315/930/1/012030

130-21 A.S.N. Amirah, F.Y. Boon, K.A. Nihla, Z.M. Salwa, A.W. Mahyun, N. Yaacof, Numerical simulation of flow within a storage area of HDPE modular pavement, IOP Conference Series: Earth and Environmental Science, 920; 012044, 2021. doi.org/10.1088/1755-1315/920/1/012044

129-21 Z.M. Yusof, Z.A.L. Shirling, A.K.A. Wahab, Z. Ismail, S. Amerudin, A hydrodynamic model of an embankment breaching due to overtopping flow using FLOW-3D, IOP Conference Series: Earth and Environmental Science, 920; 012036, 2021. doi.org/10.1088/1755-1315/920/1/012036

125-21 Ketaki H. Kulkarni, Ganesh A. Hinge, Comparative study of experimental and CFD analysis for predicting discharge coefficient of compound broad crested weir, Water Supply, 2021. doi.org/10.2166/ws.2021.403

119-21 Yan Liang, Yiqun Hou, Wangbin Hu, David Johnson, Junxing Wang, Flow velocity preference of Schizothorax oconnori Lloyd swimming upstream, Global Ecology and Conservation, 32; e01902, 2021. doi.org/10.1016/j.gecco.2021.e01902

116-21 Atabak Feizi, Aysan Ezati, Shadi Alizadeh Marallo, Investigation of hydrodynamic characteristics of flow caused by dam break around a downstream obstacle considering different reservoir shapes, Numerical Methods in Civil Engineering, 6.2; pp. 36-48, 2021.

114-21 Jackson Tellez-Alvarez, Manuel Gómez, Beniamino Russo, Marko Amezaga-Kutija, Numerical and experimental approaches toestimate discharge coefficients and energy loss coefficients in pressurized grated inlets, Hydrology, 8.4; 162, 2021. doi.org/10.3390/hydrology8040162

113-21 Alireza Khoshkonesh, Blaise Nsom, Fariba Ahmadi Dehrashid, Payam Heidarian, Khuram Riaz, Comparison of the SWE and 3D models in simulation of the dam-break flow over the mobile bed, 5th Scientific Conference of Applied Research in Science and Technology of Iran, 2021.

103-21 Farshid Mosaddeghi, Numerical modeling of dam breach in concrete gravity dams, Thesis, Middle East Technical University, Ankara, Turkey, 2021.

102-21 Xu Deng, Sizhong He, Zhouhong Cao, Tao Wu, Numerical investigation of the hydrodynamic response of an impermeable sea-wall subjected to artificial submarine landslide-induced tsunamis, Landslides, 2021. doi.org/10.1007/s10346-021-01773-8

100-21 Jinmeng Yang, Zhenzhong Shen, Jing Zhang, Xiaomin Teng, Wenbing Zhang, Jie Dai, Experimental and numerical investigation of flow over a spillway bend with different combinations of permeable spur dikes, Water Supply, ws2021335, 2021. doi.org/10.2166/ws.2021.335

99-21 Nigel A. Temple, Josh Adams, Evan Blythe, Zidane Twersky, Steve Blair, Rick Harter, Investigating the performance of novel oyster reef materials in Apalachicola Bay, Florida, ASBPA National Coastal Conference, New Orleans, LA, USA, September 28-October 1, 2021.

94-21 Xiaoyang Shen, Mario Oertel, Comparitive study of nonsymmetrical trapezoidal and rectangular piano key weirs with varying key width ratios, Journal of Hydraulic Engineering, 147.11, 2021. doi.org/10.1061/(ASCE)HY.1943-7900.0001942

93-21 Aysar Tuama Al-Awadi, Mahmoud Saleh Al-Khafaji, CFD-based model for estimating the river bed morphological characteristics near cylindrical bridge piers due to debris accumulation, Water Resources, 48; pp. 763-773, 2021. doi.org/10.1134/S0097807821050031

92-21 Juan Francisco Macián-Pérez, Francisco José Vallés-Morán, Rafael García-Bartual, Assessment of the performance of a modified USBR Type II stilling basin by a validated CFD model, Journal of Irrigation and Drainage Engineering , 147.11, 2021. doi.org/10.1061/(ASCE)IR.1943-4774.0001623

91-21 Ali Yıldız, Ali İhsan Martı, Mustafa Göğüş, Numerical and experimental modelling of flow at Tyrolean weirs, Flow Measurement and Instrumentation, 81; 102040, 2021. doi.org/10.1016/j.flowmeasinst.2021.102040

90-21 Yasamin Aghaei, Fouad Kilanehei, Shervin Faghihirad, Mohammad Nazari-Sharabian, Dynamic pressure at flip buckets of chute spillways: A numerical study, International Journal of Civil Engineering, 2021. doi.org/10.1007/s40999-021-00670-4

88-21 Shang-tuo Qian, Yan Zhang, Hui Xu, Xiao-sheng Wang, Jian-gang Feng, Zhi-xiang Li, Effects of surface roughness on overflow discharge of embankment weirs, Journal of Hydrodynamics, 33; pp. 773-781, 2021. doi.org/10.1007/s42241-021-0068-y

86-21 Alkistis Stergiopoulou, Vassilios Stergiopoulos, CFD simulations of tubular Archimedean screw turbines harnessing the small hydropotential of Greek watercourses, International Journal of Energy and Environment, 12.1; pp. 19-30, 2021.

85-21 Jun-tao Ren, Xue-fei Wu, Ting Zhang, A 3-D numerical simulation of the characteristics of open channel flows with submerged rigid vegetation, Journal of Hydrodynamics, 33; pp. 833-843, 2021. doi.org/10.1007/s42241-021-0063-3

84-21 Rasoul Daneshfaraz, Amir Ghaderi, Maryam Sattariyan, Babak Alinejad, Mahdi Majedi Asl, Silvia Di Francesco, Investigation of local scouring around hydrodynamic and circular pile groups under the influence of river material harvesting pits, Water, 13.6; 2192, 2021. doi.org/10.3390/w13162192

83-21 Mahdi Feizbahr, Navid Tonekaboni, Guang-Jun Jiang, Hong-Xia Chen, Optimized vegetation density to dissipate energy of flood flow in open canals, Mathematical Problems in Engineering, 2021; 9048808, 2021. doi.org/10.1155/2021/9048808

80-21 Wenjun Liu, Bo Wang, Yakun Guo, Numerical study of the dam-break waves and Favre waves down sloped wet rigid-bed at laboratory scale, Journal of Hydrology, 602; 126752, 2021. doi.org/10.1016/j.jhydrol.2021.126752

79-21 Zhen-Dong Shen, Yang Zhang, The three-dimensional simulation of granular mixtures weir, IOP Conference Series: Earth and Environmental Science, 820; 012024, 2021. doi.org/10.1088/1755-1315/820/1/012024

75-21 Mehrdad Ghorbani Mooselu, Mohammad Reza Nikoo, Parnian Hashempour Bakhtiari, Nooshin Bakhtiari Rayani, Azizallah Izady, Conflict resolution in the multi-stakeholder stepped spillway design under uncertainty by machine learning techniques, Applied Soft Computing, 110; 107721, 2021. doi.org/10.1016/j.asoc.2021.107721

73-21 Romain Van Mol, Plunge pool rehabilitation with prismatic concrete elements – Case study and physical model of Ilarion dam in Greece, Infoscience (EPFL Scientific Publications), 2021.

70-21 Khosro Morovati, Christopher Homer, Fuqiang Tian, Hongchang Hu, Opening configuration design effects on pooled stepped chutes, Journal of Hydraulic Engineering, 147.9, 2021. doi.org/10.1061%2F(ASCE)HY.1943-7900.0001897

68-21 R. Daneshfaraz, E. Aminvash, S. Di Francesco, A. Najibi, J. Abraham, Three-dimensional study of the effect of block roughness geometry on inclined drop, Numerical Methods in Civil Engineering, 6.1; pp. 1-9, 2021.

66-21 Benjamin Hohermuth, Lukas Schmoker, Robert M. Boes, David Vetsch, Numerical simulation of air entrainment in uniform chute flow, Journal of Hydraulic Research, 59.3; pp. 378-391, 2021. doi.org/10.1080/00221686.2020.1780492

65-21 Junjun Tan, Honglin Tan, Elsa Goerig, Senfan Ke, Haizhen Huang, Zhixiong Liu, Xiaotao Shi, Optimization of fishway attraction flow based on endemic fish swimming performance and hydraulics, Ecological Engineering, 170; 106332, 2021. doi.org/10.1016/j.ecoleng.2021.106332

63-21 Erdinc Ikinciogullari, Muhammet Emin Emiroglu, Mehmet Cihan Aydin, Comparison of scour properties of classical and trapezoidal labyrinth weirs, Arabian Journal for Science and Engineering, 2021. doi.org/10.1007/s13369-021-05832-z

59-21 Elias Wehrmeister, José J. Ota, Separation in overflow spillways: A computational analysis, Journal of Hydraulic Research, 59, 2021. doi.org/10.1080/00221686.2021.1908438

53-21 Zongxian Liang, John Ditter, Riadh Atta, Brian Fox, Karthik Ramaswamy, Numerical modeling of tailings dam break using a Herschel-Bulkley rheological model, USSD Annual Conference, online, May 11-21, 2021.

51-21 Yansong Zhang, Jianping Chen, Chun Tan, Yiding Bao, Xudong Han, Jianhua Yan, Qaiser Mehmood, A novel approach to simulating debris flow runout via a three-dimensional CFD code: A case study of Xiaojia Gully, Bulletin of Engineering Geology and the Environment, 80.5, 2021. doi.org/10.1007/s10064-021-02270-x

49-21 Ramtin Sabeti, Mohammad Heidarzadeh, Preliminary results of numerical simulation of submarine landslide-generated waves, EGU General Assembly 2021, online, April 19-30, 2021. doi.org/10.5194/egusphere-egu21-284

48-21 Anh Tuan Le, Ken Hiramatsu, Tatsuro Nishiyama, Hydraulic comparison between piano key weir and rectangular labyrinth weir, International Journal of GEOMATE, 20.82; pp. 153-160, 2021. doi.org/10.21660/2021.82.j2106

46-21 Maoyi Luo, Faxing Zhang, Zhaoming Song, Liyuan Zhang, Characteristics of flow movement in complex canal system and its influence on sudden pollution accidents, Mathematical Problems in Engineering, 6617385, 2021. doi.org/10.1155/2021/6617385

42-21 Jakub Major, Martin Orfánus, Zbyněk Zachoval, Flow over broad-crested weir with inflow by approach shaft – Numerical model, Civil Engineering Journal, 30.1; 19, 2021. doi.org/10.14311/CEJ.2021.01.0019

41-21 Amir Ghaderi, Saeed Abbasi, Experimental and numerical study of the effects of geometric appendance elements on energy dissipation over stepped spillway, Water, 13.7; 957, 2021. doi.org/10.3390/w13070957

38-21 Ana L. Quaresma, António N. Pinheiro, Modelling of pool-type fishways flows: Efficiency and scale effects assessment, Water, 13.6; 851, 2021. doi.org/10.3390/w13060851

37-21 Alireza Khoshkonesh, Blaise Nsom, Farhad Bahmanpouri, Fariba Ahmadi Dehrashid, Atefah Adeli, Numerical study of the dynamics and structure of a partial dam-break flow using the VOF Method, Water Resources Management, 35; pp. 1513-1528, 2021. doi.org/10.1007/s11269-021-02799-2

36-21 Amir Ghaderi, Mehdi Dasineh, Francesco Aristodemo, Constanza Aricò, Numerical simulations of the flow field of a submerged hydraulic jump over triangular macroroughnesses, Water, 13.5; 674, 2021. doi.org/10.3390/w13050674

35-21 Hongliang Qi, Junxing Zheng, Chenguang Zhang, Modeling excess shear stress around tandem piers of the longitudinal bridge by computational fluid dynamics, Journal of Applied Water Engineering and Research, 2021. doi.org/10.1080/23249676.2021.1884614

31-21 Seth Siefken, Robert Ettema, Ari Posner, Drew Baird, Optimal configuration of rock vanes and bendway weirs for river bends: Numerical-model insights, Journal of Hydraulic Engineering, 147.5, 2021. doi.org/10.1061/(ASCE)HY.1943-7900.0001871

29-21 Débora Magalhães Chácara, Waldyr Lopes Oliveira Filho, Rheology of mine tailings deposits for dam break analyses, REM – International Engineering Journal, 74.2; pp. 235-243, 2021. doi.org/10.1590/0370-44672020740098

27-21 Ling Peng, Ting Zhang, Youtong Rong, Chunqi Hu, Ping Feng, Numerical investigation of the impact of a dam-break induced flood on a structure, Ocean Engineering, 223; 108669, 2021. doi.org/10.1016/j.oceaneng.2021.108669

26-21 Qi-dong Hou, Hai-bo Li, Yu-Xiang Hu, Shun-chao Qi, Jian-wen Zhou, Overtopping process and structural safety analyses of the earth-rock fill dam with a concrete core wall by using numerical simulations, Arabian Journal of Geosciences, 14; 234, 2021. doi.org/10.1007/s12517-021-06639-w

25-21 Filipe Romão, Ana L. Quaresma, José M. Santos, Susana D. Amaral, Paulo Branco, António N. Pinheiro, Performance and fish transit time over vertical slots, Water, 13.3; 275, 2021. doi.org/10.3390/w13030275

23-21 Jiahou Hu, Chengwei Na, Yi Wang, Study on discharge velocity of tailings mortar in dam break based on FLOW-3D, IOP Conference Series: Earth and Environmental Science, 6th International Conference on Hydraulic and Civil Engineering, Xi’an, China, December 11-13, 2020, 643; 012052, 2021. doi.org/10.1088/1755-1315/643/1/012052

21-21 Asad H. Aldefae, Rusul A. Alkhafaji, Experimental and numerical modeling to investigate the riverbank’s stability, SN Applied Sciences, 3; 164, 2021. doi.org/10.1007/s42452-021-04168-5

20-21 Yangliang Lu, Jinbu Yin, Zhou Yang, Kebang Wei, Zhiming Liu, Numerical study of fluctuating pressure on stilling basin slabwith sudden lateral enlargement and bottom drop, Water, 13.2; 238, 2021. doi.org/10.3390/w13020238

18-21 Prashant Prakash Huddar, Vishwanath Govind Bhave, Hydraulic structure design with 3D CFD model, Proceedings, 25th International Conference on Hydraulics, Water Resources and Coastal Engineering (HYDRO 2020), Odisha, India, March 26-28, 2021.

17-21 Morteza Sadat Helbar, Atefah Parvaresh Rizi, Javad Farhoudi, Amir Mohammadi, 3D flow simulation to improve the design and operation of the dam bottom outlets, Arabian Journal of Geosciences, 14; 90, 2021. doi.org/10.1007/s12517-020-06378-4

15-21 Charles R. Ortloff, Roman hydraulic engineering: The Pont du Gard Aqueduct and Nemausus (Nîmes) Castellum, Water, 13.1; 54, 2021. doi.org/10.3390/w13010054

12-21 Mehdi Karami Moghadam, Ata Amini, Ehsan Karami Moghadam, Numerical study of energy dissipation and block barriers in stepped spillways, Journal of Hydroinformatics, 23.2; pp. 284-297, 2021. doi.org/10.2166/hydro.2020.245

08-21 Prajakta P. Gadge, M. R. Bhajantri, V. V. Bhosekar, Numerical simulations of air entraining characteristics over high head chute spillway aerator, Proceedings, ICOLD Symposium on Sustainable Development of Dams and River Basins, New Dehli, India, February 24 – 27, 2021.

07-21 Pankaj Lawande, Computational fluid dynamics simulation methodologies for stilling basins, Proceedings, ICOLD Symposium on Sustainable Development of Dams and River Basins, New Dehli, India, February 24 – 27, 2021.

Below is a collection of technical papers in our Water & Environmental Bibliography. All of these papers feature FLOW-3D results. Learn more about how FLOW-3D can be used to successfully simulate applications for the Water & Environmental Industry.

02-21 Aytaç Güven, Ahmed Hussein Mahmood, Numerical investigation of flow characteristics over stepped spillways, Water Supply, in press, 2021. doi.org/10.2166/ws.2020.283

01-21 Le Thi Thu Hien, Nguyen Van Chien, Investigate impact force of dam-break flow against structures by both 2D and 3D numerical simulations, Water, 13.3; 344, 2021. doi.org/10.3390/w13030344

125-20 Farhad Bahmanpouri, Mohammad Daliri, Alireza Khoshkonesh, Masoud Montazeri Namin, Mariano Buccino, Bed compaction effect on dam break flow over erodible bed; experimental and numerical modeling, Journal of Hydrology, in press, 2020. doi.org/10.1016/j.jhydrol.2020.125645

200-23 Iacopo Vona, Oysters’ integration on submerged breakwaters as nature-based solution for coastal protection within estuarine environments, Thesis, University of Maryland, 2023.

174-23 Ahintha Kandamby, Dusty Myers, Narrows bypass chute CFD analysis, Dam Safety, 2023.

173-23 H. Jalili, R.C. Mahon, M.F. Martinez, J.W. Nicklow, Sediment sluicing from the reservoirs with high efficiency, SEDHYD, 2023.

170-23 Ramith Fernando, Gangfu Zhang, Beyond 2D: Unravelling bridge hydraulics with CFD modelling, 24th Queensland Water Symposium, 2023.

124-20 John Petrie, Yan Qi, Mark Cornwell, Md Al Adib Sarker, Pranesh Biswas, Sen Du, Xianming Shi, Design of living barriers to reduce the impacts of snowdrifts on Illinois freeways, Illinois Center for Transportation Series No. 20-019, Research Report No. FHWA-ICT-20-012, 2020. doi.org/10.36501/0197-9191/20-019

123-20 Mohammad Reza Namaee, Jueyi Sui, Yongsheng Wu, Natalie Linklater, Three-dimensional numerical simulation of local scour in the vicinity of circular side-by-side bridge piers with ice cover, Canadian Journal of Civil Engineering, 2020. doi.org/10.1139/cjce-2019-0360

119-20 Tuğçe Yıldırım, Experimental and numerical investigation of vortex formation at multiple horizontal intakes, Thesis, Middle East Technical University, Ankara, Turkey, , 2020.

118-20 Amir Ghaderi, Mehdi Dasineh, Francesco Aristodemo, Ali Ghahramanzadeh, Characteristics of free and submerged hydraulic jumps over different macroroughnesses, Journal of Hydroinformatics, 22.6; pp. 1554-1572, 2020. doi.org/10.2166/hydro.2020.298

117-20 Rasoul Daneshfaraz, Amir Ghaderi, Aliakbar Akhtari, Silvia Di Francesco, On the effect of block roughness in ogee spillways with flip buckets, Fluids, 5.4; 182, 2020. doi.org/10.3390/fluids5040182

115-20 Chi Yao, Ligong Wu, Jianhua Yang, Influences of tailings particle size on overtopping tailings dam failures, Mine Water and the Environment, 2020. doi.org/10.1007/s10230-020-00725-3

114-20 Rizgar Ahmed Karim, Jowhar Rasheed Mohammed, A comparison study between CFD analysis and PIV technique for velocity distribution over the Standard Ogee crested spillways, Heliyon, 6.10; e05165, 2020. doi.org/10.1016/j.heliyon.2020.e05165

113-20 Théo St. Pierre Ostrander, Analyzing hydraulics of broad crested lateral weirs, Thesis, University of Innsbruck, Innsbruck, Austria, 2020.

111-20 Mahla Tajari, Amir Ahmad Dehghani, Mehdi Meftah Halaghi, Hazi Azamathulla, Use of bottom slots and submerged vanes for controlling sediment upstream of duckbill weirs, Water Supply, 20.8; pp. 3393-3403, 2020. doi.org/10.2166/ws.2020.238

110-20 Jian Zhou, Subhas K. Venayagamoorthy, How does three-dimensional canopy geometry affect the front propagation of a gravity current?, Physics of Fluids, 32.9; 096605, 2020. doi.org/10.1063/5.0019760

106-20 Juan Francisco Macián-Pérez, Arnau Bayón, Rafael García-Bartual, P. Amparo López-Jiménez, Characterization of structural properties in high reynolds hydraulic jump based on CFD and physical modeling approaches, Journal of Hydraulic Engineering, 146.12, 2020. doi.org/10.1061/(ASCE)HY.1943-7900.0001820

105-20 Bin Deng, He Tao, Changbo Jian, Ke Qu, Numerical investigation on hydrodynamic characteristics of landslide-induced impulse waves in narrow river-valley reservoirs, IEEE Access, 8; pp. 165285-165297, 2020. doi.org/10.1109/ACCESS.2020.3022651

102-20 Mojtaba Mehraein, Mohammadamin Torabi, Yousef Sangsefidi, Bruce MacVicar, Numerical simulation of free flow through side orifice in a circular open-channel using response surface method, Flow Measurement and Instrumentation, 76; 101825, 2020. doi.org/10.1016/j.flowmeasinst.2020.101825

101-20 Juan Francisco Macián Pérez, Numerical and physical modelling approaches to the study of the hydraulic jump and its application in large-dam stilling basins, Thesis, Universitat Politècnica de València, Valencia, Spain, 2020.

99-20 Chen-Shan Kung, Pin-Tzu Su, Chin-Pin Ko, Pei-Yu Lee, Application of multiple intake heads in engineering field, Proceedings, 30th International Ocean and Polar Engineering Conference (ISOPE), Online, October 11-17, ISOPE-I-20-3116, 2020.

91-20 Selahattin Kocaman, Stefania Evangelista, Giacomo Viccione, Hasan Güzel, Experimental and numerical analysis of 3D dam-break waves in an enclosed domain with a single oriented obstacle, Environmental Science Proceedings, 2; 35, 2020. doi.org/10.3390/environsciproc2020002035

89-20 Andrea Franco, Jasper Moernaut, Barbara Schneider-Muntau, Michael Strasser, Bernhard Gems, The 1958 Lituya Bay tsunami – pre-event bathymetry reconstruction and 3D numerical modelling utilising the computational fluid dynamics software Flow-3D, Natural Hazards and Earth Systems Sciences, 20; pp. 2255–2279, 2020. doi.org/10.5194/nhess-20-2255-2020

88-20 Cesar Simon, Eddy J. Langendoen, Jorge D. Abad, Alejandro Mendoza, On the governing equations for horizontal and vertical coupling of one- and two-dimensional open channel flow models, Journal of Hydraulic Research, 58.5; pp. 709-724, 2020. doi.org/10.1080/00221686.2019.1671507

87-20 Mohammad Nazari-Sharabian, Moses Karakouzian, Donald Hayes, Flow topology in the confluence of an open channel with lateral drainage pipe, Hydrology, 7.3; 57, 2020. doi.org/10.3390/hydrology7030057

84-20 Naohiro Takeichi, Takeshi Katagiri, Harumi Yoneda, Shusaku Inoue, Yusuke Shintani, Virtual Reality approaches for evacuation simulation of various disasters, Collective Dynamics (originally presented in Proceedings from the 9th International Conference on Pedestrian and Evacuation Dynamics (PED2018), Lund, Sweden, August 21-23, 2018), 5, 2020. doi.org/10.17815/CD.2020.93

83-20 Eric Lemont, Jonathan Hill, Ryan Edison, A problematic installation: CFD modelling of waste stabilisation pond mixing alternatives, Ozwater’20, Australian Water Association, Online, June 2, 2020, 2020.

77-20 Peng Yu, Ruigeng Hu, Jinmu Yang, Hongjun Liu, Numerical investigation of local scour around USAF with different hydraulic conditions under currents and waves, Ocean Engineering, 213; 107696, 2020. doi.org/10.1016/j.oceaneng.2020.107696

76-20 Alireza Mojtahedi, Nasim Soori, Majid Mohammadian, Energy dissipation evaluation for stepped spillway using a fuzzy inference system, SN Applied Sciences, 2; 1466, 2020. doi.org/10.1007/s42452-020-03258-0

74-20 Jackson D., Tellez Alvarez E., Manuel Gómez, Beniamino Russo, Modelling of surcharge flow through grated inlet, Advances in Hydroinformatics: SimHydro 2019 – Models for Extreme Situations and Crisis Management, Nice, France, June 12-14, 2019, pp. 839-847, 2020. doi.org/10.1007/978-981-15-5436-0_65

73-20 Saurav Dulal, Bhola NS Ghimire, Santosh Bhattarai, Ram Krishna Regmi, Numerical simulation of flow through settling basin: A case study of Budhi-Ganga Hydropower Project (BHP), International Journal of Engineering Research & Technology (IJERT), 9.7; pp. 992-998, 2020.

70-20 B. Nandi, S. Das, A. Mazumdar, Experimental analysis and numerical simulation of hydraulic jump, IOP Conference Series: Earth and Environmental Science, 2020 6th International Conference on Environment and Renewable Energy, Hanoi, Vietnam, February 24-26, 505; 012024, 2020. doi.org/10.1088/1755-1315/505/1/012024

69-20 Amir Ghaderi, Rasoul Daneshfaraz, Mehdi Dasineh, Silvia Di Francesco, Energy dissipation and hydraulics of flow over trapezoidal–triangular labyrinth weirs, Water (Special Issue: Combined Numerical and Experimental Methodology for Fluid–Structure Interactions in Free Surface Flows), 12.7; 1992, 2020. doi.org/10.3390/w12071992

68-20 Jia Ni, Linwei Wang, Xixian Chen, Luan Luan Xue, Isam Shahrour, Effect of the fish-bone dam angle on the flow mechanisms of a fish-bone type dividing dyke, Marine Technology Society Journal, 54.3; pp. 58-67, 2020. doi.org/10.4031/MTSJ.54.3.9

67-20 Yu Zhuang, Yueping Yin, Aiguo Xing, Kaiping Jin, Combined numerical investigation of the Yigong rock slide-debris avalanche and subsequent dam-break flood propagation in Tibet, China, Landslides, 17; pp. 2217-2229, 2020. doi.org/10.1007/s10346-020-01449-9

66-20 A. Ghaderi, R. Daneshfaraz, S. Abbasi, J. Abraham, Numerical analysis of the hydraulic characteristics of modified labyrinth weirs, International Journal of Energy and Water Resources, 4.2, 2020. doi.org/10.1007/s42108-020-00082-5

65-20 D.P. Zielinski, S. Miehls, G. Burns, C. Coutant, Adult sea lamprey espond to induced turbulence in a low current system, Journal of Ecohydraulics, 5, 2020. doi.org/10.1080/24705357.2020.1775504

63-20 Raffaella Pellegrino, Miguel Ángel Toledo, Víctor Aragoncillo, Discharge flow rate for the initiation of jet flow in sky-jump spillways, Water, Special Issue: Planning and Management of Hydraulic Infrastructure, 12.6; 1814, 2020. doi.org/10.3390/w12061814

59-20 Nesreen Taha, Maged M. El-Feky, Atef A. El-Saiad, Ismail Fathy, Numerical investigation of scour characteristics downstream of blocked culverts, Alexandria Engineering Journal, 59.5; pp. 3503-3513, 2020. doi.org/10.1016/j.aej.2020.05.032

57-20 Charles Ortloff, The Hydraulic State: Science and Society in the Ancient World, Routledge, London, UK, eBook ISBN: 9781003015192, 2020. doi.org/10.4324/9781003015192

54-20 Navid Aghajani, Hojat Karami, Hamed Sarkardeh, Sayed‐Farhad Mousavi, Experimental and numerical investigation on effect of trash rack on flow properties at power intakes, Journal of Applied Mathematics and Mechanics (ZAMM), online pre-issue, 2020. doi.org/10.1002/zamm.202000017

53-20 Tian Zhou, Theodore Endreny, The straightening of a river meander leads to extensive losses in flow complexity and ecosystem services, Water (Special Issue: A Systems Approach of River and River Basin Restoration), 12.6; 1680, 2020. doi.org/10.3390/w12061680

47-20 Mohammad Nazari-Sharabian, Aliasghar Nazari-Sharabian, Moses Karakouzian, Mehrdad Karami, Sacrificial piles as scour countermeasures in river bridges: A numerical study using FLOW-3D, Civil Engineering Journal, 6.6; pp. 1091-1103, 2020. doi.org/10.28991/cej-2020-03091531

44-20 Leena Jaydeep Shevade, L. James Lo, Franco A. Montalto, Numerical 3D model development and validation of curb-cut inlet for efficiency prediction, Water, 12; 1791, 2020. doi.org/10.3390/w12061791

43-20 Vitor Hugo Pereira de Morais, Tiago Zenker Gireli, Paulo Vatavuk, Numerical and experimental models applied to an ogee crest spillway and roller bucket stilling basin, Brazilian Journal of Water Resources, 2020. doi.org/10.1590/2318-0331.252020190005

42-20 Chen Xie, Qin Chen, Gang Fan, Chen Chen, Numerical simulation of the natural erosion and breaching process of the “10.11” Baige Landslide Dam on the Jinsha River, Dam Breach Modelling and Risk Disposal, pp. 376-377, International Conference on Embankment Dams (ICED), Beijing, China, June 5 – 7, 2020. doi.org/10.1007/978-3-030-46351-9_40

41-20 Niloofar Aghili Mahabadi, Hamed Reza Zarif Sanayei, Performance evaluation of bilateral side slopes in piano key weirs by numerical simulation, Modeling Earth Systems and Environment, 6; pp. 1477-1486, 2020. doi.org/10.1007/s40808-020-00764-3

39-20 Jian Zhou, Subhas K. Venayagamoorthy, Impact of ambient stable stratification on gravity currents propagating over a submerged canopy, Journal of Fluid Mechanics, 898; A15, 2020. doi.org/10.1017/jfm.2020.418

37-20 Aliasghar Azma, Yongxiang Zhang, The effect of variations of flow from tributary channel on the flow behavior in a T-shape confluence, Processes, 8; 614, 2020. doi.org/10.3390/pr8050614

35-20 Selahattin Kocaman, Hasan Güzel, Stefania Evangelista, Hatice Ozmen-Cagatay, Giacomo Viccione, Experimental and numerical analysis of a dam-break flow through different contraction geometries of the channel, Water, 12; 1124, 2020. doi.org/10.3390/w12041124

31-20 Hamidreza Samma, Amir Khosrojerdi, Masoumeh Rostam-Abadi, Mojtaba Mehraein and Yovanni Cataño-Lopera, Numerical simulation of scour and flow field over movable bed induced by a submerged wall jet, Journal of Hydroinformatics, 22.2, pp. 385-401, 2020. doi.org/10.2166/hydro.2020.091

28-20 Halah Kais Jalal and Waqed H. Hassan, Three-dimensional numerical simulation of local scour around circular bridge pier using FLOW-3D software, IOP Conference Series: Materials Science and Engineering, art. no. 012150, 3rd International Conference on Engineering Sciences, Kerbala, Iraq, November 4-6, 2019745. doi.org/10.1088/1757-899X/745/1/012150

25-20 Faizal Yusuf and Zoran Micovic, Prototype-scale investigation of spillway cavitation damage and numerical modeling of mitigation options, Journal of Hydraulic Engineering, 146.2, 2020. doi.org/10.1061/(ASCE)HY.1943-7900.0001671

24-20 Huan Zhang, Zegao Yin, Yipei Miao, Minghui Xia and Yingnan Feng, Hydrodynamic performance investigation on an upper and lower water exchange device, Aquacultural Engineering, 90, art. no. 102072, 2020. doi.org/10.1016/j.aquaeng.2020.102072

22-20 Yu-xiang Hu, Zhi-you Yu and Jian-wen Zhou, Numerical simulation of landslide-generated waves during the 11 October 2018 Baige landslide at the Jinsha River, Landslides, 2020. doi.org/10.1007/s10346-020-01382-x

19-20 Amir Ghaderi, Mehdi Dasineh, Saeed Abbasi and John Abraham, Investigation of trapezoidal sharp-crested side weir discharge coefficients under subcritical flow regimes using CFD, Applied Water Science, 10, art. no. 31, 2020. doi.org/10.1007/s13201-019-1112-8

18-20 Amir Ghaderi, Saeed Abbasi, John Abraham and Hazi Mohammad Azamathulla, Efficiency of trapezoidal labyrinth shaped stepped spillways, Flow Measurement and Instrumentation, 72, art. no. 101711, 2020. doi.org/10.1016/j.flowmeasinst.2020.101711

16-20 Majid Omidi Arjenaki and Hamed Reza Zarif Sanayei, Numerical investigation of energy dissipation rate in stepped spillways with lateral slopes using experimental model development approach, Modeling Earth Systems and Environment, 2020. doi.org/10.1007/s40808-020-00714-z

15-20 Bo Wang, Wenjun Liu, Wei Wang, Jianmin Zhang, Yunliang Chen, Yong Peng, Xin Liu and Sha Yang, Experimental and numerical investigations of similarity for dam-break flows on wet bed, Journal of Hydrology, 583, art. no. 124598, 2020. doi.org/10.1016/j.jhydrol.2020.124598

14-20 Halah Kais Jalal and Waqed H. Hassan, Effect of bridge pier shape on depth of scour, IOP Conference Series: Materials Science and Engineering, art. no. 012001, 3rd International Conference on Engineering Sciences, Kerbala, Iraq, November 4-6, 2019671. doi.org/10.1088/1757-899X/671/1/012001

13-20 Shahad R. Mohammed, Basim K. Nile and Waqed H. Hassan, Modelling stilling basins for sewage networks, IOP Conference Series: Materials Science and Engineering, art. no. 012111, 3rd International Conference on Engineering Sciences, Kerbala, Iraq, November 4-6, 2019671. doi.org/10.1088/1757-899X/671/1/012111

11-20 Xin Li, Liping Jin, Bernie A. Engel, Zeng Wang, Wene Wang, Wuquan He and Yubao Wang, Influence of the structure of cylindrical mobile flumes on hydraulic performance characteristics in U-shaped channels, Flow Measurement and Instrumentation, 72, art. no. 101708, 2020. doi.org/10.1016/j.flowmeasinst.2020.101708

10-20 Nima Aein, Mohsen Najarchi, Seyyed Mohammad Mirhosseini Hezaveh, Mohammad Mehdi Najafizadeh and Ehsanollah Zeigham, Simulation and prediction of discharge coefficient of combined weir–gate structure, Proceedings of the Institution of Civil Engineers – Water Management (ahead of print), 2020. doi.org/10.1680/jwama.19.00047

03-20 Agostino Lauria, Francesco Calomino, Giancarlo Alfonsi, and Antonino D’Ippolito, Discharge coefficients for sluice gates set in weirs at different upstream wall inclinations, Water, 12, art. no. 245, 2020. doi.org/10.3390/w12010245

113-19 Ruidong An, Jia Li, Typical biological behavior of migration and flow pattern creating for fish schooling, E-Proceedings, 38th IAHR World Congress, Panama City, Panama, September 1-6, 2019.

112-19 Wenjun Liu, Bo Wang, Hang Wang, Jianmin Zhang, Yunliang Chen, Yong Peng, Xin Liu, Sha Yang, Experimental and numerical modeling of dam-break flows in wet downstream conditions, E-Proceedings, 38th IAHR World Congress, Panama City, Panama, September 1-6, 2019.

111-19 Zhang Chendi, Liu Yingjun, Xu Mengzhen, Wang Zhaoyin, The 3D numerical study on flow properties of individual step-pool, Proceedings: 14th International Symposium on River Sedimentation, Chengdu, China, September 16-19, 2019.

110-19 Mason Garfield, The effects of scour on the flow field at a bendway weir, Thesis: Colorado State University, Fort Collins, Colorado, Colorado State University, Fort Collins, Colorado.

109-19 Seth Siefken, Computational fluid dynamics models of Rio Grande bends fitted with rock vanes or bendway weirs, Thesis: Colorado State University, Fort Collins, Colorado, Colorado State University, Fort Collins, Colorado.

108-19 Benjamin Israel Devadason and Paul Schweiger, Decoding the drowning machines: Using CFD modeling to predict and design solutions to remediate the dangerous hydraulic roller at low head dams, The Journal of Dam Safety, 17.1, pp. 20-31, 2019.

106-19 Amir Ghaderi and Saeed Abbasi, CFD simulations of local scouring around airfoil-shaped bridge piers with and without collar, Sādhanā, art. no. 216, 2019. doi.org/10.1007/s12046-019-1196-8

105-19 Jacob van Alwon, Numerical and physical modelling of aerated skimming flows over stepped spillways, Thesis, University of Leeds, Leeds, United Kingdom, 2019.

100-19 E.H. Hussein Al-Qadami, A.S. Abdurrasheed, Z. Mustaffa, K.W. Yusof, M.A. Malek and A. Ab Ghani, Numerical modelling of flow characteristics over sharp crested triangular hump, Results in Engineering, 4, art. no. 100052, 2019. doi.org/10.1016/j.rineng.2019.100052

99-19 Agostino Lauria, Francesco Calomino, Giancarlo Alfonsi, and Antonino D’Ippolito, Discharge coefficients for sluice gates set in weirs at different upstream wall inclinations, Water, 12.1, art. no. 245, 2019. doi.org/10.3390/w12010245

98-19 Redvan Ghasemlounia and M. Sedat Kabdasli, Surface suspended sediment distribution pattern for an unexpected flood event at Lake Koycegiz, Turkey, Proceedings, 14th National Conference on Watershed Management Sciences and Engineering, Urmia, Iran, July 16-17, 2019.

97-19 Brian Fox, Best practices for simulating hydraulic structures with CFD, Proceedings, Dam Safety 2019, Orlando, Florida, USA, September 8-12, 2019.

96-19 John Wendelbo, Verification of CFD predictions of self-aeration onset on stepped chute spillways, Proceedings, Dam Safety 2019, Orlando, Florida, USA, September 8-12, 2019.

95-19 Pankaj Lawande, Anurag Chandorkar and Adhirath Mane, Predicting discharge rating curves for tainter gate controlled spillway using CFD simulations, Proceedings, 24th HYDRO 2019, International Conference, Hyderabad, India, December 18-20, 2019.

91-19 Gyeong-Bo Kim, Wei Cheng, Richards C. Sunny, Juan J. Horrillo, Brian C. McFall, Fahad Mohammed, Hermann M. Fritz, James Beget, and Zygmunt Kowalik , Three Dimensional Landslide Generated Tsunamis: Numerical and Physical Model Comparisons, Landslides, 2019. doi.org/10.1007/s10346-019-01308-2

85-19 Susana D. Amaral, Ana L. Quaresma, Paulo Branco, Filipe Romão, Christos Katopodis, Maria T. Ferreira, António N. Pinheiro, and José M. Santos, Assessment of retrofitted ramped weirs to improve passage of potamodromous fish, Water, 11, art. no. 2441, 2019. doi.org/10.3390/w11122441

82-19 Shubing Dai, Yong He, Jijian Yang, Yulei ma, Sheng Jin, and Chao Liang, Numerical study of cascading dam-break characteristics using SWEs and RANS, Water Supply, 2019. doi.org/10.2166/ws.2019.168

81-19 Kyong Oh Baek, Evaluation technique for efficiency of fishway based on hydraulic analysis, Journal of Korea Water Resources Association, 52.spc2, pp. 855-863, 2019. doi.org/10.3741/JKWRA.2019.52.S-2.855

80-19 Yongye Li, Yuan Gao, Xiaomeng Jia, Xihuan Sun, and Xuelan Zhang, Numerical simulations of hydraulic characteristics of a flow discharge measurement process with a plate flowmeter in a U-channel, Water, art. no. 2392, 2019. doi.org/10.3390/w11112382

76-19 Youtong Rong, Ting Zhang, Yanchen Zheng, Chunqi Hu, Ling Peng, and Ping Feng, Three-dimensional urban flood inundation simulation based on digital aerial photogrammetry, Journal of Hydrology, in press, 2019. doi.org/10.1016/j.jhydrol.2019.124308

74-19 Youtong Rong, Ting Zhang, Ling Peng, and Ping Feng, Three-dimensional numerical simulation of dam discharge and flood routing in Wudu Reservoir, Water, 11, art. no. 2157, 2019. doi.org/10.3390/w11102157

70-19 Le Thi Thu Hien, Study the flow over chute spillway by both numerical and physical models, Proceedings, pp. 845-851, 10th International Conference on Asian and Pacific Coasts (APAC 2019), Hanoi, Vietnam, September 25-28, 2019. doi.org/10.1007/978-981-15-0291-0_116

69-19 T. Vinh Cuong, N. Thanh Hung, V. Thanh Te, P. Anh Tuan, Analysis of spur dikes spatial layout to river bed degradation under reversing tidal flow, Proceedings, pp. 737-744, 10th International Conference on Asian and Pacific Coasts (APAC 2019), Hanoi, Vietnam, September 25-28, 2019. doi.org/10.1007/978-981-15-0291-0_101

67-19 Zongshi Dong, Junxing Wang, David Florian Vetsch, Robert Michael Boes, and Guangming Tan, Numerical simulation of air–water two-phase flow on stepped spillways behind X-shaped flaring gate piers under very high unit discharge, Water, 11, art. no. 1956, 2019. doi.org/10.3390/w11101956

66-19 Tony L. Wahl, Effect of boundary layer conditions on uplift pressures at open offset spillway joints, Sustainable and Safe Dams Around the World: Proceedings, 2019. doi.org/10.1201/9780429319778-182

65-19 John Petrie, Kun Zhang, and Mahmoud Shehata, Numerical simulation of snow deposition around living snow fences, Community Center for Environmentally Sustainable Transportation in Cold Climates (CESTiCC), Project Report, 2019.

64-19 Andrea Franco, Jasper Moernaut, Barbara Schneider-Muntau, Markus Aufleger, Michael Strasser, and Bernhard Gems, Lituya Bay 1958 Tsunami – detailed pre-event bathymetry reconstruction and 3D-numerical modelling utilizing the CFD software FLOW-3D, Natural Hazards and Earth Systems Sciences, under review, 2019. doi.org/10.5194/nhess-2019-285

63-19 J. Patarroyo, D. Damov, D. Shepherd, G. Snyder, M. Tremblay, and M. Villeneuve, Hydraulic design of stepped spillway using CFD supported by physical modelling: Muskrat Falls hydroelectric generating facility, Sustainable and Safe Dams Around the World: Proceedings, , pp. 205-219, 2019. doi.org/10.1201/9780429319778-19

61-19 A.S. Abdurrasheed, K.W. Yusof, E.H. Hussein Alqadami, H. Takaijudin, A.A. Ghani, M.M. Muhammad, A.T. Sholagberu, M.K. Zainalfikry, M. Osman, and M.S. Patel, Modelling of flow parameters through subsurface drainage modules for application in BIOECODS, Water, 11, art. no. 1823, 2019. doi.org/10.3390/w11091823

59-19 Brian Fox and Robert Feurich, CFD analysis of local scour at bridge piers, Proceedings of the Federal Interagency Sedimentation and Hydraulic Modeling Conference (SEDHYD), Reno, Nevada, June 24-28, 2019.

56-19 Pankaj Lawande, Brian Fox, and Anurag Chandorkar, Three dimensional CFD modeling of flow over a tainter gate spillway, International Dam Safety Conference, Bhubaneswar, Odisha, India, February 13-14, 2019.

49-19 Yousef Sangsefidi, Bruce MacVicar, Masoud Ghodsian, Mojtaba Mehraein, Mohammadamin Torabi, and Bruce M. Savage, Evaluation of flow characteristics in labyrinth weirs using response surface methodology, Flow Measurement and Instrumentation, Vol. 69, 2019. doi: 10.1016/j.flowmeasinst.2019.101617

43-19 Gongyun Liao, Zancheng Tang, and Fei Zhu, Self-cleaning performance of double-layer porous asphalt pavements with different granular diameters and layer combinations, 19th COTA International Conference of Transportation, Nanjing, China, July 6-8, 2019.

42-19 Tsung-Chun Ho, Gwo-Jang Hwang, Kao-Shu Hwang, Kuo-Cheng Hsieh, and Lung-Wei Chen, Experimental and numerical study on desilting efficiency of the bypassing tunnel for Nan-Hua reservoir, 3rd International Workshop on Sediment Bypass Tunnels, Taipei, Taiwan, April 9-12, 2019.

41-19 Chang-Ting Hsieh, Sheng-Yung Hsu, and Chin-Pin Ko, Planning of sluicing tunnel in front of the Wushe dam – retrofit the existing water diversion tunnel as an example, 3rd International Workshop on Sediment Bypass Tunnels, Taipei, Taiwan, April 9-12, 2019.

40-19 Chi-Lin Yang, Pang-ku Yang, Fu-June Wang, and Kuo-Cheng Hsieh, Study on the transportation of high-concentration sediment flow and the operation of sediment de-silting in Deji Reservoir, 3rd International Workshop on Sediment Bypass Tunnels, Taipei, Taiwan, April 9-12, 2019.

39-19 Sam Glovik and John Wendelbo, Advanced CFD air entrainment capabilities for baffle drop structure design, NYWEA 91st Annual Meeting, New York, NY, February 3-6, 2019.

36-19 Ahmed M. Helmi, Heba T. Essawy, and Ahmed Wagdy, Three-dimensional numerical study of stacked drop manholes, Journal of Irrigation and Drainage Engineering, Vol. 145, No. 9, 2019. doi: 10.1061/(ASCE)IR.1943-4774.0001414

33-19 M. Cihan Aydin, A. Emre Ulu, and Çimen Karaduman, Investigation of aeration performance of Ilısu Dam outlet using two-phase flow model, Applied Water Science, Vol. 9, No. 111, 2019. doi: 10.1007/s13201-019-0982-0

16-19 Bernard Twaróg, The analysis of the reactive work of the Alden Turbine, Technical Transactions I, Environmental Engineering, 2019. doi: 10.4467/2353737XCT.19.010.10050

14-19 Guodong Li, Xingnan Li, Jian Ning, and Yabing Deng, Numerical simulation and engineering application of a dovetail-shaped bucket, Water, Vol. 11, No. 2, 2019. doi: 10.3390/w11020242

13-19 Ilaria Rendina, Giacomo Viccione, and Leonardo Cascini, Kinematics of flow mass movements on inclined surfaces, Theoretical and Computational Fluid Dynamics, Vol. 33, No. 2, pp. 107-123, 2019. doi: 10.1007/s00162-019-00486-y

10-19 O.K. Saleh, E.A. Elnikhely, and Fathy Ismail, Minimizing the hydraulic side effects of weirs construction by using labyrinth weirs, Flow Measurement and Instrumentation, Vol. 66, pp. 1-11, 2019. doi: 10.1016/j.flowmeasinst.2019.01.016

05-19 Hakan Ersoy, Murat Karahan, Kenan Gelişli, Aykut Akgün, Tuğçe Anılan, M. Oğuz Sünnetci, Bilgehan Kul Yahşi, Modelling of the landslide-induced impulse waves in the Artvin Dam reservoir by empirical approach and 3D numerical simulation, Engineering Geology, Vol. 249, pp. 112-128, 2019. doi: 10.1016/j.enggeo.2018.12.025

96-18 Kyung-Seop Sin, Robert Ettema, Christopher I. Thornton, Numerical modeling to assess the influence of bendway weirs on flow distribution in river beds, Task 4 of Study: Native Channel Topography and Rock-Weir Structure Channel-Maintenance Techniques, U.S. Dept. of the Interior. CSU-HYD Report No. 2018-1, 2018.

95-18 Thulfikar Razzak Al-Husseini, Hayder A. Al-Yousify and Munaf A. Al-Ramahee, Experimental and numerical study of the effect of the downstream spillway face’s angle on the stilling basin’s energy dissipation, International Journal of Civil Engineering and Technology, 9.8, pp. 1327-1337, 2018.

94-18 J. Michalski and J. Wendelbo, Utilizing CFD methods as a forensic tool in pipeline systems to assess air/water transient issues, Proceedings, 7, pp. 5519-5527, 91st Water Environment Federation Technical Exhibition & Conference (WEFTEC), New Orleans, LA, United States, September 29 – October 3, 2018. doi.org/10.2175/193864718825138817

79-18 Harold Alvarez and John Wendelbo, Estudio de 3 modelos matemáticos para similar olas producidas por derrumbes en embalses y esfuerzos en compuertas, XXVIII Congreso Latinoamericano de Hidráulica, Buenos Aires, Argentina, September 2018. (In Spanish)

70-18 Michael Pfister, Gaetano Crispino, Thierry Fuchsmann, Jean-Marc Ribi and Corrado Gisonni, Multiple inflow branches at supercritical-type vortex drop shaft, Journal of Hydraulic Engineering, Vol. 144, No. 11, 2018. doi.org/10.1061/(ASCE)HY.1943-7900.0001530

67-18 F. Nunes, J. Matos and I. Meireles, Numerical modelling of skimming flow over small converging spillways, 3^rd International Conference on Protection against Overtopping, June 6-8, 2018, Grange-over-Sands, UK, 2018.

66-18 Maria João Costa, Maria Teresa Ferreira, António N. Pinheiro and Isabel Boavida, The potential of lateral refuges for Iberian barbel under simulated hydropeaking conditions, Ecological Engineering, Vol. 124, 2018. doi.org/10.1016/j.ecoleng.2018.07.029

63-18 Michael J. Seluga, Frederick Vincent, Samuel Glovick and Brad Murray, A new approach to hydraulics in baffle drop shafts to address dry and wet weather flow in combined sewer tunnels, North American Tunneling Conference Proceedings, June 24-27, 2018, Washington, D.C. pp. 448-461, 2018. © Society for Mining, Metallurgy & Exploration

62-18 Ana Quaresma, Filipe Romão, Paulo Branco, Maria Teresa Ferreira and António N. Pinheiro, Multi slot versus single slot pool-type fishways: A modelling approach to compare hydrodynamics, Ecological Engineering, Vol. 122, pp. 197-206, 2018. doi.org/10.1016/j.ecoleng.2018.08.006

57-18 Amir Isfahani, CFD modeling of piano key weirs using FLOW-3D, International Dam Safety Conference, January 23-24, 2018, Thiruvananthapuram, Kerala, India; Technical Session 1A, Uncertainties and Risk Management in Dams, 2018.

49-18 Jessica M. Thompson, Jon M. Hathaway and John S. Schwartz, Three-dimensional modeling of the hydraulic function and channel stability of regenerative stormwater conveyances, Journal of Sustainable Water in the Built Environment, vol. 4, no.3, 2018. doi.org/10.1061/JSWBAY.0000861

46-18 A.B. Veksler and S.Z. Safin, Hydraulic regimes and downstream scour at the Kama Hydropower Plant, Power Technology and Engineering, vol. 51, no. 5, pp. 2-13, 2018. doi.org/10.1007/s10749-018-0862-z

45-18 H. Omara and A. Tawfik, Numerical study of local scour around bridge piers, 9^th Annual Conference on Environmental Science and Development, Paris, France, Feb. 7-9, 2018; IOP Conference Series: Earth and Environmental Sciences, vol. 151, 2018. doi.org:10.1088/1755-1315/151/1/012013

40-18 Vincent Libaud, Christophe Daux and Yanis Oukid, Practical Capacities and Challenges of 3D CFD Modelling: Feedback Experience in Engineering Projects, Advances in Hydroinformatics, pp. 767-780, 2018. doi.org/10.1007/978-981-10-7218-5_55

39-18 Khosro Morovati and Afshin Eghbalzadeh, Study of inception point, void fraction and pressure over pooled stepped spillways using FLOW-3D, International Journal of Numerical Methods for Heat & Fluid Flow, vol. 28, no. 4, pp.982-998, 2018. doi.org/10.1108/HFF-03-2017-0112

34-18 Tomasz Siuta, The impact of deepening the stilling basin on the characteristics of hydraulic jump, Technical Transactions, vol. 3, pp. 173-186, 2018.

32-18 Azin Movahedi, M.R. Kavianpour, M. R and Omid Aminoroayaie Yamini, Evaluation and modeling scouring and sedimentation around downstream of large dams, Environmental Earth Sciences, vol. 77, no. 8, pp. 320, 2018. doi.org/10.1007/s12665-018-7487-2

31-18 Yang Song, Ling-Lei Zhang, Jia Li, Min Chen and Yao-Wen Zhang, Mechanism of the influence of hydrodynamics on Microcystis aeruginosa, a dominant bloom species in reservoirs, Science of The Total Environment, vol. 636, pp. 230-239, 2018. doi.org/10.1016/j.scitotenv.2018.04.257

30-18 Shaolin Yang, Wanli Yang, Shunquan Qin, Qiao Li and Bing Yang, Numerical study on characteristics of dam-break wave, Ocean Engineering, vol. 159, pp.358-371, 2018. doi.org/10.1016/j.oceaneng.2018.04.011

27-18 Rachel E. Chisolm and Daene C. McKinney, Dynamics of avalanche-generated impulse waves: three-dimensional hydrodynamic simulations and sensitivity analysis, Natural Hazards and Earth System Sciences, vol. 18, pp. 1373-1393, 2018. doi.org/10.5194/nhess-18-1373-2018.

24-18 Han Hu, Zhongdong Qian, Wei Yang, Dongmei Hou and Lan Du, Numerical study of characteristics and discharge capacity of piano key weirs, Flow Measurement and Instrumentation, vol. 62, pp. 27-32, 2018. doi.org/10.1016/j.flowmeasinst.2018.05.004

23-18 Manoochehr Fathi-Moghaddam, Mohammad Tavakol Sadrabadi and Mostafa Rahmanshahi, Numerical simulation of the hydraulic performance of triangular and trapezoidal gabion weirs in free flow condition, Flow Measurement and Instrumentation, vol. 62, pp. 93-104, 2018. doi.org/10.1016/j.flowmeasinst.2018.05.005

22-18 Anastasios I.Stamou, Georgios Mitsopoulos, Peter Rutschmann and Minh Duc Bui, Verification of a 3D CFD model for vertical slot fish-passes, Environmental Fluid Mechanics, June 2018. doi.org/10.1007/s10652-018-9602-z

17-18 Nikou Jalayeri, John Wendelbo, Joe Groeneveld, Andrew John Bearlin, and John Gulliver, Boundary dam total dissolved gas analysis using a CFD model, Proceedings from the U.S. Society on Dams Annual Conference, April 30 – May 4, 2018, © 2018 U.S. Society on Dams.

12-18 Bernard Twaróg, Interaction between hydraulic conditions and structures – fluid structure interaction problem solving. A case study of a hydraulic structure, Technical Transactions 2/2018, Environmental Engineering, DOI: 10.4467/2353737XCT.18.029.8002

06-18 Oscar Herrera-Granados, Turbulence Flow Modeling of One-Sharp-Groyne Field, © Springer International Publishing AG 2018, M. B. Kalinowska et al. (eds.), Free Surface Flows and Transport Processes, GeoPlanet: Earth and Planetary Sciences, https://doi.org/10.1007/978-3-319-70914-7_12

05-18 Shangtuo Qian, Jianhua Wu, Yu Zhou and Fei Ma, Discussion of “Hydraulic Performance of an Embankment Weir with Rough Crest” by Stefan Felder and Nushan Islam, J. Hydraul. Eng., 2018, 144(4): 07018003, © ASCE.

04-18 Faezeh Tajabadi, Ehsan Jabbari and Hamed Sarkardeh, Effect of the end sill angle on the hydrodynamic parameters of a stilling basin, DOI 10.1140/epjp/i2018-11837-y, Eur. Phys. J. Plus (2018) 133: 10

03-18 Dhemi Harlan, Dantje K. Natakusumah, Mohammad Bagus Adityawan, Hernawan Mahfudz and Fitra Adinata, 3D Numerical Modeling of Flow in Sedimentation Basin, MATEC Web of Conferences 147, 03012 (2018), https://doi.org/10.1051/matecconf/201814703012 SIBE 2017

02-18 ARKAN IBRAHIM, AZHEEN KARIM and Mustafa GÜNAL, Simulation of local scour development downstream of broad-crested weir with inclined apron, European Journal of Science and Technology Special Issue, pp. 57-61, January 2018, Copyright © 2017 EJOSAT.

62-17 Abbas Mansoori, Shadi Erfanian and Farhad Khamchin Moghadam, A study of the conditions of energy dissipation in stepped spillways with A-shaped step using FLOW-3D, Civil Engineering Journal, 3.10, 2017.

57-17 Ben Modra, Brett Miller, Nigel Moon and Andrew Berghuis, Physical model testing of a bespoke articulated concrete block (ACB) fishway, 13th Hydraulics in Water Engineering Conference, Sydney, Nov. 13-18, 2017; Engineers Australia, pp. 301-309, 2017.

53-17 C. Gonzalez, U. Baeumer and C. Russell, Natural disaster relief and recovery arrangements Fitzroy project, bridge scour remediation, 13th Hydraulics in Water Engineering Conference, Sydney. Nov. 13-18, 2017; Engineers Australia, pp. 274-281, 2017.

52-17 Nigel Moon, Russell Merz, Sarah Luu and Daley Clohan, Utilising CFD modelling to conceptualise a novel rock ramp fishway design, 13th Hydraulics in Water Engineering Conference, Sydney, Nov. 13-18, 2017; Engineers Australia, pp. 382-389, 2017.

50-17 B.M. Crookston, R.M. Anderson and B.P. Tullis, Free-flow discharge estimation method for Piano Key weir geometries, Journal of Hydro-environment Research (2017), http://dx.doi.org/10.1016/j.jher.2017.10.003.

46-17 Michael Sturn, Bernhard Gems, Markus Aufleger, Bruno Mazzorana, Maria Papathoma-Köhle and Sven Fuchs, Scale Model Measurements of Impact Forces on Obstacles Induced by Bed-load Transport Processes, Proceedings of the 37th IAHR World Congress August 13 – 18, 2017, Kuala Lumpur, Malaysia.

43-17 Paula Beceiro, Maria do Céu Almeida and Jorge Matos, Numerical modelling of air-water flows in sewer drops, Available Online 28 April 2017, wst2017246; DOI: 10.2166/wst.2017.246

42-17 Arnau Bayon, Juan Pablo Toro, Fabián A.Bombardelli, Jorge Matose and Petra Amparo López-Jiménez, Influence of VOF technique, turbulence model and discretization scheme on the numerical simulation of the non-aerated, skimming flow in stepped spillways, Journal of Hydro-environment Research, Available online 26 October 2017

40-17 Sturm M, Gems B, Mazzorana B, Gabl R and Aufleger M, Validation of physical and 3D numerical modelling of hydrodynamic flow impacts on objects (Validierung experimenteller und 3-D-numerischer Untersuchungen zur Einwirkung hydrodynamischer Fließprozesse auf Objekte), Bozen-Bolzano Institutional Archive (BIA), ISSN: 0043-0978, https://bia.unibz.it/handle/10863/3893, 2017

38-17 Tsung-Hsien Huang, Chyan-Deng Jan, and Yu-Chao Hsu, Numerical Simulations of Water Surface Profiles and Vortex Structure in a Vortex Settling Basin by using FLOW-3D, Journal of Marine Science and Technology, Vol. 25, No. 5, pp. 531-542 (2017) 531, DOI: 10.6119/JMST-017-0509-1

36-17 Jacob van Alwon, Duncan Borman and Andrew Sleigh, Numerical Modelling of Aerated Flows Over Stepped Spillways, 37th IAHR World Congress, 2017.

35-17 Abolfazl Nazari Giglou, John Alex Mccorquodale and Luca Solari, Numerical study on the effect of the spur dikes on sedimentation pattern, Ain Shams Engineering Journal, Available online 8 March 2017.

33-17 Giovanni De Cesare, Khalid Essyad, Paloma Furlan, Vu Nam Khuong, Sean Mulligan, Experimental study at prototype scale of a self-priming free surface siphon, Congrès SHF : SIMHYDRO 2017, Nice, 14-16 June

32-17 Kathryn Plymesser and Joel Cahoon, Pressure gradients in a steeppass fishway using a computational fluid dynamics model, Ecological Engineering 108 (2017) 277–283.

31-17 M. Ghasemi, S. Soltani-Gerdefaramarzi, The Scour Bridge Simulation around a Cylindrical Pier Using FLOW-3D, Journal of Hydrosciences and Environment 1(2): 2017 46-54

27-17 John Wendelbo and Brian Fox, CFD modeling of Piano Key weirs: validation and numerical parameter space analysis, 2017 Dam Safety, San Antonio, September 10-14, 2017, Copyright © 2017 Association of State Dam Safety Officials, Inc. All Rights Reserved.

26-17 Brian Fox and John Wendelbo, Numerical modeling of Piano Key Weirs using FLOW-3D, USSD Annual Conference, Anaheim, CA, April 3- 7, 2017

25-17 Rasoul Daneshfaraz, Sina Sadeghfam and Ali Ghahramanzadeh, Three-dimensional Numerical Investigation of Flow through Screens as Energy Dissipators, Canadian Journal of Civil Engineering, https://doi.org/10.1139/cjce-2017-0273

23-17 J.M, Duguay, R.W.J. Lacey and J. Gaucher, A case study of a pool and weir fishway modeled with OpenFOAM and FLOW-3D, Ecological Engineering, Volume 103, Part A, June 2017, Pages 31-42

22-17 Hanif Pourshahbaz, Saeed Abbasi and Poorya Taghvaei, Numerical scour modeling around parallel spur dikes in FLOW-3D, https://doi.org/10.5194/dwes-2017-21, Drinking Water Engineering and Science, © Author(s) 2017

21-17 Hamid Mirzaei, Zohreh Heydari and Majid Fazli, The effect of meshing and comparing different models of turbulence in topographic prediction of bed and amplitude of flow around the groin in 90-degree arc with movable bed, Modeling Earth Systems and Environment, pp 1–16, July 2017

13-17 Lan Qi, Hui Chen, Xiao Wang, Wencai Fei and Donghai Liu, Establishment and application of three-dimensional realistic river terrain in the numerical modeling of flow over spillways, Water Science & Technology: Water Supply | in press | 2017.

11-17 Allison, M.A., Yuill, B.T., Meselhe, E.A., Marsh, J.K., Kolker, A.S., Ameen, A.D., Observational and numerical particle tracking to examine sediment dynamics in a Mississippi River delta diversion, Estuarine, Coastal and Shelf Science (2017), doi: 10.1016/j.ecss.2017.06.004.

09-17 Hamid Mirzaei, Zohreh Heydari and Majid Fazli, The effect of meshing and comparing different turbulence models in predicting the topography of bed and flow field in the 90 degree bend with moving bed, M. Model. Earth Syst. Environ. (2017). doi:10.1007/s40808-017-0336-6

03-17 Luis G. Castillo and José M. Carrillo, Comparison of methods to estimate the scour downstream of a ski jump, Civil Engineering Department, Universidad Politécnica de Cartagena, UPCT Paseo Alfonso XIII, 52 – 30203 Cartagena, Spain, International Journal of Multiphase Flow 92 (2017) 171–180.

103-16 Daniel Valero and Rafael Garcia-Bartual, Calibration of an Air Entrainment Model for CFD Spillway Applications, Advances in Hydroinformatics, P. Gourbesville et al. (eds), pp. 571-582, 2016. doi.org/10.1007/978-981-287-615-7_38

97-16 M. Taghavi and H. Ghodousi, A Comparison on Discharge Coefficients of Side and Normal Weirs with Suspended Flow Load using FLOW-3D, Indian Journal of Science and Technology, Vol 9(3), doi.org/10.17485/ijst/2016/v9i3/78537, January 2016.

96-16 Luis G. Castillo and José M. Carrillo, Scour, Velocities and Pressures Evaluations Produced by Spillway and Outlets of Dam, Water 2016, 8(3), 68; doi.org/10.3390/w8030068.

95-16 Majid Heydari and Alireza KhoshKonesh, The Comparison of the Performance of Prandtl Mixing Length, Turbulence Kinetic Energy, K-e, RNG and LES Turbulence Models in Simulation of the Positive Wave Motion Caused by Dam Break on the Erodible Bed, Indian Journal of Science and Technology, Vol 9(7), 2016. doi.org/10.17485/ijst/2016/v9i7/87856

93-16 Saleh I. Khassaf, Ali N. Attiyah and Hayder A. Al-Yousify, Experimental investigation of compound side weir with modeling using computational fluid dynamic, International Journal of Energy and Environment, Volume 7, Issue 2, 2016 pp.169-178

92-16 Jason Duguay and Jay Lacey, Modeling: OpenFOAM CFD Modeling Case Study of a Pool and Weir Fishway with Implications for Free-Surface Flows, International Conference on Engineering and Ecohydrology for Fish Passage 2016

90-16 Giacomo Viccione, Vittorio Bovolin and Eugenio Pugliese Carratelli, A numerical investigation of liquid impact on planar surfaces, ECCOMAS Congress 2016 VII European Congress on Computational Methods in Applied Sciences and Engineering, Greece, June 2016.

89-16 Giacomo Viccione, A numerical investigation of flow dynamics over a trapezoidal smooth open channel, ECCOMAS Congress 2016 VII European Congress on Computational Methods in Applied Sciences and Engineering, Greece, June 2016.

87-16 Jian Zhou and Subhas K. Venayagamoorthy, Numerical simulations of intrusive gravity currents interacting with a bottom-mounted obstacle in a continuously stratified ambient, Environmental Fluid Mechanics, 17; 191–209, 2016. doi: 10.1007/s10652-016-9454-3

86-16 Charles R. Ortloff, Similitude in Archaeology: Examining Agricultural System Science in PreColumbian Civilizations of Ancient Peru and Bolivia, Hydrol Current Res 7:259. doi: 10.4172/2157-7587.1000259, October 2016.

85-16 Charles R. Ortloff, New Discoveries and Perspectives on Water Management at 300 Bc – Ad 1100 Tiwanaku’s Urban Center (Bolivia), MOJ Civil Eng 1(3): 00014. DOI: 10.15406/mojce.2016.01.00014.

82-16 S. Paudel and N. Saenger, Grid refinement study for three dimensional CFD model involving incompressible free surface flow and rotating object, Computers & Fluids, Volume 143, http://dx.doi.org/10.1016/j.compfluid.2016.10.025, 17 January 2017, Pages 134–140

77-16 José A. Vásquez, Daniel M. Robb, MODELACIÓN CFD DE ROTURA DE PRESAS EN PRESENCIA DE OBSTÁCULOS, XXVII CONGRESO LATINOAMERICANO DE HIDRÁULICA, LIMA, PERÚ, 28 AL 30 DE SETIEMBRE DE 2016.

76-16 José A. Vásquez and Guilherme de Lima, MODELACIÓN CFD DE ONDAS TSUNAMI EN RESERVORIOS, LAGOS Y MINAS CAUSADAS POR DESLIZAMIENTOS DE LADERAS, XXVII CONGRESO LATINOAMERICANO DE HIDRÁULICA, LIMA, PERÚ, 28 AL 30 DE SETIEMBRE DE 2016.

75-16 Bernhard Gems, Bruno Mazzorana, Thomas Hofer, Michael Sturm, Roman Gabl and Markus Aufleger, 3-D hydrodynamic modelling of flood impacts on a building and indoor flooding processes, Nat. Hazards Earth Syst. Sci., 16, 1351-1368, 2016, http://www.nat-hazards-earth-syst-sci.net/16/1351/2016/, doi:10.5194/nhess-16-1351-2016 © Author(s) 2016. This work is distributed under the Creative Commons Attribution 3.0 License.

74-16 Roman Gabl, Jakob Seibl, Manfred Pfeifer, Bernhard Gems and Markus Aufleger, 3D-numerische Modellansätze für die Berechnung von Lawineneinstößen in Speicher (Concepts to simulate avalanche impacts into a reservoir based on 3D-numerics), Österr Wasser- und Abfallw (2016). doi:10.1007/s00506-016-0346-z.

73-16 Sebastian Krzyzagorski, Roman Gabl, Jakob Seibl, Heidi Böttcher and Markus Aufleger, Implementierung eines schräg angeströmten Rechens in die 3D-numerische Berechnung mit FLOW-3D (Implementation of an angled trash rack in the 3D-numerical simulation with FLOW-3D), Österr Wasser- und Abfallw (2016) 68: 146. doi:10.1007/s00506-016-0299-2.

71-16 Khosro Morovati, Afshin Eghbalzadeh and Saba Soori, Numerical Study of Energy Dissipation of Pooled Stepped Spillways, Civil Engineering Journal Vol. 2, No. 5, May, 2016.

66-16 Sooyoung Kim, Seo-hye Choi and Seung Oh Lee, Analysis of Influence for Breach Flow According to Asymmetry of Breach Cross-section, Journal of the Korea Academia-Industrial cooperation Society, Vol. 17, No. 5 pp. 557-565, 2016, http://dx.doi.org/10.5762/KAIS.2016.17.5.557, ISSN 1975-4701 / eISSN 2288-4688.

65-16 Dae-Geun Kim, Analysis of Overflow Characteristics around a Circular-Crested Weir by Using Numerical Model, Journal of Korean Society of Water and Wastewater Vol. 30, No. 2, April 2016.

63-16 Farzad Ferdos and Bijan Dargahi, A study of turbulent flow in largescale porous media at high Reynolds numbers. Part II: flow physics, Journal of Hydraulic Research, 2016, DOI: 10.1080/00221686.2016.1211185.

62-16 Farzad Ferdos and Bijan Dargahi, A study of turbulent flow in largescale porous media at high Reynolds numbers. Part I: numerical validation, Journal of Hydraulic Research, 2016, DOI: 10.1080/00221686.2016.1211184.

60-16 Chia-Lin Chiu, Chia-Ming Fan and Shun-Chung Tsung, Numerical modeling for periodic oscillation of free overfall in a vertical drop pool, DOI: 10.1061/(ASCE)HY.1943-7900.0001236. © 2016 American Society of Civil Engineers.

54-16 Serife Yurdagul Kumcu, Investigation of Flow Over Spillway Modeling and Comparison between Experimental Data and CFD Analysis, KSCE Journal of Civil Engineering, (0000) 00(0):1-10, Copyright 2016 Korean Society of Civil Engineers, DOI 10.1007/s12205-016-1257-z.

52-16 Gharehbaghi, A., Kaya, B. and Saadatnejadgharahassanlou, Two-Dimensional Bed Variation Models Under Non-equilibrium Conditions in Turbulent Streams, H. Arab J Sci Eng (2016). doi:10.1007/s13369-016-2258-4

48-16 M. Mohsin Munir, Taimoor Ahmed, Javed Munir and Usman Rasheed, Application of Computational Flow Dynamics Analysis for Surge Inception and Propagation for Low Head Hydropower Projects, Proceedings of the Pakistan Academy of Sciences: Pakistan Academy of Sciences, A. Physical and Computational Sciences 53 (2): 177–185 (2016), Copyright © Pakistan Academy of Sciences

46-16 Manuel Gómez, Joan Recasens, Beniamino Russo and Eduardo Martínez-Gomariz, Assessment of inlet efficiency through a 3D simulation: numerical and experimental comparison, wst2016326; DOI: 10.2166/wst.2016.326, August 2016

45-16 Chia-Ying Chang, Frederick N.-F. Chou, Yang-Yih Chen, Yi-Chern Hsieh, Chia-Tzu Chang, Analytical and experimental investigation of hydrodynamic performance and chamber optimization of oscillating water column system, Energy 113 (2016) 597-614

42-16 Bung, D. and Valero, D., Application of the Optical Flow Method to Velocity Determination, In B. Crookston & B. Tullis (Eds.), Hydraulic Structures and Water System Management, 6th IAHR International Symposium on Hydraulic Structures, Portland, OR, 27-30 June 2016, doi:10.15142/T3150628160853 (ISBN 978-1-884575-75-4).

41-16 Valero, D., Bung, D., Crookston, B. and Matos, J., Numerical investigation of USBR type III stilling basin performance downstream of smooth and stepped spillways, In B. Crookston & B. Tullis (Eds.), Hydraulic Structures and Water System Management. 6th IAHR International Symposium on Hydraulic Structures, Portland, OR, 27-30 June 2016, doi:10.15142/T340628160853 (ISBN 978-1-884575-75-4).

40-16 Bruce M. Savage, Brian M. Crookston and Greg S. Paxson, Physical and Numerical Modeling of Large Headwater Ratios for a 15° Labyrinth Spillway, J. Hydraul. Eng., 10.1061/(ASCE)HY.1943-7900.0001186, 04016046.

36-16 Kai-Wen Hsiao, Yu-Chao Hsu, Chyan-Deng Jan, and Yu-Wen Su, Characteristics of Hydraulic Shock Waves in an Inclined Chute Contraction by Using Three Dimensional Numerical Model, Geophysical Research Abstracts, Vol. 18, EGU 2016-11505, 2016, EGU General Assembly 2016, © Author(s) 2016. CC Attribution 3.0 License.

34-16 Dunlop, S., Willig, I., Paul, G., Cabinet Gorge Dam Spillway Modifications for TDG Abatement – Design Evolution and Field Performance, In B. Crookston & B. Tullis (Eds.), Hydraulic Structures and Water System Management. 6th IAHR International Symposium on Hydraulic Structures, Portland, OR, 27-30 June, 2016, doi:10.15142/T3650628160853 (ISBN 978-1-884575-75-4).

33-16 Crispino, G., Dorthe, D., Fuchsmann, T., Gisonni, C., Pfister, M., Junction chamber at vortex drop shaft: case study of Cossonay, In B. Crookston & B. Tullis (Eds.), Hydraulic Structures and Water System Management, 6th IAHR International Symposium on Hydraulic Structures, Portland, OR, 27-30 June 2016, doi:10.15142/T350628160853 (ISBN 978-1-884575-75-4).

32-16 Brown, K., Crookston, B., Investigating Supercritical Flows in Curved Open Channels with Three Dimensional Numerical Modeling, In B. Crookston & B. Tullis (Eds.), Hydraulic Structures and Water System Management, 6th IAHR International Symposium on Hydraulic Structures, Portland, OR, 27-30 June, 2016, doi:10.15142/T3580628160853 (ISBN 978-1-884575-75-4).

31-16 Cicero, G, Influence of some geometrical parameters on Piano Key Weir discharge efficiency,In B. Crookston & B. Tullis (Eds.), Hydraulic Structures and Water System Management, 6th IAHR International Symposium on Hydraulic Structures, Portland, OR, 27-30 June, 2016, doi:10.15142/T3320628160853 (ISBN 978-1-884575-75-4).

28-16 Anthoula Gkesouli, Maria Nitsa, Anastasios I. Stamou, Peter Rutschmann and Minh Duc Bui, Modeling the effect of wind in rectangular settling tanks for water supply, DOI: 10.1080/19443994.2016.1195290, Desalination and Water Treatment, June 22, 2016.

27-16 Eugenio Pugliese Carratelli, Giacomo Viccione and Vittorio Bovolin, Free surface flow impact on a vertical wall: a numerical assessment, Theor. Comput. Fluid Dyn., DOI 10.1007/s00162-016-0386-9, February 2016.

25-16 Daniel Valero and Daniel B. Bung, Sensitivity of turbulent Schmidt number and turbulence model to simulations of jets in crossflow, Environmental Modelling & Software 82 (2016) 218e228.

24-16 Il Won Seo, Young Do Kim, Yong Sung Park and Chang Geun Song, Spillway discharges by modification of weir shapes and overflow surroundings, Environmental Earth Sciences, March 2016, 75:496, 14 March 2016

23-16 Du Han Lee, Myounghwan Kim and Dong Sop Rhee, Evacuation Safety Evaluation of Inundated Stairs Using 3D Numerical Simulation, International Journal of Smart Home Vol. 10, No. 3, (2016), pp.149-158 http://dx.doi.org/10.14257/ijsh.2016.10.3.15

22-16 Arnau Bayon, Daniel Valero, Rafael García-Bartual, Francisco Jose Valles-Moran and Amparo Lopez-Jimenez, Performance assessment of OpenFOAM and FLOW-3D in the numerical modeling of a low Reynolds number hydraulic jump, Environmental Modelling & Software 80 (2016) 322e335.

21-16 Shima Bahadori and Mehdi Behdarvandi Askar, Investigating the Effect of Relative Width on Momentum Transfer between Main Channel and Floodplain in Rough Rectangular Compound Channel Sunder Varius Relative Depth Condition, Open Journal of Geology, 2016, 6, 225-231, Published Online April 2016 in SciRes.

18-16 Ali Ahrari, Hong Lei, Montassar Aidi Sharif, Kalyanmoy Deb and Xiaobo Tan, Optimum Design of Artificial Lateral Line Systems for Object Tracking under Uncertain Conditions, COIN Report Number: 2016006

16-16 Elena Battisacco, Giovanni De Cesare and Anton J. Schleiss, Re-establishment of a uniform discharge on the Olympic fountain in Lausanne, Journal of Applied Water Engineering and Research, (2016) DOI: 10.1080/23249676.2016.1163648.

14-16 Shima Bahadori, Mehdi and Behdarvandi Askar, Investigating the Simultaneous Effect of Relative Width and Relative Roughness on Apparent Shear Stress in Symmetric Compound Rectangular Channels, JOURNAL OF CURRENT RESEARCH IN SCIENCE, ISSN 2322-5009 CODEN (USA): JCRSDJ, S (1), 2016: 654-660

12-16 Charles R. Ortloff, Hydraulic Engineering Innovations at 100 BC- AD 300 Nabataean Petra (Jordan), In conference proceedings: De Aquaeductu atque Aqua Urbium Lyciae Pamphyliae Pisidiae. The Legacy of Sextus Julius Frontinus, Antalya, Turkey, G. Wiplinger, ed. ISBN: 978-90-429-3361-3, 2016 Peeters Publisher, Leuven, Belgium.

11-16 G. Robblee, S. Kees and B.M. Crookston, Schnabel Engineering; and K. Keel, Town of Hillsborough, Ensuring Water Supply Reliability with Innovative PK Weir Spillway Design, 36th USSD Annual Meeting and Conference, Denver, CO, April 11-15, 2016

10-16 Tina Stanard and Victor Vasquez, Freese and Nichols, Inc.; Ruth Haberman, Upper Brushy Creek Water Control and Improvement District; Blake Tullis, Utah State University; and Bruce Savage, Idaho State University, Importance of Site Considerations for Labyrinth Spillway Hydraulic Design — Upper Brushy Creek Dam 7 Modernization, 36th USSD Annual Meeting and Conference, Denver, CO, April 11-15, 2016

09-16 James R. Crowder, Brian M. Crookston, Bradley T. Boyer and J. Tyler Coats, Schnabel Engineering, Cultivating Ingenuity and Safety in Alabama: The Taming of Lake Ogletree Reservoir, 36th USSD Annual Meeting and Conference, Denver, CO, April 11-15, 2016

08-16 Frank Lan, Robert Waddell and Michael Zusi, AECOM; and Brian Grant, Montana DNRC, Replacing Ruby Dam Outlet Uses Computational Fluid Dynamics to Model Energy Dissipation, 36th USSD Annual Meeting and Conference, Denver, CO, April 11-15, 2016

07-16 Elise N. Dombeck, Federal Energy Regulatory Commission, Applications of FLOW-3D for Stability Analyses of Concrete Spillways at FERC Projects, 36th USSD Annual Meeting and Conference, Denver, CO, April 11-15, 2016

06-16 Farhad Ghazizadeh and M. Azhdary Moghaddam, An Experimental and Numerical Comparison of Flow Hydraulic Parameters in Circular Crested Weir Using FLOW-3D, Civil Engineering Journal Vol. 2, No. 1, January, 2016

05-16 Sadegh Dehdar-behbahani and Abbas Parsaie, Numerical modeling of flow pattern in dam spillway’s guide wall. Case study: Balaroud dam, Iran, doi:10.1016/j.aej.2016.01.006, February 2016.

04-16 Oscar Herrera-Granados and Stanisław W. Kostecki, Numerical and physical modeling of water flow over the ogee weir of the new Niedów barrage, DOI: 10.1515/johh-2016-0013, J. Hydrol. Hydromech., 64, 2016, 1, 67–74

03-16 B. Gems, B. Mazzorana, T. Hofer, M. Sturm, R. Gabl, M. Aufleger, 3D-hydrodynamic modelling of flood impacts on a building and indoor flooding processes, Nat. Hazards Earth Syst. Sci. Discuss., doi:10.5194/nhess-2015-326, 2016, Manuscript under review for journal Nat. Hazards Earth Syst. Sci., Published: 19 January 2016 © Author(s) 2016. CC-BY 3.0 License.

124-15 Yousef Sangsefidi, Mojtaba Mehraein, and Masoud Ghodsian, Numerical simulation of flow over labyrinth spillways, Scientia Iranica, Transaction A, 22(5), 1779–1787, 2015.

120-15 Du Han Lee, Myounghwan Kim and Dong Sop Rhee, Analysis of Critical Evacuation Condition on Inundated Stairs Using Numerical Simulation, Advanced Science and Technology Letters Vol.120 (GST 2015), pp.522-525 http://dx.doi.org/10.14257/astl.2015.120.104

119-15 Shiqiang Ye and Paul Toth, Bank Erosion Control at Frederickhouse Dam, Ontario, CDA 2015 Annual Conference, Congrès annuel 2015 de l’ACB, Mississauga, ON, Canada, 2015 Oct 5-8

118-15 D.M. Robb and J.A. Vasquez, Numerical simulation of dam-break flows using depth-averaged hydrodynamic and three-dimensional CFD models, 22nd Canadian Hydrotechnical Conference, Montreal, Quebec, April 29 – May 2, 2015

117-15 Ashkan. Reisi, Parastoo. Salah, and Mohamad Reza. Kavianpour, Impact of Chute Walls Convergence Angle on Flow Characteristics of Spillways using Numerical Modeling, International Journal of Chemical, Environmental & Biological Sciences (IJCEBS), Volume 3, Issue 3 (2015) ISSN 2320–4087 (Online)

115-15 Ivana Vouk, Field and Numerical Investigation of Mixing and Transport of Ammonia in the Ottawa River, Master’s Thesis: Department of Civil Engineering, University of Ottawa, August 2015, © Ivana Vouk, Canada 2016.

113-15 J. Amblard, C. Pams Capoccioni, D. Nivon, L. Mellal, G. De Cesare, T. Ghilardi, M. Jafarnejad and E. Battisacco, Analysis of Ballast Transport in the Event of Overflowing of the Drainage System on High Speed Lines, International Journal of Railway Technology, Volume 4, 2015. doi:10.4203/ijr, t.4.xx.xx , ©Saxe-Coburg Publications, 2015

111-15 Y. Oukid, V. Libaud and C. Daux, 3D CFD modelling of spillways -Practical feedback on capabilities and challenges, Hydropower & Dams Issue Six, 2015

110-15 Zhiyong Zhang and Yuanping Yang, Numerical Study on Onset Condition of Scour Below Offshore Pipeline Under Reversing Tidal Flow, © EJGE, Vol. 20 [2015], Bund. 25

109-15 He Baohua, Numerical Simulation Analysis of Karst Tunnel Water Bursting Movement, © EJGE, Vol. 20 [2015], Bund. 25

105-15 Ali Yıldız and A. İhsan Martı, Comparison of Experimental Study and CFD Analysis of the Flow Under a Sluice Gate, Proceedings of International Conference on Structural Architectural and Civil Engineering Held on 21-22, Nov, 2015, in Dubai, ISBN:9788193137321

104-15 Yehui Zhu and Liquan Xie, Numerical Analysis of Flow Effects on Water Interface over a Submarine Pipeline, Resources, Environment and Engineering II: Proceedings of the 2nd Technical Congress on Resources, Environment and Engineering (CREE 2015, Hong Kong, 25-26 September 2015), Edited by Liquan Xie, CRC Press 2015, Pages 99–104, DOI: 10.1201/b19136-16.

100-15 Yizhou Xiao, Wene Wang, Xiaotao Hu, and Yan Zhou, Experimental and numerical research on portable short-throat flume in the field, Flow Measurement and Instrumentation, doi:10.1016/j.flowmeasinst.2015.11.003, Available online December 8, 2015

99-15 Mehdi Taghavi and Hesam Ghodousi, Simulation of Flow Suspended Load in Weirs by Using FLOW-3D Model, Civil Engineering Journal Vol. 1, No. 1, November 2015

98-15 Azin Movahedi, Ali Delavari and Massoud Farahi, Designing Manhole in Water Transmission Lines Using FLOW-3D Numerical Model, Civil Engineering Journal Vol. 1, No. 1, November 2015

97-15 R. Gabl, J. Seibl, B. Gems, and M. Aufleger, 3-D numerical approach to simulate the overtopping volume caused by an impulse wave comparable to avalanche impact in a reservoir, Nat. Hazards Earth Syst. Sci., 15, 2617-2630, doi:10.5194/nhess-15-2617-2015, 2015.

94-15 Jason Matthew Duguay and Jay Lacey, Numerical Study of an Innovative Fish Ladder Design for Perched Culverts, Canadian Journal of Civil Engineering, 10.1139/cjce-2014-0436, November 2015

92-15 H. A. Hussein, R. Abdulla and M. A. Md Said, Computational Investigation of Inlet Baffle Height on the Flow in a Rectangular Oil/Water Separator Tanks, Applied Mechanics and Materials, Vol. 802, pp. 587-592, Oct. 2015

91-15 Mahmoud Mohammad Rezapour Tabari and Shiva Tavakoli, Effects of Stepped Spillway Geometry on Flow Pattern and Energy Dissipation, Arabian Journal for Science and Engineering, October 2015

87-15 Erin R. Ryan, Effects of Hydraulic Structures on Fish Passage – An Evaluation of 2D vs 3D Hydraulic Analysis Methods, Master’s Thesis: Civil and Environmental Engineering, Colorado State University, Summer 2015, Copyright by Erin Rose Ryan 2015

79-15 Ana L. Quaresma, Is CFD an efficient tool to develop pool type fishways? International Conference on Engineering and Ecohydrology for Fish Passage. Paper 20, June 24, 2015

78-15 Amir Alavi, Don Murray, Claude Chartrand and Derek McCoy, CFD Modeling Provides Value Engineering, Hydro Review, October 2015

75-15 Rebekka Czerny, Classification of flow patterns in a nature-oriented fishway based on 3D hydraulic simulation results, International Conference on Engineering and Ecohydrology for Fish Passage. Paper 39, June 22, 2015

73-15 Frank Seidel, Hybrid model approach for designing fish ways – example fish lift system at Baldeney/Ruhr and fishway at Geesthacht /Elbet, International Conference on Engineering and Ecohydrology for Fish Passage 2015

72-15 G. Guyot, B. Huber, and A. Pittion-Rossillon, Assessment of a numerical method to forecast vortices with a scaled model, E-proceedings of the 36th IAHR World Congress, 28 June – 3 July, 2015, The Hague, the Netherlands

71-15 Abbas Parsaie, Amir Hamzeh Haghiabi and Amir Moradinejad, CFD modeling of flow pattern in spillway’s approach channel, Sustainable Water Resources Management, September 2015, Volume 1, Issue 3, pp 245-251

70-15 T. Liepert, A. Kuhlmann, G. Haimer, M.D. Bui and P. Rutschmann, Optimization of Fish Pass Entrance Location at a Hydropower Plant Considering Site-Specific Constraints, Proceedings of the 14th International Conference on Environmental Science and Technology, Rhodes, Greece, 3-5 September 2015

67-15 Alkistis Stergiopoulou and Efrossini Kalkani, Towards a first CFD study of modern horizontal axis Archimedean water current turbines, Volume: 02 Issue: 04, ISO 9001:2008 Certified Journal © 2015, IRJET, July 2015

66-15 Won Choi, Jeongbae Jeon, Jinseon Park, Jeong Jae Lee and Seongsoo Yoon, System reliability analysis of downstream spillways based on collapse of upstream spillways, Int J Agric & Biol Eng, 2015; 8(4): 140－150.

64-15 Szu-Hsien Peng and Chuan Tang, Development and Application of Two-Dimensional Numerical Model on Shallow Water Flows Using Finite Volume Method, Journal of Applied Mathematics and Physics, 2015, 3, 989-996, Published Online August 2015 in SciRes. http://www.scirp.org/journal/jamp, http://dx.doi.org/10.4236/jamp.2015.38121

62-15 Cuneyt Yavuz, Ali Ersin Dincer, Kutay Yilmaz and Samet Dursun, Head Loss Estimation of Water Jets from Flip Bucket of Cakmak-1 Diversion Weir and HEPP, RESEARCH GATE, August 2015 DOI: 10.13140/RG.2.1.3650.5440

54-15 Guo-bin Xu, Li-na Zhao, and Chih Ted Yang, Derivation and verification of minimum energy dissipation rate principle of fluid based on minimum entropy production rate principle, International Journal of Sediment Research, August 2015

50-15 Vafa Khoolosi, Sedat Kabdaşli, and Sevda Farrokhpour, Modeling and Comparison of Water Waves Caused by Landslides into Reservoirs, Watershed Management 2015 © ASCE 2015.

48-15 Mohammad Rostami and Maaroof Siosemarde, Human Life Saving by Simulation of Dam Break using FLOW-3D (A Case Study: Upper Gotvand Dam), www.sciencejournal.in, Volume- 4 Issue- 3 (2015) ISSN: 2319–4731 (p); 2319–5037 (e) © 2015 DAMA International. All rights reserved.

47-15 E. Kolden, B. D. Fox, B. P. Bledsoe and M. C. Kondratieff, Modelling Whitewater Park Hydraulics and Fish Habitat in Colorado, River Res. Applic., doi: 10.1002/rra.2931, 2015

43-15 Firouz Ghasemzadeh, Behzad Parsa, and Mojtaba Noury, Numerical Study of Overflow Capacity of Spillways, E-proceedings of the 36th IAHR World Congress, 28 June – 3 July, 2015, The Hague, the Netherlands

42-15 Mario Oertel, Numerical Modeling of Free-Surface Flows in Practical Applications, Chapter 8 in Rivers – Physical, Fluvial and Environmental Processes (GeoPlanet: Earth and Planetary Sciences), by Pawel Rowiński and Artur Radecki-Pawlik, July 2, 2015

39-15 R. Gabl, J. Seibl, B. Gems, and M. Aufleger, 3-D-numerical approach to simulate an avalanche impact into a reservoir, Nat. Hazards Earth Syst. Sci. Discuss., 3, 4121–4157, 2015, www.nat-hazards-earth-syst-sci-discuss.net/3/4121/2015/, doi:10.5194/nhessd-3-4121-2015, © Author(s) 2015. CC Attribution 3.0 License.

37-15 Mario Oertel, Discharge Coefficients of Piano Key Weirs from Experimental and Numerical Models, E-proceedings of the 36th IAHR World Congress, 28 June – 3 July, 2015, The Hague, the Netherlands

36-15 Jessica Klein and Mario Oertel, Comparison between Crossbar Block Ramp and Vertical Slot Fish Pass via Numerical 3D CFD Simulation, E-proceedings of the 36th IAHR World Congress, 28 June – 3 July, 2015, The Hague, the Netherlands

35-15 Mario Oertel, Jan P. Balmes and Daniel B. Bung, Numerical Simulation of Erosion Processes on Crossbar Block Ramps, E-proceedings of the 36th IAHR World Congress, 28 June – 3 July, 2015, The Hague, the Netherlands

33-15 Daniel Valero and Daniel B. Bung, Hybrid Investigation of Air Transport Processes in Moderately Sloped Stepped Spillway Flows, E-proceedings of the 36th IAHR World Congress, 28 June – 3 July, 2015, The Hague, the Netherlands

32-15 Deniz Velioglu, Nuray Denli Tokyay, and Ali Ersin Dincer, A Numerical and Experimental Study on the Characteristics of Hydraulic Jumps on Rough Beds, E-proceedings of the 36th IAHR World Congress, 28 June – 3 July, 2015, The Hague, the Netherlands

31-15 J.C.C. Amorim, R.C.R. Amante, and V.D. Barbosa, Experimental and Numerical Modeling of Flow in a Stilling Basin, E-proceedings of the 36th IAHR World Congress, 28 June – 3 July, 2015, The Hague, the Netherlands

30-15 Luna B.J. César, Salas V. Christian, Gracia S. Jesús, and Ortiz M. Victor, Comparative Analysis of the Modification of Turbulence and Its Effects on a Trapezoidal Section Stilling Basin, E-proceedings of the 36th IAHR World Congress, 28 June – 3 July, 2015, The Hague, the Netherlands

27-15 L. Castillo, J. Carrillo, and M. Álvarez, Complementary Methods for Determining the Sedimentation and Flushing in a Reservoir, J. Hydraul. Eng., 10.1061/(ASCE)HY.1943-7900.0001050 , 05015004, 2015.

22-15 Mohammad Vaghefi, Mohammad Shakerdargah and Maryam Akbari, Numerical investigation of the effect of Froude number on flow pattern around a submerged T-shaped spur dike in a 90º bend, © Turkish Journal of Engineering & Environmental Sciences, 03.04.2015, doi:10.3906/muh-1405-2

18-15 S. Michael Scurlock, Amanda L. Cox, Drew C. Baird, Christopher I. Thornton and Steven R. Abt, Hybrid Modeling of River Training Structures in Sinuous Channels, SEDHYD 2015, Joint 10th Federal Interagency Sedimentation Conference, 5th Federal Interagency Hydrologic Modeling Conference, April 19-23, 2015, Reno, Nevada

13-15 Selahattin Kocaman and Hatice Ozmen-Cagatay, Investigation of dam-break induced shock waves impact on a vertical wall, Journal of Hydrology (2015), doi: http://dx.doi.org/10.1016/j.jhydrol.2015.03.040.

12-15 Nguyen Cong Thanh and Wang Ling-Ling, Physical and Numerical Model of Flow through the Spillways with a Breast Wall, KSCE Journal of Civil Engineering (0000) 00(0):1-8, Copyright 2015 Korean Society of Civil Engineers, DOI 10.1007/s12205-015-0742-0, April 10, 2015.

10-15 Yueping Yin, Bolin Huang, Guangning Liu and Shichang Wang, Potential risk analysis on a Jianchuandong dangerous rockmass-generated impulse wave in the Three Gorges Reservoir, China, Environ Earth Sci, DOI 10.1007/s12665-015-4278-x, © Springer-Verlag Berlin Heidelberg 2015

08-15 Yue-ping Yin, Bolin Huang, Xiaoting Chen, Guangning Liu and Shichang Wang, Numerical analysis on wave generated by the Qianjiangping landslide in Three Gorges Reservoir, China, 10.1007/s10346-015-0564-7, © Springer-Verlag Berlin Heidelberg 2015

07-15 M. Vaghefi, A. Ahmadi and B. Faraji, The Effect of Support Structure on Flow Patterns Around T-Shape Spur Dike in 90° Bend Channel, Arabian Journal for Science and Engineering, February 2015,

06-15 Sajjad Mohammadpour Zalaki, Hosein Fathian, Ebrahim Zalaghi and Farhad Kalantar Hormozi, Investigation of hydraulic parameters and cavitation in Kheir Abad flood release structure, Canadian Journal of Civil Engineering, February 2015

04-15 Der-Chang Lo, Jin-Shuen Liou, and Shyy Woei Chang, Hydrodynamic Performances of Air-Water Flows in Gullies with and without Swirl Generation Vanes for Drainage Systems of Buildings, Water 2015, 7(2), 679-696; doi:10.3390/w7020679

01-15 William Daley Clohan, Three-Dimensional Numerical Simulations of Subaerial Landslide Generated Waves, Master’s Thesis: Civil Engineering, The University of British Columbia (Vancouver), January 2015 © William Daley Clohan, 2015. Available upon request.

136-14 Charles R. Ortloff, Hydraulic Engineering in 300 BCE- CE 300 Petra (Jordan), Encyclopedia of Ancient Science, Technology and Medicine in Nonwestern Cultures, Springer Publishing, Berlin Germany, 2014.

135-14 Charles R. Ortloff, Land, Labor, Water and Technology in Precolumbian South America, Encyclopedia of Ancient Science, Technology and Medicine in Nonwestern Cultures, Springer Publishing, Berlin Germany, 2014.

134-14 Charles R. Ortloff, Hydrologic Engineering of the 300 BCE- CE 1100 Precolumbian Tiwanaku State (Bolivia), Encyclopedia of Ancient Science, Technology and Medicine in Nonwestern Cultures, Springer Publishing, Berlin Germany, 2014.

133-14 Charles R. Ortloff, Water engineering at Petra (Jordan): Recreating the decision process underlying hydraulic engineering of the Wadi Mataha pipeline system, Journal of Archaeological Science, April 2014. 44. 91–97. 10.1016/j.jas.2014.01.015.

132-14 Charles R. Ortloff, Hydraulic Engineering in Ancient Peru and Bolivia, Encyclopedia of Ancient Science, Technology and Medicine in Nonwestern Cultures, Springer Publishing, Berlin Germany, 2014.

131-14 Charles R. Ortloff, Water Management in Ancient Peru, Living Reference Work Entry, Encyclopedia of Ancient Science, Technology and Medicine in Nonwestern Cultures, Springer Publishing, Berlin Germany, 2014.

130-14 Kordula Schwarzwälder and Peter Rutschmann, Sampling bacteria with a laser, Geophysical Research Abstracts Vol. 16, EGU2014-15144, 2014 EGU General Assembly 2014 © Author(s) 2014. CC Attribution 3.0 License.

129-14 Kordula Schwarzwälder, Eve Walters and Peter Rutschmann, Bacteria fate and transport in a river, Geophysical Research Abstracts Vol. 16, EGU2014-14022, 2014 EGU General Assembly 2014 © Author(s) 2014. CC Attribution 3.0 License.

127-14 Charles R. Ortloff, Hydraulic Engineering in Petra, Living Reference Work Entry, Encyclopedia of the History of Science, Technology, and Medicine in Non-Western Cultures, pp 1-13, 03 July 2014

124-14 G. Wei. M. Grünzner and F. Semler, Combination of 2D shallow water and full 3D numerical modeling for sediment transport in reservoirs and basins, Reservoir Sedimentation – Schleiss et al. (Eds) © 2014 Taylor & Francis Group, London, ISBN 978-1-138-02675-9.

121-14 A. Bayón-Barrachina, D. Valero, F. Vallès-Morán, and P.A. López-Jiménez, Comparison of CFD Models for Multiphase Flow Evolution in Bridge Scour Processes, 5th International Junior Researcher and Engineer Workshop on Hydraulic Structures, Spa, Belgium, 28-30 August 2014

120-14 D. Valero, R. García-Bartual and J. Marco, Optimisation of Stilling Basin Chute Blocks Using a Calibrated Multiphase RANS Model, 5th International Junior Researcher and Engineer Workshop on Hydraulic Structures, Spa, Belgium, 28-30 August 2014

119-14 R. Gabl, B. Gems, M. Plörer, R. Klar, T. Gschnitzer, S. Achleitner, and M. Aufleger, Numerical Simulations in Hydraulic Engineering, Computational Engineering, 2014, pp 195-224, April 2014

118-14 Kerilyn Ambrosini, Analysis of Flap Gate Design and Implementations for Water Delivery Systems in California and Nevada, BioResource and Agricultural Engineering, BioResource and Agricultural Engineering Department, California Polytechnic State University, San Luis Obispo, 2014

117-14 Amir Moradinejad, Abas Parssai, Mohamad Noriemamzade, Numerical Modeling of Flow Pattern In Kamal Saleh Dam Spillway Approach Channel, App. Sci. Report.10 (2), 2014: 82-89, © PSCI Publications

116-14 Luis G. Castillo and José M. Carrillo, Characterization of the Dynamic Actions and Scour Estimation Downstream of a Dam, 1st International Seminar on Dam Protection against Overtopping and Accidental Leakage, M.Á. Toledo, R. Morán, E. Oñate (Eds), Madrid, 24-25 November 2014

115-14 Luis G. Castillo, José M. Carrillo, Juan T. García, Antonio Vigueras-Rodríguez, Numerical Simulations and Laboratory Measurements in Hydraulic Jumps, 11th International Conference on Hydroinformatics, HIC 2014, New York City, USA

114-14 Du Han Lee, Young Joo Kim, and Samhee Lee, Numerical modeling of bed form induced hyporheic exchange, Paddy and Water Environment, August 2014, Volume 12, Issue 1 Supplement, pp 89-97

112-14 Ed Zapel, Hank Nelson, Brian Hughes, Steve Fry, Options for Reducing Total Dissolved Gas at the Long Lake Hydroelectric Facility, Hydrovision International, July 22-24, 2014, Nashville, TN

111-14 Jason Duguay, Jay Lace, Dave Penny and Ken Hannaford, Evolution of an Innovative Fish Ladder Design to Address Issues of Perched Culverts, 2014 Conference of the Transportation Association of Canada, Montreal, Quebec

106-14 Manuel Gomez and Eduardo Martinez, 1D, 2D and 3D Modeling of a PAC-UPC Laboratory Canal Bend, SimHydro 2014: Modelling of rapid transitory flows, 11-13 June 2014, Sophia Antipolis

105-14 Jason Duguay and Jay Lacey, Numerical Validation of an Innovative Fish Baffle Design in Response to Fish Passage Issues at Perched Culverts, CSPI Technical Bulletin, January 14, 2014

104-14 Di Ning, Di, A Computational Study on Hydraulic Jumps, including Air Entrainment, Master’s Thesis: Civil and Environmental Engineering, University of California, Davis, 2014, 1569799, Copyright ProQuest, UMI Dissertations Publishing 2014

103-14 S. M. Sayah, S. Bonanni, Ph. Heller, and M. Volpato, Physical and Numerical Modelling of Cerro del Águila Dam -Hydraulic and Sedimentation, DOI: 10.13140/2.1.5042.1122 Conference: Hydro 2014

102-14 Khosrow Hosseini, Shahab Rikhtegar, Hojat Karami, Keivan Bina, Application of Numerical Modeling to Assess Geometry Effect of Racks on Performance of Bottom Intakes, Arabian Journal for Science and Engineering, December 2014

98-14 Aysel Duru, Numerical Modelling of Contracted Sharp Crested Weirs, Master’s Thesis: The Graduate School of Natural and Applied Sciences of Middle East Technical University, November 2014

97-14 M Angulo, S Liscia, A Lopez and C Lucino, Experimental validation of a low-head turbine intake designed by CFD following Fisher and Franke guidelines, 27th IAHR Symposium on Hydraulic Machinery and Systems (IAHR 2014), IOP Publishing, IOP Conf. Series: Earth and Environmental Science 22 (2013) 042014 doi:10.1088/1755-1315/22/4/042014

94-14 Hamidreza Babaali, Abolfazl Shamsai, and Hamidreza Vosoughifar, Computational Modeling of the Hydraulic Jump in the Stilling Basin with ConvergenceWalls Using CFD Codes, Arab J Sci Eng, DOI 10.1007/s13369-014-1466-z, October 2014

93-14 A.J. Vellinga, M.J.B. Cartigny, J.T. Eggenhuisen, E.W.M. Hansen, and R. Rouzairol, Morphodynamics of supercritical-flow bedforms using depth-resolved computational fluid dynamics model, International Association of Sedimentologists, Geneva, 2014.

88-14 Marcelo A. Somos-Valenzuela, Rachel E. Chisolm, Daene C. McKinney, and Denny Rivas, Inundation Modeling of a Potential Glacial Lake Outburst Flood in Huaraz, Peru, CRWR Online Report 14-01, March 2014

84-14 Hossein Shahheydari, Ehsan Jafari Nodoshan, Reza Barati, and Mehdi Azhdary Moghadam, Discharge coefficient and energy dissipation over stepped spillway under skimming flow regime, KSCE Journal of Civil Engineering, 10.1007/s12205-013-0749-3, November 2014

81-14 Gaël Epely-Chauvin, Giovanni De Cesare and Sebastian Schwindt, Numerical Modelling of Plunge Pool Scour Evolution in Non-Cohesive Sediments, Engineering Applications of Computational Fluid Mechanics Vol. 8, No. 4, pp. 477–487 (2014).

79-14 Liquan Xie, Yanhui Xu, and Wenrui Huang, Numerical Study on Hydrodynamic Mechanism of Sediment Trapping by Geotextile Mattress with Sloping Curtain (GMSC), Proceedings of the Eleventh (2014) Pacific/Asia Offshore Mechanics Symposium Shanghai, China, October 12-16, 2014 Copyright © 2014 by The International Society of Offshore and Polar Engineers, ISBN 978–1 880653 90-6: ISSN 1946-004X.

78-14 D. N. Powell and A. A. Khan, Flow Field Upstream of an Orifice under Fixed Bed and Equilibrium Scour Conditions, J. Hydraul. Eng., 10.1061/(ASCE)HY.1943-7900.0000960, 04014076, 2014.

76-14 Berk Sezenöz, Numerical Modelling of Continuous Transverse Grates for Hydraulic Efficiency, Master’s Thesis: The Graduate School of Natural and Applied Sciences of Middle East Technical University, October 2014

75-14 Francesco Calomino and Agostino Lauria, 3-D Underflow of a Sluice Gate at a Channel Inlet; Experimental Results and CFD Simulations, Journal of Civil Engineering and Urbanism, Volume 4, Issue 5: 501-508 (2014)

73-14 Som Dutta, Talia E. Tokyay, Yovanni A. Cataño-Lopera, Sergio Serafinod and Marcelo H. Garcia, Application of computational fluid dynamic modeling to improve flow and grit transport in Terence J. O’Brien Water Reclamation Plant, Chicago, Illinois, Journal of Hydraulic Research, DOI: 10.1080/00221686.2014.949883, October 2014

72-14 Ali Heidari, Poria Ghassemi, Evaluation of step’s slope on energy dissipation in stepped spillway, International Journal of Engineering & Technology, 3 (4) (2014) 501-505, ©Science Publishing Corporation, www.sciencepubco.com/index.php/IJET, doi: 10.14419/ijet.v3i4.3561

70-14 M. Tabatabai, M. Heidarnejad, A. Bordbar, Numerical Study of Flow Patterns in Stilling Basin with Sinusoidal Bed using FLOW-3D Model, Advances in Environmental Biology, 8(13) August 2014, Pages: 787-792

66-14 John S. Schwartz, Keil J. Neff, Frank E. Dworak, Robert R. Woockman, Restoring riffle-pool structure in an incised, straightened urban stream channel using an ecohydraulic modeling approach, Ecol. Eng. (2014), doi.org/10.1016/j.ecoleng.2014.06.002

65-14 Laura Rozumalski and Michael Fullarton, CFD Modeling to Design a Fish Lift Entrance, Hydro Review, July 2014

64-14 Pam Waterman, Scaled for Success: Computational Fluid Dynamics Analysis Prompts Swift Stormwater System Improvements in Indianapolis, WaterWorld, August 2014.

63-14 Markus Grünzner and Peter Rutschmann, Large Eddy Simulation – Ein Beitrag zur Auflösung turbulenter Strömungsstrukturen in technischen Fischaufstiegshilfen; (LES – resolving turbulent flow in technical fish bypasses), Tagungsband Internationales Symposium in Zurich, Wasser- und Flussbau im Alpenraum, Versuchsanstalt fur Wasserbau, Hydrologie und Glaziologie, ETH Zurich. In German.

62-14 Jason Duguay, Jay Lace, Dave Penny, and Ken Hannaford, Evolution of an Innovative Fish Ladder Design to Address Issues of Perched Culverts, 2014 Conference of the Transportation Association of Canada, Montreal, Quebec

60-14 Kordula Schwarzwälder, Minh Duc Bui, and Peter Rutschmann, Simulation of bacteria transport processes in a river with FLOW-3D, Geophysical Research Abstracts, Vol. 16, EGU2014-12993, 2014, EGU General Assembly 2014, © Author(s) 2014. CC Attribution 3.0 License.

58-14 Eray Usta, Numercial Investigation of Hydraulic Characteristics of Laleili Dam Spillway and Comparison with Physical Model Study, Master’s Thesis: The Graduate School of Natural and Applied Sciences of Middle East Technical University, May 2014

57-14 Selahattin Kocaman, Prediction of Backwater Profiles due to Bridges in a Compound Channel Using CFD, Hindawi Publishing Corporation, Advances in Mechanical Engineering, Volume 2014, Article ID 905217, 9 pages, http://dx.doi.org/10.1155/2014/905217

54-14 Ines C. Meireles, Fabian A. Bombardelli, and Jorge Matos, Air entrainment onset in skimming flows on steep stepped spillways: an analysis, (2014) Journal of Hydraulic Research, 52:3, 375-385, DOI: 10.1080/00221686.2013.878401

53-14 Charles R Ortloff, Groundwater Management in the 300 bce-1100ce Pre-Columbian City of Tiwanaku (Bolivia), Hydrol Current Res 5: 168. doi:10.4172/2157-7587.1000168, 2014

50-14 Mohanad A. Kholdier, Weir-Baffled Culvert Hydrodynamics Evaluation for Fish Passage using Particle Image Velocimetry and Computational Fluid Dynamic Techniques, Ph.D. Thesis: Utah State University (2014). All Graduate Theses and Dissertations. Paper 3078. http://digitalcommons.usu.edu/etd/3078

48-14 Yu-Heng Lin, Study on raceway pond for microalgae culturing system, Master Thesis: Department of Marine Environment and Engineering, National Sun Yat-sen University, August 2014. In Chinese

38-14 David Ingram, Robin Wallacey, Adam Robinsonz and Ian Bryden, The design and commissioning of the first, circular, combined current and wave test basin, Proceedings of Oceans 2014 MTS/IEEE, Taipei, Taiwan, IEEE, April 2014

36-14 Charles R. Ortloff, Hydraulic Engineering in Precolumbian Peru and Bolivia, The Encyclopedia of the History of Science, Technology and Medicine in Non-Western Cultures, Springer-Verlag, Volumes II and III, Heidelberg, Germany, 2014.

35-14 Charles R. Ortloff, Hydraulic Engineering in BC 100- AD 300 Petra (Jordan), The Encyclopedia of the History of Science, Technology and Medicine in Non-Western Cultures, Springer-Verlag, Volumes II and III, Heidelberg, Germany, 2014.

34-14 Charles R. Ortloff, Hydraulic Engineering in Precolumbian Peru and Bolivia, The Encyclopedia of the History of Science, Technology and Medicine in Non-Western Cultures, Springer-Verlag, Volumes II and III, Heidelberg, Germany, 2014.

33-14 Roman Gabl, Bernhard Gems, Giovanni De Cesare, and Markus Aufleger, Contribution to Quality Standards for 3D-Numerical Simulations with FLOW-3D, Wasserwirtschaft (ISSN: 0043-0978), vol. 104, num. 3, p. 15-20, Wiesbaden: Springer Vieweg-Springer Fachmedien Wiesbaden Gmbh, 2014. Available for download at the University of Innsbruck. In German.

31-14 E. Fadaei-Kermani and G.A. Barani, Numerical simulation of flow over spillway based on the CFD method, Scientia Iranica A, 21(1), 91-97, 2014

30-14 Luis G. Castillo and José M. Carrillo, Scour Analysis Downstream of Paute-Cardenillo Dam, © 3rd IAHR Europe Congress, Book of Proceedings, 2014, Porto, Portugal.

29-14 L. G. Castillo, M. A. Álvarez, and J. M. Carrillo, Numerical modeling of sedimentation and flushing at the Paute-Cardenillo Reservoir, ASCE-EWRI. International Perspective on Water Resources and Environment Quito, January 8-10, 2014

28-14 L. G. Castillo and J. M. Carrillo, Scour estimation of the Paute-Cardenillo Dam, ASCE-EWRI. International Perspective on Water Resources and Environment Quito, January 8-10, 2014.

27-14 Luis G. Castillo, Manual A. Álvarez and José M. Carrillo, Analysis of Sedimentation and Flushing into the Reservoir Paute-Cardenillo, © 3rd IAHR Europe Congress, Book of Proceedings, 2014, Porto, Portugal.

24-14 Carter R. Newell and John Richardson, The Effects of Ambient and Aquaculture Structure Hydrodynamics on the Food Supply and Demand of Mussel Rafts, Journal of Shellfish Research, 33(1):257-272, DOI: http://dx.doi.org/10.2983/035.033.0125, 0125, 2014.

16-14 Han Hu, Jiesheng Huang, Zhongdong Qian, Wenxin Huai, and Genjian Yu, Hydraulic Analysis of Parabolic Flume for Flow Measurement, Flow Measurement and Instrumentation, http://dx.doi.org/10.1016/j.flowmeasinst.2014.03.002, 2014.

14-14 Seung Oh Lee, Sooyoung Kim, Moonil Kim, Kyoung Jae Lim and Younghun Jung, The Effect of Hydraulic Characteristics on Algal Bloom in an Artificial Seawater Canal: A Case Study in Songdo City, South Korea, Water 2014, 6, 399-413; doi:10.3390/w6020399, ISSN 2073-4441, www.mdpi.com/journal/water

13-14 Kathryn Elizabeth Plymesser, Modeling Fish Passage and Energy Expenditure for American Shad in a Steeppass Fishway using Computational Fluid Dynamics, Ph.D. Thesis: Montana State University, January 2014, © Kathryn Elizabeth Plymesser, 2014, All Rights Reserved.

12-14 Sangdo An and Pierre Y. Julien, Three-Dimensional Modeling of Turbid Density Currents in Imha Reservoir, J. Hydraul. Eng., 10.1061/(ASCE)HY.1943-7900.0000851, 05014004, 2014.

09-14 B. Gems, M. Wörndl, R. Gabl, C. Weber, and M. Aufleger, Experimental and numerical study on the design of a deposition basin outlet structure at a mountain debris cone, Nat. Hazards Earth Syst. Sci., 14, 175–187, 2014, www.nat-hazards-earth-syst-sci.net/14/175/2014/, doi:10.5194/nhess-14-175-2014, © Author(s) 2014. CC Attribution 3.0 License.

07-14 Charles R. Ortloff, Water Engineering at Petra (Jordan): Recreating the Decision Process underlying Hydraulic Engineering of the Wadi Mataha Pipeline System, Journal of Archaeological Science, Available online January 2014.

06-14 Hatice Ozmen-Cagatay, Selahattin Kocaman, Hasan Guzel, Investigation of dam-break flood waves in a dry channel with a hump, Journal of Hydro-environment Research, Available online January 2014.

05-14 Shawn P. Clark, Jonathan Scott Toews, and Rob Tkach, Beyond average velocity: Modeling velocity distributions in partially-filled culverts to support fish passage guidelines, International Journal of River Basin Management, DOI: 10.1080/15715124.2013.879591, January 2014.

04-14 Giovanni De Cesare, Martin Bieri, Stéphane Terrier, Sylvain Candolfi, Martin Wickenhäuser and Gaël Micoulet, Optimization of a Shared Tailrace Channel of Two Pumped-Storage Plants by Physical and Numerical Modeling, Advances in Hydroinformatics Springer Hydrogeology 2014, pp 291-305.

03-14 Grégory Guyot, Hela Maaloul and Antoine Archer, A Vortex Modeling with 3D CFD, Advances in Hydroinformatics Springer Hydrogeology 2014, pp 433-444.

02-14 Géraldine Milési and Stéphane Causse, 3D Numerical Modeling of a Side-Channel Spillway, Advances in Hydroinformatics Springer Hydrogeology 2014, pp 487-498.

01-14 Mohammad R. Namaee, Mohammad Rostami, S. Jalaledini and Mahdi Habibi, A 3-Dimensional Numerical Simulation of Flow Over a Broad-Crested Side Weir, Advances in Hydroinformatics, Springer Hydrogeology 2014, pp 511-523.

104-13 Alireza Nowroozpour, H. Musavi Jahromi and A. Dastgheib, Studying different cases of wedge shape deflectors on energy dissipation in flip bucket using CFD model, Proceedings, 6th International Perspective on Water Resources & the Environment Conference (IPWE), Izmir, Turkey, January 7-9, 2013.

102-13 Shari Dunlop, Isaac Willig and Roger L. Kay, Emergency Response to Erosion at Fort Peck Spillway: Hydraulic Analysis and Design, ICOLD 2013 International Symposium, Seattle, WA.

101-13 Taeho Kang and Heebeom Shin, Dam Emergency Action Plans in Korea, ICOLD 2013 International Symposium, Seattle, WA.

100-13 John Hess, Jeffrey Wisniewski, David Neff and Mike Forrest, A New Auxiliary Spillway for Folsom Dam, ICOLD 2013 International Symposium, Seattle, WA.

98-13 Neda Sharif and Amin Rostami Ravori, Experimental and Numerical Study of the Effect of Flow Separation on Dissipating Energy in Compound Bucket, 2013 5th International Conference on Chemical, Biological and Environmental Engineering (ICBEE 2013); 2013 2nd International Conference on Civil Engineering (ICCEN 2013)

97-13 A. Stergiopoulou, V. Stergiopoulos, and E. Kalkani, Contributions to the Study of Hydrodynamic Behaviour of Innovative Archimedean Screw Turbines Recovering the Hydropotential of Watercourses and of Coastal Currents, Proceedings of the 13th International Conference on Environmental Science and Technology Athens, Greece, 5-7 September 2013

96-13 Shokry Abdelaziz, Minh Duc Bui, Namihira Atsushi, and Peter Rutschmann, Numerical Simulation of Flow and Upstream Fish Movement inside a Pool-and-Weir Fishway, Proceedings of 2013 IAHR World Congress, Chengdu, China

95-13 Guodong Li, Lan Lang, and Jian Ning, 3D Numerical Simulation of Flow and Local Scour around a Spur Dike, Proceedings of 2013 IAHR World Congress, Chengdu, China

93-13 Matthew C. Kondratieff and Eric E. Richer, Stream Habitat Investigations and Assistance, Federal Aid Project F-161-R19, Federal Aid in Fish and Wildlife Restoration, Job Progress Report, Colorado Parks & Wildlife, Aquatic Wildlife Research Section, Fort Collins, Colorado, August 2013. Available upon request

91-13 Cecia Millán Barrera, Víctor Manuel Arroyo Correa, Jorge Armando Laurel Castillo, Modeling contaminant transport with aerobic biodegradation in a shallow water body, Proceedings of 2013 IAHR Congress © 2013 Tsinghua University Press, Beijing

80-13 Brian Fox, Matthew Kondratieff, Brian Bledsoe, Christopher Myrick, Eco-Hydraulic Evaluation of Whitewater Parks as Fish Passage Barriers, International Conference on Engineering and Ecohydrology for Fish Passage, June 25-27, 2013, Oregon State University. Presentation available for download on the Scholarworks site.

79-13 Changsung Kim, Jongtae Kim, Joongu Kang, Analysis of the Cause for the Collapse of a Temporary Bridge Using Numerical Simulation, Engineering, 2013, 5, 997-1005, (http://www.scirp.org/journal/eng), Copyright © 2013 Changsung Kim et al. Published Online December 2013

76-13 Riley J. Olsen, Michael C. Johnson, and Steven L. Barfuss, Low-Head Dam Reverse Roller Remediation Options, Journal of Hydraulic Engineering, November 2013; doi:10.1061/(ASCE)HY.1943-7900.0000848.

72-13 M. Pfister, E. Battisacco, G. De Cesare, and A.J. Schleiss, Scale effects related to the rating curve of cylindrically crested Piano Key weirs, Labyrinth and Piano Key Weirs II – PKW 2013 – Erpicum et al. (eds), © 2014 Taylor & Francis Group, London, ISBN 978-1-138-00085-8.

71-13 F. Laugier, J. Vermeulen, and V. Lefebvre, Overview of Piano KeyWeirs experience developed at EDF during the past few years, Labyrinth and Piano Key Weirs II – PKW 2013 – Erpicum et al. (eds), © 2014 Taylor & Francis Group, London, ISBN 978-1-138-00085-8.

70-13 G.M. Cicero, J.R. Delisle, V. Lefebvre, and J. Vermeulen, Experimental and numerical study of the hydraulic performance of a trapezoidal Piano Key weir, Labyrinth and Piano Key Weirs II – PKW 2013 – Erpicum et al. (eds, © 2014 Taylor & Francis Group, London, ISBN 978-1-138-00085-8.

69-13 V. Lefebvre, J. Vermeulen, and B. Blancher, Influence of geometrical parameters on PK-Weirs discharge with 3D numerical analysis, Labyrinth and Piano Key Weirs II – PKW 2013 – Erpicum et al. (eds), © 2014 Taylor & Francis Group, London, ISBN 978-1-138-00085-8.

65-13 Alkistis Stergiopoulou and Efrossini Kalkani, Towards a First CFD Study of Innovative Archimedean Inclined Axis Hydropower Turbines, International Journal of Engineering Research & Technology (IJERT), ISSN: 2278-0181, Vol. 2 Issue 9, September 2013.

58-13 Timothy Sassaman, Andrew Johansson, Ryan Jones, and Marianne Walter, Hydraulic Analysis of a Pumped Storage Pond Using Complementary Methods, Hydrovision 2013 Conference Proceedings, Denver, CO, July 2013.

57-13 Jose Vasquez, Kara Hurtig, and Brian Hughes, Computational Fluid Dynamics (CFD) Modeling of Run-of-River Intakes, Hydrovision 2013 Conference Proceedings, Denver, CO July 2013.

56-13 David Souders, Jayesh Kariya, and Jeff Burnham, Validation of a Hybrid 3-Dimensional and 2-Dimensional Flow Modeling Technique for an Instanenous Dam-Break, Hydrovision 2013 Conference Proceedings, Denver, CO July 2013.

55-13 Keith Moen, Dan Kirschbaum, Joe Groeneveld, Steve Smith and Kimberly Pate, Sluiceway Deflector Design as part of the Boundary TDG Abatement Program, Hydrovision 2013 Conference Proceedings, Denver, CO, July 2013.

54-13 S. Temeepattanapongsa, G. P. Merkley, S. L. Barfuss and B. Smith, Generic unified rating for Cutthroat flumes, Irrig Sci, DOI 10.1007/s00271-013-0411-3, Springer-Verlag Berlin Heidelberg 2013, August 2013.

53-13 Hossein Afshar and Seyed Hooman Hoseini, Experimental and 3-D Numerical Simulation of Flow over a Rectangular Broad-Crested Weir, International Journal of Engineering and Advanced Technology (IJEAT), ISSN: 2249-8958, Volume 2, Issue 6, August 2013

52-13 Abdulmajid Matinfard (Kabi), Mohammad Heidarnejad, Javad Ahadian, Effect of Changes in the Hydraulic Conditions on the Velocity Distribution around a L-Shaped Spur Dike at the River Bend, Technical Journal of Engineering and Applied Sciences Available online at www.tjeas.com ©2013 TJEAS Journal-2013-3-16/1862-1868 ISSN 2051-0853 ©2013 TJEAS

51-13 Elham Radaei, Sahar Nikbin, and Mahdi Shahrokhi, Numerical Investigation of Angled Baffle on the Flow Pattern in a Rectangular Primary Sedimentation Tank, RCEE, Research in Civil and Environmental Engineering 1 (2013) 79-91.

48-13 Mohammad Kayser, Mohammed A. Gabr, Assessment of Scour on Bridge Foundations by Means of In Situ Erosion Evaluation Probe, Transportation Research Record: Journal of the Transportation Research Board, 0361-1981 (Print), Volume 2335 / 2013, pp 72-78. 10.3141/2335-08, August 2013.

47-13 Wei Ping Yin et al., 2013, Three-Dimensional Water Temperature and Hydrodynamic Simulation of Xiangxi River Estuary, Advanced Materials Research, 726-731, 3212, August, 2013.

41-13 N. Nekoue, R. Mahajan, J. Hamrick, and H. Rodriguez, Selective Withdrawal Hydraulic Study Using Computational Fluid Dynamics Modeling, World Environmental and Water Resources Congress 2013: pp. 1808-1813. doi: 10.1061/9780784412947.177.

40-13 Eleanor Kolden, Modeling in a three-dimensional world: whitewater park hydraulics and their impact on aquatic habitat in Colorado, Thesis: Master of Science, Civil and Environmental Engineering, Colorado State University. Full thesis available online at Colorado State University.

38-13 Prashant Huddar P.E. and Yashodhan Dhopavkar, CFD Use in Water – Insight, Foresight, and Efficiency, CFD Application in Water Engineering, Bangalore, India, June 2013.

37-13 B. Gems, M. Wörndl, R. Gabl, C. Weber, and M. Aufleger, Experimental and numerical study on the design of a deposition basin outlet structure at a mountain debris cone, Nat. Hazards Earth Syst. Sci. Discuss., 1, 3169–3200, 2013, www.nat-hazards-earth-syst-sci-discuss.net/1/3169/2013/, doi:10.5194/nhessd-1-3169-2013, © Author(s) 2013. Full paper online at: Natural Hazards and Earth System Sciences.

33-13 Tian Zhou and Theodore A. Endreny, Reshaping of the hyporheic zone beneath river restoration structures: Flume and hydrodynamic experiments, Water Resources Research, DOI: 10.1002/wrcr.20384, ©2013. American Geophysical Union. All Rights Reserved.

31-13 Francesco Calomino and Agostino Lauria, MOTO ALL’IMBOCCO DI UN CANALE RETTANGOLARE CONTROLLATO DA PARATOIA PIANA. Analisi sperimentale e modellazione numerica 3D; FLOW AT THE INTAKE OF THE RECTANGULAR CHANNEL ;CONTROLLED BY A FLAT SLUICE GATE. Experimental and Numerical 3D Model, L’acqua, pp. 29-36, © Idrotecnica Italiana, 2013. In Italian and English.

30-13 Vinod V. Nair and S.K. Bhattacharyya, Numerical Study of Water Impact of Rigid Sphere under the Action of Gravity CFD Application in Water Engineering, Bangalore, India, June 2013. Abstract only.

29-13 Amar Pal Singh, Faisal Bhat, Ekta Gupta, 3-D Spillway Simulations of Ratle HEP (J&K) for the Assessment of Design Alternatives to be Tested in Model Studies, CFD Application in Water Engineering, Bangalore, India, June 2013.

28-13 Shun-Chung Tsung, Jihn-Sung Lai, and Der-Liang Young, Velocity distribution and discharge calculation at a sharp-crested weir, Paddy Water Environ, DOI 10.1007/s10333-013-0378-y, © Springer Japan 2013, May 2013.

27-13 Karen Riddette and David Ho, Assessment of Spillway Modeling Using Computational Fluid Dynamics, ANCOLD Proceedings of Technical Groups, 2013.

21-13 Tsung-Hsien Huang and Chyan-Deng Jan, Simulation of Velocity Distribution for Water Flow in a Vortex-Chamber-Type Sediment Extractor, EGU General Assembly 2013, held 7-12 April, 2013 in Vienna, Austria, id. EGU2013-7061. Online at: http://adsabs.harvard.edu/abs/2013EGUGA..15.7061H

19-13 Riley J. Olsen, Hazard Classification and Hydraulic Remediation Options for Flat-Topped and Ogee-Crested Low- Head Dams, Thesis: Master of Science in Civil and Environmental Engineering, Utah State University, All Graduate Theses and Dissertations. Paper 1538. http://digitalcommons.usu.edu/etd/1538, 2013.

17-13 Mohammad-Hossein Erfanain-Azmoudeh and Amir Abbas Kamanbedast, Determine the Appropriate Location of Aerator System on Gotvandolia Dam’s Spillway Using FLOW-3D, American-Eurasian J. Agric. & Environ. Sci., 13 (3): 378-383, 2013, ISSN 1818-6769, © IDOSI Publications, 2013.

13-13 Chia-Cheng Tsai, Yueh-Ting Lin, and Tai-Wen Hsu, On the weak viscous effect of the reflection and transmission over an arbitrary topography, Phys. Fluids 25, 043103 (2013); http://dx.doi.org/10.1063/1.4799099 (21 pages).

07-13 M. Kayser and M. A. Gabr, Scour Assessment of Bridge Foundations Using an In Situ Erosion Evaluation Probe (ISEEP), 92nd Transportation Research Board Annual Meeting, January 13-17, 2013, Washington, D.C.

06-13 Yovanni A. Cataño-Lopera, Blake J. Landry, Jorge D. Abad, and Marcelo H. García, Experimental and Numerical Study of the Flow Structure around Two Partially Buried Objects on a Deformed Bed, Journal of Hydraulic Engineering © ASCE /March 2013, 269-283.

04-13 Safinaz El-Solh, SPH Modeling of Solitary Waves and Resulting Hydrodynamic Forces on Vertical and Sloping Walls, Thesis: Master of Applied Science in Civil Engineering, Department of Civil Engineering, University of Ottawa, October 2012, © Safinaz El-Solh, Ottawa, Canada, 2013. Full paper available online at uOttawa.

108-12 Hatice Ozmen-Cagatay and Selahattin Kocaman, Investigation of Dam-Break Flow Over Abruptly Contracting Channel With Trapezoidal-Shaped Lateral Obstacles, Journal of Fluids Engineering © 2012 by ASME August 2012, Vol. 134 / 081204-1

102-12 B.M. Crookston, G.S. Paxson, and B.M. Savage, Hydraulic Performance of Labryinth Weirs for High Headwater Ratios, 4th IAHR International Symposium on Hydraulic Structures, 9-11 February 2012, Porto, Portugal, ISBN: 978-989-8509-01-7.

101-12 Jungseok Ho and Wonil Kim, Discrete Phase Modeling Study for Particle Motion in Storm Water Retention, KSCE Journal of Civil Engineering (2012) 16(6):1071-1078, DOI 10.1007/s12205-012-1304-3.

99-12 Charles R. Ortloff and Michael E. Mosely, Environmental change at a Late Archaic period site in north central coast Perú, Ñawpa Pacha, Journal of Andean Archaeology, Volume 32, Number 2 / December 2012, ISSN: 0077-6297 (Print); 2051-6207 (Online), Left Coast Press, Inc.

98-12 Tao Wang and Vincent H. Chu, Manning Friction in Steep Open-channel Flow, Seventh International Conference on Computational Fluid Dynamics (ICCFD7), Big Island, Hawaii, July 9-13, 2012.

96-12 Zhi Yong Dong, Qi Qi Chen, Yong Gang, and Bin Shi, Experimental and Numerical Study of Hydrodynamic Cavitation of Orifice Plates with Multiple Triangular Holes, Applied Mechanics and Materials, Volumes 256-259, Advances in Civil Engineering, December 2012.

95-12 Arjmandi H., Ghomeshi M., Ahadiayn J., and Goleij G., Prediction of Plunge Point in the Density Current using RNG Turbulence Modeling, Water and Soil Science (Agricultural Science) Spring 2012; 22(1):171-185. Abstract available online at the Scientific Online Database.

84-12 Li Ping Zhao, Jian Qiu Zhang, Lei Chen, Xuan Xie, Jun Qiang Cheng, Study of Hydrodynamic Characteristics of the Sloping Breakwater of Circular Protective Facing, Advanced Materials Research (Volumes 588 – 589), Advances in Mechanics Engineering, 1781-1785, 10.4028/www.scientific.net/AMR.588-589.1781.

83-12 Parviz Ghadimi, Abbas Dashtimanesh, and Seyed Reza Djeddi, Study of water entry of circular cylinder by using analytical and numerical solutions, J. Braz. Soc. Mech. Sci. & Eng. 2012, vol.34, n.3, pp. 225-232 . ISSN 1678-5878. http://dx.doi.org/10.1590/S1678-58782012000300001.

81-12 R. Gabl, S. Achleitner, A. Sendlhofer, T. Höckner, M. Schmitter and M. Aufleger, Side-channel spillway – Hybrid modeling, Hydraulic Measurements and Experimental Methods 2012, EWRI/ASCE, August 12-15, 2012, Snowbird, Utah.

80-12 Akin Aybar, Computational Modelling of Free Surface Flow in Intake Structures using FLOW-3D Software, Thesis: MS in Civil Engineering, The Graduate School of Natural and Applied Sciences of Middle East Technical University, June 2012.

74-12 Mahdi Shahrokhi, Fatemeh Rostami, Md Azlin Md Said, Saeed Reza Sabbagh Yazdi, and Syafalni Syafalni, Computational investigations of baffle configuration effects on the performance of primary sedimentation tanks, Water and Environment Journal, 22 October 2012, © 2012 CIWEM.

68-12 Jalal Attari and Mohammad Sarfaraz, Transitional Steps Zone in Steeply Stepped Spillways, 9th International Congress on Civil Engineering, May 8-10, 2012, Isfahan University of Technology (IUT), Isfahan, Iran

67-12 Mohammad Sarfaraz, Jalal Attari and Michael Pfister, Numerical Computation of Inception Point Location for Steeply Sloping Stepped Spillways, 9th International Congress on Civil Engineering, May 8-10, 2012, Isfahan University of Technology (IUT), Isfahan, Iran

62-12 Ehab A. Meselhe, Ioannis Georgiou, Mead A. Allison, John A McCorquodale, Numerical Modeling of Hydrodynamics and Sediment Transport in Lower Mississippi at a Proposed Delta Building Diversion, Journal of Hydrology, October 2012.

60-12 Markus Grünzner and Gerhard Haimerl, Numerical Simulation Downstream Attraction Flow at Danube Weir Donauwörth, 9th ISE 2012, Vienna, Austria.

59-12 M. Grünzner, A 3 Dimensional Numerical (LES) and Physical ‘Golf Ball’ Model in Comparison to 1 Dimensional Approach, Hydraulic Measurements and Experimental Methods 2012, EWRI/ASCE, August 12-15, 2012, Snowbird, Utah

58-12 Shawn P. Clark, Jonathan S. Toews, Martin Hunt and Rob Tkach, Physical and Numerical Modeling in Support of Fish Passage Regulations, 9th ISE 2012, Vienna, Austria.

57-12 Mahdi Shahrokhi, Fatemeh Rostami, Md Azlin Md Said, Syafalni, Numerical Modeling of Baffle Location Effects on the Flow Pattern of Primary Sedimentation Tanks, Applied Mathematical Modelling, Available online October 2012, http://dx.doi.org/10.1016/j.apm.2012.09.060.

50-12 Gricelda Ramirez, A Virtual Flow Meter to Develop Velocity-Index Ratings and Evaluate the Effect of Flow Disturbances on these Ratings, Master’s Thesis: Department of Civil Engineering in the Graduate College of the University of Illinois at Urbana-Champaign, 2012.

43-12 A. A. Girgidov, A. D. Girgidov and M. P. Fedorov, Use of dispersing springboards to reduce near-bottom velocity in a toe basin, Power Technology and Engineering (formerly Hydrotechnical Construction), Volume 46, Number 2 (2012), 113-115, DOI: 10.1007/s10749-012-0316-y.

40-12 Jong Pil Park, Kyung Sik Choi, Ji Hwan Jeong, Gyung Min Choi, Ju Yeop Park, and Man Woong Kim, Experimental and numerical evaluation of debris transport augmentation by turbulence during the recirculation-cooling phase, Nuclear Engineering and Design 250 (2012) 520-537

39-12 Hossein Basser, Abdollah Ardeshir, Hojat Karami, Numerical simulation of flow pattern around spur dikes series in rigid bed, 9th International Congress on Civil Engineering, May 8-10, 2012 Isfahan University of Technology (IUT), Isfahan, Iran

38-12 Sathaporn Temeepattanapongsa, Unified Equations for Cutthroat Flumes Derived from a Three-Dimensional Hydraulic Model, (2012). Thesis: Utah State University, All Graduate Theses and Dissertations. Paper 1308. Available online at: http://digitalcommons.usu.edu/etd/1308

36-12 Robert Feurich, Jacques Boubée, Nils Reidar B. Olsen, Improvement of fish passage in culverts using CFD, Ecological Engineering, Volume 47, October 2012, Pages 1–8.

35-12 Yovanni A. Cataño-Lopera and Jorge D. Abad, Flow Structure around a Partially Buried Object in a Simulated River Bed, World Environmental And Water Resources Congress 2012, Albuquerque, New Mexico, United States, May 20-24, 2012.

33-12 Fatemeh Rostami, Saeed Reza Sabbagh Yazdi, Md Azlin Md Said and Mahdi Shahrokhi, Numerical simulation of undular jumps on graveled bed using volume of fluid method, Water Science & Technology Vol 66 No 5 pp 909–917 © IWA Publishing 2012 doi:10.2166/wst.2012.213.

30-12 Saman Abbasi and Amir Abbas Kamanbedast, Investigation of Effect of Changes in Dimension and Hydraulic of Stepped Spillways for Maximization Energy Dissipation, World Applied Sciences Journal 18 (2): 261-267, 2012, ISSN 1818-4952, © IDOSI Publications, 2012, DOI: 10.5829/idosi.wasj.2012.18.02.492

24-12 Mario Oertel, Jan Mönkemöller and Andreas Schlenkhoff, Artificial stationary breaking surf waves in a physical and numerical model, Journal of Hydraulic Research, 50:3, 338-343, 2012.

23-12 Mario Oertel, Cross-bar block ramps:Flow regimes – flow resistance – energy dissipation – stability, thesis, Bericht Nr. 20, 2012, © 2011/12 Dr. Mario Oertel, Hydraulic Engineering Section, Bergische University of Wuppertal. Duplication only with author’s permission.

20-12 M. Oertel and A. Schlenkhoff, Crossbar Block Ramps: Flow Regimes, Energy Dissipation, Friction Factors, and Drag Forces, Journal of Hydraulic Engineering © ASCE, May 2012, pp. 440-448.

19-12 Mohsen Maghrebi, Saeed Alizadeh, and Rahim Lotfi, Numerical Simulation of Flow Over Rectangular Broad Crested Weir, 1st International and 3rd National Conference on Dams and Hydropower in Iran, Tehran, Iran, February 8 – February 9, 2012

18-12 Alireza Daneshkhah and Hamidreza Vosoughifar, Solution of Flow Field Equations to Investigate the Best Turbulent Model of Flow over a Standard Ogee Spillway, 1st International and 3rd National Conference on Dams and Hydropower in Iran, Tehran, Iran, February 8 – February 9, 2012

03-12 Hamed Taghizadeh, Seyed Ali Akbar Salehi Neyshabour and Firouz Ghasemzadeh, Dynamic Pressure Fluctuations in Stepped Three-Side Spillway, Iranica Journal of Energy & Environment 3 (1): 95-104, 2012, ISSN 2079-2115

02-12 Kim, Seojun, Yu, Kwonkyu, Yoon, Byungman, and Lim, Yoonsung, A numerical study on hydraulic characteristics in the ice Harbor-type fishway, KSCE Journal of Civil Engineering, 2012-02-01, Issn: 1226-7988, pp 265- 272, Volume: 16, Issue: 2, Doi: 10.1007/s12205-012-0010-5.

105-11 Hatice Ozmen Cagatay and Selahattin Kocaman, Dam-break Flow in the Presence of Obstacle: Experiment and CFD Simulation, Engineering Applications of Computational Fluid Mechancis, Vol. 5, No. 4, pp. 541-552, 2011

102-11 Sang Do An, Interflow Dynamics and Three-Dimensional Modeling of Turbid Density Currents in IMHA Reservoir, South Korea, thesis: Doctor of Philosophy, Department of Civil and Environmental Engineering at Colorado State University, 2011.

98-11 Selahattin Kocaman and Hasan Guzel, Numerical and Experimental Investigation of Dam-Break Wave on a Single Building Situated Downstream, Epoka Conference Systems, 1st International Balkans Conference on Challenges of Civil Engineering, 19-21 May 2011, EPOKA University, Tirana, Albania.

97-11 T. Endreny, L. Lautz, and D. I. Siegel, Hyporheic flow path response to hydraulic jumps at river steps: Flume and hydrodynamic models, WATER RESOURCES RESEARCH, VOL. 47, W02517, doi:10.1029/2009WR008631, 2011.

96-11 Mahdi Shahrokhi, Fatemeh Rostami, Md Azlin Md Said and Syafalni, Numerical Simulation of Influence of Inlet Configuration on Flow Pattern in Primary Rectangular Sedimentation Tanks, World Applied Sciences Journal 15 (7): 1024-1031, 2011, ISSN 1818-4952, © IDOSI Publications, 2011. Full article available online at IODSI.

94-11 Kathleen H. Frizell, Summary of Hydraulic Studies for Ladder and Flume Fishway Design- Nimbus Hatchery Fish Passage Project, Hydraulic Laboratory Report HL-2010-04, U.S. Department of the Interior Bureau of Reclamation Technical Service Center Hydraulic Investigations and Laboratory Services Group, December 2011

88-11 Abdelaziz, S, Bui, MD, Rutschmann, P, Numerical Investigation of Flow and Sediment Transport around a Circular Bridge Pier, Proceedings of the 34th World Congress of the International Association for Hydro- Environment Research and Engineering: 33rd Hydrology and Water Resources Symposium and 10th Conference on Hydraulics in Water Engineering, ACT: Engineers Australia, 2011: 2624-2630.

86-11 M. Heidarnejad, D. Halvai and M. Bina, The Proper Option for Discharge the Turbidity Current and Hydraulic Analysis of Dez Dam Reservoir, World Applied Sciences Journal 13 (9): 2052-2056, 2011, ISSN 1818-4952 © IDOSI Publications, 2011

84-11 Martina Reichstetter and Hubert Chanson, Physical and Numerical Modelling of Negative Surges in Open Channels, School of Civil Engineering at the University of Queensland, Report CH84/11, ISBN No. 9781742720388, © Reichstetter and Chanson, 2011.

83-11 Reda M. Abd El-Hady Rady, 2D-3D Modeling of Flow Over Sharp-Crested Weirs, Journal of Applied Sciences Research, 7(12): 2495-2505, ISSN 1819-544X, 2011.

78-11 S. Abbasi, A. Kamanbedast and J. Ahadian, Numerical Investigation of Angle and Geometric of L-Shape Groin on the Flow and Erosion Regime at River Bends, World Applied Sciences Journal 15 (2): 279-284, 2011, ISSN 1818-4952 © IDOSI Publications, 2011.

75-11 Mario Oertel and Daniel B. Bung, Initial stage of two-dimensional dam-break waves: laboratory versus VOF, Journal of Hydraulic Research, DOI: 10.1080/00221686.2011.639981, Available online: 08 Dec 2011.

73-11 T.N. Aziz and A.A. Khan, Simulation of Vertical Plane Turbulent Jet in Shallow Water, Advances in Civil Engineering, vol. 2011, Article ID 292904, 10 pages, 2011. doi:10.1155/2011/292904.

67-11 Chung R. Song, ASCE, Jinwon Kim, Ge Wang, and Alexander H.-D. Cheng, Reducing Erosion of Earthen Levees Using Engineered Flood Wall Surface, Journal of Geotechnical and Geoenvironmental Engineering, Vol. 137, No. 10, October 2011, pp. 874-881, http://dx.doi.org/10.1061/(ASCE)GT.1943-5606.0000500.

64-11 Mahdi Shahrokhi, Fatemeh Rostami, Md Azlin Md Said, Syafalni, The Effect of Number of Baffles on the Improvement Efficiency of Primary Sedimentation Tanks, Available online 11 November 2011, ISSN 0307-904X, 10.1016/j.apm.2011.11.001.

62-11 Jana Hadler, Klaus Broekel, Low head hydropower – its design and economic potential, World Renewable Energy Congress 2011, Sweden, May 8-13, 2011.

60-11 Md. Imtiaj Hassan and Nahidul Khan, Performance of a Quarter-Pitch Twisted Savonius Turbine, The International Conference and Utility Exhibition 2011, Pattaya City, Thailand, 28-30 September 2011.

59-11 Erin K. Gleason, Ashraful Islam, Liaqat Khan, Darrne Brinker and Mike Miller, Spillway Analysis Techniques Using Traditional and 3-D Computational Fluid Dynamics Modeling, Dam Safety 2011, National Harbor, MD, September 25-29, 2011.

58-11 William Rahmeyer, Steve Barfuss, and Bruce Savage, Composite Modeling of Hydraulic Structures, Dam Safety 2011, National Harbor, MD, September 25-29, 2011.

57-11 B. Dasgupta, K. Das, D. Basu, and R. Green, Computational Methodology to Predict Rock Block Erosion in Plunge Pools, Dam Safety 2011, National Harbor, MD, September 25-29, 2011.

56-11 Jeff Burnham, Modeling Dams with Computational Fluid Dynamics- Past Success and New Directions, Dam Safety 2011, National Harbor, MD, September 25-29, 2011.

52-11 Madhi Shahrokhi, Fatemeh Rostami, Md Azlin Md Said, and Syafalni, The Computational Modeling of Baffle Configuration in the Primary Sedimentation Tanks, 2011 2nd International Conference on Environmental Science and Technology IPCBEE vol 6. (2011) IACSIT Press, Singapore.

47-11 Stefan Haun, Nils Reidar B. Olsen and Robert Feurich, Numerical Modeling of Flow over Trapezoidal Broad-Crested Weir, Engineering Applications of Computational Fluid Mechanics Vol 5., No. 3, pp. 397-405, 2011.

42-11 Anu Acharya, Experimental Study and Numerical Simulation of Flow and Sediment Transport around a Series of Spur Dikes, thesis: The University of Arizona Graduate College, Copyright © Anu Acharya 2011, July 2011.

38-11 Mehdi Shahosseini, Amirabbas Kamanbedast and Roozbeh Aghamajidi, Investigation of Hydraulic Conditions around Bridge Piers and Determination of Shear Stress using Numerical Methods, World Environmental and Water Resources Congress 2011, © ASCE 2011.

35-11 L. Toombes and H. Chanson, Numerical Limitations of Hydraulic Models, 34th IAHR World Congress, 33rd Hydrology & Water Resources Symposium, 10th Hydraulics Conference, Brisbane, Australia, 26 June – 1 July 2011.

34-11 Mohammad Sarfaraz, and Jalal Attari, Numerical Simulation of Uniform Flow Region over a Steeply Sloping Stepped Spillway, 6th National Congress on Civil Engineering, Semnan University, Semnan, Iran, April 26-27, 2011.

30-11 John Richardson and Pamela Waterman, Stemming the Flood, Mechanical Engineering, Vol. 133/No.7 July 2011

29-11 G. Möller & R. Boes, D. Theiner & A. Fankhauser, G. De Cesare & A. Schleiss, Hybrid modeling of sediment management during drawdown of Räterichsboden reservoir, Dams and Reservoirs under Changing Challenges – Schleiss & Boes (Eds), © 2011 Taylor & Francis Group, London, ISBN 978-0-415-68267-1.

24-11 Liaqat A. Khan, Computational Fluid Dynamics Modeling of Emergency Overflows through an Energy Dissipation Structure of a Water Treatment Plant, ASCE Conf. Proc. doi:10.1061/41173(414)155, World Environmental and Water Resources Congress 2011.

23-11 Anu Acharya and Jennifer G. Duan, Three Dimensional Simulation of Flow Field around Series of Spur Dikes, ASCE Conf. Proc. doi:10.1061/41173(414)218, World Environmental and Water Resources Congress 2011.

22-11 Mehdi Shahosseini, Amirabbas Kamanbedast, and Roozbeh Aghamajidi, Investigation of Hydraulic Conditions around Bridge Piers and Determination of Shear Stress Using Numerical Method, ASCE Conf. Proc. doi:10.1061/41173(414)435, World Environmental and Water Resources Congress 2011.

20-11 Jong Pil Park, Ji Hwan Jeong, Won Tae Kim, Man Woong Kim and Ju Yeop Park, Debris transport evaluation during the blow-down phase of a LOCA using computational fluid dynamics, Nuclear Engineering and Design, June 2011, ISSN 0029-5493, DOI: 10.1016/j.nucengdes.2011.05.017.

13-11 Ehab A. Meselhe, Myrtle Grove Delta Building Diversion Project, The Geological Society of America, South-Central Section – 45th Annual Meeting, New Orleans, Louisiana, March 2011.

12-11 Bryan Heiner and Steven L. Barfuss, Parshall Flume and Discharge Corrections Wall Staff Gauge and Centerline Measurements, Journal of Irrigation and Drainage Engineering, posted ahead of print February 1, 2011, DOI:10.1061/(ASCE)IR.1943-4774.0000355, © 2011 by the American Society of Civil Engineers.

06-11 T. Endreny, L. Lautz, and D. Siegel, Hyporheic flow path response to hydraulic jumps at river steps- Hydrostatic model simulations, Water Resources Research, Vol. 47, W02518, doi: 10.1029/2010WR010014, 2011, © 2011 by the American Geophysical Union, 0043-1397/11/2010WR010014

03-11 Jinwon Kim, Chung R. Song, Ge Wang and Alexander H.-D. Cheng Reducing Erosion of Earthen Levees Using Engineered Flood Wall Surface, Journal of Geotechnical and Geoenvironmental Engineering, © ASCE, January 2011.

02-11 F. Montagna, G. Bellotti and M. Di Risio, 3D numerical modeling of landslide-generated tsunamis around a conical island, Springer Link, Earth and Environmental Science, Natural Hazards, DOI: 10.1007/s11069-010-9689-0, Online First™, 7 January 2011.

83-10 S. Abdelaziz, M.D. Bui and P. Rutschmann, Numerical simulation of scour development due to submerged horizontal jet, River Flow 2010, eds. Dittrich, Koll, Aberle & Geisenhainer, © 2010 Bundesanstalt für Wasserbau, ISBN 978-3-939230-00-7.

79-10 Daniel J. Howes, Charles M. Burt, and Brett F. Sanders, Subcritical Contraction for Improved Open-Channel Flow Measurement Accuracy with an Upward-Looking ADVM, J. Irrig. Drain Eng. 2010.136:617-626.

78-10 M. Kaheh, S. M. Kashefipour, and A. Dehghani, Comparison of k-ε and RNG k-ε Turbulent Models for Estimation of Velocity Profiles along the Hydraulic Jump, presented at the 6th International Symposium on Environmental Hydraulics, Athens, Greece, June 2010.

75-10 Shahrokh Amiraslani, Jafar Fahimi, Hossein Mehdinezhad, The Numerical Investigation of Free Falling Jet’s Effect on the Scour of Plunge Pool, XVIII International Conference on Water Resources CMWR 2010 J. Carrera (Ed) CIMNE, Barcelona 2010

74-10 M. Ho Ta Khanh, Truong Chi Hien, and Dinh Sy Quat, Study and construction of PK Weirs in Vietnam (2004 to 2011), 78th Annual Meeting of the International Commission on Large Dams, VNCOLD, Hanoi, Vietnam, May 23-26, 2010.

72-10 DKH Ho and KM Riddette, Application of computational fluid dynamics to evaluate hydraulic performance of spillways in Australia, © Institution of Engineers Australia, 2010, Australian Journal of Civil Engineering, Vol 6 No 1, 2010.

71-10 Cecilia Lucino, Sergio Liscia y Gonzalo Duro, Vortex Detection in Pump Sumps by Means of CFD, XXIV Latin American Congress on Hydraulics, Punta Del Este, Uruguay, November 2010; Deteccion de Vortices en Darsenas de Bombeo Mediante Modelacion Matematica. Available in English and Spanish.

64-10 Jose (Pepe) Vasquez, Assessing Sediment Movement by CFD Particle Tracking, 2nd Joint Federal Interagency Conference, Las Vegas, Nevada, June 27-July 1, 2010.

63-10 Sung-Min Cho, Foundation Design of the Incheon Bridge, Geotechnical Engineering Journal of the SEAGS & AGSSEA Vol 41 No.4, ISSN0046-5828, December 2010.

61-10 I. Meireles, F.A. Bombardelli and J. Matos, Experimental and Numerical Investigation of the Non-Aerated Skimming Flow on Stepped Spillways Over Embankment Dams, Presented at the 2010 IAHR European Congress, Edinburgh, UK, May 4-6, 2010.

60-10 Mario Oertel, G. Heinz and A. Schlenkhoff, Physical and Numerical Modelling of Rough Ramps and Slides, Presented at the 2010 IAHR European Congress, Edinburgh, UK, May 4-6, 2010.

59-10 Fatemeh Rostami, Mahdi Shahrokhi, Md Azlin Md Said, Rozi Abdullah and Syafalni, Numerical modeling on inlet aperture effects on flow pattern in primary settling tanks, Applied Mathematical Modelling, Copyright © 2010 Elsevier Inc., DOI: 10.1016/j.apm.2010.12.007, December 2010.

56-10 G. B. Sahoo, F Bombardelli, D. Behrens and J.L. Largier, Estimation of Stratification and Mixing of a Closed River System Using FLOW-3D, American Geophysical Union, Fall Meeting 2010, abstract #H31G-1091

50-10 Sung-Duk Kim, Ho-Jin Lee and Sang-Do An, Improvement of hydraulic stability for spillway using CFD model, International Journal of the Physical Sciences Vol. 5(6), pp. 774-780, June 2010. Available online at http://www.academicjournals.org/IJPS, ISSN 1992

49-10 Md. Imtiaj Hassan, Tariq Iqbal, Nahidul Khan, Michael Hinchey, Vlastimil Masek, CFD Analysis of a Twisted Savonius Turbine, PKP Open Conference Systems, IEEE Newfoundland and Labrador Section, October 2010

46-10 Hatice Ozmen-Cagatay and Selahattin Kocaman, Dam-break flows during initial stage using SWE and RANS approaches, Journal of Hydraulic Research, Vol 48, No. 5 (2010), pp. 603-611, doi: 10.108/00221686.2010.507342, © 2010 International Association for Hydro-Environment Engineering and Research.

44-10 Marie-Hélène Briand, Catherine Tremblay, Yannick Bossé, Julian Gacek, Carola Alfaro, and Richard Blanchet, Ashlu Creek hydroelectric project- Design and optimization of hydraulic structures under construction, CDA 2010 Annual Conference, Congrès annuel 2010 de l’A CB, Niagra Falls, ON, Canada, 2010 Oct 2-7.

43-10 Gordon McPhail, Justin Lacelle, Bert Smith, and Dave MacMillan, Upgrading of Boundary Dam Spillway, CDA 2010 Annual Conference, Congrès annuel 2010 de l’A CB, Niagra Falls, ON, Canada, 2010 Oct 2-7.

40-10 Selahattin Kocamana; Galip Seckinb; Kutsi S. Erduran, 3D model for prediction of flow profiles around bridges, DOI: 10.1080/00221686.2010.507340, Journal of Hydraulic Research, Volume 48, Issue 4 August 2010, pages 521 – 525. Available online at: informaworld

38-10 Kevin M. Sydor and Pamela J. Waterman, Engineering and Design: The Value of CFD Modeling in Designing a Hydro Plant, Hydro Review, Volume 29, Issue 6, September 2010 Available online at HydroWorld.com

33-10 Fabián A. Bombardelli, Inês Meireles and Jorge Matos, Laboratory measurements and multi-block numerical simulations of the mean flow and turbulence, SpringerLink, Environmental Fluid Mechanics, Online First™, 26 August 2010

30-10 Bijan Dargahi, Flow characteristics of bottom outlets with moving gates, IAHR, Journal of Hydraulic Research, Vol. 48, No. 4 (2010), pp. 476-482, doi: 10.1080/00221686.20101.507001, © 2010 International Association for Hydro-Environment Engineering and Research

24-10 Shuang Ming Wang and Kevin Sydor, Power Intake Velocity Modeling Using FLOW-3D at Kelsey Generating Station, Canadian Dam Association Bulletin, Vol. 21. No. 2, Spring 2010, pp: 16-21

20-10 Jungseok Ho, Todd Marti and Julie Coonrod, Flood debris filtering structure for urban storm water treatment, DOI: 10.1080/00221686.2010.481834, Journal of Hydraulic Research, Volume 48, Issue 3, pages 320 – 328, June 2010.

16-10 J. Jacobsen and N. R. B. Olsen, Three-dimensional numerical modeling of the capacity for a complex spillway, Proceedings of the ICE – Water Management, Volume 163, Issue 6, pages 283 –288, ISSN: 1741-7589, E-ISSN: 1751-7729.

13-10 J. Ho, J. Coonrod, L. J. Hanna, B. W. Mefford, Hydrodynamic modelling study of a fish exclusion system for a river diversion, River Research and Applications Volume 9999, mIssue 9999, Copyright © 2005 John Wiley & Sons, Ltd.

12-10 Nils Rüther, Jens Jacobsen, Nils Reidar B. Olsen and Geir Vatne, Prediction of the three-dimensional flow field and bed shear stresses in a regulated river in mid-Norway, Hydrology Research Vol 41 No 2 pp 145–152 © IWA Publishing 2010, doi:10.2166/nh.2010.064.

11-10 Xing Fang, Shoudong Jiang, and Shoeb R. Alam, Numerical Simulations of Efficiency of Curb-Opening Inlets, J. Hydr. Engrg. Volume 136, Issue 1, pp. 62-66 (January 2010).

54-09 K.W. Frizell, J.P. Kubitschek, and R.F. Einhellig, Folsom Dam Joint Federal Project Existing Spillway Modeling – Discharge Capacity Studies, American River Division Central Valley Project Mid-Pacific Region, Hydraulic Laboratory Report HL-2009-02, US Department of the Interior, Bureau of Reclamation, Denver, Colorado, September 2009

50-09 Mark Fabian, Variation in Hyporheic Exchange with Discharge and Slope in a Tropical Mountain Stream, thesis: State University of New York, College of Environmental Science & Forestry, 2009. Available online: http://gradworks.umi.com/14/82/1482174.html.

48-09 Junwoo Choi, Kwang Oh Ko, and Sung Bum Yoon, 3D Numerical Simulation for Equivalent Resistance Coefficient for Flooded Built-Up Areas, Asian and Pacific Coasts 2009 (pp 245-251), Proceedings of the 5th International Conference on APAC 2009, Singapore, 13 – 16 October 2009

47-09 Young-Il Kim, Chang-Jin Ahn, Chae-Young Lee, Byung-Uk Bae, Computational Fluid Dynamics for Optimal Design of Horizontal-Flow Baffled-Channel Powdered Activated Carbon Contactors, Mary Ann Liebert, Inc. publishers, Volume: 26 Issue 1: January 15, 2009.

43-09 Charles R. Ortloff, Water Engineering in the Ancient World: Archaeological and Climate Perspectives on Societies of Ancient South America, Meso-America, the Middle East and South East Asia, Oxford University Press, ISBN13: 978-0-19-923909-2ISBN10: 0-19-923909-6, December 2009 Available at Oxford University Press (clicking on this link will take you to OUP’s website).

40-09 Ge Wang, Chung R. Song, Jinwon Kim and Alexander, H.-D Cheng, Numerical Study of Erosion-proof of Loose Sand in an Overtopped Plunging Scour Process — FLOW-3D, The 2009 Joint ASCE-ASME-SES Conference on Mechanics and Materials, Blacksburg, Virginia, June 24-27, 2009

39-09 Charles R. Ortloff, Water Engineering in the Ancient World: Archaeological and Climate Perspectives on Societies of Ancient South America, the Middle East, and South-East Asia(Hardcover), Oxford University Press, USA (October 15, 2009), ISBN-10: 0199239096; ISBN-13: 978-0199239092 Buy Water Engineering in the Ancient World on Amazon.com.

38-09 David S. Brown, Don MacDonell, Kevin Sydor, and Nicolas Barnes, An Integrated Computational Fluid Dynamics and Fish Habitat Suitability Model for the Pointe Du Bois Generating Station, CDA 2009 Annual Conference, Congres annuel 2009 de l’A CB, Whistler, BC, Canada, 2009 Oct 3-8, pdf pages: 53-66

37-09 Warren Gendzelevich, Andrew Baryla, Joe Groenveld, and Doug McNeil, Red River Floodway Expansion Project-Design and Construction of the Outlet Structure, CDA 2009 Annual Conference, Congres annuel 2009 de l’A CB, Whistler, BC, Canada, 2009 Oct 3-8, pdf pages: 13-26

36-09 Jose A. Vasquez and Jose J. Roncal, Testing River2D and FLOW-3D for Sudden Dam-Break Flow Simulations, CDA 2009 Annual Conference, Congres annuel 2009 de l’A CB, Whistler, BC, Canada, 2009 Oct 3-8, pdf pages: 44-55

33-09 Pamela J. Waterman, Modeling Commercial Aquaculture Systems Employing FLOW-3D, (clicking on this link will take you to Desktop Engineering’s website) Desktop Engineering, November 2009

29-09 Bruce M. Savage, Michael C. Johnson, Brett Towler, Hydrodynamic Forces on a Spillway- Can we calculate them?, Dam Safety 2009, Hollywood, FL, USA, October 2009

27-09 Charles “Chick” Sweeney, Keith Moen, and Daniel Kirschbaum, Hydraulic Design of Total Dissolved Gas Mitigation Measures for Boundary Dam, Waterpower XVI, © PennWell Corporation, Spokane, WA, USA, July 2009

23-09 J.A. Vasquez and B.W. Walsh, CFD simulation of local scour in complex piers under tidal flow, 33rd IAHR Congress: Water Engineering for a Sustainable Environment, © 2009 by International Association of Hydraulic Engineering & Research (IAHR), ISBN: 978-94-90365-01-1

15-09 Kaushik Das, Steve Green, Debashis Basu, Ron Janetzke, and John Stamatakos, Effect of Slide Deformation and Geometry on Waves Generated by Submarine Landslides- A Numerical Investigation, Copyright 2009, Offshore Technology Conference, Houston, Texas, USA, May 4-7, 2009

5-09 Remi Robbe, Douglas Sparks, Calculation of the Rating Curves for the Matawin Dam’s Bottom Sluice Gates using FLOW-3D, Conference of the Société Hydrotechnique de France (SHF), 20-21 January 2009, Paris, France. (in French)

4-09 Frederic Laugier, Gregory Guyot, Eric Valette, Benoit Blancher, Arnaud Oguic, Lily Lincker, Engineering Use of Hydrodynamic 3D Simulation to Assess Spillway Discharge Capacity, Conference of the Société Hydrotechnique de France (SHF), 20-21 January 2009, Paris, France. (in French)

50-08 H. Avila and R.Pitt, The Calibration and use of CFD Models to Examine Scour from Stormwater Treatment Devices – Hydrodynamic Analysis, 11th International Conference on Urban Drainage, Edinburgh, Scotland, UK, 2008

47-08 Greg Paxson, Brian Crookston, Bruce Savage, Blake Tullis, and Frederick Lux III, The Hydraulic Design Toolbox- Theory and Modeling for the Lake Townsend Spillway Replacement Project, Assoc. of State Dam Safety Officials (ASDSO), Indian Wells, CA, September 2008.

46-08 Sh. Amirslani, M. Pirestani and A.A.S. Neyshabouri, The 3D numerical simulation of scour by free falling jet and compare geometric parameters of scour hole with DOT, River flow 2008-Altinakar, Kokipar, Gogus, Tayfur, Kumcu & Yildirim (eds) © 2008 Kubaba Congress Department and Travel Services ISBN 978-605-601360201

41-08 Jinwei Qiu, Gravel transport estimation and flow simulation over low-water stream crossings, thesis: Lamar University – Beaumont, 2008, 255 pages; AAT 3415945

37-08 Dae-Geun Kim, Numerical analysis of free flow past a sluice gate, KSCE Journal of Civil Engineering, Volume 11, Number 2 / March, 2007, 127-132.

36-08 Shuang Ming Wang and Kevin Sydor, Power Intake Velocity Modeling using FLOW-3D at Kelsey Generating Station, CDA 2008 Annual Conference, Congres annuel 2008 de l’ACB, Winnipeg, MB, Canada, September 27-October 2, 2008, du 27 septembre au 2 octobre 2008

33-08 Daniel B. Bung, Arndt Hildebrandt, Mario Oertel, Andreas Schlenkhoff and Torsten Schlurmann, Bore Propagation Over a Submerged Horizontal Plate by Physical and Numerical Simulation, ICCE 2008, Hamburg, Germany

32-08 Paul G. Chanel and John C. Doering, Assessment of Spillway Modeling Using Computational Fluid Dynamics, Canadian Journal of Civil Engineering, 35: 1481-1485 (2008), doi: 10.1139/L08-094 © NRC Canada

31-08 M. Oertel & A. Schlenkhoff, Flood wave propagation and flooding of underground facilities, River Flow 2008, © 2008, International Conference on Fluvial Hydraulics, Izmir, Turkey, September, 2008

18-08 Efrem Teklemariam, Bernie Shumilak, Don Murray, and Graham K. Holder, Combining Computational and Physical Modeling to Design the Keeyask Station, Hydro Review, © HCI Publications, July 2008

15-08 Jorge D. Abad; Bruce L. Rhoads; İnci Güneralp; and Marcelo H. García, Flow Structure at Different Stages in a Meander-Bend with Bendway Weirs, Journal of Hydraulic Engineering © ASCE, August 2008

11-08 Sreenivasa C. Chopakatla, Thomas C. Lippmann and John E. Richardson, Field Verification of a Computational Fluid Dynamics Model for Wave Transformation and Breaking in the Surf Zone, J. Wtrwy., Port, Coast., and Oc. Engrg., Volume 134, Issue 2, pp. 71-80 (March/April 2008) Abstract Only

51-07 Richmond MC, TJ Carlson, JA Serkowski, CB Cook, JP Duncan, and WA Perkins, Characterizing the Fish Passage Environment at The Dalles Dam Spillway: 2001-2004, PNNL-16521, Pacific Northwest National Laboratory, Richland, WA, 2007. Available upon request

46-07 Uplift and Crack Flow Resulting from High Velocity Discharges Over Open Offset Joints, Reclamation, Managing Water in the West, U.S. Department of the Interior, Bureau of Reclamation, Report DSO-07-07, December 2007

45-07 Selahattin Kocaman, thesis: Department of Civil Engineering, Institute of Natural and Applied Sciences, University of Çukurova, Experimental and Theoretical Investigation of Dam Break Problem, 2007. In Turkish. Available on request.

44-07 Saeed-reza Sabbagh-yazdi, Fatemeh Rostami, Habib Rezaei-manizani, and Nikos E. Mastorakis, Comparison of the Results of 2D and 3D Numerical Modeling of Flow over Spillway chutes with Vertical Curvatures, International Journal of Computers, Issue 4, Volume 1, 2007.

43-07 Staša Vošnjak and Jure Mlacnik, Verification of a FLOW-3D mathematical model by a physical hydraulic model of a turbine intake structure, International Conference and exhibition Hydro 2007, 15- 17 October 2007, Granada, Spain. New approaches for a new era: proceedings. [S.l.]: Aqua-Media International Ltd., 2007, 7 str. [COBISS.SI-ID 4991329]

42-07 Merlynn D. Bender, Joseph P. Kubitschek, Tracy B. Vermeyen, Temperature Modeling of Folsom Lake, Lake Natoma, and the Lower American River, Special Report, Sacramento County, California, April 2007

37-07 Heather D. Smith, Flow and Sediment Dynamics Around Three-Dimensional Structures in Coastal Environments, thesis: The Ohio State Unviersity, 2007 (available upon request)

34-07 P.G. Chanel and J.C. Doering, An Evaluation of Computational Fluid Dynamics for Spillway Modeling, 16th Australasian Fluid Mechanics Conference, Gold Coast, Australia, December 2007

29-07 J. Groeneveld, C. Sweeney, C. Mannheim, C. Simonsen, S. Fry, K. Moen, Comparison of Intake Pressures in Physical and Numerical Models of the Cabinet Gorge Dam Tunnel, Waterpower XV, Copyright HCI Publications, July 2007

25-07 Jungseok Ho, Hong Koo Yeo, Julie Coonrod, Won-Sik Ahn, Numerical Modeling Study for Flow Pattern Changes Induced by Single Groyne, IAHR Conference Proc., Harmonizing the Demands of Art and Nature in Hydraulics, IAHR, July 2007, Venice, Italy.

24-07 Jungseok Ho, Julie Coonrod, Todd Marti, Storm Water Best Management Practice- Development of Debris Filtering Structure for Supercritical Flow, EWRI Conference Proc. of World Water and Environmental Resources Congress, ASCE, May 2007, Tampa, Florida.

21-07 David S. Mueller, and Chad R. Wagner, Correcting Acoustic Doppler Current Profiler Discharge Measurements Biased by Sediment Transport, Journal of Hydraulic Engineering, Volume 133, Issue 12, pp. 1329-1336 (December 2007), Copyright © 2007, ASCE. All rights reserved.

19-07 A. Richard Griffith, James H. Rutherford, A. Alavi, David D. Moore, J. Groeneveld, Stability Review of the Wanapum Spillway Using CFD Analysis, Canadian Dam Association Bulletin, Fall 2007

06-07 John E. Richardson, CFD Saves the Alewife- Computer simulation helps the Alewife return to its Mt. Desert Island spawning grounds, Desktop Engineering, July 2007; Hatchery International, July/August 2007

39-06 Dae Geun Kim and Hong Yeun Cho, Modeling the buoyant flow of heated water discharged from surface and submerged side outfalls in shallow and deep water with a cross flow, Environ Fluid Mech (2006) 6: 501. https://doi.org/10.1007/s10652-006-9006-3

38-06 Cook, C., B. Dibrani, M. Richmond, M. Bleich, P. Titzler, T. Fu, Hydraulic Characteristics of the Lower Snake River during Periods of Juvenile Fall Chinook Salmon Migration, 2002-2006 Final Report, Project No. 200202700, 176 electronic pages, (BPA Report DOE/BP-00000652-29)

37-06 Cook CB, MC Richmond, and JA Serkowski, The Dalles Dam, Columbia River: Spillway Improvement CFD Study, PNNL-14768, Pacific Northwest National Laboratory, Richland, WA, 2006. Available upon request

31-06 John P. Raiford and Abdul A. Khan, Numerical Modeling of Internal Flow Structure in Submerged Hydraulic Jumps, ASCE Conf. Proc. 200, 49 (2006), DOI:10.1061/40856(200)49

29-06 Michael C. Johnson and Bruce Savage, Physical and Numerical Comparison of Flow over Ogee Spillway in the Presence of Tailwater, Journal of Hydraulic Engineering © ASCE, December 2006

28-06 Greg Paxson and Bruce Savage, Labyrinth Spillways- Comparison of Two Popular U.S.A. Design Methods and Consideration of Non-standard Approach Conditions and Geometries, International Junior Researcher and Engineer Workshop on Hydraulic Structures, Report CH61/06, Div. of Civil Eng., The University of Queensland, Brisbane, Australia-ISBN 1864998687

22-06 Brent Mefford and Jim Higgs, Link River Falls Passage Investigation – Flow Velocity Simulation, Water Resources Research Laboratory, February 2006

27-06 Jungseok Ho, Leslie Hanna, Brent Mefford, and Julie Coonrod, Numerical Modeling Study for Fish Screen at River Intake Channel, EWRI Conference Proc. of World Water and Environmental Resources Congress, ASCE, May 2006, Omaha, Nebraska.

17-06 Woolgar, Robert and Eddy, Wilmore, Using Computational Fluid Dynamics to Address Fish Passage Concerns at the Grand Falls-Windsor Hydroelectric Development, Canadian Dam Association meeting, Quebec City, Canada October 2006

14-06 Fuamba, M., Role and behavior of surge chamber in hydropower- Case of the Robert Bourassa hydroelectric power plant in Quebec, Canada, Dams and Reservoirs, Societies and Environment in the 21st Century- Berga et al (eds) @ 2006 Taylor & Francis Group, London, ISBN 0 415 40423 1

13-06 D.K.H. Ho, B.W. Cooper, K.M. Riddette, S.M. Donohoo, Application of numerical modelling to spillways in Australia, Dams and Reservoirs, Societies and Environment in the 21st Century—Berga et al (eds) © 2006 Taylor & Francis Group, London, ISBN 0 415 40423 1

4-06 James Dexter, William Faisst, Mike Duer and Jerry Flanagan, Computer Simulation Helps Prevent Nitrification of Storage Reservoir, Waterworld, March 2006, pp 18-24

36-05 P. Coussot, N. Rousell, Jarny and H. Chanson, (2005), Continuous or Catastrophic Solid-Liquid Transition in Jammed Systems, Physics of Fluids, Vol. 17, No. 1, Article 011703, 4 pages (ISSN 0031-9171).

35-05 Dae Geun Kim and Jae Hyun Park, Analysis of Flow Structure over Ogee-Spillway in Consideration of Scale and Roughness Effects by Using CFD Model, KSCE Journal of Civil Engineering. Volume 9, Number 2, March 2005, pp 161 – 169.

31-05 Frank James Dworak, Characterizing Turbulence Structure along Woody Vegetated Banks in Incised Channels: Implications for Stream Restoration, thesis: The University of Tennessee, Knoxville, December 2005 (available upon request)

29-05 Gessler, Dan and Rasmussen, Bernie, Before the Flood, Desktop Engineering, October 2005

25-05 Jorge D. Abad and Marcelo H. Garcia, Hydrodynamics in Kinoshita-generated meandering bends- Importance for river-planform evolution, 4th IAHR Symposium on River, Coastal and Estuarine Morphodynamics, October 4-7, 2005, Urbana, Illinois

23-05 Kristiansen T., Baarholm R., Stansberg C.T., Rørtveit G.J. and Hansen E.W., Steep Wave Kinematics and Interaction with a Vertical Column, Presented at The Fifth International Symposium on Ocean Wave Measurement and Analysis (Waves 2005), Spain, July, 2005

16-05 Dan Gessler, CFD Modeling of Spillway Performance, Proceedings of the 2005 World Water and Environmental Resources Congress (sponsored by Environmental and Water Resources Institute of the American Society of Civil Engineers), May 15-19, 2005, Anchorage, Alaska

12-05 Charles Ortloff, The Water Supply and Distribution System of the Nabataean City of Petra (Jordan), 300 BC- AD 300, Cambridge Archaeological Journal 15:1, 93-109

33-04 Jose Carlos C. Amorim, Cavalcanti Renata Rodrigues, and Marcelo G. Marques, A Numerical and Experimental Study of Hydraulic Jump Stilling Basin, Advances in Hydro-Science and Engineering, Volume VI, Presented at the International Conference on Hydro-Science and Engineering, 2004

23-04 Jose F. Rodriguez, Fabian A. Bombardelli, Marcelo H. Garcia, Kelly Frothingham, Bruce L. Rhoads and Jorge D. Abad, High-Resolution Numerical Simulation of Flow Through a Highly Sinuous River Reach, Water Resources Management, 18:177-199, 2004.

18-04 John Richardson and Douglas Dixon, Modeling the Hydraulics Zone of Influence of Connecticut Yankee Nuclear Plants Cooling Water Intake Structure, a chapter in The Connecticut River Ecological Study (1965-1973) Revisited: Ecology of the Lower Connecticut River 1973-2003, Paul M. Jacobson, Douglas A. Dixon, William C. Leggett, Barton C. Marcy, Jr., and Ronald R. Massengill, editors; Published by American Fisheries Society, Publication date: November 2004, ISBN 1-888569-66-2

10-04 Bruce Savage, Kathleen Frizell, and Jimmy Crowder, Brains versus Brawn- The Changing World of Hydraulic Model Studies

7-04 C. B. Cook and M. C. Richmond, Monitoring and Simulating 3-D Density Currents and the Confluence of the Snake and Clearwater Rivers, Proceedings of EWRI World

24-03 David Ho, Karen Boyes, Shane Donohoo, and Brian Cooper, Numerical Flow Analysis for Spillways, 43rd ANCOLD Conference, Hobart, Tasmania, 24-29 October 2003

15-03 Ho, Dr K H, Boyes, S M, Donohoo, S M, Investigation of Spillway Behaviour Under Increased Maximum Flood by Computational Fluid Dynamics Technique, Proc Conf 14th Australian Fluid Mechanics, Adelaide, Australia, December 2001, 577-580

14-03 Ho, Dr K H, Donohoo, S M, Boyes, K M, Lock, C C, Numerical Analysis and the Real World- It Looks Pretty, but is It Right?, Proceedings of the NAFEMS World Congress, May 2003, Orlando, FL

13-03 Brethour, J. M., Sediment Scour, Flow Science Technical Note (FSI-03-TN62)

26-02 Sungyul Yoo, Kiwon Hong and Manha Hwang, A 3-dimensional numerical study of flow patterns around a multipurpose dam, 2002 Hydroinformatics Conference, Cardiff, Wales

23-02 Christopher B. Cook, Marshall C. Richmond, John A. Serkowski, and Laurie L. Ebner, Free-Surface Computational Fluid Dynamics Modeling of a Spillway and Tailrace- Case Study of The Dalles Project, Hydrovision 2002, 29 July -†2 Aug, 2002 Portland, OR

13-02 Efrem Teklemariam, Brian W. Korbaylo, Joe L. Groeneveld & David M. Fuchs, Computational Fluid Dynamics- Diverse Applications In Hydropower Project’s Design and Analysis, June 11-14, 2002, CWRA 55th Annual Conference, Winnipeg, Manitoba, CA

12-02 Snorre Heimsund, Ernst Hansen, W Nemec, Computational 3-D Fluid Dynamics Model for Sediment Transport, Erosion, and Deposition by Turbidity Currents, 16th International Sedimentological Congress Abstract Volume (2002) XX-XX

9-02 D. T. Souders & C. W. Hirt, Modeling Roughness Effects in Open Channel Flows, Flow Science Technical Note (FSI-02-TN60), May 2002

47-01 Fabián A. Bombardelli and Marcelo H. García, Three-dimensional Hydrodynamic Modeling of Density Currents in the Chicago River, Illinois, CIVIL ENGINEERING SERIES, UILU-ENG-01-2001 Hydraulic Engineering Series No. # 68, ISSN: 0442-1744, 2001

44-01 Christopher B. Cook and Marshall C. Richmond, Simulation of Tailrace Hydrodynamics Using Computational Fluid Dynamics Models, Report Number: PNNL-13467, May 2001

40-01 Joe L. Groeneveld, Kevin M. Sydor and David M. Fuchs (Acres Manitoba Ltd., Winnipeg, Manitoba, Canada) and Efrem Teklemariam and Brian W. Korbaylo (Manitoba Hydro, Winnipeg, Manitoba, Canada), Optimization of Hydraulic Design Using Computational Fluid Dynamics, Waterpower XII, July 9-11, 2001, Salt Lake City, Utah

39-01 Savage, B.M and Johnson, M.C., Flow over Ogee Spillway- Physical and Numerical Model Case Study, Journal of Hydraulic Engineering, ASCE, August 2001, pp. 640-649

38-01 Newell, Carter, Sustainable Mussel Culture- A Millenial Perspective, Bulletin of the Aquaculture Association of Canada, August 2001, pp 15-21

36-01 Diane L. Foster, Ohio State University, Numerical Simulations of Sediment Transport and Scour Around Mines, paper presented to the Office of Naval Research, Mine Burial Prediction Program, 2001

35-01 Heather D. Smith, Diane L. Foster, Ohio State University, The Modeling of Flow Around a Cylinder and Scour Hole, Poster prepared for the Office of Naval Research, Mine Burial Prediction Program, 2002

28-01 Brethour, J.M., Transient 3D Model for Lifting, Transporting, and Depositing Solid Material, Proc. 3rd Intrn. Environmental Hydraulics, Dec. 5-8, 2001, Tempe, AZ

25-01 Yuichi Kitamura, Takahiro Kato, & Petek Kitamura, Mathematical Modeling for Fish Adaptive Behavior in a Current, Proceedings of the 2001International Symposium of Environmental Hydraulics, Chigaski R&D Center

22-01 C. R. Ortloff, D. P. Crouch, The Urban Water Supply and Distribution System of the Ionian City of Ephesos in the Roman Imperial Period, CTC/United Defense Journal of Archeological Science (2001), pp 843-860

13-01 I. Lavedrine, and Darren Woolf, ARUP Research and Development, Application of CFD Modelling to Hydraulic Structures, CCWI 2001, Leicaster United Kingdom, 3-5 September 2001, De Montfort University

4-01 Rodriguez, Garcia, Bombardelli, Guzman, Rhoads, and Herricks, Naturalization of Urban Streams Using In-Channel Structures, Joint Conference on Water Resources Engineering and Water Resources Planning and Management, ASCE, July 30-August 2, 2000, Minneapolis, Minnesota

27-00 Tony L. Wahl, John A. Replogle, Brain T. Wahlin, and James A. Higgs, New Developments in Design and Application of Long-Throated Flumes, 2000 Joint Conference on Water Resources Engineering and Water Resources Planning & Management, Minneapolis, Minnesota, July 30-August 2, 2000.

5-00 John E. Richardson and Karel Pryl, Computer Simulation Helps Prague Modernize and Expand Sewer System, Water Engineering and Management, June, 2000, pp. 10-13; and in Municipal World, June, 2000, pp. 19-20,30

3-00 Efrem Teklemariam and John L. Groeneveld, Solving Problems in Design and Dam Safety with Computational Fluid Dynamics, Hydro Review, May, 2000, pp.48-52

1-00 Scott F. Bradford, Numerical Simulation of Surf Zone Dynamics, Journal of Waterway, Port, Coastal and Ocean Engineering, January/February, 2000, pp.1-13

9-99 John E. Richardson and Karel Pryl, Computational Fluid Dynamics, CE News, October, 1999, pp. 74-76

4-99 J. Groeneveld, Computer Simulation Leads to Faster, Cheaper Options, Water Engineering & Management magazine, pp.14-17, June 1999

16-98 C. R. Ortloff, Hydraulic Analysis of a Self-Cleaning Drainage Outlet at the Hellenistic City of Priene, Journal Archaeological Science, 25, 1211-1220, Article No. as980292, 1998

13-98 J. F. Echols, M.A. Pratt, K. A. Williams, Using CFD to Model Flow in Large Circulating Water Systems, Proc. PowerGen International, Orlando, FL, Dec. 9-11, 1998.

12-98 K. A. Williams, I. A. Diaz-Tous, P. Ulovg, Reduction in Pumping Power Requirements of the Circulation Water (CW) System at TU Electric’s Martin Lake Plant Using Computation Fluid Dynamics (CFD), ASME Mechanical Engineering Magazine, Jan. 1999

8-98 D. Hrabak, K. Pryl, J. Richardson, Calibration of Flowmeters using FLOW-3D Software, Hydroinform, a.s., Prague, CTU Prague, Flow Science Inc, USA, proceedings from the 3rd International Novatech Conference, Lyon, France, May 4-6, 1998

16-96 E. J. Kent and J.E. Richardson, Three-Dimensional Hydraulic Analysis for Calculation of Scour at Bridge Piers with Fender Systems, Earth Tech, Concord, NK and Flow Science Inc, Los Alamos, NM report, December 1996

12-96 J. E. Richardson, Control of Hydraulic Jump by Abrupt Drop, XXVII IAHR Congress, Water for a Changing Global Community, San Francisco, August 10, 1997

6-96 Y. Miyamoto, A Three-Dimensional Analysis around the Open Area of a Tsunami Breakwater, technical report, SEA Corporation, Tokyo, Japan, to be presented at the HYDROINFORMATICS 96 Conference, Zurich, Switzerland, Sept. 11-13, 1996

4-95 J. E. Richardson, V. G. Panchang and E. Kent, Three-Dimensional Numerical Simulation of Flow Around Bridge Sub-structures, presented at the Hydraulics ’95 ASCE Conference, San Antonio, TX, Aug. 1995

3-95 Y. Miyamoto and K. Ishino, Three Dimensional Flow Analysis in Open Channel, presented at the IAHR Conference, HYDRA 2000, Vol. 1, Thomas Telford, London, Sept. 1995

16-94 M. S. Gosselin and D. M. Sheppard, Time Rate of Local Scour, proceedings of ASCE Conf. on Water Resources Engineering, San Antonio, TX, August 1994

8-94 C. W. Hirt, Weir Discharges and Counter Currents, Flow Science report, FSI-94-00-3, to be presented at the Hydroinformatics Conference, IHE Delft, The Netherlands, Sept. 1994

7-94 C. W. Hirt and K. A.Williams, FLOW-3D Predictions for Free Discharge and Submerged Parshall Flumes, Flow Science Technical Note #40, August 1994 (FSI-94-TN40)

11-93 K. Ishino, H. Otani, R. Okada and Y. Nakagawa, The Flow Structure Around a Cylindrical Pier for the Flow of Transcritical Reynolds Number, Taisei Corp., Honshu Shikoku Bridge Authority, Akashi Kaikyo Ohashi Substructure Construction, Proc. XXV, Congress Intern. Assoc. Hydraulic Res., V, 417-424 (1993) Tokyo, Japan

6-87 J.M. Sicilian, A FLOW-3D Model for Flow in a Water Turbine Passage, Flow Science report, July 1987 (FSI-87-36-1)

Water Rivers Bridge Piers

Bridge Piers

FLOW-3D의 Sediment Scour Model 은 강이나 하천에서 수리학적으로 복잡한 교각과 지형에 따라 여러가지 퇴적물들의 높이 변화를 해석할 수 있습니다. 세굴 모델은 FLOW-3D 난류 모델들로 적분하여 3차원 분석이 가능합니다. FLOW-3D의 Shallow Water Model로 더 넓은 범위의 세굴 분석이 가능합니다.

교각 주위의 세굴 해석

세굴 모델은 deposition, packing, entrainment and drift-flux 메커니즘으로 되어있습니다. FLOW-3D v11 에서는 퇴적층의 형상을 FAVOR 하여 좀 더 정확하게 bed net 높이 변화를 시각화 할 수 있습니다. 시공간적으로 침전물의 변화뿐 아니라 유체의 부유물들, 바닥/유체 계면에서의 전단응력들을 분석할 수 있습니다.

Modeling Hydraulic Control Structures

In addition to the flow rates and detail of hydraulic behaviors associated with the control gate structures and powerhouse operation, FLOW-3D‘s sediment and scour model allows users to identify regions of high scour both near the control structure and further downstream in the vicinity of the bridge piers.

Bridge Pier Simulations

The first video shows a FLOW-3D simulation of the erosion that occurs around a group of three 2.4 m diameter piers as river water flows past at 1.5 m/s. The river depth is 15.8 m and the mean sediment size was presumed to be 0.35 mm.

FLOW-3D/MP Features List

FLOW-3D/MP Features

FLOW-3D/MP v6.1 은 FLOW-3D v11.1 솔버에 기초하여 물리 모델, 특징 및 그래픽 사용자 인터페이스가 동일합니다. FLOW-3D v11.1의 새로운 기능은 아래 파란색으로 표시되어 있으며 FLOW-3D/MP v6.1 에서 사용할 수 있습니다. 새로운 개발 기능에 대한 자세한 설명은 FLOW-3D v11.1에서 새로운 기능을 참조하십시오.

Meshing & Geometry

Structured finite difference/control volume meshes for fluid and thermal solutions
Finite element meshes in Cartesian and cylindrical coordinates for structural analysis
Multi-Block gridding with nested, linked, partially overlapping and conforming mesh blocks
Fractional areas/volumes (FAVOR™) for efficient & accurate geometry definition
Mesh quality checking
Basic Solids Modeler
Import CAD data
Import/export finite element meshes via Exodus-II file format
Grid & geometry independence
Cartesian or cylindrical coordinates

Flow Type Options

Internal, external & free-surface flows
3D, 2D & 1D problems
Transient flows
Inviscid, viscous laminar & turbulent flows
Hybrid shallow water/3D flows
Non-inertial reference frame motion
Multiple scalar species
Two-phase flows
Heat transfer with phase change
Saturated & unsaturated porous media

Physical Modeling Options

Fluid structure interaction
Thermally-induced stresses
Plastic deformation of solids
Granular flow
Moisture drying
Solid solute dissolution
Sediment transport and scour
Cavitation (potential, passive tracking, active tracking)
Phase change (liquid-vapor, liquid-solid)
Surface tension
Thermocapillary effects
Wall adhesion
Wall roughness
Vapor & gas bubbles
Solidification & melting
Mass/momentum/energy sources
Shear, density & temperature-dependent viscosity
Thixotropic viscosity
Visco-elastic-plastic fluids
Elastic membranes & walls
Evaporation residue
Electro-mechanical effects
Dielectric phenomena
Electro-osmosis
Electrostatic particles
Joule heating
Air entrainment
Molecular & turbulent diffusion
Temperature-dependent material properties
Spray cooling

Flow Definition Options

General boundary conditions
- Symmetry
- Rigid and flexible walls
- Continuative
- Periodic
- Specified pressure
- Specified velocity
- Outflow
- Grid overlay
- Hydrostatic pressure
- Volume flow rate
- Non-linear periodic and solitary surface waves
- Rating curve and natural hydraulics
- Wave absorbing layer
Restart from previous simulation
Continuation of a simulation
Overlay boundary conditions
Change mesh and modeling options
Change model parameters

Thermal Modeling Options

Natural convection
Forced convection
Conduction in fluid & solid
Fluid-solid heat transfer
Distributed energy sources/sinks in fluids and solids
Radiation
Viscous heating
Orthotropic thermal conductivity
Thermally-induced stresses

Turbulence Models

RNG model
Two-equation k-epsilon model
Two-equation k-omega model
Large eddy simulation

Metal Casting Models

Thermal stress & deformations
Iron solidification
Sand core blowing
Sand core drying
Permeable molds
Solidification & melting
Solidification shrinkage with interdendritic feeding
Micro & macro porosity
Binary alloy segregation
Thermal die cycling
Surface oxide defects
Cavitation potential
Lost-foam casting
Semi-solid material
Core gas generation
Back pressure & vents
Shot sleeves
PQ² diagram
Squeeze pins
Filters
Air entrainment
Temperature-dependent material properties
Cooling channels
Fluid/wall contact time

Numerical Modeling Options

TruVOF Volume-of-Fluid (VOF) method for fluid interfaces
First and second order advection
Sharp and diffuse interface tracking
Implicit & explicit numerical methods
GMRES, point and line relaxation pressure solvers
User-defined variables, subroutines & output
Utilities for runtime interaction during execution

Fluid Modeling Options

One incompressible fluid – confined or with free surfaces
Two incompressible fluids – miscible or with sharp interfaces
Compressible fluid – subsonic, transonic, supersonic
Stratified fluid
Acoustic phenomena
Mass particles with variable density or diameter

Shallow Flow Models

General topography
Raster data interface
Subcomponent-specific surface roughness
Wind shear
Ground roughness effects
Laminar & turbulent flow
Sediment transport and scour
Surface tension
Heat transfer
Wetting & drying

Advanced Physical Models

General Moving Object model with 6 DOF–prescribed and fully-coupled motion
Rotating/spinning objects
Collision model
Tethered moving objects (springs, ropes, mooring lines)
Flexing membranes and walls
Porosity
Finite element based elastic-plastic deformation
Finite element based thermal stress evolution due to thermal changes in a solidifying fluid
Combusting solid components

Chemistry Models

Stiff equation solver for chemical rate equations
Stationary or advected species

Porous Media Models

Saturated and unsaturated flow
Variable porosity
Directional porosity
General flow losses (linear & quadratic)
Capillary pressure
Heat transfer in porous media
Van Genunchten model for unsaturated flow

Discrete Particle Models

Massless marker particles
Mass particles of variable size/mass
Linear & quadratic fluid-dynamic drag
Monte-Carlo diffusion
Particle-Fluid momentum coupling
Coefficient of restitution or sticky particles
Point or volumetric particle sources
Charged particles
Probe particles

Two-Phase & Two-Component Models

Liquid/liquid & gas/liquid interfaces
Variable density mixtures
Compressible fluid with a dispersed incompressible component
Drift flux
Two-component, vapor/non-condensable gases
Phase transformations for gas-liquid & liquid-solid
Adiabatic bubbles
Bubbles with phase change
Continuum fluid with discrete particles
Scalar transport
Homogeneous bubbles
Super-cooling

Coupling with Other Programs

Geometry input from Stereolithography (STL) files – binary or ASCII
Direct interfaces with EnSight^®, FieldView^® & Tecplot^® visualization software
Finite element solution import/export via Exodus-II file format
PLOT3D output
Neutral file output
Extensive customization possibilities
Solid Properties Materials Database

Data Processing Options

State-of-the-art post-processing tool, FlowSight™
Batch post-processing
Report generation
Automatic or custom results analysis
High-quality OpenGL-based graphics
Color or B/W vector, contour, 3D surface & particle plots
Moving and stationary probes
Measurement baffles
Arbitrary sampling volumes
Force & moment output
Animation output
PostScript, JPEG & Bitmap output
Streamlines
Flow tracers

User Conveniences

Active simulation control (based on measurement of probes)
Mesh generators
Mesh quality checking
Tabular time-dependent input using external files
Automatic time-step control for accuracy & stability
Automatic convergence control
Mentor help to optimize efficiency
Change simulation parameters while solver runs
Launch and manage multiple simulations
Automatic simulation termination based on user-defined criteria
Run simulation on remote servers using remote solving

Multi-Processor Computing

FLOW-3D Features

The features in blue are newly-released in FLOW-3D v12.0.

Meshing & Geometry

Structured finite difference/control volume meshes for fluid and thermal solutions
Finite element meshes in Cartesian and cylindrical coordinates for structural analysis
Multi-Block gridding with nested, linked, partially overlapping and conforming mesh blocks
Conforming meshes extended to arbitrary shapes
Fractional areas/volumes (FAVOR™) for efficient & accurate geometry definition
Closing gaps in geometry
Mesh quality checking
Basic Solids Modeler
Import CAD data
Import/export finite element meshes via Exodus-II file format
Grid & geometry independence
Cartesian or cylindrical coordinates

Flow Type Options

Internal, external & free-surface flows
3D, 2D & 1D problems
Transient flows
Inviscid, viscous laminar & turbulent flows
Hybrid shallow water/3D flows
Non-inertial reference frame motion
Multiple scalar species
Two-phase flows
Heat transfer with phase change
Saturated & unsaturated porous media

Physical Modeling Options

Fluid structure interaction
Thermally-induced stresses
Plastic deformation of solids
Granular flow
Moisture drying
Solid solute dissolution
Sediment transport and scour
Sludge settling
Cavitation (potential, passive tracking, active tracking)
Phase change (liquid-vapor, liquid-solid)
Surface tension
Thermocapillary effects
Wall adhesion
Wall roughness
Vapor & gas bubbles
Solidification & melting
Mass/momentum/energy sources
Shear, density & temperature-dependent viscosity
Thixotropic viscosity
Visco-elastic-plastic fluids
Elastic membranes & walls
Evaporation residue
Electro-mechanical effects
Dielectric phenomena
Electro-osmosis
Electrostatic particles
Joule heating
Air entrainment
Molecular & turbulent diffusion
Temperature-dependent material properties
Spray cooling

Flow Definition Options

General boundary conditions
- Symmetry
- Rigid and flexible walls
- Continuative
- Periodic
- Specified pressure
- Specified velocity
- Outflow
- Outflow pressure
- Outflow boundaries with wave absorbing layers
- Grid overlay
- Hydrostatic pressure
- Volume flow rate
- Non-linear periodic and solitary surface waves
- Rating curve and natural hydraulics
- Wave absorbing layer
Restart from previous simulation
Continuation of a simulation
Overlay boundary conditions
Change mesh and modeling options
Change model parameters

Thermal Modeling Options

Natural convection
Forced convection
Conduction in fluid & solid
Fluid-solid heat transfer
Distributed energy sources/sinks in fluids and solids
Radiation
Viscous heating
Orthotropic thermal conductivity
Thermally-induced stresses

Numerical Modeling Options

TruVOF Volume-of-Fluid (VOF) method for fluid interfaces
Steady state accelerator for free-surface flows
First and second order advection
Sharp and diffuse interface tracking
Implicit & explicit numerical methods
Immersed boundary method
GMRES, point and line relaxation pressure solvers
User-defined variables, subroutines & output
Utilities for runtime interaction during execution

Fluid Modeling Options

One incompressible fluid – confined or with free surfaces
Two incompressible fluids – miscible or with sharp interfaces
Compressible fluid – subsonic, transonic, supersonic
Stratified fluid
Acoustic phenomena
Mass particles with variable density or diameter

Shallow Flow Models

General topography
Raster data interface
Subcomponent-specific surface roughness
Wind shear
Ground roughness effects
Manning’s roughness
Laminar & turbulent flow
Sediment transport and scour
Surface tension
Heat transfer
Wetting & drying

Turbulence Models

RNG model
Two-equation k-epsilon model
Two-equation k-omega model
Large eddy simulation

Advanced Physical Models

General Moving Object model with 6 DOF–prescribed and fully-coupled motion
Rotating/spinning objects
Collision model
Tethered moving objects (springs, ropes, breaking mooring lines)
Flexing membranes and walls
Porosity
Finite element based elastic-plastic deformation
Finite element based thermal stress evolution due to thermal changes in a solidifying fluid
Combusting solid components

Chemistry Models

Stiff equation solver for chemical rate equations
Stationary or advected species

Porous Media Models

Saturated and unsaturated flow
Variable porosity
Directional porosity
General flow losses (linear & quadratic)
Capillary pressure
Heat transfer in porous media
Van Genunchten model for unsaturated flow

Discrete Particle Models

Massless marker particles
Multi-species material particles of variable size and mass
Solid, fluid, gas particles
Void particles tracking collapsed void regions
Non-linear fluid-dynamic drag
Added mass effects
Monte-Carlo diffusion
Particle-fluid momentum coupling
Coefficient of restitution or sticky particles
Point or volumetric particle sources
Initial particle blocks
Heat transfer with fluid
Evaporation and condensation
Solidification and melting
Coulomb and dielectric forces
Probe particles

Two-Phase & Two-Component Models

Liquid/liquid & gas/liquid interfaces
Variable density mixtures
Compressible fluid with a dispersed incompressible component
Drift flux with dynamic droplet size
Two-component, vapor/non-condensable gases
Phase transformations for gas-liquid & liquid-solid
Adiabatic bubbles
Bubbles with phase change
Continuum fluid with discrete particles
Scalar transport
Homogeneous bubbles
Super-cooling
Two-field temperature

Coupling with Other Programs

Geometry input from Stereolithography (STL) files – binary or ASCII
Direct interfaces with EnSight^®, FieldView^® & Tecplot^® visualization software
Finite element solution import/export via Exodus-II file format
PLOT3D output
Neutral file output
Extensive customization possibilities
Solid Properties Materials Database

Data Processing Options

State-of-the-art post-processing tool, FlowSight™
Batch post-processing
Report generation
Automatic or custom results analysis
High-quality OpenGL-based graphics
Color or B/W vector, contour, 3D surface & particle plots
Moving and stationary probes
Visualization of non-inertial reference frame motion
Measurement baffles
Arbitrary sampling volumes
Force & moment output
Animation output
PostScript, JPEG & Bitmap output
Streamlines
Flow tracers

User Conveniences

Active simulation control (based on measurement of probes)
Mesh generators
Mesh quality checking
Tabular time-dependent input using external files
Automatic time-step control for accuracy & stability
Automatic convergence control
Mentor help to optimize efficiency
Units on all variables
Custom units
Component transformations
Moving particle sources
Change simulation parameters while solver runs
Launch and manage multiple simulations
Automatic simulation termination based on user-defined criteria
Run simulation on remote servers using remote solving
Copy boundary conditions to other mesh blocks

Multi-Processor Computing

Shared memory computers
Distributed memory clusters

FlowSight

Particle visualization
Velocity vector fields
Streamlines & pathlines
Iso-surfaces
2D, 3D and arbitrary clips
Volume render
Probe data
History data
Vortex cores
Link multiple results
Multiple data views
Non-inertial reference frame
Spline clip

Tag: Shallow Water

해저 산사태 쓰나미의 최대 초기 파동 진폭 추정: 3차원 모델링 접근법

Highlights

Abstract

Keywords

1. Introduction and literature review

2. Data and methods

2.1. Physical experiments

2.2. Numerical simulations applying FLOW-3D hydro

2.3. Validation

2.4. The dataset

2.5. Landslide velocity

2.6. Effect of air entrainment

3. Results

3.1. Wave generation and propagation

3.2. Influence of landslide parameters on tsunami amplitude

3.3. Predictive equation

4. Conclusions

CRediT authorship contribution statement

Declaration of competing interest

Funding

Acknowledgements

Data availability

References

Abstract

References

Acknowledgements

Author information

Authors and Affiliations

Corresponding author

Ethics declarations

Conflicts of Interest

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About this article

Cite this article

Keywords

Abstract

1. Introduction

2. Numerical Method

2.1. Governing Equations of Flow

2.2. Turbulent Model

2.3. Sediment Scour Model

2.3.1. Entrainment and Deposition

2.3.2. Bed Load Transport

2.3.3. Suspended Load Transport

3. Model Setup

3.1. Mesh Geometric Dimensions

3.2. Boundary Conditions

3.3. Wave Parameters

3.4. Mesh Sensitivity

3.5. Model Validation

4. Numerical Results and Discussions

4.1. Scour Evolution

4.2. Scour Mechanism under Random Waves

4.3. Equilibrium Scour Depth

4.4. Parametric Study

4.4.1. Influence of Froude Number

4.4.2. Influence of Euler Number

5. Conclusions

Author Contributions

Funding

Institutional Review Board Statement

Informed Consent Statement

Data Availability Statement

Conflicts of Interest

References

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A 3-D numerical simulation of the characteristics of open channel flows with submerged rigid vegetation

Abstract

Key words

References

Abstract

Keywords

1. Introduction

2. Numerical Methods

2.1. Model Setup

2.2. Verification

3. Sensitivity Analysis

4. Design Optimization

¹. ^Introduction

^2.1. ^{Model Setup}

^2.2. ^Verification

³. ^{Sensitivity Analysis}

⁴. ^{Design Optimization}