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Jiajia Pan and Hung Tao Shen
A two-dimensional wave model coupled with ice dynamics is developed to evaluate ice effects on shallow water wave propagation on a beach and in a channel. The nonlinear Boussinesq equations with ice effects are derived and solved by the hybrid technique ...
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Weihao Cao, Guangli Cheng, Bao Liu and Yangfan Cai
The current time-domain solution methods for the wavefield equations of a single medium do not apply to the wavefield equations of shallow water seismic with a fluid?elastomer coupling. To solve this problem, based on the explicit central difference meth...
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Zereng Chen, Qinghe Zhang, Guoquan Ran and Yang Nie
A wetting and drying treatment for a three-dimensional discontinuous Galerkin hydrodynamic model without mode splitting (external and internal modes) was developed. In this approach, computing elements are classified into wet, dry, and semidry elements, ...
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Mohammad Milad Salamttalab, Behnam Parmas, Hedi Mustafa Alee, Farhad Hooshyaripor, Ali Danandeh Mehr, Hamidreza Vosoughifar, Seyed Abbas Hosseini, Mohsen Maghrebi and Roohollah Noori
This study proposes a numerical model for depth-averaged Reynolds equations (shallow-water equations) to investigate a dam-break problem, based upon a two-dimensional (2D) second-order upwind cell-centre finite volume method. The transportation terms wer...
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Shunyu Yao, Guangyuan Kan, Changjun Liu, Jinbo Tang, Deqiang Cheng, Jian Guo and Hu Jiang
In recent years, mountainous areas in China have faced frequent geological hazards, including landslides, debris flows, and collapses. Effective simulation of these events requires a solver for shallow water equations (SWEs). Traditional numerical method...
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Peng-Bo Zheng, Zhou-Hao Zhang, Hong-Sheng Zhang and Xue-Yi Zhao
Herein, a numerical model is proposed to simulate the nonlinear wave propagation from deep to shallow water and wave breaking phenomena. In the numerical model, the governing equations selected, in which the momentum equations were added to the eddy-visc...
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Po-Wei Li, Shenghan Hu and Mengyao Zhang
This study applies the space?time generalized finite difference scheme to solve nonlinear dispersive shallow water waves described by the modified Camassa?Holm equation, the modified Degasperis?Procesi equation, the Fornberg?Whitham equation, and its mod...
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Xinyi Yuan, Yan Su and Peng Xie
The frequency characteristics of free surface elevation time histories of shallow-water sloshing in a three-dimensional rectangular tank is presented. The numerical model for sloshing motion uses an accurate velocity potential Boussinesq-type equation. A...
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Oleg E. Gulin and Igor O. Yaroshchuk
For a low-frequency sound signal propagating in a two-dimensionally inhomogeneous shallow-water waveguide, the influence of random bathymetry (fluctuating bottom boundary) was considered based on the local-mode approach and statistical modeling using fir...
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Tarandeep S. Kalra, Steve E. Suttles, Christopher R. Sherwood, John C. Warner, Alfredo L. Aretxabaleta and Gibson R. Leavitt
The shoaling transformation from generally linear deep-water waves to asymmetric shallow-water waves modifies wave shapes and causes near-bed orbital velocities to become asymmetrical, contributing to net sediment transport. In this work, we used two met...
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