Riverbed variation analysis using discontinuous Galerkin method in two-dimensional shallow water flow

被引：0
作者：
Matsumoto R. [1 ]
Tanaka S. [2 ]
Asai M. [1 ]
机构：
[1] Kyushu University, Japan
[2] Hiroshima Institute of Technology, Japan
来源：
Transactions of the Japan Society for Computational Engineering and Science | 2024年 / 2024卷 / 01期
关键词：
2-D bed variation model; Discontinuous Galerkin method; Numerical flux; Shallow water equations; Wetting-drying treatment;
D O I：
10.11421/jsces.2024.20241006
中图分类号：
学科分类号：
摘要：
The discontinuous Galerkin (DG) method is effective and promising tool for the hyperbolic equations with discontinuities. In recent years, the DG method has been applied and shown to be effective in the analysis of shallow water equations (SWEs), which are widely used for river flooding, storm surge, tsunami, and other natural disaster simulations. In this study, the DG method is applied to the governing equations for riverbed variation, which are coupling of the SWEs and equilibrium sediment transport equation, and wetting-drying treatment and numerical flux are discussed for our purpose. The proposed method has been verified with numerical analysis such as erodible dam-break flow and sandbar migration simulation. The numerical results have shown that the proposed method is effective for riverbed variation analysis. © 2024 by the Japan Society for Computational Engineering and Science.
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