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The discontinuous Galerkin finite element method for the 2D shallow water equations

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  • Li, Hong
  • Liu, RuXun

Abstract

A high-order finite element method, total variational diminishing (TVD) Runge–Kutta discontinuous Galerkin method is investigated to solve free-surface problems in hydraulic dynamics. Some cases of circular dam and rapidly varying two-dimensional flows are presented to show the efficiency and stability of this method. The numerical simulations are given on structured rectangular mesh for regular domain and on unstructured triangular mesh for irregular domain, respectively.

Suggested Citation

  • Li, Hong & Liu, RuXun, 2001. "The discontinuous Galerkin finite element method for the 2D shallow water equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 56(3), pages 223-233.
    • Handle: RePEc:eee:matcom:v:56:y:2001:i:3:p:223-233
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    References listed on IDEAS

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    1. Wang, Ji-Wen & Liu, Ru-Xun, 2000. "A comparative study of finite volume methods on unstructured meshes for simulation of 2D shallow water wave problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 53(3), pages 171-184.
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