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A comparative study of finite volume methods on unstructured meshes for simulation of 2D shallow water wave problems

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  • Wang, Ji-Wen
  • Liu, Ru-Xun

Abstract

Four typical finite volume methods, the Roe-MUSCL, Roe-Upwind, HLL-MUSCL and composite methods are implemented on unstructured triangular meshes. Two typical problems of discontinuous solutions of 2D shallow water, the 2D dam break problem and oblique hydraulic jump problem, are solved by the four methods, respectively. The numerical results, the computational speeds and the stabilities of the four methods are compared.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:53:y:2000:i:3:p:171-184
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    Cited by:

    1. 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.
    2. Jiang, Yanqun & Ding, Zhongjun & Zhou, Jun & Wu, Peng & Chen, Bokui, 2022. "Estimation of traffic emissions in a polycentric urban city based on a macroscopic approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 602(C).

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