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

Hong Li and RuXun Liu

Mathematics and Computers in Simulation (MATCOM), 2001, vol. 56, issue 3, 223-233

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.

Keywords: Discontinuous Galerkin method; Runge–Kutta time discretization; Shallow water equations (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:56:y:2001:i:3:p:223-233

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