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

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.

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Year of publication:	2001
Authors:	Li, Hong ; Liu, RuXun
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 56.2001, 3, p. 223-233
Publisher:	Elsevier
Subject:	Discontinuous Galerkin method \| Runge–Kutta time discretization \| Shallow water equations

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010750171