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Journal of Scientific Computing

, Volume 22, Issue 1–3, pp 245–267 | Cite as

A Discontinuous Galerkin Method for Three-Dimensional Shallow Water Equations

  • Clint  Dawson
  • Vadym  Aizinger
Article

Abstract

We describe the application of a local discontinuous Galerkin method to the numerical solution of the three-dimensional shallow water equations. The shallow water equations are used to model surface water flows where the hydrostatic pressure assumption is valid. The authors recently developed a DG\linebreak method for the depth-integrated shallow water equations. The method described here is an extension of these ideas to non-depth-integrated models. The method and its implementation are discussed, followed by numerical examples on several test problems.

Keywords

Shallow water equations discontinuous Galerkin method free surface 

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Center for Subsurface Modeling - C0200, Institute for Computational Engineering and Sciences (ICES)The University of Texas at AustinAustin USA

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