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A Discontinuous Galerkin Method for Three-Dimensional Shallow Water Equations

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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.

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Authors and Affiliations

  1. Center for Subsurface Modeling - C0200, Institute for Computational Engineering and Sciences (ICES), The University of Texas at Austin, Austin , TX, 78712, USA

    Clint Dawson & Vadym Aizinger

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  1. Clint Dawson
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  2. Vadym Aizinger
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Correspondence to Clint Dawson.

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Dawson, C., Aizinger, V. A Discontinuous Galerkin Method for Three-Dimensional Shallow Water Equations. J Sci Comput 22, 245–267 (2005). https://doi.org/10.1007/s10915-004-4139-3

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  • DOI: https://doi.org/10.1007/s10915-004-4139-3

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