Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
518859 | Journal of Computational Physics | 2015 | 20 Pages |
Abstract
In this work, we compare and contrast two provably entropy stable and high-order accurate nodal discontinuous Galerkin spectral element methods applied to the one dimensional shallow water equations for problems with non-constant bottom topography. Of particular importance for numerical approximations of the shallow water equations is the well-balanced property. The well-balanced property is an attribute that a numerical approximation can preserve a steady-state solution of constant water height in the presence of a bottom topography. Numerical tests are performed to explore similarities and differences in the two high-order schemes.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Andrew R. Winters, Gregor J. Gassner,