Winters, Andrew R. and Gassner, Gregor J. (2015). A comparison of two entropy stable discontinuous Galerkin spectral element approximations for the shallow water equations with non-constant topography. J. Comput. Phys., 301. S. 357 - 377. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716
Full text not available from this repository.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. (C) 2015 Elsevier Inc. All rights reserved.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-387030 | ||||||||||||
DOI: | 10.1016/j.jcp.2015.08.034 | ||||||||||||
Journal or Publication Title: | J. Comput. Phys. | ||||||||||||
Volume: | 301 | ||||||||||||
Page Range: | S. 357 - 377 | ||||||||||||
Date: | 2015 | ||||||||||||
Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | ||||||||||||
Place of Publication: | SAN DIEGO | ||||||||||||
ISSN: | 1090-2716 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
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URI: | http://kups.ub.uni-koeln.de/id/eprint/38703 |
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