Semi-implicit Two-Speed Well-Balanced Relaxation Scheme for Ripa Model

被引：2
|
作者：
Franck, Emmanuel [1 ,2 ]
Navoret, Laurent [1 ,2 ]
机构：
[1] INRIA Grand Est, 7 Rue Rene Descartes, F-67000 Strasbourg, France
[2] IRMA Strasbourg, 7 Rue Rene Descartes, F-67000 Strasbourg, France
来源：
FINITE VOLUMES FOR COMPLEX APPLICATIONS IX-METHODS, THEORETICAL ASPECTS, EXAMPLES, FVCA 9 | 2020年 / 323卷
关键词：
Finite volume; Relaxation method; Shallow-water model; Semi-implicit;
D O I：
10.1007/978-3-030-43651-3_70
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a semi-implicit well-balanced scheme for the Ripa model based on a two-speed relaxation. The method both preserves equilibria and has an implicit step that reduces to the inversion of a constant Laplacian. Numerical simulations show that the scheme well capture low-Froude flows.
引用
收藏
页码：735 / 743
页数：9
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