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An evolution Galerkin scheme for the shallow water magnetohydrodynamic (SMHD) equations in two space dimensions
Citation Link: https://doi.org/10.15480/882.120
Publikationstyp
Preprint
Date Issued
2004-04
Sprache
English
Author(s)
Institut
TORE-DOI
Number in series
75
Citation
Preprint. Published in: Journal of Computational PhysicsVolume 206, Issue 1, 10 June 2005, Pages 122-149
Publisher DOI
Scopus ID
In this paper we propose a new finite volume evolution Galerkin(FVEG) scheme for the shallow water magnetohydrodynamic (SMHD)equations. We apply the exact evolution operator already used in our earlier publications to the SMHD system. Then, we approximate the evolution operator in a general way which does not exploit any particular property of the SMHD equations and should thus be applicable to arbitrary systems of hyperbolic conservation laws in two space dimensions. In particular, we investigate more deeply the approximation of the spatial derivatives which appear in the evolution operator. The divergence free condition is satisfied discretely, i.e. at each vertex. First numerical results confirm reliability of the numerical scheme.
Subjects
genuinely multidimensional schemes
hyperbolic systems
shallow water magnetohydrodynamic equation
finite volume methods
DDC Class
510: Mathematik
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