Verlagslink DOI: 10.1016/j.jcp.2004.11.031
Titel: An evolution Galerkin scheme for the shallow water magnetohydrodynamic (SMHD) equations in two space dimensions
Sprache: English
Autor/Autorin: Kröger, Tim 
Medviďová-Lukáčová, Mária 
Schlagwörter: genuinely multidimensional schemes;hyperbolic systems;shallow water magnetohydrodynamic equation;finite volume methods
Erscheinungsdatum: Apr-2004
Quellenangabe: Preprint. Published in: Journal of Computational PhysicsVolume 206, Issue 1, 10 June 2005, Pages 122-149
Teil der Schriftenreihe: Preprints des Institutes für Mathematik 
Bandangabe: 75
Zusammenfassung (englisch): 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.
URI: http://tubdok.tub.tuhh.de/handle/11420/122
DOI: 10.15480/882.120
Institut: Mathematik E-10 
Dokumenttyp: Preprint (Vorabdruck)
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