Galerkin discontinuous approximation of the MHD equations

Christoph Altmann (1) , Thomas Belat (2) , Michaël Gutnic (2) , Philippe Helluy (2) , Hélène Mathis (2) , Eric Sonnendrücker (3, 2)

1 Institut für Aerodynamik und Gasdynamik
2 IRMA - Institut de Recherche Mathématique Avancée
3 CALVI - Scientific computation and visualization

In this report, we address several aspects of the approximation of the MHD equations by a Galerkin Discontinuous finite volume schemes. This work has been initiated during a CEMRACS project in july and august 2008 in Luminy. The project was entitled GADMHD (for GAlerkin Discontinuous approximation for the Magneto-Hydro-Dynamics). It has been supported by the INRIA CALVI project.

Mots clés: MHD; Discontinuous Galerkin approximation; Adams-Bashforth time integration

Domaines: Equations aux dérivées partielles [math.AP]

Christoph Altmann, Thomas Belat, Michaël Gutnic, Philippe Helluy, Hélène Mathis, et al.. Galerkin discontinuous approximation of the MHD equations. ESAIM: Proceedings, 2009, 28, pp.33-54. ⟨10.1051/proc/2009038⟩. ⟨hal-00337063v2⟩