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A local time-stepping Discontinuous Galerkin algorithm for the MHD system

Christoph Altmann 1 Thomas Belat Michaël Gutnic 2 Philippe Helluy 3 Hélène Mathis 3 Eric Sonnendrücker 3 Wilfredo Angulo Jean-Marc Hérard 4
2 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : This work is devoted to the simulation of the Magneto-Hydro-Dynamics (MHD) equations on unstructured meshes. The starting point is the Discontinuous Galerkin (DG) method, semi-discrete in space. For the time integration, we choose the Adams-Bashforth scheme. This scheme allows very easily local time-stepping on the smallest cells of the mesh. Finally, we present several numerical experiments.
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https://hal.inria.fr/inria-00594611
Contributor : Eric Sonnendrücker <>
Submitted on : Friday, May 20, 2011 - 1:37:58 PM
Last modification on : Tuesday, March 2, 2021 - 5:12:05 PM

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Christoph Altmann, Thomas Belat, Michaël Gutnic, Philippe Helluy, Hélène Mathis, et al.. A local time-stepping Discontinuous Galerkin algorithm for the MHD system. Modélisation et Simulation de Fluides Complexes - CEMRACS 2008, Jul 2009, Marseille, France. ⟨10.1051/proc/2009038⟩. ⟨inria-00594611⟩

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