EDP Sciences Journals List
Advanced Search
Subscriber Authentication Point
Home All issues Volume 28 Article
Free access article

Issue ESAIM: Proc.
Volume 28, 2009
CEMRACS 2008 - Modelling and Numerical Simulation of Complex Fluids
Page(s) 33 - 54
DOI http://dx.doi.org/10.1051/proc/2009038
Published online 23 November 2009

ESAIM: Proc., 2009, Vol. 28, pp. 33-54
DOI: 10.1051/proc/2009038

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

Christoph Altmann1, Thomas Belat2, Michael Gutnic, Philippe Helluy3, Hélène Mathis3, Éric Sonnendrücker3, Wilfredo Angulo4 and Jean-Marc Hérard5

1  Institut für Aerodynamik und Gasdynamik, Universität Stuttgart, Germany
2  Institut franco-allemand de recherches de Saint-Louis, 5 rue du Général Cassagnou, 68300 Saint-Louis, France
3  Université de Strasbourg, IRMA, 7 rue Descartes, 67084 Strasbourg, France
4  Departamento de Física, Decanato de Ciencias y Tecnología-UCLA, Barquisimeto-Venezuela y Postgrado en Matemática de la Facultad de Ciencias-UCV, Caracas, Venezuela
5  EDF-DRD, Département MFEE 6 quai Watier 78400 Chatou, France


Published online: 23 November 2009

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.


Résumé
Ce travail est consacré à la simulation des équations de la Magnéto-Hydro-Dynamique (MHD) sur des maillages complètement déstructurés. Le point de départ est la méthode de Galerkin Discontinue (DG) semi-discrétisée en espace. Pour l'approximation en temps, nous utilisons le schéma multi-pas d'Adams-Bashforth. Ce schéma permet l'utilisation de pas de temps locaux sur les petites mailles, ce qui conduit pour certains maillages à des gains considérables de temps de calcul. Enfin, nous présentons diverses expériences numériques.



© EDP Sciences, ESAIM 2009


What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.
  • If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
  • You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
  • You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.