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Numerical simulation of the MHD equations by a kinetic-type method
Authors:Jean-Pierre Croisille  Rabia Khanfir  Gérard Chanteur
Affiliation:(1) Laboratoire d'Analyse Numérique d'Orsay, Université Paris Sud, Bât. 425, 91405 Orsay Cedex, France;(2) CETP/CNRS/UVSQ, 10–12 av. de l'Europe, 78140 Vélizy Cedex, France
Abstract:We introduce a flux-splitting formula for the approximation of the ideal MHD equations in conservative form. The Faraday equation is considered as the average of an abstract kinetic equation, giving a flux-splitting formula. For the other part of the equations, we generalize formally the classical half-Maxwellian flux-splitting of the Euler equations. Numerical results on MHD shock tube problems are displayed.
Keywords:MHD equations  Faraday equation  Boltzmann schemes  flux-splitting  finite-volume method
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