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Degenerate Anisotropic Elliptic Problems and Magnetized Plasma Simulations

Published online by Cambridge University Press:  20 August 2015

Stéphane Brull ,
Pierre Degond  and
Fabrice Deluzet
Stéphane Brull*
Affiliation:
Institut de Mathématiques de Bordeaux UMR 5251, Equipe Mathématiques Appliquées de Bordeaux (MAB) Université Bordeaux 1 351, cours de la Libération-33405 TALENCE cedex, France
Pierre Degond
Affiliation:
Université de Toulouse; UPS, INSA, UT1, UTM; Institut de Mathématiques de Toulouse; F-31062 Toulouse, France CNRS; Institut de Mathématiques de Toulouse UMR 5219, F-31062 Toulouse, France
Fabrice Deluzet
Affiliation:
Université de Toulouse; UPS, INSA, UT1, UTM; Institut de Mathématiques de Toulouse; F-31062 Toulouse, France CNRS; Institut de Mathématiques de Toulouse UMR 5219, F-31062 Toulouse, France
*
Corresponding author.Email:stephane.brull@math.u-bordeaux1.fr
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Abstract

This paper is devoted to the numerical approximation of a degenerate anisotropic elliptic problem. The numerical method is designed for arbitrary space-dependent anisotropy directions and does not require any specially adapted coordinate system. It is also designed to be equally accurate in the strongly and the mildly anisotropic cases. The method is applied to the Euler-Lorentz system, in the drift-fluid limit. This system provides a model for magnetized plasmas.

Keywords

65N0665N1265M0665M1276W0576X0576N17Anisotropic elliptic problemasymptotic-preserving schemeLorentz forcelarge magnetic fieldlow-Mach numberdrift-fluid limit

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Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 1 , January 2012 , pp. 147 - 178
Copyright
Copyright © Global Science Press Limited 2012

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