Geodesic
Asymptotic-Preserving scheme for a two-fluid Euler-Lorentz model
Stéphane Brull1 ; Pierre Degond2 ; Fabrice Deluzet2 ; Alexandre Mouton3
1 Institut de Mathématiques de Bordeaux, France
2 CNRS, Institut de Mathématiques de Toulouse, France
3 INRIA, Institut de Mathématiques de Toulouse, France
ESAIM. Proceedings, Tome 32 (2011), pp. 18-22.

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The present work is devoted to the simulation of a strongly magnetized plasma as a mixture of an ion fluid and an electron fluid. For simplicity reasons, we assume that each fluid is isothermal and is modelized by Euler equations coupled with a term representing the Lorentz force, and we assume that both Euler systems are coupled through a quasi-neutrality constraint of the form ni = ne. The numerical method which is described in the present document is based on an asymptotic-preserving time semi-discretization of a variant of this two-fluid Euler-Lorentz model which is based on a small perturbation of the quasi-neutrality constraint.
DOI : 10.1051/proc/2011009

Stéphane Brull 1 ; Pierre Degond 2 ; Fabrice Deluzet 2 ; Alexandre Mouton 3

1 Institut de Mathématiques de Bordeaux, France
2 CNRS, Institut de Mathématiques de Toulouse, France
3 INRIA, Institut de Mathématiques de Toulouse, France 
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     title = {Asymptotic-Preserving scheme for a two-fluid {Euler-Lorentz} model},
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Stéphane Brull; Pierre Degond; Fabrice Deluzet; Alexandre Mouton. Asymptotic-Preserving scheme for a two-fluid Euler-Lorentz model. ESAIM. Proceedings, Tome 32 (2011), pp. 18-22. doi : 10.1051/proc/2011009. http://geodesic.mathdoc.fr/articles/10.1051/proc/2011009/

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