| Issue |
ESAIM: Proc.
Volume 32, October 2011
CEMRACS'10 research achievements: Numerical modeling of fusion
|
|
|---|---|---|
| Page(s) | 18 - 22 | |
| DOI | https://doi.org/10.1051/proc/2011009 | |
| Published online | 03 November 2011 | |
Asymptotic-Preserving scheme for a two-fluid Euler-Lorentz model
1
Institut de Mathématiques de Bordeaux,
France
Mail: stephane.brull@math.u-bordeaux1.fr
2
CNRS, Institut
de Mathématiques de Toulouse, France
Mail: pierre.degond@gmail.com
3
CNRS, Institut
de Mathématiques de Toulouse, France
Mail: fabrice.deluzet@math.univ-toulouse.fr
4
INRIA, Institut
de Mathématiques de Toulouse, France
Mail: mouton@math.ups-tlse.fr
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.
© EDP Sciences, SAIM 2011
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