Volume 32, October 2011CEMRACS'10 research achievements: Numerical modeling of fusion
|Page(s)||18 - 22|
|Published online||03 November 2011|
Asymptotic-Preserving scheme for a two-fluid Euler-Lorentz model
Institut de Mathématiques de Bordeaux,
2 CNRS, Institut de Mathématiques de Toulouse, France
3 CNRS, Institut de Mathématiques de Toulouse, France
4 INRIA, Institut de Mathématiques de Toulouse, France
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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