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Asymptotic-Preserving scheme for a two-fluid Euler-Lorentz model

Stéphane Brull;  Pierre Degond;  Fabrice Deluzet;  Alexandre Mouton — 2011

ESAIM: Proceedings

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  =  . The numerical method...

Hybrid model for the Coupling of an Asymptotic Preserving scheme with the Asymptotic Limit model: The One Dimensional Case

Pierre Degond;  Fabrice Deluzet;  Dario Maldarella;  Jacek Narski;  Claudia Negulescu;  Martin Parisot — 2011

ESAIM: Proceedings

In this paper a strategy is investigated for the spatial coupling of an asymptotic preserving scheme with the asymptotic limit model, associated to a singularly perturbed, highly anisotropic, elliptic problem. This coupling strategy appears to be very advantageous as compared with the numerical discretization of the initial singular perturbation model or the purely asymptotic preserving scheme introduced in previous works [3, 5]. The model problem addressed...

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