An asymptotic preserving scheme for a bifluid Euler-Lorentz system.

Brull, Stéphane; Degond, Pierre; Deluzet, Fabrice; Mouton, Alexandre

Type de document :

Compte-rendu et recension critique d'ouvrage

Titre :

An asymptotic preserving scheme for a bifluid Euler-Lorentz system.

Auteur(s) :

Brull, Stéphane [Auteur]
Institut de Mathématiques de Bordeaux [IMB]
Degond, Pierre [Auteur]
Department of Mathematics [Imperial College London]
Deluzet, Fabrice [Auteur]
Institut de Mathématiques de Toulouse UMR5219 [IMT]
Mouton, Alexandre [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]

Titre de la revue :

Kinetic and Related Models

Pagination :

10-40

Éditeur :

AIMS

Date de publication :

2011

ISSN :

1937-5093

Discipline(s) HAL :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

Résumé en anglais : [en]

The present work is devoted to the simulation of a strongly ma g- netized plasma considered as a mixture of an ion fluid and an el ectron fluid. For the sake of simplicity, we assume that the model is isothe rmal and de- ...
Lire la suite >The present work is devoted to the simulation of a strongly ma g- netized plasma considered as a mixture of an ion fluid and an el ectron fluid. For the sake of simplicity, we assume that the model is isothe rmal and de- scribed by Euler equations coupled with a term representing the Lorentz force. Moreover we assume that both Euler systems are coupled throu gh a quasi- neutrality constraint of the form n i = n e . The numerical method which is described in the present document is based on an Asymptotic- Preserving semi- discretization in time of a variant of this two-fluid Euler-L orentz model with a small perturbation of the quasi-neutrality constraint. F irstly, we present the two-fluid model and the motivations for introducing a small p erturbation into the quasi-neutrality equation, then we describe the time se mi-discretization of the perturbed model and a fully-discrete finite volume sch eme based on it. Finally, we present some numerical results which have been o btained with this method.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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