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

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

Document type :

Compte-rendu et recension critique d'ouvrage

Title :

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

Author(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]

Journal title :

Kinetic and Related Models

Pages :

10-40

Publisher :

AIMS

Publication date :

2011

ISSN :

1937-5093

HAL domain(s) :

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

English abstract : [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- ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Files

document
Open access
Access the document

bifluide.pdf
Open access
Access the document

An asymptotic preserving scheme for a ... BibTeX CSV Excel RIS

Files

An asymptotic preserving scheme for a ...

BibTeX

CSV

Excel

RIS