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

Stéphane Brull; Pierre Degond; Fabrice Deluzet; Alexandre Mouton

ESAIM: Proceedings (2011)

  • Volume: 32, page 18-22
  • ISSN: 1270-900X

Abstract

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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.

How to cite

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Brull, Stéphane, et al. Cancès, E., et al, eds. "Asymptotic-Preserving scheme for a two-fluid Euler-Lorentz model." ESAIM: Proceedings 32 (2011): 18-22. <http://eudml.org/doc/251247>.

@article{Brull2011,
abstract = {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.},
author = {Brull, Stéphane, Degond, Pierre, Deluzet, Fabrice, Mouton, Alexandre},
editor = {Cancès, E., Crouseilles, N., Guillard, H., Nkonga, B., Sonnendrücker, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {11},
pages = {18-22},
publisher = {EDP Sciences},
title = {Asymptotic-Preserving scheme for a two-fluid Euler-Lorentz model},
url = {http://eudml.org/doc/251247},
volume = {32},
year = {2011},
}

TY - JOUR
AU - Brull, Stéphane
AU - Degond, Pierre
AU - Deluzet, Fabrice
AU - Mouton, Alexandre
AU - Cancès, E.
AU - Crouseilles, N.
AU - Guillard, H.
AU - Nkonga, B.
AU - Sonnendrücker, E.
TI - Asymptotic-Preserving scheme for a two-fluid Euler-Lorentz model
JO - ESAIM: Proceedings
DA - 2011/11//
PB - EDP Sciences
VL - 32
SP - 18
EP - 22
AB - 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.
LA - eng
UR - http://eudml.org/doc/251247
ER -

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