# 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

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topBrull, 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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