# Numerical approximation of Knudsen layer for the Euler-Poisson system

Fréderique Charles; Nicolas Vauchelet; Christophe Besse; Thierry Goudon; Ingrid Lacroix–Violet; Jean-Paul Dudon; Laurent Navoret

ESAIM: Proceedings (2011)

- Volume: 32, page 177-194
- ISSN: 1270-900X

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topCharles, Fréderique, et al. Cancès, E., et al, eds. "Numerical approximation of Knudsen layer for the Euler-Poisson system." ESAIM: Proceedings 32 (2011): 177-194. <http://eudml.org/doc/251241>.

@article{Charles2011,

abstract = {In this work, we consider the computation of the boundary conditions for the linearized
Euler–Poisson derived from the BGK kinetic model in the small mean free path regime.
Boundary layers are generated from the fact that the incoming kinetic flux might be far
from the thermodynamical equilibrium. In [2], the authors propose a method to compute
numerically the boundary conditions in the hydrodynamic limit relying on an analysis of
the boundary layers. In this paper, we will extend these techniques in the case of the
coupled Euler-Poisson system.},

author = {Charles, Fréderique, Vauchelet, Nicolas, Besse, Christophe, Goudon, Thierry, Lacroix–Violet, Ingrid, Dudon, Jean-Paul, Navoret, Laurent},

editor = {Cancès, E., Crouseilles, N., Guillard, H., Nkonga, B., Sonnendrücker, E.},

journal = {ESAIM: Proceedings},

language = {eng},

month = {11},

pages = {177-194},

publisher = {EDP Sciences},

title = {Numerical approximation of Knudsen layer for the Euler-Poisson system},

url = {http://eudml.org/doc/251241},

volume = {32},

year = {2011},

}

TY - JOUR

AU - Charles, Fréderique

AU - Vauchelet, Nicolas

AU - Besse, Christophe

AU - Goudon, Thierry

AU - Lacroix–Violet, Ingrid

AU - Dudon, Jean-Paul

AU - Navoret, Laurent

AU - Cancès, E.

AU - Crouseilles, N.

AU - Guillard, H.

AU - Nkonga, B.

AU - Sonnendrücker, E.

TI - Numerical approximation of Knudsen layer for the Euler-Poisson system

JO - ESAIM: Proceedings

DA - 2011/11//

PB - EDP Sciences

VL - 32

SP - 177

EP - 194

AB - In this work, we consider the computation of the boundary conditions for the linearized
Euler–Poisson derived from the BGK kinetic model in the small mean free path regime.
Boundary layers are generated from the fact that the incoming kinetic flux might be far
from the thermodynamical equilibrium. In [2], the authors propose a method to compute
numerically the boundary conditions in the hydrodynamic limit relying on an analysis of
the boundary layers. In this paper, we will extend these techniques in the case of the
coupled Euler-Poisson system.

LA - eng

UR - http://eudml.org/doc/251241

ER -

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