Numerical approximation of Knudsen layer for the Euler-Poisson system

Charles, 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 -