@Article{AAMM-3-519,
author = {Christophe Besse, Saja Borghol, Thierry Goudon, Ingrid Lacroix-Violet and Jean-Paul Dudon},
title = {Hydrodynamic Regimes, Knudsen Layer, Numerical Schemes: Definition of Boundary Fluxes},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2011},
volume = {3},
number = {5},
pages = {519--561},
abstract = {
We propose a numerical solution to incorporate in the simulation of a system of conservation laws
boundary conditions that come from a microscopic modeling in the small mean free path regime.
The typical example we discuss is the derivation of the Euler system from the BGK equation.
The boundary condition relies on the analysis of boundary
layers formation that accounts from the fact that the incoming kinetic flux
might be far from the thermodynamic equilibrium.
},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.10-m1041},
url = {http://global-sci.org/intro/article_detail/aamm/181.html}
}
TY - JOUR
T1 - Hydrodynamic Regimes, Knudsen Layer, Numerical Schemes: Definition of Boundary Fluxes
AU - Christophe Besse, Saja Borghol, Thierry Goudon, Ingrid Lacroix-Violet & Jean-Paul Dudon
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 519
EP - 561
PY - 2011
DA - 2011/03
SN - 3
DO - http://dor.org/10.4208/aamm.10-m1041
UR - https://global-sci.org/intro/aamm/181.html
KW - Hydrodynamic regimes
KW - Knudsen layer
KW - finite volume scheme
KW - initial-boundary value problems for conservation laws
KW - Evaporation-condensation problem
AB -
We propose a numerical solution to incorporate in the simulation of a system of conservation laws
boundary conditions that come from a microscopic modeling in the small mean free path regime.
The typical example we discuss is the derivation of the Euler system from the BGK equation.
The boundary condition relies on the analysis of boundary
layers formation that accounts from the fact that the incoming kinetic flux
might be far from the thermodynamic equilibrium.
Christophe Besse, Saja Borghol, Thierry Goudon, Ingrid Lacroix-Violet & Jean-Paul Dudon. (1970). Hydrodynamic Regimes, Knudsen Layer, Numerical Schemes: Definition of Boundary Fluxes.
Advances in Applied Mathematics and Mechanics. 3 (5).
519-561.
doi:10.4208/aamm.10-m1041
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