TY - JOUR
T1 - Hydrodynamic Regimes, Knudsen Layer, Numerical Schemes: Definition of Boundary Fluxes
AU - Besse , Christophe
AU - Borghol , Saja
AU - Goudon , Thierry
AU - Lacroix-Violet , Ingrid
AU - Dudon , Jean-Paul
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 519
EP - 561
PY - 2011
DA - 2011/03
SN - 3
DO - http://doi.org/10.4208/aamm.10-m1041
UR - https://global-sci.org/intro/article_detail/aamm/181.html
KW - Hydrodynamic regimes, Knudsen layer, finite volume scheme, initial-boundary
value problems for conservation laws, 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.