Year: 2011
Author: Christophe Besse, Saja Borghol, Thierry Goudon, Ingrid Lacroix-Violet, Jean-Paul Dudon
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 5 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-m1041
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 5 : pp. 519–561
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 43
Keywords: Hydrodynamic regimes Knudsen layer finite volume scheme initial-boundary value problems for conservation laws Evaporation-condensation problem.
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