Volume 3, Issue 5
Hydrodynamic Regimes, Knudsen Layer, Numerical Schemes: Definition of Boundary Fluxes

Christophe Besse, Saja Borghol, Thierry Goudon, Ingrid Lacroix-Violet & Jean-Paul Dudon

Adv. Appl. Math. Mech., 3 (2011), pp. 519-561.

Published online: 2011-03

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  • 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.

  • Keywords

Hydrodynamic regimes Knudsen layer finite volume scheme initial-boundary value problems for conservation laws Evaporation-condensation problem

  • AMS Subject Headings

35L65 35Q35 82C80 82C40 76M12 65M08

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COPYRIGHT: © Global Science Press

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@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} }
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