Hydrodynamic regimes, Knudsen layer, numerical schemes: Definition of boundary fluxes

Christophe Besse 1 Saja Borghol 2 Thierry Goudon 1, 3, 4, * Ingrid Lacroix-Violet 2 Jean-Paul Dudon 5
* Corresponding author
1 SIMPAF - SImulations and Modeling for PArticles and Fluids
LPP - Laboratoire Paul Painlevé - UMR 8524, Inria Lille - Nord Europe
3 COFFEE - COmplex Flows For Energy and Environment
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR7351
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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https://hal.inria.fr/hal-00905330
Contributor : Thierry Goudon <>
Submitted on : Monday, November 18, 2013 - 10:18:43 AM
Last modification on : Tuesday, July 3, 2018 - 11:42:57 AM

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  • HAL Id : hal-00905330, version 1

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Christophe Besse, Saja Borghol, Thierry Goudon, Ingrid Lacroix-Violet, Jean-Paul Dudon. Hydrodynamic regimes, Knudsen layer, numerical schemes: Definition of boundary fluxes. Advances in Applied Mechanics, New York ; London ; Paris [etc] : Academic Press, 2011, 3 (5), pp.519--561. ⟨hal-00905330⟩

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