Hydrodynamic Regimes, Knudsen Layer, Numerical Schemes: Definition of Boundary Fluxes

Hydrodynamic Regimes, Knudsen Layer, Numerical Schemes: Definition of Boundary Fluxes

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.

Author Details

Christophe Besse

Saja Borghol

Thierry Goudon

Ingrid Lacroix-Violet

Jean-Paul Dudon

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