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

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

10.4208/aamm.10-m1041

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

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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.

  • History

Published online: 2011-03

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