Hydrodynamic regimes, Knudsen layer, numerical schemes: Definition of boundary fluxes
Besse, Christophe ; Borghol, Saja ; Goudon, Thierry ; Lacroix-Violet, Ingrid ; Dudon, Jean-Paul
HAL, hal-00905330 / Harvested from HAL
Text on HAL
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.
Publié le : 2011-07-05
Classification:  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP],  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-00905330,
     author = {Besse, Christophe and Borghol, Saja and Goudon, Thierry and Lacroix-Violet, Ingrid and Dudon, Jean-Paul},
     title = {Hydrodynamic regimes, Knudsen layer, numerical schemes: Definition of boundary fluxes},
     journal = {HAL},
     volume = {2011},
     number = {0},
     year = {2011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00905330}
}

Besse, Christophe; Borghol, Saja; Goudon, Thierry; Lacroix-Violet, Ingrid; Dudon, Jean-Paul. Hydrodynamic regimes, Knudsen layer, numerical schemes: Definition of boundary fluxes. HAL, Tome 2011 (2011) no. 0, . http://gdmltest.u-ga.fr/item/hal-00905330/