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

Preview Full PDF 62 1222
Export citation
  • 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

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@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} }
TY - JOUR T1 - Hydrodynamic Regimes, Knudsen Layer, Numerical Schemes: Definition of Boundary Fluxes AU - Christophe Besse, Saja Borghol, Thierry Goudon, Ingrid Lacroix-Violet & Jean-Paul Dudon JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 519 EP - 561 PY - 2011 DA - 2011/03 SN - 3 DO - http://doi.org/10.4208/aamm.10-m1041 UR - https://global-sci.org/intro/article_detail/aamm/181.html KW - Hydrodynamic regimes KW - Knudsen layer KW - finite volume scheme KW - initial-boundary value problems for conservation laws KW - Evaporation-condensation problem AB -

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.

Christophe Besse, Saja Borghol, Thierry Goudon, Ingrid Lacroix-Violet & Jean-Paul Dudon. (1970). Hydrodynamic Regimes, Knudsen Layer, Numerical Schemes: Definition of Boundary Fluxes. Advances in Applied Mathematics and Mechanics. 3 (5). 519-561. doi:10.4208/aamm.10-m1041
Copy to clipboard
The citation has been copied to your clipboard