Slip Boundary Conditions for the Compressible Navier–Stokes Equations
MARTALO, Giorgio
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
MIEUSSENS, Luc
Institut de Mathématiques de Bordeaux [IMB]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
< Reduce
Institut de Mathématiques de Bordeaux [IMB]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Language
en
Article de revue
This item was published in
Journal of Statistical Physics. 2017, vol. 169, n° 4, p. 744-781
Springer Verlag
English Abstract
The slip boundary conditions for the compressible Navier–Stokes equations are derived systematically from the Boltzmann equation on the basis of the Chapman–Enskog solution of the Boltzmann equation and the analysis of the ...Read more >
The slip boundary conditions for the compressible Navier–Stokes equations are derived systematically from the Boltzmann equation on the basis of the Chapman–Enskog solution of the Boltzmann equation and the analysis of the Knudsen layer adjacent to the boundary. The resulting formulas of the slip boundary conditions are summarized with explicit values of the slip coefficients for hard-sphere molecules as well as the Bhatnagar–Gross–Krook (BGK) model. These formulas, which can be applied to specific problems immediately, help to prevent the use of often used slip boundary conditions that are either incorrect or without theoretical basis.Read less <
English Keywords
Navier–Stokes equations
Boltzmann equation
Moving boundary problems
Knudsen layer
Slip boundary conditions
Origin
Hal imported