A BGK model for small Prandtl number in the Navier-Stokes approximation |
| |
Authors: | François Bouchut Benoít Perthame |
| |
Affiliation: | (1) PMMS/CNRS, 3A, av. de la Rech. Scientifique, 45071 Orleans Cedex 2, France;(2) Département de Mathématiques, Université d'Orléans, BP 6759, 45067 Orleans Cedex 2, France |
| |
Abstract: | We present a BGK-type collision model which approximates, by a Chapman-Enskog expansion, the compressible Navier-Stokes equations with a Prandtl number that can be chosen arbitrarily between 0 and 1. This model has the basic properties of the Boltzmann equation, including theH-theorem, but contains an extra parameter in comparison with the standard BGK model. This parameter is introduced multiplying the collision operator by a nonlinear functional of the distribution function. It is adjusted to the Prandtl number. |
| |
Keywords: | Boltzmann equation compressible Navier-Stokes equations Prandtl number entropy |
本文献已被 SpringerLink 等数据库收录! |
|