A BGK MODEL FOR SMALL PRANDTL NUMBER IN THE NAVIER-STOKES APPROXIMATION

被引：28

作者：

BOUCHUT, F ^{[1
]}

PERTHAME, B ^{[1
]}

机构：

[1] UNIV ORLEANS,DEPT MATH,F-45067 ORLEANS 2,FRANCE

来源：

JOURNAL OF STATISTICAL PHYSICS | 1993年 / 71卷 / 1-2期

关键词：

BOLTZMANN EQUATION; COMPRESSIBLE NAVIER-STOKES EQUATIONS; PRANDTL NUMBER; ENTROPY;

D O I：

10.1007/BF01048094

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 the H-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.

引用

页码：191 / 207

页数：17

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