Derivation of a BGK model for mixtures

被引：66

作者：

Brull, Stephane ^{[1
]}

Pavan, Vincent ^{[2
]}

Schneider, Jacques ^{[3
]}

机构：

[1] Inst Polytech Bordeaux, IMB Appl Math, MATMECA, F-33405 Talence, France

[2] Polytech Marseille, IUSTI DTF Team, F-13453 Marseille, France

[3] Univ Toulon & Var, IMATH, F-83957 La Garde, France

来源：

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS | 2012年 / 33卷

关键词：

Kinetic theory; Gas mixtures; BGK models; Entropy minimization; Hydrodynamic limit; STATIONARY BOLTZMANN-EQUATION; KINETIC-MODEL; 2-COMPONENT GAS; VAPOR FLOWS; CONDENSATION; EVAPORATION;

D O I：

10.1016/j.euromechflu.2011.12.003

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The aim of this article is to construct a BGK operator for gas mixtures starting from the true Navier-Stokes equations. That is the ones with transport coefficients given by the hydrodynamic limit of the Boltzmann equation(s). Here the same hydrodynamic limit is obtained by introducing relaxation coefficients on certain moments of the distribution functions. Next the whole model is set by using entropy minimization under moment constraints as in Brull and Schneider (2008. 2009) [23,24]. In our case the BGK operator allows to recover the exact Fick and Newton laws and satisfy the classical properties of the Boltzmann equations for inert gas mixtures. (C) 2012 Elsevier Masson SAS. All rights reserved.

引用

页码：74 / 86

页数：13

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