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Title of Journal: Acta Appl Math

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Abbravation: Acta Applicandae Mathematicae

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Springer Netherlands

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DOI

10.1016/0039-9140(93)80176-r

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1572-9036

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A BGK Model for Gas Mixtures

Authors: Stéphane Brull Jacques Schneider Vincent Pavan
Publish Date: 2014/05/30
Volume: 132, Issue: 1, Pages: 117-125
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Abstract

The aim of this article is to construct a BGK operator for gas mixtures starting from the true NavierStokes equations That is the ones having transport coefficients given by the hydrodynamical limit of the Boltzmann equations Here the same hydrodynamical 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 moments constraints In our case the BGK operator allows to recover the exact Fick and Newton laws and satisfy the fundamental properties of the Boltzmann equations for inert gas mixtures

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