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Erschienen in:
2018 | OriginalPaper | Buchkapitel
Kinetic ES-BGK Models for a Multi-component Gas Mixture
verfasst von : Christian Klingenberg, Marlies Pirner, Gabriella Puppo
Erschienen in: Theory, Numerics and Applications of Hyperbolic Problems II
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Abstract
We consider a multi-component mixture of inert gas in the kinetic regime by assuming that the total number of particles of each species remains constant. In this article, we shall illustrate our model for the case of two species. To account for thermal effects, we extend a BGK model based on the presence of a collision term for each possible interaction (Klingenberg et al., A consistent kinetic model for a two-component mixture with an application to plasma. Kinet Relat Models 10:444–465, 2017, [19]) by including ES-BGK effects. We prove consistency of the extended model like conservation properties, positivity of all temperatures, H-theorem, and convergence to a global equilibrium in the shape of a global Maxwell distribution.