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Kinetic ES-BGK Models for a Multi-component Gas Mixture

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Theory, Numerics and Applications of Hyperbolic Problems II (HYP 2016)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 237))

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.

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Author information

Authors and Affiliations

  1. Department of Mathematics at Würzburg University, Emil Fischer Str. 40, 97074, Würzburg, Germany

    Christian Klingenberg & Marlies Pirner

  2. Università degli Studi dell’Insubria, Via Valleggio 11, 22100, Como, Italy

    Gabriella Puppo

Authors
  1. Christian Klingenberg
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  2. Marlies Pirner
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  3. Gabriella Puppo
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Corresponding author

Correspondence to Christian Klingenberg .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Würzburg University, Würzburg, Germany

    Christian Klingenberg

  2. Department of Mathematics, RWTH Aachen University, Aachen, Germany

    Michael Westdickenberg

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Klingenberg, C., Pirner, M., Puppo, G. (2018). Kinetic ES-BGK Models for a Multi-component Gas Mixture. In: Klingenberg, C., Westdickenberg, M. (eds) Theory, Numerics and Applications of Hyperbolic Problems II. HYP 2016. Springer Proceedings in Mathematics & Statistics, vol 237. Springer, Cham. https://doi.org/10.1007/978-3-319-91548-7_15

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