Kinetic ES-BGK models for a multi-component gas mixture

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 \cite{Pirner} 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.

arXiv commentarXiv admin note: text overlap with arXiv:1806.09462, arXiv:1806.11486, arXiv:1806.11483

References in corpus (2)

• A class of asymptotic preserving schemes for kinetic equations and related problems with stiff sources
• A consistent kinetic model for a two-component mixture with an application to plasma

Cited by in corpus (4)

• Existence, Uniqueness and Positivity of solutions for BGK models for mixtures
• Multi-species modeling in the particle-based ESBGK method for monatomic gas species
• A consistent BGK model with velocity-dependent collision frequency for gas mixtures
• On the entropic property of the Ellipsoidal Statistical model with the Prandtl number below 2/3