A review on a general multi-species BGK model: modelling, theory and numerics

Pirner, Marlies; Warnecke, Sandra

Zusammenfassung

In this article we focus on kinetic equations for gas mixtures since in applications one often has to deal with mixtures instead of a single gas. In particular, we consider an approximation of the Boltzmann equation, the Bhatnagar–Gross–Krook (BGK) equation. This equation is used in many applications because it is very efficient in numerical simulations. In this article, we recall a general BGK equation for gas mixtures which has free parameters. Specific choices of these free parameters lead to special cases in the literature. For this model, we provide an overview concerning modelling, theoretical results and numerics.