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

Pirner, Marlies; Warnecke, Sandra

Research article in edited proceedings (conference) | Peer reviewed

Abstract

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.

Details about the publication

PublisherBarbante, Paolo; Belgiorno, Francesco; Lorenzani, Silvia; Valdettaro, Lorenzo
Book titleFrom Kinetik Theory to Turbulence Modeling : The Legacy of Carlo Cercignani
Page range217-231
Publishing companySpringer
Place of publicationSingapur
Title of seriesSpringer INdAM Series (ISSN: 2281-518X)
StatusPublished
Release year2022
ConferenceThe Legacy of Carlo Cercignani: from Kinetic Theory to Turbulence Modeling, Online, Online
ISBN978-981-19-6461-9
DOI10.1007/978-981-19-6462-6_17
Link to the full texthttps://arxiv.org/abs/2203.15284
KeywordsBGK model; gas mixtures; modelling; theory; numerics

Authors from the University of Münster

Pirner, Marlies
Juniorprofessur für Angewandte Mathematik (Prof. Pirner)