Mathematics > Numerical Analysis
[Submitted on 11 Feb 2022 (v1), last revised 3 Nov 2022 (this version, v2)]
Title:Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency
View PDFAbstract:We consider a kinetic description of a multi-species gas mixture modeled with Bhatnagar-Gross-Krook (BGK) collision operators, in which the collision frequency varies not only in time and space but also with the microscopic velocity. In this model, the Maxwellians typically used in standard BGK operators are replaced by a generalization of such target functions, which are defined by a variational procedure \cite{arXiv:2101.09047}. In this paper we present a numerical method for simulating this model, which uses an Implicit-Explicit (IMEX) scheme to minimize a certain potential function, mimicking the Lagrange functional that appears in the theoretical derivation. We show that theoretical properties such as conservation of mass, total momentum and total energy as well as positivity of the distribution functions are preserved by the numerical method, and illustrate its usefulness and effectiveness with numerical examples.
Submission history
From: Sandra Warnecke [view email][v1] Fri, 11 Feb 2022 14:51:08 UTC (10,359 KB)
[v2] Thu, 3 Nov 2022 08:54:42 UTC (12,983 KB)
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