Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency

Haack, Jeff; Hauck, Cory; Klingenberg, Christian; Pirner, Marlies; Warnecke, Sandra

Forschungsartikel (Zeitschrift) | Peer reviewed

Zusammenfassung

We consider a kinetic description of 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 [20]. 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.

Details zur Publikation

FachzeitschriftJournal of Computational Physics (J. Comput. Phys.)
Jahrgang / Bandnr. / Volume473
Artikelnummer111729
StatusVeröffentlicht
Veröffentlichungsjahr2022
DOI10.1016/j.jcp.2022.111729
Link zum Volltexthttps://arxiv.org/abs/2202.05652
StichwörterBGK model; gas mixtures; velocity dependent collision frequency; numerical scheme, entropy minimization

Autor*innen der Universität Münster

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