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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 12, Pages 1973–1983
DOI: https://doi.org/10.31857/S0044466923120128
(Mi zvmmf11664)
 

Mathematical physics

Numerical and theoretical analysis of model equations for multicomponent rarefied gas

A. A. Frolova

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, 119333, Moscow, Russia
Abstract: Model equations approximating the system of Boltzmann equations for a multicomponent gas are investigated. Methods for determining parameters in relaxation terms corresponding to cross-collision integrals are analyzed. Numerical solutions based on three model systems and the Boltzmann equations are compared as applied to the following problems: relaxation of a mixture to equilibrium, shock wave structure, and the dynamics of a vapor-gas cloud generated by pulsed laser irradiation of a target. It is shown that the parameters in the relaxation operators influence the degree of difference in the solutions produced by the various models.
Key words: kinetic equation, model equations, conservation laws, multicomponent gas, nonstationary problems.
Received: 15.06.2023
Revised: 14.07.2023
Accepted: 22.08.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 12, Pages 2257–2266
DOI: https://doi.org/10.1134/S0965542523120102
Bibliographic databases:
Document Type: Article
UDC: 519.635
Language: Russian
Citation: A. A. Frolova, “Numerical and theoretical analysis of model equations for multicomponent rarefied gas”, Zh. Vychisl. Mat. Mat. Fiz., 63:12 (2023), 1973–1983; Comput. Math. Math. Phys., 63:12 (2023), 2257–2266
Citation in format AMSBIB
\Bibitem{Fro23}
\by A.~A.~Frolova
\paper Numerical and theoretical analysis of model equations for multicomponent rarefied gas
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 12
\pages 1973--1983
\mathnet{http://mi.mathnet.ru/zvmmf11664}
\crossref{https://doi.org/10.31857/S0044466923120128}
\elib{https://elibrary.ru/item.asp?id=54912954}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 12
\pages 2257--2266
\crossref{https://doi.org/10.1134/S0965542523120102}
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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