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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2023 Volume 63, Number 12, Pages 1973–1983 (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.

UDC: 519.635

Received: 15.06.2023
Revised: 14.07.2023
Accepted: 22.08.2023

DOI: 10.31857/S0044466923120128


 English version:
Computational Mathematics and Mathematical Physics, 2023, 63:12, 2257–2266

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© Steklov Math. Inst. of RAS, 2026