Numerical and Theoretical Analysis of Model Equations for Multicomponent Rarefied Gas

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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.

About the authors

A. A. Frolova

Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences

Author for correspondence.
Email: aafrolova@yandex.ru
119333, Moscow, Russia

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