METHOD OF COMPUTATIONAL SOLUTION OF BOUNDARY-VALUE PROBLEMS OF KINETIC THEORY OF RAREFIED GASES
MAYASOV Evgenii Gabrielevich
Lobachevsky State University of Nizhni Novgorod (Branch) in Arzamas
Abstract. In the article the scheme of the computational solution of the linear boundary-value problems of the mathematical theory of rarefied gases with arbitrary Knudsen numbers is worked out. The analysis is based on the solution of the linearized equation of Boltzmann in Chapman - Enskog form by the method of symmetrical moments, which are a generalization of the method of semi-spatial moments. The given methods allow reducing the boundary-value problem to Cauchy problem for the system of differential equations with zero initial conditions. The problem about sphere rotation in rarefied gas is solved as an example.
Key words and phrases: кинетическое уравнение Больцмана, модель Бхатнагара - Гросса - Крука (БГК), переходный режим, число Кнудсена, функция распределения, моментные методы, Boltzmann kinetic equation, BGK (Bhathnagar - Gross - Krook) model, transient regime, Knudsen number, distribution function, moment methods
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