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

Zh. Vychisl. Mat. Mat. Fiz., 2016 Volume 56, Number 6, Pages 1008–1024 (Mi zvmmf10418)

This article is cited in 15 papers

Simulation of rarefied gas flows on the basis of the Boltzmann kinetic equation solved by applying a conservative projection method

O. I. Doduladab, Yu. Yu. Klossab, A. P. Potapovc, F. G. Tcheremissineda, P. V. Shuvalovba

a Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
b National Research Center “Kurchatov Institute”, pl. Kurchatova 1, Moscow, 123182, Russia
c Parallels Research Ltd, Altuf'evskoe sh. 44, Moscow, 127566, Russia
d Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

Abstract: Flows of a simple rarefied gas and gas mixtures are computed on the basis of the Boltzmann kinetic equation, which is solved by applying various versions of the conservative projection method, namely, a two-point method for a simple gas and gas mixtures with a small difference between the molecular masses and a multipoint method in the case of a large mass difference. Examples of steady and unsteady flows are computed in a wide range of Mach and Knudsen numbers.

Key words: rarefied gas, gas mixture, Boltzmann equation, conservative projection method, numerical simulation.

UDC: 519.634

Received: 09.11.2015

DOI: 10.7868/S0044466916060119


 English version:
Computational Mathematics and Mathematical Physics, 2016, 56:6, 996–1011

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