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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 9, Pages 1534–1545
DOI: https://doi.org/10.31857/S0044466920090021 (Mi zvmmf11132) 		 
Numerical method for solving a system of kinetic equations describing the behavior of a nonideal gas

M. V. Abgaryana, A. M. Bishaevb, V. A. Rykovc

a Moscow Aviation Institute (National Research University), Moscow, 125993 Russia
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow oblast, 141701 Russia
c Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, 119333 Russia
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DOI: https://doi.org/10.31857/S0044466920090021
Abstract: A previously constructed kinetic model for describing the behavior of a nonideal gas is investigated. The dimensionless parameters determining when the nonideal nature of the gas has to be taken into account are estimated in more detail. It is found that the collision integral for bound particles can be integrated over the velocity space, which significantly simplifies the original system of equations and makes it possible to prove an H-theorem. The resulting system is nondimensionalized. A conservative numerical scheme is proposed for its solution.
Key words: nonideal gas, bound states, free states, Sutherland potential, H-theorem, critical temperature, equation of state, quadrature rules, conservative numerical scheme, distribution functions of molecules in free and bound states.
Received: 15.02.2020
Revised: 12.03.2020
Accepted: 09.04.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 9, Pages 1488–1498
DOI: https://doi.org/10.1134/S096554252009002X
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: M. V. Abgaryan, A. M. Bishaev, V. A. Rykov, “Numerical method for solving a system of kinetic equations describing the behavior of a nonideal gas”, Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020), 1534–1545; Comput. Math. Math. Phys., 60:9 (2020), 1488–1498
Citation in format AMSBIB
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\paper Numerical method for solving a system of kinetic equations describing the behavior of a nonideal gas
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\yr 2020
\vol 60
\issue 9
\pages 1534--1545
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\crossref{https://doi.org/10.31857/S0044466920090021}
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