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

Zh. Vychisl. Mat. Mat. Fiz., 2010 Volume 50, Number 3, Pages 544–556 (Mi zvmmf4850)

This article is cited in 4 papers

A kinetic model of the Boltzmann equation for the power-law interaction potential between molecules

I. N. Larina, V. A. Rykov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

Abstract: A model kinetic equation approximating the Boltzmann equation with a linearized collision integral is constructed to describe rarefied gas flows at moderate and low Knudsen numbers. The kinetic model describes gas flows with a power-law intermolecular interaction potential and involves five relaxation parameters. The structure of a shock wave is computed, and the results are compared with an experiment for argon.

Key words: rarefied gas, Boltzmann equation, numerical method, model kinetic equation.

UDC: 519.634

Received: 13.07.2009


 English version:
Computational Mathematics and Mathematical Physics, 2010, 50:3, 519–530

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