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

Zh. Vychisl. Mat. Mat. Fiz., 2011 Volume 51, Number 11, Pages 2084–2095 (Mi zvmmf9578)

This article is cited in 3 papers

Nonlinear nonequilibrium kinetic model of the Boltzmann equation for monatomic gases

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 in a wide range of nonequilibrium gas states was constructed to describe rarefied gas flows. The kinetic model was based on a distribution function depending on the absolute velocity of the gas particles. Highly efficient in numerical computations, the model kinetic equation was used to compute a shock wave structure. The numerical results were compared with experimental data for argon.

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

UDC: 519.634

Received: 20.04.2011


 English version:
Computational Mathematics and Mathematical Physics, 2011, 51:11, 1962–1972

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