This article is cited in 5 papers

Problem with nonequilibrium boundary conditions in the kinetic theory of gases

V. V. Aristov^a, S. A. Zabelok^a, M. A. Fedosov^b, A. A. Frolova<sup>a

a</sup> Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
^b Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

Abstract: The Boltzmann kinetic equation is considered in a new formulation with nonequilibrium distribution functions on free boundaries, which makes it possible to simulate nonequilibrium superand subsonic flows. Transport processes for such flows are analyzed. The possibility of anomalous transport is determined, in which case the heat flux, temperature gradient, and the corresponding components of the nonequilibrium stress tensor and the velocity gradient have the same sign.

Key words: rarefied gas, Boltzmann kinetic equation, model kinetic equations, nonequilibrium freeboundary conditions, anomalous transport, numerical method.

UDC: 519.634

Received: 24.07.2015

DOI: 10.7868/S0044466916050070

 English version: Computational Mathematics and Mathematical Physics, 2016, 56:5, 854–863

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