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Numerical methods and programming, 2014, Volume 15, Issue 4, Pages 549–559 (Mi vmp271)  

This article is cited in 1 scientific paper (total in 1 paper)

VV-exchange in direct Monte Carlo simulation of rarefied gas flows

E. A. Bondar'a, S. F. Gimelsheinb, A. N. Molchanovab, M. S. Ivanova

a Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Abstract: A question of modeling of vibration-vibration (VV) exchange in calculation of rarefied gas flows by the direct simulation Monte Carlo method is considered. Two simple models for VV-exchange in collisions of simple harmonic oscillator molecules are proposed: a model with single-quantum transitions and an extension of the Larsen–Borgnakke model used widely for RT- and VT-exchange. Computation of vibrational relaxation is performed for homogeneous test conditions and for the conditions of an experiment on vibrational population evolution in nitrogen excited vibrationally by a laser. The numerical results obtained are in good agreement with experimental data.
Keywords: direct simulation Monte Carlo method, VV-exchange, RT-exchange, VT-exchange, Larsen-Borgnakke model.
Received: 10.08.2014
Document Type: Article
UDC: 533.5
Language: Russian
Citation: E. A. Bondar', S. F. Gimelshein, A. N. Molchanova, M. S. Ivanov, “VV-exchange in direct Monte Carlo simulation of rarefied gas flows”, Num. Meth. Prog., 15:4 (2014), 549–559
Citation in format AMSBIB
\Bibitem{BonGimMol14}
\by E.~A.~Bondar', S.~F.~Gimelshein, A.~N.~Molchanova, M.~S.~Ivanov
\paper VV-exchange in direct Monte Carlo simulation of rarefied gas flows
\jour Num. Meth. Prog.
\yr 2014
\vol 15
\issue 4
\pages 549--559
\mathnet{http://mi.mathnet.ru/vmp271}
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  • https://www.mathnet.ru/eng/vmp/v15/i4/p549
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Numerical methods and programming
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