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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 6, Pages 1008–1026
DOI: https://doi.org/10.7868/S0044466913060057
(Mi zvmmf9847)
 

This article is cited in 24 scientific papers (total in 24 papers)

Computation of a shock wave structure in monatomic gas with accuracy control

O. I. Dodulada, F. G. Tcheremissineb

a Moscow Institute of Physics and Technology (State University)
b Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
References:
Abstract: The structure of a shock wave in a monatomic one-component gas was computed by solving the Boltzmann kinetic equation with accuracy controlled with respect to computational parameters. The hard-sphere molecular model and molecules with the Lennard-Jones potential were considered. The computations were performed in a wide range of Mach numbers with the accuracy no less than 3% for the shock front width and 1% for local values of density and temperature. The shock wave structure was studied in terms of macroscopic gas characteristics and in terms of the molecular velocity distribution function.
Key words: shock wave structure, Boltzmann equation, monatomic gas, numerical method with accuracy control.
Received: 29.02.2012
Revised: 20.01.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 6, Pages 827–844
DOI: https://doi.org/10.1134/S0965542513060055
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: O. I. Dodulad, F. G. Tcheremissine, “Computation of a shock wave structure in monatomic gas with accuracy control”, Zh. Vychisl. Mat. Mat. Fiz., 53:6 (2013), 1008–1026; Comput. Math. Math. Phys., 53:6 (2013), 827–844
Citation in format AMSBIB
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  • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:55
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