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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2015, Volume 8, Issue 2, Pages 36–42
DOI: https://doi.org/10.14529/mmp150203
(Mi vyuru261)
 

This article is cited in 4 scientific papers (total in 4 papers)

Mathematical Modelling

Modification of method of large particles for research of currents of gas-suspensions

D. S. Grishchenko, Yu. M. Kovalev, E. A. Kovaleva

South Ural State University, Chelyabinsk, Russian Federation
Full-text PDF (572 kB) Citations (4)
References:
Abstract: In this work a modification of the large particles method is given applications the study gas-suspensions flows. It is shown that the proposed modification of the large particles method allows to carry out calculations of behavior of shock waves in gas-suspensions without insertion of artificial viscosity in an explicit form. It allows to avoid distortion of a physical picture of the gas-suspension flow connected with existence of the ostsillyation taking place at distribution of shock waves in non-homogeneous medium. In this work it was established that for carrying out of calculations of distribution of shock waves in gas-suspensions with large Courant the problem numbers an explicit modification of a large particles method can be used. It allow to reduce time of calculation of the problem and to avoid carrying out difficult iterative procedures inherent in implicit difference schemes. It was shown that the modification of large particles method offered in this work is effective and allows to carry out calculations for even strong shock waves in gas-suspensions.
Keywords: numerical method; mathematical model; gas-suspensions; conservation laws; shock waves; Courant number.
Received: 26.01.2015
Bibliographic databases:
Document Type: Article
UDC: 519.63+532.529.5
MSC: 76N15
Language: Russian
Citation: D. S. Grishchenko, Yu. M. Kovalev, E. A. Kovaleva, “Modification of method of large particles for research of currents of gas-suspensions”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:2 (2015), 36–42
Citation in format AMSBIB
\Bibitem{GriKovKov15}
\by D.~S.~Grishchenko, Yu.~M.~Kovalev, E.~A.~Kovaleva
\paper Modification of method of large particles for research of currents of gas-suspensions
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2015
\vol 8
\issue 2
\pages 36--42
\mathnet{http://mi.mathnet.ru/vyuru261}
\crossref{https://doi.org/10.14529/mmp150203}
\elib{https://elibrary.ru/item.asp?id=23442151}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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