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Tr. Mat. Inst. Steklova, 2013, Volume 281, Pages 42–54 (Mi tm3461)  

This article is cited in 3 scientific papers (total in 3 papers)

Mathematical modeling of shock-wave processes under gas solid boundary interaction

V. A. Levina, I. S. Manuylovicha, V. V. Markovb

a Research Institute of Mechanics, Lomonosov Moscow State University, Moscow, Russia
b Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia

Abstract: The results of numerical simulations are presented for planar air flows in a bounded volume of square cross section diminishing due to a uniform motion of the walls, for a flow of a propane–air mixture under sinusoidal variation of the size of the square domain, and for three-dimensional supersonic air and propane–air flows in channels of variable square cross section. Specific features of shock-wave processes that are associated with the piston effect and cumulation are established. The hypersonic analogy between planar and spatial flows is confirmed, which allows one to use two-dimensional solutions in estimating three-dimensional flows. The equations of a multicomponent ideal perfect gas and one-stage kinetics of chemical reactions are used to describe the flows. The method of numerical simulations is based on S. K. Godunov's scheme and implemented within an original software package.

Funding Agency Grant Number
Russian Foundation for Basic Research 11-01-00068
11-01-12043-ofi-m
12-01-90416-Ukr-a
Ministry of Education and Science of the Russian Federation 14.A18.21.2014
NSh-5911.2012.1
MK-3355.2012.1
Russian Academy of Sciences - Federal Agency for Scientific Organizations
This work was supported by the Russian Foundation for Basic Research (project nos. 11-01-00068, 11-01-12043-ofi-m-2011, and 12-01-90416-Ukr-a), by the Ministry of Education and Science of the Russian Federation (project no. 14.A18.21.2014), by grants of the President of the Russian Federation (project nos. NSh-5911.2012.1 and MK-3355.2012.1), and by the Presidium of the Russian Academy of Sciences within programs of basic research.


DOI: https://doi.org/10.1134/S0371968513020052

Full text: PDF file (823 kB)
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English version:
Proceedings of the Steklov Institute of Mathematics, 2013, 281, 37–48

Bibliographic databases:

Document Type: Article
UDC: 534.222.2
Received in September 2012

Citation: V. A. Levin, I. S. Manuylovich, V. V. Markov, “Mathematical modeling of shock-wave processes under gas solid boundary interaction”, Modern problems of mechanics, Collected papers. Dedicated to Academician Andrei Gennad'evich Kulikovskii on the occasion of his 80th birthday, Tr. Mat. Inst. Steklova, 281, MAIK Nauka/Interperiodica, Moscow, 2013, 42–54; Proc. Steklov Inst. Math., 281 (2013), 37–48

Citation in format AMSBIB
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\paper Mathematical modeling of shock-wave processes under gas solid boundary interaction
\inbook Modern problems of mechanics
\bookinfo Collected papers. Dedicated to Academician Andrei Gennad'evich Kulikovskii on the occasion of his 80th birthday
\serial Tr. Mat. Inst. Steklova
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\vol 281
\pages 42--54
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\vol 281
\pages 37--48
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    This publication is cited in the following articles:
    1. Levin V.A., Manuylovich I.S., Markov V.V., “Formation of Spin Detonation in Channels of Circular Cross Section”, Dokl. Phys., 60:2 (2015), 85–88  mathnet  crossref  adsnasa  isi  elib  scopus
    2. V. A. Levin, I. S. Manuylovich, V. V. Markov, “Numerical simulation of spinning detonation in circular section channels”, Comput. Math. Math. Phys., 56:6 (2016), 1102–1117  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    3. V. A. Levin, I. S. Manuylovich, V. V. Markov, “Rotating detonation wave in an annular gap”, Proc. Steklov Inst. Math., 300 (2018), 126–136  mathnet  crossref  crossref  isi  elib
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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