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Matematicheskoe modelirovanie, 2011, Volume 23, Number 9, Pages 135–147 (Mi mm3159)  

This article is cited in 6 scientific papers (total in 6 papers)

Numerical solution of the problem of the theory of point explosion in Lagrangian coordinates. Some new results

Yu. D. Shevelev, V. A. Andrushchenko, I. V. Murashkin

Institute for Computer Aided Design of RAS, Moscow
Full-text PDF (641 kB) Citations (6)
References:
Abstract: An unsteady problem of the point explosion theory in Lagrangian coordinates is considered. Process of reorganization of gas flow in the area captured by blast-wave is investigated. During numerical experiment, by variation of nondimensional governing parameters of the problem, features of such flow are revealed for the first time. It is discovered that, except for the nodal point singularity in the center of energy release, determined by the initial conditions of the problem (L. I. Sedov's self-similar solution), extra singular focus, saddle and node points are formed in the disturbed flow area with time.
Keywords: point explosion, shock waves, gas dynamics equations, Lagrangian coordinates, critical points.
Received: 21.03.2011
English version:
Mathematical Models and Computer Simulations, 2012, Volume 4, Issue 2, Pages 210–218
DOI: https://doi.org/10.1134/S2070048212020135
Bibliographic databases:
Document Type: Article
UDC: 517.95:533.601.1
Language: Russian
Citation: Yu. D. Shevelev, V. A. Andrushchenko, I. V. Murashkin, “Numerical solution of the problem of the theory of point explosion in Lagrangian coordinates. Some new results”, Matem. Mod., 23:9 (2011), 135–147; Math. Models Comput. Simul., 4:2 (2012), 210–218
Citation in format AMSBIB
\Bibitem{SheAndMur11}
\by Yu.~D.~Shevelev, V.~A.~Andrushchenko, I.~V.~Murashkin
\paper Numerical solution of the problem of the theory of point explosion in Lagrangian coordinates. Some new results
\jour Matem. Mod.
\yr 2011
\vol 23
\issue 9
\pages 135--147
\mathnet{http://mi.mathnet.ru/mm3159}
\transl
\jour Math. Models Comput. Simul.
\yr 2012
\vol 4
\issue 2
\pages 210--218
\crossref{https://doi.org/10.1134/S2070048212020135}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928989576}
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  • https://www.mathnet.ru/eng/mm/v23/i9/p135
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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