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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2011 Volume 23, Number 9, Pages 135–147 (Mi mm3159)

This article is cited 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

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.

UDC: 517.95:533.601.1

Received: 21.03.2011


 English version:
Mathematical Models and Computer Simulations, 2012, 4:2, 210–218

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