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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
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
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
Linking options:
https://www.mathnet.ru/eng/mm3159 https://www.mathnet.ru/eng/mm/v23/i9/p135
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Abstract page: | 707 | Full-text PDF : | 463 | References: | 68 | First page: | 12 |
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