Geodesic
Numerical solution of the problem of the theory of point explosion in Lagrangian coordinates. Some new results
Matematičeskoe modelirovanie, Tome 23 (2011) no. 9, pp. 135-147

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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.
Mots-clés : point explosion
Keywords: shock waves, gas dynamics equations, Lagrangian coordinates, critical points. 
@article{MM_2011_23_9_a9,
     author = {Yu. D. Shevelev and V. A. Andrushchenko and I. V. Murashkin},
     title = {Numerical solution of the problem of the theory of point explosion in {Lagrangian} coordinates. {Some} new results},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {135--147},
     publisher = {mathdoc},
     volume = {23},
     number = {9},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2011_23_9_a9/}
}
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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. Matematičeskoe modelirovanie, Tome 23 (2011) no. 9, pp. 135-147. http://geodesic.mathdoc.fr/item/MM_2011_23_9_a9/