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. 
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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/

[1] Sedov L. I., “Dvizhenie vozdukha pri silnom vzryve”, DAN SSSR, 52:1 (1946), 17–20

[2] Taylor G., “The formation of a blast wave by a very intense explosion”, Proc. Roy. Soc., London, A201:1065 (1950), 159–186 | Zbl

[3] Zeldovich Ya. B., Raizer Yu. P., Fizika udarnykh voln i vysokotemperaturnykh gazodinamicheskikh yavlenii, Nauka, M., 1963, 632 pp.

[4] Kestenboim Kh. S., Roslyakov G. S., Chudov L. A., Tochechnyi vzryv, Metody rascheta. Tablitsy, Nauka, M., 1974, 255 pp.

[5] Korobeinikov V. P., Zadachi teorii tochechnogo vzryva, Nauka, M., 1985, 400 pp. | MR

[6] Shustov B. M., “O skoordinirovannom podkhode k probleme asteroidno-kometnoi opasnosti”, Kosmich. issled., 48:5 (2010), 388–401

[7] Lloid R., “Stolknovenie s asteroidom. 12 sobytii, kotorye mogut izmenit mir”, V mire nauki, 2010, no. 8–9, 23–24

[8] Voitsekhovskii B. V., “K probleme Tungusskogo meteorita”, FGV, 1980, no. 5, 5–8 | MR

[9] Korobeinikov V. P., Shurshalov L. V., Vlasov V. I., Semenov I. V., “Complex modeling of the Tunguska catastrophe”, Planet Spase Sci., 46:2,3 (1998), 231–244 | DOI

[10] Belotserkovskii O. M., Andruschenko V. A., Shevelev Yu. D., Dinamika prostranstvennykh vikhrevykh techenii v neodnorodnoi atmosfere. Vychislitelnyi eksperiment, Yanus-K, M., 2000, 456 pp.

[11] Tablitsy standartnoi atmosfery, GOST 4401-48, Standartizatsiya, M., 1964, 89 pp.

[12] Kestenboim Kh. S., Turetskaya F. D., Chudov L. A., Shevelev Yu. D., “Eilerova i lagranzheva metodiki dlya rascheta tochechnogo vzryva v neodnorodnoi atmosfere”, Tr. Sektsii po chislennym metodam v gazovoi dinamike vtorogo Mezhdunarodnogo kollokviuma po gazodinamike vzryva i reagiruyuschikh sistem (Novosibirsk, 19–23 avg. 1969 g.), v. 3, VTs AN SSSR, M., 1971, 85–97

[13] Shevelev Yu. D., Prostranstvennye zadachi vychislitelnoi aerogidrodinamiki, Nauka, M., 1986, 368 pp. | Zbl