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JOURNALS // Siberian Journal of Pure and Applied Mathematics // Archive

Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2012 Volume 12, Issue 2, Pages 41–55 (Mi vngu118)

The parallel program system for solving the problem of shock-wave dynamics in bubble medium

G. G. Lazarevaab

a Novosibirsk State University, Novosibirsk, Russia
b Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Abstract: The program system has been developed for solving the axially-symmetric problem of the interaction of a plane shock wave with a free odd-shaped bubble system (cluster), cylindrical, spherical and toroidal forms included. Operating modified two-phase Iordanskii–Kogarko–van Wijngaarden model consist of gas dynamics equations for the average flow values and Rayleigh equation for relative bubble radius. The developed program system application permit to optimize the flow values for directed desired density emission generation.

Keywords: mathematical modeling, bubble medium, shock wave amplification, parallel computing.

UDC: 532.593+518.12

Received: 23.12.2010



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