This article is cited in 2 papers

Numerical simulation of gas dynamics in a bubble during its collapse with the formation of shock waves

A. A. Aganin, M. A. Il'gamov

Institute of Mechanics and Machine Building, Kazan’ Scientific Center, Russian Academy of Sciences, Kazan’ 420111

Abstract: The specific features of calculation of a gas in a spherical bubble located in the center of a spherical volume of weakly compressible fluid are considered. The problems of motion of a cold gas to a point and a spherical piston converging to a point are used to evaluate the algorithm. It is shown that significant errors can arise in calculation of spherical waves in the vicinity of the pole. These errors can be substantially reduced by means of artificial viscosity in the Riemann problem.

UDC: 534.2:532

Received: 30.06.1998

 English version: Journal of Applied Mechanics and Technical Physics, 1999, 40:2, 276–284

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