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.
Citation:
A. A. Aganin, M. A. Il'gamov, “Numerical simulation of gas dynamics in a bubble during its collapse with the formation of shock waves”, Prikl. Mekh. Tekh. Fiz., 40:2 (1999), 101–110; J. Appl. Mech. Tech. Phys., 40:2 (1999), 276–284
\Bibitem{AgaIlg99}
\by A.~A.~Aganin, M.~A.~Il'gamov
\paper Numerical simulation of gas dynamics in a bubble during its collapse with the formation of shock waves
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 2
\pages 101--110
\mathnet{http://mi.mathnet.ru/pmtf3059}
\elib{https://elibrary.ru/item.asp?id=42658686}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 2
\pages 276--284
\crossref{https://doi.org/10.1007/BF02468524}
Linking options:
https://www.mathnet.ru/eng/pmtf3059
https://www.mathnet.ru/eng/pmtf/v40/i2/p101
This publication is cited in the following 1 articles:
A. A. Aganin, T. F. Khalitova, N. A. Khismatullina, “Numerical simulation of radially converging shock waves in the cavity of a bubble”, Math. Models Comput. Simul., 6:6 (2014), 560–572
Citation in format AMSBIB
Contact us: