Article information

2003 , Volume 8, ¹ 5, p.24-39

Vshivkov V.A., Lazareva G.G.

Numerical simulation of shock dynamics in bubble systems

A numerical model of pressure and velocities field dynamics in the process of interaction of a plain shock wave with a "free" bubble system is suggested in the axisymmetric case. A comparison of the explicit and the splitting finite-difference schemes is made. Boundary conditions and the method of definition of error calculation of the exact value of maximum pressure amplitude in the focusing region are considered in details on the basis of estimation of the energy variation over the emanation wave.

[full text] Classificator Msc2000:
*76L05 Shock waves and blast waves
76M20 Finite difference methods
76T10 Liquid-gas two-phase flows, bubbly flows

Keywords: sound amplification, shock amplification of bubbly system, boundary condition

Author(s):
Vshivkov Vitalii Andreevich
Dr. , Professor
Position: Leading research officer
Office: Institute of Computational Mathematics and Mathematical Geophysics SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Laverntiev ave., 6
Phone Office: (383) 330 89 94
E-mail: vsh@ssd.sscc.ru

Lazareva Galina Gennadievna
Dr. , Correspondent member of RAS, Professor
Office: Peoples Friendship University of Russia
Address: 117198, Russia, Moscow, 6, Miklukho-Maklaya Street
E-mail: lazareva-gg@rudn.ru


Bibliography link:
Vshivkov V.A., Lazareva G.G. Numerical simulation of shock dynamics in bubble systems // Computational technologies. 2003. V. 8. ¹ 5. P. 24-39
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