Numerical Simulation of Shock Bubble Interaction with Different Mach Numbers
YANG Jie1, WAN Zhen-Hua1, WANG Bo-Fu2, SUN De-Jun1**
1Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027 2School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072
Abstract：The interaction of a shock wave with a spherical helium bubble is investigated numerically by using the high-resolution piecewise parabolic method (PPM), in which the viscous and turbulence effects are both considered. The bubble is of the same size and is accelerated by a planar shock of different Mach numbers (Ma). The results of low Ma cases agree quantitatively with those of experiments [G. Layes, O. Le Métayer, Phys. Fluids 19 (2007) 042105]. With the increase of Ma, the final geometry of the bubble becomes quite different, the compression ratio is highly raised, and the time-dependent mean bubble velocity is also influenced. The compression ratios measured can be well normalized when Ma is low, while less agreement has been achieved for high Ma cases. In addition, the mixedness between two fluids is enhanced greatly as Ma increases. Some existed scaling laws of these quantities for the shock wave strength cannot be directly applied to high Ma cases.
. [J]. 中国物理快报, 2015, 32(03): 34701-034701.
YANG Jie, WAN Zhen-Hua, WANG Bo-Fu, SUN De-Jun. Numerical Simulation of Shock Bubble Interaction with Different Mach Numbers. Chin. Phys. Lett., 2015, 32(03): 34701-034701.
2015, Vol. 32 
