Numerical Simulation of Shock Bubble Interaction with Different Mach Numbers

• Published in: Chinese physics letters Vol. 32; no. 3; pp. 66 - 69
• Main Author: 杨洁 万振华 王伯福 孙德军
• Format: Journal Article
• Language: English
• Published: 01.03.2015
• Subjects: Bubbles; Computational fluid dynamics; Fluids; Mach number; Mathematical models; Shock waves; Turbulence; Turbulent flow; 抛物线法; 数值模拟; 数值研究; 气泡速度; 相互作用; 防震; 马赫数; 高分辨率
• ISSN: 0256-307X; 1741-3540
• DOI: 10.1088/0256-307X/32/3/034701

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 re- suits of low Ma cases agree quantitatively with those of experiments [G. Layes, O. Le M4tayer. Phys. Fluids 19 （2007） 042105]. With the increase of Ma, the final geometry of the bubble becomes quite different, the com- pression 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.