Mach number effects on shock-bubble interaction

An investigation of Mach number effects on the interaction of a shock wave with a cylindrical bubble, is presented. We have conducted simulations with the Euler equations for various incident shock Mach numbers (M-S) in the r ange of 1.22 less than or equal to M-S less than or equal to 6, using high- resolution Godunov-type methods and an implicit solver. Our results are fou nd in a very good agreement with previous investigations and further reveal additional gasdynamic features with increasing the Mach number. At higher Mach numbers larger deformations of the bubble occur and a secondary-reflec ted shock wave arises upstream of the bubble. Negative vorticity forms at a ll Mach numbers, but the "c-shaped" vortical structure appeared at M-S = 1. 22 gives its place to a circular-shaped structure at higher Mach numbers. T he computations reveal that the (instantaneous) displacements of the upstre am, downstream and jet interfaces are not significantly affected by the inc ident Mach number for values (approximately) greater than M-S = 2.5. With i ncreasing the incident Mach number. the speed of the jet (arising from the centre of the bubble during the interaction) also increases.