The cavity collapse induced by the shock wave, especially multiple shock waves, is a compressible multiphase problem which contains transient fluid dynamics and complex physical phenomena. As this problem widely exists in many application fields, for example the spacecraft fuel injection and the extracorporeal shock wave therapy processes, it is necessary to carry out detailed analyses on it. In this study, the interaction process between single/multiple shock waves and the cavity in liquid is numerically simulated based on our in-house compressible multiphase parallel platform. The procedures of wave evolution and cavity collapse under different initial shock wave configurations are investigated in detail. It is found that, comparing with the configuration of one single shock wave, the wave system structures in both the liquid flow field and the cavity are more complex under the configuration of multiple shock waves. However, the cavity collapse processes are quite similar under all these conditions. It is also found that when the total intensity of multiple shock waves, which have interacted with the cavity before the cavity collapsing, is equal to that of the single shock wave, the collapse wave intensities would be quite equivalent. This phenomenon provides a roughly quantified evaluation of the effect of multiple shock waves interacting with the cavity.
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