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The Richtmyer-Meshkov (RM) instability has long been an interesting subjectdue to its fundamental significance in scientific research, as well as itscrucial role in engineering applications. In this study, the contribution ofshock Mach number on the evolution of the RM instability induced by ashock-accelerated square light bubble is investigated numerically. The squarebubble is composed of helium gas and the surrounding (ambient) gas is nitrogen.Three cases of incident shock strength are considered: Ms = 1.21, 1.7, and 2.1.An explicit mixed-type modal discontinuous Galerkin scheme with uniform meshesis employed to numerically solve a two-dimensional system of unsteadycompressible Navier--Stokes--Fourier equations. The numerical results show thatthe shock Mach number plays an important role during the interaction between aplanar shock wave and a square light bubble. The shock Mach number causessignificant changes in flow morphology, resulting in complex wave patterns,vorticity generation, vortex formation, and bubble deformation. In contrast tolow Mach numbers, high Mach numbers produce the larger rolled-up vortex chains,larger inward jet formation, and a stronger mixing zone with greater expansion.The effects of Mach numbers are explored in detail through phenomena such asthe vorticity generation, and evolutions of enstrophy as well as dissipationrate. Finally, the Mach number effects on the time-variations of the shocktrajectories and interface features are comprehensively analyzed.

Contribution of Mach number on the evolution of Richtmyer-Meshkov instability induced by shock-accelerated square light bubble