Numerical simulations of the Richtmyer-Meshkov instability with reshock

Two-dimensional simulations of the Richtmyer-Meshkov instability with re-shock are carried out based on the single-mode Mach 1.21 air/SF6 shock tube experiments of Collins and Jacobs. A second-order accurate MUSCL-Hancock scheme and several high-order WENO schemes are used for shock capturing along with a gamma-based model for interface capturing to allow for the stable and accurate representation of fluids of different ratios of specific heats. The present results are compared qualitatively and quantitatively with existing theoretical models, experimental data and computational results. Good quantitative agreement with the observed amplitude growth, interface velocity and time of reshock are achieved. The amount and role of numerical dissipation of different schemes on the physical properties of the flow such as the circulation, enstrophy, mixing and kinetic energy of the small scales are also investigated.