Numerical Study on the Evolution of Shock-Accelerated Interface: Influence of the Interfacial Shape

The Richtmyer-Meshkov (RM) instability [1, 2] occurs on a perturbed interface separating two fluids with different densities when impulsively accelerated, which has received much attention because of its academical significance in the field of vortex dynamics and turbulent mixing, and having important applications in inertial confinement fusion, supersonic combustion, and supernova collapse. In the past decades, scientists have performed many experimental, numerical and theoretical researches on RM instability. Numerically, the research work is usually carried out based on the experiment in order to further understand the instability phenomenon. Meyer and Blewett [3] employed a Lagrange algorithm to simulate the process of the RM instability. Later, the front tracking, high order WENO shock-capturing method and LES have also been developed to study the corresponding problems. However, the previous study mainly focused on the circle or single-mode interfaces. Recently, the shock interaction with a rectangular block was studied by Bates

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