On the Evolution of Spherical Gas Interface Accelerated by Planar Shock Wave

Introduction

When a shock wave passes an interface between two fluids with different densities, the initial perturbation on the interface will grow with time, which is known as the Richtmyer-Meshkov (RM)instability [1, 2]. Due to the academic significance in interface stability, vortex dynamics and the formation mechanism of turbulence and many applications such as inertial confinement fusion and supernova explosions, much attention has been paid to the RM instability and turbulent mixing in recent decades. Many groups in different countries, such as America, France, Japan and Israel, have carried out researches respectively and obtained original achievements. Experimentswith air-SF₆ and air-heliumwere conducted in shock tube by Benjamin et al. [3].