Numerical simulation of instability of two-dimensional convergent shock wave propagating in gas

The discontinuity instability and wave front evolution of a cylindrical convergent shock wave propagating in gas were simulated by the CE/SE scheme. The evolution of the interface between the high-pressure driving gas and the low-pressure driven gas was revealed by the level set method. Both the typical spire and bubble discontinuity patterns due to Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instability, and the polygon and petal patterns developed from the initial sine convergent shock wave were obtained. Results demonstrate that the CE/SE scheme is feasible in numerical simulation involving convergent shock wave propagation.