Deformation Problems of Gas Interfaces of Different Densities Generated by Shock Waves. Light/Heavy Interface.

Abstract

This paper reports numerical and analytical studies of the interaction problem between a gas interface of different densities and shock waves. The interface is formed between air and SF6 (light/heavy interface, i. e., the incident shock wave propagates from air to SF6), and there is a sinusoidal perturbation on the initial interface. The interface deformation process and the growth rate of a sinusoidal perturbation on the interface are investigated after shock wave interaction. Numerical simulation is carried out using the second-order TVD finite difference scheme, and the Euler equations are solved. Theoretical impulsive growth rate obtained using the stable velocities on the interface after shock interaction is compared with results of the numerical simulation. In the case of incident shock Mach numbers Ms < 2 and amplitudes of perturbed interface η0k < 1, good agreement is obtained.