Simulation of Turbulent Mixing by the CABARET Algorithm for the Case of a Richtmyer–Meshkov Instability

Abstract

The CABARET algorithm constructed earlier by the authors for calculating the motion of multicomponent gas mixtures is used for the numerical simulation of a physical instability evolving when a shock wave passes through an initially quiescent interface of gaseous media with different physical properties, which is followed by the turbulization of the flow in the planar geometry. The following two problems are simulated: the passage of a shock wave through a rectangular subdomain filled with a heavy gas and the development of a Richtmyer–Meshkov instability during the passage of a shock wave through a sinusoidal media interface. The obtained evolution of the width of the mixing zone is compared with the experimental, theoretical, and numerical results of other authors.