Application of the CABARET algorithm for modeling turbulent mixing on the example of the Richtmyer–Meshkov instability

Using previously constructed by authors CABARET algorithm for multicomponent gas mixtures movement calculation, a numerical simulation of a physical instability, emerging during the passage of a shock wave through initially resting boundary between gaseous media with different physical properties, followed by turbulization of the flow in flat geometry. Simulation of two problems is carried out: the passage of a shock wave through a rectangular subdomain filled with heavy gas and the development of Richtmyer–Meshkov instability during the passage of a shock wave through the sinusoidal interface between the media. A comparison of the evolution of the mixing zone width with the experimental, theoretical and numerical results of other authors is conducted.