Numerical simulations of Rayleigh-Taylor and Richtmyer-Meshkov instability using MAH-3 code

Results of the 2D and 3D numerical modeling of the Rayleigh-Taylor and the Richtmyer-Meshkov instabilities are presented. The modeling is performed by using the MAH-3 code enabling to solve nonsteady-state 3D gas-dynamic problems. Brief description of the numerical model is given. For the Rayleigh-Taylor instability, the evolution of single-mode interface perturbations is studied both at the linear and nonlinear stages. The case of the Richtmyer-Meshkov instability is considered to investigate the evolution of single-mode perturbations into the turbulent stage. Single-mode perturbation growth rates are compared for the cases of the 2D and 3D modeling. To represent the growth of stochastic perturbations under the Rayleigh-Taylor instability in the calculations, conditions of diagnosing the stage of self-similar turbulent mixing were proposed.