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

Abstract

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.