Direct Numerical Simulation Method of Turbulence Taking the History of the Process into Account

Abstract: A new approach to the direct numerical modeling (DNM) of the turbulent mixing of miscible and immiscible materials of different densities is proposed. The idea of the approach is to separate the states of homogeneous mixtures from heterogeneous ones, consisting of fragments with interfaces, in mixed cells containing mixing substances. This article describes a 2D technique developed in the Euler gas dynamics with concentrations (EGAK) code to realize the approach described above. The method is verified using a classical problem of turbulent mixing arising due to the Rayleigh–Taylor instability at the constant acceleration of the interface between two gases of different densities. © 2023, Pleiades Publishing, Ltd.