Abstract
This work is devoted to the mathematical and numerical modeling of atmospheric processes based on the ensemble-averaged Navier-Stokes equations with the implementation of large eddy simulation. Within the real scientific research work are shown features of modeling atmospheric processes, the mathematical model of dynamic processes was developed in the average atmosphere, the numerical scheme and algorithm of the problem solution were developed, and realization of the problem characterized by instability of Rayleigh-Taylor about convective mass substances transfer with various densities was made.
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