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An overview of the numerical model, developed at Research Computing Center of Lomonosov Moscow State University and Marchuk Institute of Numerical Mathematics, for simulations of geophysical turbulence is given. The model uses three approaches for turbulence modelling: direct numerical simulation (DNS), large-eddy simulation (LES) and Reynolds averaged Navier-Stokes (RANS). Numerical aspects and implementation of the model for modern massively parallel supercomputers is discussed.