About intensive turbulent convection in a horizontal layer

Within the frames of non-stationary Navier-Stokes equations direct numerical modeling of turbulent convection in a horizontal layer of a liquid heated from below is performed using the method of Bubnov and Galerkin. The basic attention is given to calculations at superhigh supercriticalities. For the reduction of computations for each (sic) of integration the splitting method is used. It is preliminary shown that for small supercriticality the residual of the (sic) equations is small and the dependence of the residual on number of basic functions and supercriticality was shown. Galerkin conformity of results after applying various schemes of numerical realization of Galerkin method was shown, in particular for stochastic processes at small supercriticality, arising with the formation of "strange" attractors close to Moebius's (sic). Calculations in a wide range of supercriticality from 1 to 34000 are performed. Results of comparison of experiment numerical modelling are shown.