It is proposed to use a numerical method based on realization of splitting into physical processes for numerical investigations of the convective flows. The scheme guarantees an energetic neutrality of the velocity field and has a property of stability in linear approximation. Splitting into convective and diffusive transfer is realized in the equations of convection. The paper describes the features of realization of the stages, test problems and results of testing of the numerical algorithms.

Key words: convective flows, convection, diffusion, splitting methods, splitting into physical processes, numerical algorithm.