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This paper considers the unstable stratified turbulent flow in an open channel. A mathematical model of unstable stratified turbulent flow is introduced, which allows to assess the mean and fluctuation characteristics of the turbulent flow. The numerical algorithm is developed for solving this problem. A numerical method is based on the projection method, which divides the problem into three stages. At the first stage, it is assumed that the transfer of momentum occurs only by convection and diffusion. Intermediate velocity field is solved by fractional steps method. At the second stage, three-dimensional Poisson equation is solved by the Fourier method in combination with tridiagonal matrix method (Thomas algorithm). Finally, at the third stage, it is expected that the transfer is only due to the pressure gradient. The simulation results are in satisfactory agreement with the experimental data.

In the research the numerical simulation of the room's ventilation was performed on the basis of the large eddy simulation. The numerical algorithm was developed by using the physical parameters splitting scheme. Poisson equation for pressure field is solved by Fourier method in combination with tridiagonal matrix method for determination of Fourier coefficients. The parallel programming technique MPI in combination with directives of OpenMP was applied to solve the assign task, as the most relevant for today and the most efficient a view of the productivity improvement of complex calculations. Simulation data are represented as three-dimensional graphs.Mathematics Subject Classification: 68M14, 76D05, 76F65

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