Numerical modeling of turbulent flow in a plane channel on the basis of the Cabaret scheme

Some results of modeling the classical problem of flow of a viscous incompressible fluid in a plane channel at the Reynolds numbers equal to 5600, 13750, and 21900 using the Cabaret scheme are discussed. The computations are performed for the complete turbulence spectrum resolution (direct numerical simulation) and for the incomplete resolution. In the latter case, the grids typical for the large eddy simulation of near-wall turbulent flows are used. In order to obtain a more accurate representation of the momentum transfer toward the wall, some artificial boundary conditions are introduced. This allows us to model the mean flow characteristics with a higher accuracy. The numerical results obtained by the Cabaret scheme are compared with the numerical results obtained by the pseudospectral method.