Numerical simulation of the mixing layer problem based on a new two-fluid turbulence model

The paper considers the modeling of a layer of mixing of two flows with different velocities in a flat channel. The calculations are based on the numerical solution of the system of non-stationary equations of the two-fluid turbulence model. The results of longitudinal velocity and turbulent stress profiles in different sections of the channel are obtained. For the numerical implementation of the equations of turbulent hydrodynamics, the control volume method was used, and the relationship between velocities and pressure was found using the SIMPLE procedure. In this case, the convective terms in the equations were approximated by the difference against the flow in an explicit form with a second-order accuracy, and the diffusion terms by the central difference in an implicit form. To confirm the correctness of the obtained numerical results, a comparison was made with experimental data from the NASA database.