NUMERICAL SIMULATION OF THE LAMINAR-TURBULENT TRANSITION IN EXTERNAL AERODYNAMICS PROBLEMS

The results of calculations of flow around a flat plate, circular cylinder and aerodynamic profile based on the numerical solution of the Navier-Stokes equations using different turbulence models (SA, SARC and SALSA) and the γ-Reθ model of the laminar-turbulent transition are compared. The system of initial equations was written with respect to an arbitrary curvilinear coordinate system. The coordination of the pressure and velocity fields was carried out using the method of artificial compressibility modified to calculate non-stationary problems. The integration of initial equations system was carried out numerically using the control volume method. For convective flows, a countercurrent Rogers-Kwak approximation was used based on the third-order Roe scheme. In turbulence models, the TVD scheme with third-order ISNAS flow limiter was used to approximate convective terms. It is shown that the use of the differential γ-Reθ model of the laminar-turbulent transition qualitatively and quantitatively improves the results of numerical modeling.