REYNOLDS STRESS TRANSPORT MODELING OF SHOCK-INDUCED SEPARATED FLOW

Predicting the interaction process in transonic flow between the invis cid free stream and the turbulent boundary layer is a challenging task for numerical simulation, which involves complex physical phenomena. In order to capture the physics, a turbulence model capable of account ing for physical phenomena such as streamline curvature, strong non-lo cal effects and history effects, and large irrotational strains should be used. In the present work a second-moment Reynolds Stress Transpor t Model (RSTM) is used for computing transonic flow in a plane channel with a bump. An explicit time-marching Runge-Kutta code is used for t he mean how equations. The convecting terms are discretized using a th ird-order scheme (QUICK), and no explicit dissipation is added. For so lving the transport equations for the Reynolds stresses (u(2)) over ba r, (v(2)) over bar, and <(uv)over bar> as well as k and epsilon an imp licit solver is used which-unlike the Runge-Kutta solver-proved to be very stable and reliable for solving source dominated equations. Secon d-order discretization schemes are used for the convective terms. As t he RSTM is valid only for fully turbulent flow, a one-equation model i s used near the wall. The two models are matched along a pre-selected grid line in the fully turbulent region. The agreement between predict ions and measurements is, in general, good.