A dynamic wall-model for large-eddy simulation of high reynolds number shock-induced separated flows

We propose a simple yet efficient dynamic wall-model for large-eddy simulation (LES) that accurately predicts the turbulent statistics (most importantly, the predicted skin friction) and makes the LES applicable at realistic high Reynolds numbers. The pro- posed wall model stems directly from considerations of how turbulence length scales behave in the logarithmic layer, and thus in other words the method is based solidly on physical reasoning. To be applicable to separated flows, the non-equilibrium ef- fects are involved in the model, thus the model does not assume equilibrium boundary layer. Supersonic turbulent boundary layer on a flat plate at high Reynolds num- bers are first used to verify the proposed model, and then the wall-modeled LES is applied to the shock-wave/turbulent boundary layer interacting separated flow at the higher Reynolds number (freestream Mach number of 1.69 and Reynolds number of Re = 50, 000). The resulting method is shown to accurately predict equilibrium boundary layer at very high Reynolds numbers, with both realistic instantaneous fields (without overly elongated unphysical near-wall structures) and accurate statistics (both skin friction and turbulence quantities). Careful validations on the non-equilibrium separated flows will be discussed at the presentation.