Assessment of Wall-modeled Large Eddy Simulation For Supersonic Compression Ramp Flows

An assessment of a wall-model technique for large-eddy simulation (LES) is conducted in the context of a supersonic turbulent boundary layer flowing over a compression ramp. Both wall-resolved LES (WR-LES) and wall-modeled LES (WM-LES) calculations are performed of this canonical shock-turbulent boundary layer interaction (STBLI). The free stream Mach number is M∞ = 2.9 and ramp angle β = 24 ◦. Two Reynolds numbers are considered. The first is Reθ = 2400 which is accessible to WR-LES and is used for a direct comparison between WR-LES and WM-LES at matching conditions, while the second Reynolds number, Reθ = 120, 000, is inaccessible to WR-LES and therefore requires a wall modeled approach. Results at both Reynolds numbers are compared against experimental data at matching conditions. The use of WM-LES enables the study of high Reynolds number wall bounded flows that are inaccessible to traditional WR-LES. Analysis of wall-model performance, wall model deficiencies, and possible improvements are discussed.