LES of compression ramp using high-order dynamic SGS modeling

A wall-resolved Large Eddy Simulation (LES) of a supersonic turbulent boundary layer over a compression ramp of angle α = 24◦ is performed using a high-order Spectral Difference (SD) scheme coupled with a bulk-based, low dissipative, Artificial Viscosity (AV) [1] shock-capturing technique. Turbulence modelling is addressed using the recently developed Spectral Element Dynamic model [2] (SEDM), which has been successfully applied previously to both free-shear and wall bounded flows. In the present configuration, Klein’s digital filter technique [3] is employed for the generation of a physically realistic turbulent boundary layer injection. The free stream Mach number is set to Ma = 2.91 and the Reynolds number Re=2900, matching the same conditions of the DNS by Priebe et al..[4] The present test case is of particular interest due to the coexistence of Sub-Grid Scales (SGS) and AV models. Low dissipative shock capturing techniques are of major importance to avoid any non-physical over-dissipation, in particular for turbulent flows with non-negligible compressibility effects. Preliminary results are shown for the present test case and compared with the DNS by Priebe et al. [4][5] and the LES under similar conditions by Dawson et al..[6]