A DES Procedure Applied to a Wall-Mounted Hump

This paper describes a detached-eddy simulation(DES) for the flow over a wall mounted hump using MBFLO31,2. The Reynolds number based on the hump chord is Rec = 9.36×105 with an inlet Mach number of 0.1. Solutions of the three-dimensional Reynolds-averaged NavierStokes(RANS) procedure are obtained using the Wilcox k − ω equations. The DES results are obtained using the model presented by Bush and Mani3 and are compared with RANS solutions and experimental data from NASA’s 2004 Computational Fluid Dynamics Validation on Synthetic Jets and Turbulent Separation Control Workshop4,5. The DES procedure exhibited a three-dimensional flow structure in the wake, with a 13.65 % shorter mean separation region compared to RANS and a mean reattachment length that is in good agreement with experimental measurements. DES predictions of the pressure coefficient in the separation region also exhibit good agreement with experiment and are more accurate than RANS predictions. Nomenclature E total energy e internal energy H total enthalpy h static enthalpy k turbulent kinetic energy p pressure Pr Prandtl number Prt turbulent Prandtl number Sij mean strain-rate tensor ui velocity component V velocity magnitude µ coefficient of viscosity µT turbulent coefficient of viscosity ω turbulent dissipation frequency τ̂ij total shear stress tensor τij laminar shear stress tensor τRij Reynolds shear stress tensor ρ density Tu Freestream turbulence level as % ldis dissipation length scale Cdes DES coefficient