Large-eddy simulations are used to investigate a supersonic wall-bounded turbulent corner flow. Solutions are obtained using a high-fidelity time-implicit numerical scheme and an implicit large-eddy simulation approach. The inclusion of the sidewall leads to the development of a corner core flow which grows in size as the flow progresses downstream. A grid resolution study, with over a billion cells for the fine grid, is performed and both mean and time-accurate statistics are analyzed. The solutions are compared to a spanwiseperiodic flat-plate turbulent boundary layer developed at the same conditions and yield similar results when measured sufficiently far from the corner. Two-point autocorrelations verify that the domain's cross-sectional area is sufficient to de-correlate the corner core flow front eh turbulent equilibrium boundary-layer developed on each of the adjoining flat-plate walls. In addition, triple products are collected and demonstrate that the corner-dominated flow is significantly different from the rest of the domain.
Nomenclaturewhere s is the wall normal direction E = total specific energy F, G, H = inviscid vector fluxes F v , G v , H v = viscous vector fluxes J = transformation Jacobian = geometry length M = Mach number p = nondimensional static pressure Re = Reynolds number, ρ ∞ u ∞ /µ ∞ t = nondimensional time T = nondimensional static temperature U = conserved variable vector u, v, w = nondimensional Cartesian velocity components in the x, y, z directions x, y, z = streamwise, normal, and spanwise directions in nondimensional Cartesian coordinates y + = nondimensional wall distance normalized by local inner scales, u τ ρ w y/µ w δ = boundary-layer thickness, 0.99 u ∞ ξ, η, ζ = computational coordinates θ = compressible boundary-layer momentum thickness, ∞ 0 ρ u ρ∞ u∞ 1 − u u∞ dy µ = dynamic viscosity ρ = nondimensional density τ ij = components of the viscous stress tensor Subscript w = wall ∞ = freestream * Research Aerospace Engineer, AFRL/RQHF. Senior Member AIAA.