On numerical and physical boundary conditions for high Reynolds number large-eddy simulation of wall-bounded turbulent flows

We present results of an integrated subgrid modeling and numerical formulation for coarse-resolution, large-eddy simulations of attached, wall-bounded turbulent flows. The modeling approach is based on a combination of the stretched-vortex subgrid model (in the bulk of the flow) with a localized wall-function treatment that relates the instantaneous wall-parallel velocity to the shear stress at the wall. The formulation minimizes numerical errors introduced by the boundary condition treatment while preserving the physical elements required to reproduce the low-order statistics of these flows. The impermeability boundary condition is built into the method such that only the outer-flow solution is simulated and the inner region is modeled. The only allowed physical parameters of the model are those arising from the ``law of the wall,'' explicitly used as part of the closure. Damping functions, a common feature of closures at this level of description, are not used. Simulation results of turbulent channel flow are presented up to Reynolds number based on wall-friction velocity of $10^6$. These are in substantial agreement with experimental data. Further statistical results of the flow and inner region modeling will also be presented.