Shear-improved Smagorinsky model for large-eddy simulation of wall-bounded turbulent flows

A shear-improved Smagorinsky model is introduced based on results concerning mean-shear effects in wall-bounded turbulence. The Smagorinsky eddy-viscosity is modified as v(T) = (C-s Delta)(2)(vertical bar(S) over bar vertical bar-<(S) over bar > (g 1): the magnitude of the mean shear vertical bar(< S >) over bar vertical bar is subtracted from the magnitude of the instantaneous resolved rate-of-strain tensor vertical bar(S) over bar vertical bar; C-S is the standard Smagorinsky constant and A denotes the grid spacing. This subgrid-scale model is tested in large-eddy simulations of plane-channel flows at Reynolds numbers Re-tau = 395 and Re-tau = 590. First comparisons with the dynamic Smagorinsky model and direct numerical simulations for mean velocity, turbulent kinetic energy and Reynolds stress profiles, are shown to be extremely satisfactory. The proposed model, in addition to being physically sound and consistent with the scale-by-scale energy budget of locally homogeneous shear turbulence, has a low computational cost and possesses a high potential for generalization to complex non-homogeneous turbulent flows.