Reynolds number k-ε model for near-wall flow

A wall-distance free k-epsilon turbulence model is developed that accounts for the near-wall and low Reynolds number effects emanating from the physical requirements. The model coefficients/functions depend non-linearly on both the strain rate and vorticity invariants. Included diffusion terms and modified C-epsilon(1,2) coefficients amplify the level of dissipation in non-equilibrium flow regions, thus reducing the kinetic energy and length scale magnitudes to improve prediction of adverse pressure gradient flows, involving flow separation and reattachment. The model is validated against a few flow cases, yielding predictions in good agreement with the direct numerical simulation (DNS) and experimental data. Copyright (C) 2005 John Wiley Sons, Ltd.