Abstract
A low-Reynolds number κ-ε~ model is proposed in which the anisotropic production in near-wall regions is accounted for substantially by adding the cross-diffusion term in the ε~ equation. Hence, it reduces the kinetic energy and length scale magnitudes to improve prediction of adverse pressure gradient flows, involving flow separation and reattachment. The elliptic relaxation function induces the eddy viscosity damping such that it mimics the wall-limiting behaviour. The anisotropic nature of turbulence is introduced with turbulent Prandtl numbers σ(κ,ε) such as to provide substantial turbulent diffusion in near-wall regions. The model is validated against a few flow cases, yielding predictions in good agreement with the Direct Numerical Simulation (DNS) and experimental data.
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