Abstract
A low-Reynolds number k-ε model is proposed in which the anisotropic production in near-wall regions is accounted for substantially by modifying the model constants Cε(1,2) and adding cross-diffusion terms 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. Unlike the conventional k-ε model, it requires no wall function/distance parameter that bridges the near-wall integration. The model coefficients/functions depend nonlinearly on both the strain-rate and vorticity invariants. 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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