A low-Reynolds-number one-equation model of turbulence

Abstract

This work proposes an improved form of Menter's single-equation eddy viscosity transport model. The new transport equation follows from the transformation of the k-ε closure that includes the Yap-correction term, which is known to improve the (k-ε) model's prediction in adverse pressure gradient flows. The damping functions of the (low-Reynolds-number) LRN model are constructed using the ingenious approach of Baldwin and Barth. Hence, the model provides the correct wall-limiting behaviour of turbulence. Furthermore, the destruction term is modified to better account for non-equilibrium anisotropy effects. An assessment of the present proposed model against experiments, as well as Menter and Spalart-Allmaras (SA) turbulence models is provided via several boundary layer computations. Good agreement with experimental data is indicated, which merits the model to be considered for further refinement.