A new one-equation turbulence model based on the combined standard k-ε and k-ω turbulence models for benchmark flow configurations

Abstract

A new one-equation turbulence model based on the two-equation standard k-ε and Wilcox's k-ω turbulence models is proposed and developed for validating the benchmark flow configurations. The desirable features of both these two-equation turbulence models are combined into the new one-equation turbulence model in the complete form without neglecting the third-order velocity gradient term than simply assuming that equal coefficients in the diffusion terms. This new one-equation turbulence model is used to simulate for different benchmark flow configurations including the flow over a flat plate at zero pressure gradient, the bump-in-channel flow, the backward facing step flow and the NASA wall-mounted hump separated flow. The numerical results are fully validated and compared with the results of the experimental dataset, the one- and two-equation turbulence models, and the high-accuracy NASA codes (i.e., CFL3D and FUN3D). The new one-equation turbulence model is proved to be more accurate when compared with the one-equation Wray-Agarwal and two-equation shear stress transport (SST) k-ω turbulence models for the benchmark flow configurations.