An application of the shear stress transport low-Reynolds-number k-ε turbulence model on turbulent flows

The wall damping effect only can be recovered at the specific Reynolds number in traditional turbulence model due to the lack of considering the Reynolds effect. In order to overcome this drawback, a factor containing different turbulent Reynolds numbers is introduced into the wall damping function. In addition, the Bradshaw assumption is recalibrated by the DNS-data set, and then a smooth changing function is built to blended the two turbulent eddy viscosity coefficients. The two-equation turbulence model based on the recalibrated Bradshaw assumption can be converted to a shear-stress transport model. The new model is validated by a fully-developed turbulent flat plate, an airfoil with separated bubble, a two-dimension bump, and a wing-body with shock/wave boundary interaction, and the results are in good agreement with the experimental data.