Construction and its application of a new one-equation turbulence model

In order to enhance the predictive precision of the influence of Reynolds stress constitutive relation on non-equilibrium turbulent flow and preserve computational efficiency as well, a turbulent kinetic energy k based one-equation (KDO) turbulence model is proposed in this paper. The basic idea of the turbulence model is to recalibrate the original Bradshaw assumption results using the flat plate direct numerical simulation (DNS) data, which makes the local turbulence kinetic energy adaptively adjustable according to the local flow conditions. Meanwhile, the turbulence dissipation rate equation in the standard k-ε model is modeled by using the algebraic type and then a one-equation turbulence model has been completely constructed. The results of test cases showed that the KDO turbulence model could acceptably reflect the log-law. In the cases RAE-2822, ONERA-M6 and DLR-F6 with shock waves or component interferences, the KDO turbulence model is able to control the augmentations and decay of turbulence kinetic energy. Furthermore, comparing with the Spalart-Allmaras and Menter k-ω shear stress transport (SST) models, the KDO turbulence model evidently improved the calculation results.