One-Equation Turbulence Model Based on Extended Bradshaw Assumption

A one-equation turbulence model is presented. The modeling tries to adopt a more reliable source and less empirical coefficients. The governing equation is the turbulent kinetic energy equation, in which epsilon is closed phenomenologically. The stress intensity ratio 12/k is calibrated to be a function controlled by the local variables but not a constant 0.3. The extension of the Bradshaw assumption turns out to be of good accuracy, forming a new Reynolds stress constitutive relation. The two model coefficients are both extracted from one slice of the flat-plate boundary layer, yet extensive tests show that the model can significantly improve the precision of prediction for the boundary-layer flows, the adverse pressure gradient, shallow separation, transport effects, and massively separated flows.