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 e is closed phenomenologically. The stress intensity ratio t12/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.