The research of cross-flow instabilities transition prediction method based on spalart-allmaras-gamma-theta transition model

The prediction of cross-flow instabilities transition phenomenon is difficult to be combined with modern CFD parallel computation. To solve this problem, on the basis of SA-γ-Re_θt transition model, a new transition model is presented here, which solves cross-flow displacement thickness Reynolds number locally using three-dimentional boundary layer similar solution and also sets cross-flow instabilities transition criterion referring to C1-criterion. Thereby, it can solve the cross-flow instabilities transition prediction method locally and parallelly. Then, adopting the present SA-γ-Re_θt - CF transition model, numerical simulations of cross-flow instabilities transition are conducted for both infinite swept NLF(2)-0415 wing and standard 6%1 prolate spheroid. And calculating transition locations are in good agreement with experimental data, which demonstrates the rationality of the model presented.