Numerical insights into the solution of transonic flow test cases using the Wilcox k - ω, EASM and SST models

This paper demonstrates how compressibility correlations improve the numerical solution of the Wilcox k-ω model for a 2-d flow with shock, separation, and reattachment but then other test cases will be examined to see if an improvement still holds true. The SST and EASM models also have ways of handling complex flows and will be tested and compared. Of the three correlations, the Sarkar correlation shows the best agreement with experiment because it allows the closure coefficient β to go above its fully turbulent value of 0.09, which reduces k and allows the separation region to increase. A new technique, called 3-term, is used to calculate the turbulent production. This technique shows much improvement over a central difference scheme because it uses three points to approximate the derivative, which is important for the calculation of production in separated flows.