A new simpler rotation/curvature correction method for Spalart-Allmaras turbulence model

A new and much simpler rotation and curvature effects factor, which takes the form of Richardson number suggested by Hellsten originally for SST k-omega model, is presented for Spalart and Shur's rotation and correction correction in the context Spalart-Allmaras (SA) turbulence model. The new factor excludes the Lagrangian derivative of the strain rate tensor that exists in the SARC model, resulting in a simple, efficient and easy-to-implement approach for SA turbulence model (denoted as SARCM) to account for the effects of system rotation and streamline curvature, techniquely. And then the SARCM is tested through two turbulent curved wall flows: one is the flow over a zero-pressure-gradient curved wall and the other is the channel flow in a duct with a U-turn. Predictions of the SARCM model are compared with experimental data and with the results obtained using original SA and SARC models. The numerical results show that SARCM can predict the rotation-curvature effects as accurately as SARC, but considerably more efficient. Additionally, the accuracy of SARCM might be strongly depend on the rotation-curvature model constants. Suggesting values for those constants are given, after some trials and errors. (c) 2013 Production and hosting by Elsevier Ltd. on behalf of CSAA & BUAA.