Turbulence models for 3D transonic viscous flows

Computation of 3D transonic viscous flows around the ONERA-M6 wing is performed by using the Harten-Yee TVD scheme with modification of geometrical treatment in order to seek better turbulence models. The models used here are the Jones--Launder (k-E )-model and the subgrid-scale model in the large eddy simulation (US), and for comparison the Baldwin-Lomax model. The diagonalization of flow equation system including a two-equation model necessary to perform the TVD scheme and the improvement accompanied by extending the LES to compressible flow problems are presented, and then the utilities of both models in compressible flow problems with shock waves have been j nvestigated. The (kE )-model and the LES work well in the large reverse flow problem by adjusting the coefficients compared with the Baldwin-Lomax model.