Turbulence Modeling for Steady Three-Dimensional Supersonic Flows

摘要

The Jones and Launder two-equation model of turbulence has been formulated and applied to the solution of supersonic, three-dimensional flow and the results compared to experimental data. Two solution techniques were studied, the boundary layer theory approach and the parabolized Navier-Stokes method formulated in a body fitted coordinate system. The K-E turbulence model results were compared with an algebraic turbulence model as applied to the prediction of flow about a spinning ogive-cylinder-boattail configuration. The K-E model gave slightly superior results in both the boundary layer and PNS computations. Rotta's non-isotropic theory for the Reynolds stresses was incorporated into the formulation. Results for the small angle of attack configuration showed little effect of non-isotropy. The cross flow properties are the most strongly affected. Bradshaw's streamline curvature theory was also considered and the results show negligible influence for the present case.