Publications Details

Assessment of one- and two-equation turbulence models for hypersonic transitional flows

Roy, Christopher J.; Blottner, Frederick G.

A number of one- and two-equation turbulence models are examined for hypersonic perfect- and real-gas flows with laminar, transitional, and turbulent flow regions. These models were generally developed for incompressible flows, and the extension to the hypersonic flow regime is discussed. In particular, inconsistencies in the formulation of diffusion terms for one-equation models are examined. For the Spalart-Allmaras model, the standard method for forcing transition at a specified location is found to be inadequate for hypersonic flows. An alternative transition method is proposed and evaluated for a Mach 8 flat plate test case. This test case is also used to evaluate three different two-equation turbulence models:.a low Reynolds number k - ε model, the Menter k-ω formulation, and the Wilcox (1998) k -ω model. These one- and two-equation models are then applied to the Mach 20 Reentry F flight vehicle. The Spalart-Allmaras model and both k-ω formulations are found to provide good agreement with the flight data for heat flux, while the Baldwin-Barth and low Reynolds number k - ε models overpredict the turbulent heating rates. Careful attention is given to solution verification in the areas of both iterative and grid convergence. © protection in the United States.