Publications Details

Development of one-equation transition / turbulence models (AIAA Paper 2000-0133)

Roy, Christopher J.; Blottner, Frederick G.

This paper reports on the development of a unified,one-equation model for the prediction of transitional and turbulent flows. An eddy viscosity - transport equation for nonturbulent fluctuation growth based on that proposed by Warren and Hassan (Journal of Aircraft, Vol. 35, No. 5) is combined with the Spalart-Allmaras one-equation model for turbulent fluctuation growth. Blending of the two equations is accomplished through a multidimensional intermittency function based on the work of Dhawan and Narasimha (Journal of Fluid Mechanics, Vol. 3, No. 4). The model predicts both the onset and extent of transition. Lowspeed test cases include transitional flow over a Aat plate, a single element airfoil, and a multielement airfoil in landing configuration. Highspeed test cases include transitional Mach 3.5 flow over a 5° cone and Mach 6 flow over a flaredcone configuration. Results are compared with experimental data, and the grid-dependence of selected predictions is analyzed. © 1999 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.