On the Turbulence-Modeling Requirements of Three-Dimensional Boundary-Layer Flows
Appropriate three-dimensional equations have been solved, in finite-difference form, and with boundary conditions corresponding to the infinite swept wing of van den Berg and Elsenaar and the full three-dimensional data of East and Hoxey. In the former case, results were obtained with an algebraic eddy-viscosity formulation and a two-equation model which allows for transport of turbulence kinetic energy and dissipation rate. The results show that both models yield similar mean-flow characteristics, provided the same wall boundary conditions are employed, and that these deviate from the measurements with increasing adverse pressure gradient. As with previous investigations of two-dimensional flows, the procedure used to generate the initial turbulence energy profile can significantly influence the calculated results. The calculations of the fully three-dimensional flow made use of the algebraic eddy-viscosity formulation and, in keeping with the previous results for two-dimensional flows and the swept wing, the agreement with measurements is excellent until the separation region is approached.
Unable to display preview. Download preview PDF.
- 1.Cebeci, T. and Meier, H.U.: Modeling Requirements for the Calculation of the Turbulent Flow Around Airfoils, Wings and Bodies of Revolution. AGARD Conference on Turbulent Boundary Layers; Experiments, Theory and Modeling, Den Haag, the Netherlands, 26–26, 1979.Google Scholar
- 2.Coles, D. and Hirst, E.A.: Computation of Turbulent Boundary Layers — 1968, AFOSR-IFD-Stanford Conference, Vol. 2, Thermoscience Division, Stanford University, Stanford, 1969.Google Scholar
- 4.Hanjalic, K. and Launder, B.E.: Sensitizing the Dissipation Equation to Irrotational Strains. J. Fluid Engineering, Trans. ASME, Vol. 102, Mar. 1980.Google Scholar
- 5.Cebeci, T. and Huang, T.T.: Description of Two Turbulence Models Used in the Finite-Difference Calculation of Three-Dimensional Boundary Layers. Proceedings of Berlin Workshop on Three-Dimensional Boundary Layers, Apr. 1982.Google Scholar
- 6.Keller, H.B.: A New Difference Scheme for Parabolic Problems. In Numerical Solution of Partial-Differential Equations. Bramble, J. (ed.), Vol. II, Academic Press, New York, 1970.Google Scholar
- 7.Bradshaw, P., Cebeci, T. and Whitelaw, J.H.: Engineering Calculation Methods for Turbulent Flows, Academic Press, London, 1981.Google Scholar
- 8.Van den Berg, B., and Elsenaar, A.: Measurements in a Three-Dimensional Incompressible Turbulent Boundary Layer in an Adverse Pressure Gradient Under Infinite Swept-Wing Conditions. NLR TR 72092U, 1972.Google Scholar
- 9.East, L.F. and Hoxey, R.P.: Low-Speed Three-Dimensional Turbulent Boundary-Layer Data, Pt. l, Royal Aircraft Establishment, Farnborough, England, TR 69041, Mar. 1969.Google Scholar