On the Turbulence-Modeling Requirements of Three-Dimensional Boundary-Layer Flows

  • Tuncer Cebeci
  • K. C. Chang


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.


Turbulence Model Turbulent Boundary Layer Adverse Pressure Gradient Separation Line Wall Boundary Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 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. 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
  3. 3.
    Cebeci, T. and Smith, A.M.O.: Analysis of Turbulent Boundary Layers, Academic Press, New York, 1974.MATHGoogle Scholar
  4. 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. 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. 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. 7.
    Bradshaw, P., Cebeci, T. and Whitelaw, J.H.: Engineering Calculation Methods for Turbulent Flows, Academic Press, London, 1981.Google Scholar
  8. 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. 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

Copyright information

© Springer-Verlag Berlin Heidelberg 1982

Authors and Affiliations

  • Tuncer Cebeci
    • 1
  • K. C. Chang
  1. 1.Douglas Aircraft CompanyLong BeachUSA

Personalised recommendations