Hostname: page-component-77c89778f8-fv566 Total loading time: 0 Render date: 2024-07-18T09:32:49.899Z Has data issue: false hasContentIssue false
  • English
  • Français

Development and assessment of computer methods for three-dimensional turbulent boundary layers

Published online by Cambridge University Press:  04 July 2016

J. Wu  and
U. R. Müller
J. Wu
Affiliation:
Aerodynamisches Institut, Rheinisch-Westfälische, Technische Hochschule Aachen, Aachen, FR Germany
U. R. Müller
Affiliation:
Aerodynamisches Institut, Rheinisch-Westfälische, Technische Hochschule Aachen, Aachen, FR Germany
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper describes the development of a finite difference method that solves the boundary-layer equations for three-dimensional compressible turbulent flows. The most prominent achievements are the employment of a Newton technique for the simultaneous solution of all governing equations, an option to choose an algebraic or a k-ε eddy-viscosity turbulence model, and the flexible use of curvilinear coordinates. The method is validated by comparisons with a number of experimental and theoretical data sets of three-dimensional, compressible and incompressible, steady and unsteady boundary layers. In parallel, the performance of a three-dimensional compressible industrial integral boundary-layer technique is evaluated by comparisons with experimental test cases and with the results of the field method.

Type
Research Article
Information
The Aeronautical Journal , Volume 103 , Issue 1024 , June 1999 , pp. 287 - 297
Copyright
Copyright © Royal Aeronautical Society 1999 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Lakshminarayana, B. Turbulence modelling for complex shear flows. AIAA J, 1986, 24, (12), pp 1900.Google Scholar
2. Krause, E. Numerical solution of the boundary-layer equations. AIAA J, 1967, 5, (7), pp 1231.Google Scholar
3. Krause, E. Hirschel, E.H. and Bothmann, Th. Differenzenformeln zur Berechnung dreidimensionaler Grenzschichten. DLR Forschungsbericht, FB 69-66, 1969.Google Scholar
4. East, L.F. Computation for three-dimensional turbulent boundary-layers. FFATN, AE-1211 1975.Google Scholar
5. Fernholz, H.H. and Krause, E. (Eds) IUTAM Symposium on Three Dimensional Turbulent Boundary Layers, March 1982, Berlin. Springer, 1982.Google Scholar
6. Van den berg, B., Humphreys, D.A., Krause, E. and Lindhout, J.P.F. (Eds) Three-dimensional turbulent boundary-layers — calculations and experiment. Notes on Numerical Fluid Mechanics, Vieweg, 1988, 19.Google Scholar
7. Le Balleur, J.C. and Girodroux-Lavigne, P. Calculation of fully three-dimensional separated flows with an unsteady viscous-inviscid interaction method. In: Fifth Int Symp on Numerical and Physical Aspects of Aerodynamic Flows, Long Beach, 1992.Google Scholar
8. Müller, U.R. and Henke, H. Computation of subsonic viscous and transonic viscous-inviscid unsteady flow. Computers Fluids, 1993, 22, (4/5), pp 649–661.Google Scholar
9. Müller, U.R. Comparison of three-dimensional turbulent boundary-layer calculations with experiment. In: Three-Dimensional Turbulent boundary-layers (IUTAM Symposium, Berlin): Fernholz, H.H. and Krause, E., Springer (Eds), 1982.Google Scholar
10. Wu, J. Berechnung zwei-und dreidimensionaler turbulenter Grenzschichten. Dissertation Rheinisch-Westfalische Technische Hochschule Aachen, 1989.Google Scholar
11. Johnston, L.J. A solution method for the three-dimensional compressible turbulent boundary-layer equations. Aeronaut J, 1989, 93, (924), pp 115–131.Google Scholar
12. Müller, U.R., Henke, H. and Dau, K. Computation of viscous phenomena in unsteady transonic flow. In: AGARD-CP-507 Transonic Unsteady Aerodynamics and Aeroelasticity, 1992.Google Scholar
13. Rotta, J.C. A family of turbulence models for three-dimensional thin shear layers. In: 1st Symposium on Turbulent Shear Flows, Pennsylvania State Univ, 1977.Google Scholar
14. Chien, K.-Y. Prediction of channel and boundary-layer flow with a low-Reynolds-number turbulence model. AIAA J, 1982, 20, (1), pp 33.Google Scholar
15. Swafford, T.W. and Whitfield, D.L. Time-dependent solution of three-dimensional compressible integral boundary-layer equations. AIAA J, 1985, (7), pp 763.Google Scholar
16. Spalart, Ph. R. Theoretical and numerical study of a three-dimensional turbulent boundary-layer. J Fluid Mech., 1989, 205, pp 319.Google Scholar
17. Müller, U.R. Measurement of the Reynolds stresses and the mean- flow field in a three-dimensional pressure-driven boundary-layer. J Fluid Mech, 1982, 119, pp 121.Google Scholar
18. Pironneau, O. et al (eds.) Numerical Simulation of Unsteady Flows and Transition to Turbulence, Cambridge University Press, 1992.Google Scholar
19. Wu, J., Müller, U.R. and Krause, E. Computation of the 3D turbulent boundary-layer in an S-shaped channel. In: Pironneau, O. et al (Eds) Numerical Simulation of Unsteady Flows and Transition to Turbulence, Cambridge University Press, 1992.Google Scholar