Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-25T05:50:04.914Z Has data issue: false hasContentIssue false
  • English
  • Français

A calculation method for two-dimensional wall-bounded turbulent flows

Published online by Cambridge University Press:  04 July 2016

L. J. Johnston
L. J. Johnston*
Affiliation:
Aircraft Research Association Limited, Bedford
Get access Rights & Permissions [Opens in a new window]

Summary

A method to calculate two-dimensional or axisymmetric, compressible, wall-bounded viscous flows is described. The solution procedure involves a finite-difference discretisation of the governing flow equations. A number of novel normal co-ordinate transformations are used to enable efficient use to be made of the computational grid points. The implementation of zero-, one- and two-equation turbulence models is described. Results are presented for a range of compressible boundary-layer flows, and for an incompressible wake/ boundary layer mixing flow.

Type
Research Article
Information
The Aeronautical Journal , Volume 90 , Issue 895 , May 1986 , pp. 174 - 184
Copyright
Copyright © Royal Aeronautical Society 1986 

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. Coakley, T. J. Turbulence modelling methods for the com pressible Navier-Stokes equations. AIAA Paper 83–1693, 1983.Google Scholar
2. Viegas, J. R. and Rubesin, M. W. Wall-function boundary conditions in the solution of the Navier-Stokes equations for complex compressible flows. AIAA Paper 83–1694. 1983.Google Scholar
3. Rubesin, M. W., Crisalli, A. J., Lanfranco, M. J., Horstman, C. C. and Acharya, M. A critique of some recent second-order, turbulence closure models for compressible boundary layers. AIAA Paper 77–128, 1977.Google Scholar
4. Cebeci, T. and Smith, A. M. O. Analysis of turbulent boundary layers. Academic Press, 1974.Google Scholar
5. Carter, J. E. Viscous-inviscid interaction analysis of transonic turbulent separated flow. AIAA Paper 81–1241, 1981.Google Scholar
6. East, L. F. A prediction of the law of the wall in compressible three dimensional turbulent boundary layers. RAE TR 72178, 1972.Google Scholar
7. Lewkowicz, A. K. An improved universal wake function for turbulent boundary layers and some of its consequences. Z Flugwiss. Weltraumforsch 6, Heft 4, pp 261/6, 1982.Google Scholar
8. van driest, E. R. Turbulent boundary layer in compressible fluids. J Aero Sci, 1951. 18, 145/160 and 216.Google Scholar
9. Leonard, B. P. A survey of finite differences of opinion on numerical muddling of the incomprehensible defective confusion equation. ASME, AMD Vol 34, Finite Element Methods for Convection Dominated Flows, 1979.Google Scholar
10. Johnston, L. J. A calculation method for two-dimensional or axisymmetric compressible boundary layer flows. ARA Report 65, 1985.Google Scholar
11. Johnston, L. J. A one-equation turbulence model for boundary layer flows. ARA Memo 257, 1985.Google Scholar
12. Chien, K-Y. Predictions of channel and boundary-layer flows with a low-Reynolds number turbulence model. AIAA J. 1982, 20, 1, 33/8.Google Scholar
13. Patel, V. C., Rodi, W. and Scheuerer, G. Turbulence models for near-wall and low Reynolds number flows: a review. AIAA J, 1985, 23, 9, 1308/1319.Google Scholar
14. Hassid, S. and Poreh, M. A turbulent energy model for flows with drag reduction. Trans ASME, J Fluids Eng, 1975, 97, 234/241.Google Scholar
15. Wilcox, D. C. Algorithm for rapid integration of turbulence model equations on parabolic regions. AIAA J, 1981, 19, 2, 248/250.Google Scholar
16. Hastings, R. C. and Sawyer, W. G. Turbulent boundary layers on a large flat plate at M = 4. RAE TR 70040, 1970.Google Scholar
17. Samuel, A. E. and Joubert, P. N. A boundary layer developing in an increasingly adverse pressure gradient. J. Fluid Mech, 1974, 66, 481/505.Google Scholar
18. Lewis, J. E., Gran, R. L. and Kubota, T. An experiment on the adiabatic compressible turbulent boundary layer in adverse and favourable pressure gradients. J. Fluid Mech, 1972, 51, 657/672.Google Scholar
19. Stanewsky, E., Puffert, W., Muller, R. and Bateman, T. E. B. Supercritical airfoil CAST 7 — Surface pressure, wake and boundary layer measurements. AGARD AR 138, 1979.Google Scholar
20. Horstman, C. C. and Owen, F. K. Turbulent properties of a compressible boundary layer. AIAA J, 1972, 10, 11,1418/1424.Google Scholar
21. Zhou, M. D. and Squire, L. C. The interaction of a wake with a boundary layer, Data report. Cambridge University Engineering Department, Report A-Aero, TR11, 1981.Google Scholar
22. Johnston, L. J. Calculation of wake/boundary layer mixing flows using a two-equation turbulence model. ARA Memo 258, 1985.Google Scholar