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Developments in computational methods for high-lift aerodynamics

Published online by Cambridge University Press:  04 July 2016

D. A. King  and
B. R. Williams
D. A. King
Affiliation:
Research Department, British Aerospace plc, Hatfield
B. R. Williams
Affiliation:
Aerodynamics Department, Royal Aerospace Establishment, Farnborough
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Summary

Viscous/inviscid interaction techniques for calculating the flow about multiple-element aerofoils have been under development in the UK for the last decade producing such programs as MAVIS and HILDA. These methods give reasonable predictions of the lift for viscous attached flow, but fail to give an estimate of the maximum lift and the associated flow separations on the aerofoils. The methods also fail to give adequate predictions of the drag for both attached and separated flow. The disappointing performance of the methods in predicting maximum lift stems primarily from the use of direct methods to solve the first order boundary-layer equations, whilst the poor drag predictions arise from inadequate methods for predicting the development of the flow over the flap. The assumption of incompressible flow could also be a contributory factor in both cases. Methods of overcoming the first restriction are described by using a more appropriate coupling between the inviscid and viscous flows which properly assigns the correct role to each partner in the coupling: this approach is illustrated by ‘semi-inverse’ and ‘quasi-simultaneous’ couplings of a finite-element method for the compressible inviscid flow with an integral method for the boundary layers and wakes. Some methods for calculating the compressible flow about multiple-element aerofoils are also reviewed. However these improvements do not give an adequate estimate of the drag so possible improvements to the calculation of the flow over the flap are discussed.

Information

Type
Research Article
Information
The Aeronautical Journal , Volume 92 , Issue 917 , September 1988 , pp. 265 - 288
Copyright
Copyright © Royal Aeronautical Society 1988 

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References

1. Smith, A. M. O. Aerodynamics of high-lift airfoil systems. AGARD-CP-102, 1972.Google Scholar
2. Butter, D. J. and Williams, B. R. The development and application of a method for calculating the viscous flow about high-lift aerofoils. AGARD-CP-291, Paper 25, 1980.Google Scholar
3. Flores, J., Holst, T. L., Gundy, K. L., Kaynak, U. and Thomas, S. O. Transonic Navier-Stokes wing solution using a zonal approach. Part 1: Solution methodology and code validation. AGARD symposium on ‘Applications of computational fluid dynamics in aeronautics’, April 1986.Google Scholar
4. De vahl davies, G. and Mallinson, G. D. An evaluation of upwind and central difference approximations by study of recirculating flow. Comput Fluids, 1967, 4, 29–43.Google Scholar
5. Maskew, B. and Dvorak, F. A. The prediction of CLmax Using a separated flow model. J Am Helicopter Soc, 1978, 28, 2–8.Google Scholar
6. Mani, K. K. A multiple separation model for multi-element airfoils. AIAA-83-1844, 1983.Google Scholar
7. Fiddes, S. P. A theory of the separated flow past a slender elliptic cone at incidence. AGARD-CP-291, Paper 30, 1980.Google Scholar
8. Blascovich, J. D. Characteristics of separated flow airfoil analysis methods. AIAA-84-0048, 1984.Google Scholar
9. Lock, R. C. and Williams, B. R. Viscous-inviscid interactions in external aerodynamics. Prog Aerosp Sci, 1987, 24, 51–177.Google Scholar
10. Williams, B. R. The prediction of separated flow using a viscous-inviscid interaction method. Aeronaut J, 1985, 89, (885), 185–197.Google Scholar
11. Fiddes, S. P., Kirby, D. A., Woodward, D. S. and Peckham, D. H. Investigation into the effects of scale and compressibility on lift and drag in the RAE 5 m pressurised low-speed wind tunnel. AGARD-CP-365, Paper 2, 1984.Google Scholar
12. Stevens, W. A., Goradia, S. H. and Braden, J. A. Mathematical model for two-dimensional multi-component airfoils in viscous flow. NASA CR-1843, July 1971.Google Scholar
13. Callaghan, J. G. and Beatty, T. V. A theoretical method for the analysis and design of multi-element aerofoils. J Aircr, 1972, 9, (12), 844–848.Google Scholar
14. Seebohm, T. and Newman, B. A numerical method for calculating viscous flow round multiple-section aerofoils. Aeronaut Q, 1975, 26, (3), 176–188.Google Scholar
15. Brune, G. W. and Manke, J. W. Upgraded viscous flow analysis of multi-element aerofoils. AIAA-78-1224, 1978.Google Scholar
16. Halsey, N. D. Conformal-mapping analysis of multi-element airfoils with boundary-layer corrections. AIAA-80-0009, 1980.Google Scholar
17. Oskam, B. Computational aspects and results of low speed viscous flow about multicomponent airfoils. AGARD-CP-291, Paper 19, 1980.Google Scholar
18. Newling, J. C. An improved two-dimensional multi-aerofoil program. HSA-MAE-R-FDM-0007, 1977.Google Scholar
19. East, L. F. A representation of second-order boundary-layer effects in the momentum integral equation and in viscous-inviscid interactions. RAE TR 81002, 1981.Google Scholar
20. Le Balleur, J. C. Strong matching method for computing transonic viscous flows including wakes and separations. Rech Aérosp, 1981, (3), 21–45.Google Scholar
21. Lock, R. C. and Firmin, M. C. P. Survey of techniques for estimating viscous effects in external aerodynamics. In: Roe, P. L. (ed). Proceedings of IMA Conference on Numerical Methods in Aeronautical Fluid Dynamics, Academic Press, 1983, 337–430.Google Scholar
22. Ashill, P. R., Wood, R. F. and Weeks, D. J. An improved, semi-inverse version of the viscous Garabedian and Korn method (VGK). RAE TR 87002, 1987.Google Scholar
23. Green, J. E., Weeks, D. J. and Brooman, J. W. F. Prediction of turbulent boundary layers and wakes in compressible flow by a lag-entrainment method. RAE TR 72231, 1972.Google Scholar
24. Irwin, H. P. A. H. A calculation method for the two-dimensional turbulent flow over a slotted flap. ARC CP-1267, 1974.Google Scholar
25. Cross, A. G. T. Private communication.Google Scholar
26. Butter, D. J. Recent progress on development and understanding of high-lift systems. AGARD-CP-365, Paper 1, 1984.Google Scholar
27. Catherall, D. and Mangler, K. W. The integration of the two-dimensional laminar boundary-layer equations past the point of vanishing skin friction. J Fluid Mech, 1966, 26, (1), 163–182.Google Scholar
28. Carter, J. E. A new boundary-layer iteration technique for separated flow. AIAA-79-1450, 1979.Google Scholar
29. Veldman, A. E. P. The calculation of incompressible boundary layers with strong viscous-inviscid interaction. AGARD-CP-291, Paper 12, 1980.Google Scholar
30. Moses, H. L., Jones, R. R., O’brien, W. F. and Peterson, R. S. Simultaneous solution of the boundary layer and freestream with separated flow. AIAA J, 1978, 16, 61–66.Google Scholar
31. Wai, J. C. and Yoshihara, H. Planar transonic airfoil computations with viscous interactions. AGARD-CP-291, Paper 9, 1980.Google Scholar
32. Cross, A. G. T. Boundary layer calculations and viscous-inviscid coupling, In: ICAS 86, 1986, 2.4.1, 502–512.Google Scholar
33. Drela, M., Giles, M. and Thompkins, W. T. Newton solution of coupled Euler and boundary layer equations. Third Symposium on Numerical and Physical Aspects of Aerodynamic Flows, Paper 2-1.Google Scholar
34. Le Balleur, J. C. and Neron, M. Calcul d’ecoulements visqueux sur profil d’ailes, par une approche de couplage. AGARD-CP-291, Paper 11, 1980.Google Scholar
35. Porcheron, B. and Thibert, J. J. Etude detaillee de l’ecoulement autour d’un profil hypersustente. Comparison avis les calculs. AGARD-CP-365, Paper 4, 1984.Google Scholar
36. Oskam, B., Laan, D. J. and Volkers, D. F. Recent advances in computational methods to solve the high-lift multi-component airfoil problem. AGARD-CP-365, Paper 3, 1984.Google Scholar
37. Hunt, B. (ed). Numerical methods in applied fluid dynamics, Academic Press, London, 1980.Google Scholar
38. Hall, I. M. and Suddhoo, A. Inviscid compressible flow past a multi-element aerofoil. AGARD-CP-365, Paper 5, 1984.Google Scholar
39. Clarke, D. K., Hassam, H. A. and Salas, M. D. Euler calculations for multi-element airfoils using cartesian grids. AIAA-85-0291, 1985.Google Scholar
40. Albone, C. M. and Joyce, G. Mesh generation employing overlying curvilinear and multiply-embedded Cartesian meshes. RAE Report to be published.Google Scholar
41. Hess, J. L. and Smith, A. M. O. Calculation of potential flow about arbitrary bodies. Progress in Aeronautical Sciences, Vol. 8, Pergamon Press, London, 1966.Google Scholar
42. Hill, M. G., Riley, N. and Morton, K. W. An integral method for subcritical compressible flow. J Fluid Mech, 1986, 165, 231–246.Google Scholar
43. Oskam, B. Transonic panel method for the full potential equation applied to multi-component airfoils. AIAA-83-1855, 1983.Google Scholar
44. Hill, M. G. and Riley, N. A hybrid method for transonic flow past multi-element aerofoils. J Fluid Mech, 1986, 170, 253–264.Google Scholar
45. Sinclair, P. M. An exact integral (field panel) method for the calculation of two-dimensional, transonic potential flow around complex configurations. Aeronaut J, June/July 1986, 90, (896), 227–236.Google Scholar
46. Baker, T. J. The computation of transonic potential flow ARA memo No 233, May 1981.Google Scholar
47. Williams, B. R. An exact test case for the plane potential flow about two adjacent lifting aerofoils. ARC R&M No 3717, 1973.Google Scholar
48. Catherall, D. and Johnson, M. A fast method for computing two-dimensional transonic potential flows about arbitrary shapes, using a non-aligned mesh. RAE TR 87001, 1987.Google Scholar
49. Horton, H. P. A semi-empirical theory for the growth and bursting of laminar separation bubbles. ARC CP 1073, 1967.Google Scholar
50. Davis, A. J. The Finite Element Method: A first approach. Oxford University Press, 1980.Google Scholar
51. Habashi, W. G. and Hafez, M. M. Finite element solutions of transonic flow problems. AIAA-81-1472, 1981.Google Scholar
52. Hirsch, C. Finite element methods for potential flows. VKI Lecture Series, 1983-01, 1983.Google Scholar
53. Lighthill, M. J. On displacement thickness. J Fluid Mech, 1958, 4, 383–392.Google Scholar
54. Thwaites, B. Incompressible Aerodynamics. Clarendon Press, Oxford, 1960.Google Scholar
55. Granville, P. S. The calculation of viscous drag of bodies of revolution. David Taylor Model Basin, Report 849, 1953.Google Scholar
56. Van Den Berg, B. Boundary-layer measurements on a two-dimensional wing with a flap. NLR TR 79009U, 1979.Google Scholar
57. Bradshaw, P. Effects of streamline curvature on turbulent flow. AGARDograph no 169, 1973.Google Scholar
58. Gartshore, I. S. Two-dimensional turbulent wakes. J Fluid Mech, 1967, 30, (3), 547–560.Google Scholar
59. Launder, B. E. and Leschziner, M. A. The computation of flow over trailing edge aerofoils: the second year of research. UMIST Rep TFD/85/3R, 1985.Google Scholar
60. Launder, B. E. and Spalding, D. B. The numerical computation of turbulent flow. Comput Meth Appl Mech Eng, 1974, 3, 269–289 Google Scholar
61. Launder, B. E. A generalised algebraic stress transport hypothesis. AIAA J, 1982, 20, 436–437.Google Scholar
62. Mahgoub, H. E. H. and Bradshaw, P. Calculation of turbulent inviscid flow interactions with large pressure gradients. AIAA J, 1979, 17, 1025–1029.Google Scholar
63. Pulliam, T. H. and Chaussee, D. S. A diagonal form of an implicit approximate-factorisation algorithm. J Comput Phys, 1981, 39, (2), 347–363.Google Scholar