Optimization using surrogate models and partially converged computational fluid dynamics simulations

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 462, Issue 2071, 2006, Pages 2177-2204

  Forrester, Alexander I J ^a   Bressloff, Neil W ^a   Keane, Andy J ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Computational fluid dynamics; Data fusion; Design of experiment; Kriging

Indexed keywords

EID: 33750566009     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2006.1679     Document Type: Article

References (36)

1. Alexandrov, N. M., Lewis, R. M., Gumbert, C. R., Green, L. L. & Newman, P. A. 2001 Approximation and model management in aerodynamic optimization with variable-fidelity models. J. Aircraft 38, 1093-1101.
2. Balabanov, V. O., Giunta, A. A., Golovidov, O., Grossman, B., Mason, W. H., Watson, L. T. & Haftka, R. T. 1999 Reasonable design space approach to response surface approximation. J. Aircraft 36, 308-315.
3. Box, G. E. P. & Draper, N. R. 1987 Empirical model-building and response surfaces. Wiley series in probability and mathematical statistics. New York: Wiley.
4. Cousin, J. & Metcalf, M. 1990 The BAE Ltd transport aircraft synthesis and optimization program. In AHS, and ASEE, Aircraft Design, Systems and Operations Conference, Dayton, OH, 17-19 September 1990.
5. Cressie, N. 1989 Geostatistics. Am. Stat. 43, 197-202.
6. Dadone, A. & Grossman, B. 2003 Fast convergence of inviscid fluid dynamic design problems. Comput. Fluids 32, 607-627. (doi:10.1016/S0045-7930(01) 00090-1)
7. Edwards, A. L. 1976 An introduction to linear regression and correlation. San Francisco, CA: W. H. Freeman.
8. Fluent 2003 Fluent user guide. Lebanon: Fluent.
9. Forrester, A. I. J. 2004 Efficient global optimisation using expensive CFD simulations. Ph.D. thesis, University of Southampton, UK.
10. Forrester, A. I. J., Bressloff, N. W. & Keane, A. J. 2003 Response surface model evolution. In Sixteenth AIAA Computational Fluid Dynamics Conference, Orlando, FL, AIAA-2002-4089, 23-26 June 2003.
11. Giannakoglou, K. C. 2002 Design of optimal aerodynamic shapes using stochastic optimization methods and computational intelligence. Prog. Aerosp. Sci. 38, 43-70. (doi:10.1016/S0376-0421(01)00019-7)
12. Gumbert, C. R., Hou, G. J. W. & Newman, P.A. 1999 Simultaneous aerodynamic analysis and design optimization (SAADO) for a 3-D rigid wing. In Fourteenth AIAA CFD Conference, Norfolk, AIAA-1999-3296, June 1999.
13. Harris, C. D. 1990 NASA supercritical airfoils - a matrix of family-related airfoils. NASA Technical Paper, (2969), March 1990.
14. Jameson, A. 1988 Aerodynamic design via control theory. J. Sci. Comput. 3, 233-260. (doi:10.1007/BF01061285)
15. Jones, D. R. 2001 A taxonomy of global optimization methods based on response surfaces. J. Global Optim. 21, 345-383. (doi:10.1023/A:1012771025575)
16. Jones, D. R., Schlonlau, M. & Welch, J. 1998 Efficient global optimisation of expensive black-box functions. J. Global Optim. 13, 455-492. (doi:10.1023/A:100830G431147)
17. Keane, A. J. 2003 Wing optimization using design of experiment, response surface, and data fusion methods. J. Aircraft 40, 741-750.
18. Keane, A. J. & Nair, P. B. 2005 Computational approaches for aerospace design: the pursuit of excellence. New York: Wiley.
19. Keane, A. J. & Petruzzelli, N. 2000 Aircraft wing design using GA-based multi-level strategies. In Eighth AIAA/USAF/NASA/ISSMO Symp. on Multidisciplinary Analysis and Optimization, Long Beach, AIAA-2000-4938, 6-8 September 2000.
20. Knill, D. L., Giunta, A. A., Baker, C. A., Grossman, B., Mason, W. H., Haftka, R. T. & Watson, L. T. 1999 Response surface models combining linear and Euler aerodynamics for supersonic transport design. J. Aircraft 36, 75-86.
21. Krige, D. G. 1951 A statistical approach to some basic mine valuation problems on the Witwatersrand. J. Chem. Metall Mining Eng. Soc. S. Afr. 52, 119-139.
22. Kuruvila, G., Ta'asan, S. & Salas, M. D. 1995 Airfoil optimization by the one-shot method. In Thirty-third AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA-1995-478, 9-12 January 1995.
23. Levy, D. W., Wahls, R. A., Zickuhr, T., Vassberg, J., Agrawal, S., Pirzadeh, S. & Hemsch, M. J. 2002 Summary of data from the first AIAA CFD drag prediction workshop. In AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA-2002-841, 14-17 January 2002.
24. Mason, W. H., Knill, D. L., Giunta, A. A., Grossman, B., Watson, L. T. & Haftka, R. T. 1998 Getting the full benefits of CFD in conceptual design. In Sixteenth AIAA Applied Aerodynamics Conference, Albuquerque, AIAA-1998-2513, June 1998.
25. Matheron, G. 1963 Principles of geostatistics. Econ. Geol. 58, 1246-1266.
26. Morris, M. D. & Mitchell, J. 1995 Exploratory designs for computer experiments. J. Stat. Plan. Infer. 43, 381-402. (doi:10.1016/0378-3758(94)00035- T)
27. Myers, R. H. & Montgomery, D. C. 1995 Response surface methodology: process and product optimization using designed experiments. New York: Wiley.
28. Newman, J. C., Taylor, A. C., Barnwell, R. W., Newman, P. A. & Hou, G. J. W. 1999 Overview of sensitivity analysis and shape optimization for complex aerodynamic configurations. J. Aircraft 36, 87-96.
29. Robinson, G. M. & Keane, A. J. 2001 Concise orthogonal representation of supercritical aerofoils. J. Aircraft 38, 580-583.
30. Sacks, J., Welch, W. J., Mitchell, T. J. & Wynn, H. 1989 Design and analysis of computer experiments. Stat. Sci 4, 409-423.
31. Schonlau, M. 1997 Computer experiments and global optimization. Ph.D. thesis, University of Waterloo, Canada.
32. Só A., Leary, S. J. & Keane, A. J. 2004 A parallel updating scheme for approximating and optimizing high fidelity computer simulations. Struct. Multidisc. Optim. 27, 371-383. (doi:10. 1007/s00158-004-0397-9)
33. Sobester, A., Leary, S. J. & Keane, A. J. 2005 On the design of optimization strategies based on global response surface approximation models. J. Global Optim. 33, 31-59. (doi:10.1007/s10898-004-6733-1)
34. Sobol, I. M. 1979 On the systematic search in a hypercube. SIAM J. Numer. Anal. 16, 790-793. (doi:10.1137/0716058)
35. Statnikov, R. B. & Matusov, J. B. 1995 Multicriteria optimization and engineering: theory and practice. New York: Chapman & Hall.
36. Vitali, R., Haftka, R. T. & Sankar, B. V. 1999 Multifidelity design of stiffened composite panel with a crack. In Fourth World Congress of Structural and Multidisciplinary Optimization Buffalo, New York, 51-AAM2-1, 17-21 May 1999.