Global Approximation and Optimization Using Adjoint Computational Fluid Dynamics Codes

AIAA Journal

Volumn 42, Issue 3, 2004, Pages 631-641

  Leary, Stephen J ^a,b   Bhaskar, Atul ^a,b   Keane, Andrew J ^a,b  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b Aerodynamics and Flight Mechanics Research Group   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

AIRCRAFT; AIRFOILS; APPROXIMATION THEORY; COMPUTATIONAL METHODS; COMPUTER PROGRAM LISTINGS; CONVERGENCE OF NUMERICAL METHODS; COSTS; FUNCTIONS; GENETIC ALGORITHMS; NAVIER STOKES EQUATIONS; OPTIMIZATION; POLYNOMIALS; PROBLEM SOLVING; SIMULATED ANNEALING;

HYPERPARAMETERS; KRIGING; SHEPARD WEIGHTING FUNCTION; THREE-DIMENSIONAL WINGS;

COMPUTATIONAL FLUID DYNAMICS;

EID: 1842450482     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.9114     Document Type: Article

References (31)

1. Jameson, A., "Aerodynamic Design via Control Theory," Journal of Scientific Computing, Vol. 3, 1988, pp. 233-260.
2. Jameson, A., "Optimum Aerodynamic Design Using Computational Fluid Dynamics and Control Theory," AIAA Paper 95-1729, July 1995.
3. Jameson, A., "Optimum Aerodynamic Design Using Control Theory, " Computational Fluid Dynamics Review, Wiley, New York, 1995, pp. 495-528.
4. Reuther, J., and Jameson, A., "Control Based Airfoil Design Using the Euler Equations," AIAA Paper 94-4272, 1994.
5. Reuther, J., Jameson, A., Farmer, J., Martinelli, L., and Saunders, D., "Aerodynamic Shape Optimization of Complex Aircraft Configurations via an Adjoint Formulation," AIAA Paper 96-0094, Jan. 1996.
6. Jameson, A., Pierce, N., and Martinelli, L., "Optimum Aerodynamic Design Using the Navier-Stokes Equations," Theoretical and Computational Fluid Dynamics, Vol. 10, 1998, pp. 213-237.
7. Jameson, A., "Reengineering the Design Process Through Computation," Journal of Aircraft, Vol. 36, 1999, pp. 36-50.
8. Reuther, J., Jameson, A., Alonso, J. J., Rimlinger, M. J., and Saunders, D., "Constrained Multipoint Aerodynamic Shape Optimization Using an Adjoint Formulation and Parallel Computers, Part 1," Journal of Aircraft, Vol. 36, 1999, pp. 51-60.
9. Reuther, J., Jameson, A., Alonso, J. J., Rimlinger, M. J., and Saunders, D., "Constrained Multipoint Aerodynamic Shape Optimization Using an Adjoint Formulation and Parallel Computers, Part 2," Journal of Aircraft, Vol. 36, 1999, pp. 61-74.
10. Jameson, A., and Vassberg, J., "Computational Fluid Dynamics (CFD) for Aerodynamic Design: Its Current and Future Impact," AIAA Paper 2001 -0538, Jan. 2001.
11. Cox, S. J., Haftka, R. T., Baker, C. A., Grossman, B., Mason, W. H., and Watson, L. T., "A Comparison of Global Optimization Methods for the Design of a High-Speed Civil Transport," Journal of Global Optimization, Vol. 21, 2001, pp. 415-433.
12. Goffe, W. L., Ferner, G. D., and Rogers, J., "Global Optimization of Statistical Functions with Simulated Annealing," Journal of Econometrics, Vol. 60, 1994, pp. 65-99.
13. Goldberg, D. E., Genetic Algorithms in Search, Optimization and Machine Learning, Addison Wesley Longman, Reading, MA, 1988, pp. 1-54.
14. Myers, R. H., and Montgomery, D. C., Response Surface Methodology: Process and Product Optimization Using Designed Experiments, Wiley, New York, 1995, pp. 1-67.
15. Conn, A. R., Gould, N. I. M., and Toint, P. L., Trust-Region Methods, Society for Industrial and Applied Mathematics, Philadelphia, 2000.
16. Shepard, D., "A Two Dimensional Interpolation Function for Irregularly Spaced Data," Proceedings of the 23rd National Conference, Association for Computing Machinery, New York, 1968, pp. 517-523, Chaps. 1 and 2.
17. Powell, M. J. D., "Radial Basis Functions for Multivariable Interpolation: A Review," Algorithms for Approximation, Clarendon, Oxford, 1987, pp. 143-167.
18. Jones, D. R., Schonlau, M., and Welch, W. J., "Efficient Global Optimization of Expensive Black-Box Functions," Journal of Global Optimization, Vol. 13, 1998, pp. 455-492.
19. Chung, H. S., and Alonso, J. J., "Using Gradients to Construct Response Surface Models for High-Dimensional Design Optimization Problems, " AIAA Paper 2001-0922, Jan. 2001.
20. Rodriguez, J. F., Renaud, J. E., and Watson, L. T., "Trust Region Augmented Lagrangian Methods for Sequential Response Surface Approximation and Optimization," Journal of Mechanical Design, Vol. 120, 1998, pp. 58-66.
21. Alexandrov, N. M., Dennis, J. E., Jr., Lewis, R. M., and Torczon, V., "A Trust-Region Framework for Managing the Use of Approximations in Optimization," Structural Optimization, Vol. 15, 1998, pp. 16-23.
22. Morris, M. D., Mitchell, T. J., and Ylvisaker, D., "Bayesian Design and Analysis of Computer Experiments: Use of Derivatives in Surface Prediction," Technometrics, Vol. 35, 1993, pp. 243-255.
23. Leary, S. J., Bhaskar, A., and Keane, A. J., "A Derivative Based Surrogate Model for Approximating and Optimizing the Output of an Expensive Computer Simulation," Journal of Global Optimization (to be published).
24. Chung, H. S., and Alonso, J. J., "Using Gradients to Construct Cokriging Approximation Models for High-Dimensional Design Optimization Problems," AIAA Paper 2002-0317, Jan. 2002.
25. Renka, R. J., "Multivariate Interpolation of Large Sets of Scattered Data," ACM Transactions on Mathematical Software, Vol. 14, No. 2, 1988, pp. 139-148.
26. Sacks, J., Welch, W. J., Mitchell, T. J., and Wynn, H. P., "Design and Analysis of Computer Experiments," Statistical Science, Vol. 4, No. 4, 1989, pp. 409-435.
27. Hicks, R. M., and Henne, P. A., "Wing Design by Numerical Optimization," Journal of Aircraft, Vol. 15, 1978, pp. 407-412.
28. Sobol, I. M., "On the Systematic Search in a Hypercube," SIAM Journal of Numerical Analysis, Vol. 16, 1979, pp. 790-793.
29. Statnikov, R. B., and Matusov, J. B., Multicriteria Optimization and Engineering, Chapman and Hall, New York, 1995, pp. 192-223.
30. Currin, C., Mitchell, T., Morris, M., and Ylvisaker, D., "Bayesian Prediction of Deterministic Functions, with Applications to the Design and Analysis of Computer Experiments," Journal of the American Statistical Association, Vol. 86, 1991, pp. 953-963.
31. Kelley, C. T., Iterative Methods for Optimization, Vol. 18, Frontiers in Applied Mathematics, Society of Industrial and Applied Mathematics, Philadelphia, 1999.