Efficient multipoint aerodynamic design optimization via cokriging

Journal of Aircraft

Volumn 48, Issue 5, 2011, Pages 1685-1695

  Toal, David J J ^a   Keane, Andy J ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; AIRCRAFT;

AERODYNAMIC DESIGN OPTIMIZATION; AERODYNAMIC OPTIMIZATION; DESIGN CONDITION; OBJECTIVE FUNCTIONS; OFF-DESIGN PERFORMANCE; SINGLE POINT; SURROGATE MODEL; TRANSONIC AIRFOILS;

AERODYNAMICS;

EID: 80053917669     PISSN: 00218669     EISSN: 15333868     Source Type: Journal    
DOI: 10.2514/1.C031342     Document Type: Article

References (40)

1. Painchaud-Ouellet, S., Tribes, C., Trépanier, J., and Pelletier, D., "Airfoil Shaped Optimization Using a Nonuniform Rational B-Spline Parameterization Under Thickness Constraint, " AIAA Journal, Vol. 44, No. 10, 2006, pp. 2170-2178. doi:10.2514/1.15117.
2. Nemec, M., Zingg, D., and Pulliam, T., "Multipoint and Multi-Objective Aerodynamic Shape Optimization, " AIAA Journal, Vol. 42, No. 6, 2004, pp. 1057-1065. doi:10.2514/1.10415.
3. Szmelter, J., "Multipoint Aerodynamic Wing Optimization in Viscous Flow, " Journal of Aircraft, Vol. 38, No. 5, 2001, pp. 860-867. doi:10.2514/2.2845.
4. Epstein, B., and Peigin, S., "Robust Hybrid Approach to Multiobjective Constrainted Optimization in Aerodynamics, " AIAA Journal, Vol. 42, No. 8, 2004, pp. 1572-1581. doi:10.2514/1.992.
5. Peigin, S., and Epstein, B., "Efficient Approach for Multipoint Aerodynamic Wing Design of Business Jet Aircraft, " AIAA Journal, Vol. 45, No. 11, 2007, pp. 2612-2621. doi:10.2514/1.29307.
6. Peigin, S., and Epstein, B., "Multipoint Aerodynamic Design of Wing-Body Configurations for Minimum Drag, " Journal of Aircraft, Vol. 44, No. 3, 2007, pp. 971-980. doi:10.2514/1.26746.
7. Peigin, S., and Epstein, B., "Computational Fluid Dynamics Driven Optimization of Blended Wing Body Aircraft, " AIAA Journal, Vol. 44, No. 11, 2006, pp. 2736-2745. doi:10.2514/1.19757.
8. Kim, Y., Jeon, Y., and Lee, D., "Multi-Objective and Multidisciplinary Design Optimization of Supersonic Fighter Wing, " Journal of Aircraft, Vol. 43, No. 3, 2006, pp. 817-824. doi:10.2514/1.13864.
9. Cliff, S., Reuther, J., Saunders, D., and Hicks, R., "Single-Point and Multipoint Aerodynamic Shape Optimization of High-Speed Civil Transport, " Journal of Aircraft, Vol. 38, No. 6, 2001, pp. 997-1005. doi:10.2514/2.2886.
10. Epstein, B., Jameson, A., Peigin, S., Roman, D., Harrison, N., and Vassberg, J., "Comparative Study of Three-Dimensional Wing Drag Minimization by Different Optimization Techniques, " Journal of Aircraft, Vol. 46, No. 2, 2009, pp. 526-541. doi:10.2514/1.38216.
11. Ghoreyshi, M., Badcock, K., and Woodgate, M., "Accelerating the Numerical Generation of Aerodynamic Models for Flight Simulation, " Journal of Aircraft, Vol. 46, No. 3, 2009, pp. 972-980. doi:10.2514/1.39626.
12. Brooks, C., Forrester, A., Keane, A., and Shahpar, S., "Multi-Fidelity Design Optimisation of a Transonic Compressor Rotor, " Proceedings of the 9th European Conference on Turbomachinery Fluid Dynamics and Thermodynamics, Istanbul, Turkey, Vol. 2, March 2011, pp. 1267-1276.
13. Forrester, A., "Black-Box Calibration for Complex Systems Simulation, " Philosophical Transactions of the Royal Society of London, Series A: Mathematical and Physical Sciences, Vol. 368, No. 1924, 2010. doi:10.1098/rsta.2010.0051.
14. Kuya, Y., Takeda, K., Zhang, X., and Forrester, A., "Multifidelity Surrogate Modeling of Experimental and Computational Aerodynamic Data Sets, " AIAA Journal, Vol. 49, No. 2, 2011, pp. 289-298. doi:10.2514/1.J050384.
15. Krige, D., "A Statistical Approach to Some Basic Mine Valuation Problems on the Witwatersrand, " Journal of the Chemical, Metallurgical and Mining Society of South Africa, Vol. 52, No. 6, 1951, pp. 119-139. doi:10.2307/3006914.
16. Sacks, J., Welch, W., Mitchell, T., and Wynn, H., "Design and Analysis of Computer Experiments, " Statistical Science, Vol. 4, No. 4, 1989, pp. 409-435. doi:10.1214/ss/1177012413.
17. Jones, D., "A Taxonomy of Global Optimization Methods Based on Response Surfaces, " Journal of Global Optimization, Vol. 21, No. 4, 2001, pp. 345-383. doi:10.1023/A:1012771025575.
18. Simpson, T., Peplinski, J., Kock, P., and Allen, J., "Metamodels for Computer-Based Engineering Design: Survey and Recommendations, " Engineering with Computers, Vol. 17, No. 2, 2001, pp. 129-150. doi:10.1007/PL00007198.
19. Queipo, N., Haftka, R., Shyy, W., Goel, T., Vaidyanathan, R., and Tucker, P., "Surrogate-Based Analysis and Optimization, " Progress in Aerospace Sciences, Vol. 41, 2005, pp. 1-28. doi:10.1016/j.paerosci.2005.02.001.
20. Wang, G., and Shan, S., "Review of Metamodeling Techniques in Support of Engineering Design Optimization, " Journal of Mechanical Design, Vol. 129, 2007, pp. 370-380. doi:10.1115/1.2429697.
21. Forrester, A., and Keane, A., "Recent Advances in Surrogate-Based Optimization, " Progress in Aerospace Sciences, Vol. 45, Nos. 1-3, 2009, pp. 50-79. doi:10.1016/j.paerosci.2008.11.001.
22. Toal, D., Forrester, A., Bressloff, N., Keane, A., and Holden, C., "An Adjoint for Likelihood Maximization, " Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, Vol. 465, No. 2111, 2009, pp. 3267-3287. doi:10.1098/rspa.2009.0096.
23. Toal, D., Bressloff, N., Keane, A., and Holden, C., "The Development of a Hybridized Particle Swarm for Kriging Hyperparameter Tuning, " Engineering optimization, Vol. 43, No. 6, 2011, pp. 675-699. doi:10.1080/0305215X.2010.508524.
24. Giles, M., "Collected Matrix Derivative Results for Forward and Reverse Mode Algorithmic Differentiation, " Advances in Automatic Differentiation, Lecture Notes in Computational Science and Engineering, Vol. 64, 2008, pp. 35-44. doi:10.1007/978-3-540-68942-3-4.
25. Forrester, A., Sóbester, A., andKeane, A., "Multi-Fidelity Optimization via Surrogate Modelling, " Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, Vol. 463, No. 2088, 2007, pp. 3251-3269. doi:10.1098/rspa.2007.1900.
26. Kennedy, M., and O'Hagan, A., "Predicting the Output from a Complex Computer Code when Fast Approximations are Available, " Biometrika, Vol. 87, No. 1, 2000, pp. 1-13. doi:10.1093/biomet/87.1.1.
27. Forrester, A., Bressloff, N., and Keane, A., "Optimization Using Surrogate Models and Partially Converged Computational Fluid Dynamics Simulations, " Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, Vol. 462, No. 2071, 2006, pp. 2177-2204. doi:10.1098/rspa.2006.1679.
28. Laurenceau, J., and Sagaut, P., "Building Efficient Response Surfaces of Aerodynamic Functions with Kriging and Cokriging, " AIAA Journal, Vol. 46, No. 2, 2008, pp. 498-507. doi:10.2514/1.32308.
29. Won, K., and Ray, T., "Performance of Kriging and Cokriging Based Surrogate Models Within the Unified Framework for Surrogate Assisted Optimization, " Proceedings of the 2004 Congress on Evolutionary Computation, Vol. 2, 2004, pp. 1577-1585. doi:10.1109/CEC.2004.1331084.
30. Forrester, A., Sóbester, A., and Keane, A., "Optimization with Missing Data, " Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, Vol. 462, No. 2067, 2006, pp. 935-945. doi:10.1098/rspa.2005.1608.
31. Lépine, J., Guibault, F., and Trépanier, J., "Optimized Nonuniform Rational B-Spline Geometrical Representation for Aerodynamic Design of Wings, " AIAA Journal, Vol. 39, No. 11, 2001, pp. 2033-2041. doi:10.2514/2.1206.
32. Lock, R., and Williams, B., "Viscous-Inviscid Interactions in External Aerodynamics, " Progress in Aerospace Sciences, Vol. 24, No. 2, 1987, pp. 51-171. doi:10.1016/0376-0421(87)90003-0.
33. Cook, P., McDonald, M., and Firmin, M., Aerofoil RAE-2822: Pressure Distributions, and Boundary Layer andWake Measurements, AGARD AR-138, 1979.
34. Sederberg, T., and Parry, S., "Free-Form Deformation of Solid Geometric Models, " Proceedings of the 13th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH '86, Dallas, TX, Vol. 20, Assoc. for Computing Machinery, New York, Aug. 1986, pp. 151-160. doi:10.1145/15922. 15903.
35. Huyse, L., Padula, S., Lewis, R., and Li, W. "Probabilistic Approach to Free-Form Airfoil Shape Optimization Under Uncertainty, " AIAA Journal, Vol. 40, No. 9, 2002, pp. 1764-1772. doi:10.2514/2.1881.
36. Lassila, T., and Gianluigi, R., "Parametric Freeform Shape Design with PDE Models and Reduced Basis Method, " Computer Methods in Applied Mechanics and Engineering, Vol. 199, Nos. 23-24, 2010, pp. 1583-1592. doi:10.1016/j.cma.2010.01.007.
37. Widhalm, M., Ronzheimer, A., and Hepperle, M., "Comparison Between Gradient-Free and Adjoint Based Aerodynamic Optimization of a Flying Wing Transport Aircraft in Preliminary Design, " 25th AIAA Applied Aerodynamics Conference, Miami, FL, AIAA Paper 2007-4060, 2007.
38. Toal, D., Bressloff, N., and Keane, A., "Kriging Hyperparameter Tuning Strategies, " AIAA Journal, Vol. 46, No. 5, 2008, pp. 1240-1252. doi:10.2514/1.34822.
39. Jones, D., Schonlau, M., and Welch, W., "Efficient Global Optimization of Expensive Black-Box Functions, " Journal of Global Optimization, Vol. 13, No. 4, 1998, pp. 455-492. doi:10.1023/A:1008306431147.
40. Nadarajah, S., and Jameson, A., "Studies of the Continuous and Discrete Adjoint Approaches to Viscous Automatic Aerodynamic Shape Optimization, " 15th AIAA Computational Fluid Dynamics Conference, Anaheim, CA, AIAA Paper 2001-2530, June 2001.