Multilevel variable fidelity optimization: Of a morphing unmanned aerial vehicle

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 4, Issue , 2004, Pages 2777-2792

  Gano, Shawn E ^a,c   Pérez, Victor M ^a,c   Renaud, John E ^a,c   Batill, Stephen M ^a,c   Sanders, Brian ^b  

^a UNIVERSITY OF NOTRE DAME   (United States)

^b AIR FORCE RESEARCH LABORATORY   (United States)

^c Mechanical and Aerospace Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AIRCRAFT; COMPUTATIONAL METHODS; FLUID DYNAMICS; MODEL STRUCTURES; MORPHOLOGY; OPTIMIZATION; PROBLEM SOLVING;

FIDELITY OPTIMIZATION; MORPHING AIRCRAFT; MORPHING AIRCRAFT STRUCTURES (MAS); MULTI-LEVEL DESIGNS;

UNMANNED VEHICLES;

EID: 16244419378     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2004-1763     Document Type: Conference Paper

References (35)

1. Bowman, J., Sanders, B., and Weisshaar, T., "Evaluating the Impact of Morphing Technologies on Aircraft Performance," No. AIAA-2002-1631, 2002.
2. Gano, S. E., Renaud, J. E., Batill, S. M., and Tovar, A., "Shape Optimization for Conforming Airfoils," Proceedings of the 44th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, No. AIAA 2003-1579, Norfolk, VA, 7-10 April 2003.
3. Gano, S. E., "Sensitivity of Optimal Conforming Airfoils To Exterior Shape," Proceedings of the AIAA Student Conference 2003, University of Kentucky at Paducah, 4-5 April 2003.
4. Vanderplaats, G. N., Numerical Optimization Techniques for Engineering Design, Vanderplaats Research & Development, Inc., 3rd ed., 2001.
5. Rusnell, M. T., Gano, S. E., Pérez, V. M., Renaud, J. E., and Batill, S. M., "Morphing UAV Pareto Curve Shift for Enhanced Performance," Proceedings of the 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference, Palm Springs, California, 19-22 April 2004.
6. Alexandrov, N. M., Lewis, R. M., Gumbert, C. R., Green, L. L., and Newman, P. A., "Optimization with variable-fidelity models applied to wing design," Proceedings of the 38th AIAA Aerospace Sciences Meeting and Exhibit, No. AIAA 2000-0841, Reno, Nevada, 10-13 January 2000.
7. Alexandrov, N. M. and Lewis, R. M., "First-Order Approximation and Model Management in Optimization, in Large-Scale PDE-Constrained Optimization," Springer-Verlag, 2001.
8. Conn, A. R., Gould, N. I. M., and Toint, P. L., Trust-Region Methods, Society for Industrial and Applied Mathematics and Mathematical Programming Society, 2000.
9. Alexandrov, N. M., Nielsen, E. J., Lewis, R. M., and Anderson, W. K., "First-Order Model Management with Variable-Fidelity Physics Applied to Multi-Element Airfoil Optimization," No. AIAA paper 2000-4886, September 2000.
10. Han, S. P., "A Globally Convergent Method for Nonlinear Programming," Journal of Optimization Theory and Applications, Vol. 22, 1977, pp. 297.
11. Powell, M. J. D., The Convergence of Variable Metric Methods For Nonlinearly Constrained Optimization Calculations, Academic Press, 1978.
12. Powell, M. J. D., "A Fast Algorithm for Nonlineary Constrained Optimization Calculations," Numerical Analysis, Lecture Notes in Mathematics, Springer Verlag, Vol. 630, 1978.
13. Gill, P. E., Murray, W., and Wright, M. H., Practical Optimization, Academic Press, London, 1981.
14. Chang, K. J., Haftka, R. T., Giles, G. L., and Kao, P.-J., "Sensitivity-based Scaling for Approximating Structural Response," Journal of Aircraft, Vol. 30(2), March-April 1993, pp. 283-288.
15. Giunta, A. A. and Eldred, M. S., "Implementation of a Trust Region Model Management Strategy in the DAKOTA Optimization Toolkit," No. AIAA-2000-4935, 2000.
16. Lewis, R. M. and Nash, S. G., "A Mulitgrid Approach to the Optimization of Systems Governed by Differential Equations," No. AIAA-2000-4890, 2000.
17. Eldred, M. S., Giunta, A. A., Collis, S. S., Alexandrov, N. A., and Lewis, R. M., "Second-Order Corrections for Surrogate-Based Optimization with Model Hierarchies," to appear in Proceedings of the 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Albany, NY, 30 Aug. - 1 Sept. 2004.
18. Broyden, C. G., "The Convergence of a Class of Double-rank Minimization Algorithms," J. Inst. Maths. Applies., Vol. 6, 1970, pp. 76-90.
19. Fletcher, R., "A New Approach to Variable Metric Algorithms," Computer Journal, Vol. 13, 1970, pp. 317-322.
20. Goldfarb, D., "A Family of Variable Metric Updates Derived by Variational Means," Mathematics of Computing, Vol. 24, 1970, pp. 23-26.
21. Shanno, D. F., "Conditioning of Quasi-Newton Methods for Function Minimization," Mathematics of Computing, Vol. 24, 1970, pp. 647-656.
22. Nocedal, J. and Wright, S. J., Numerical Optimization, Springer-Verlag, 1999, Springer Series in Operations Reseach.
23. Conn, A. R., Gould, N. I. M., and Toint, P. L., "Global Convergence of a Class of Trust Region Algorithms for Optimization with Simple Bounds," SIAM Journal of Numerical Analysis, Vol. 25, No. 2, 1988, pp. 433-464.
24. Rodriguez, J. F., Pérez, V. M., Padmanabhan, D., and Renaud, J. E., "Sequential Approximate Optimization Using Variable Fidelity Response Surface Approximations," Structural and Multidisciplinary Optimization, Vol. 22, 2001, pp. 24-34, Published by Springer-Verlag.
25. Booker, A. J., Dennis, J. E., Frank, P. D., Serafini, D. B., Torczon, V., and Trosset, M. W., "A Rigorous Framework for Optimization of Expensive Function by Surrogates," No. CRPC-TR98739-S, April 1998.
26. Wauquiez, C., Shape Optimization of Low Speed Airfoils using MATLAB and Automatic Differentiation, Ph.D. thesis, Royal Institute of Techology, Stockholm, Sweeden, 2000, Department of Numerical Analysis and Computing Science.
27. Anderson, W. K. and Bonhaus, D. L., "An Implicit Upwind Algorithm for Computing Turbulent Flows on Unstructured Grids," Computers and Fluids, Vol. 23, No. 1, 1994, pp. pp. 1-21.
28. Anderson, W. K., Rausch, R. D., and Bonhaus, D. L., "Implicit/ Multigrid Algorithms for Incompressible Turbulent Flows on Unstructured Grids," J. Comp. Phys., Vol. 128, 1996, pp. 391-408.
29. Marcum, D. L., "Advancing-Front/Local-Reconnection (AFLR) Unstructured Grid Generation," Computational Fluid Dynamics Review, 1998.
30. Kuethe, A. M. and Chow, C. Y., Foundations of Aerodynamics Bases pf Aerodynamic Design, John Wiley &: Sons Inc., 5th ed., 1998.
31. Katz, J. and Plotkin, A., Low-Speed Aerodynamics, 2nd Edition, Cambridge University Press, 2001.
32. Moran, J., Theoretical and Computational Aerodynamics, John Wiley & Sons Inc., 1984.
33. Henne, P. A., Applied Computational Aerodynamics, American Institute of Aeronautics and Astronautics, 1990, Progess in Astronautics and Aeronautics Series Vol. 125.
34. Squire, H. B. and Young, A. D., The calculation of the profile drag of aerofoils, ARC RM, 1938.
35. Torczon, V. and Trosset, M. W., "Using approximations to accelerate engineering design optimization," Proceedings of the 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, No. AIAA 98-4800, St. Louis, Missouri, 2-4 September 1998.