Airfoil design by an all-at-once method

International Journal of Computational Fluid Dynamics

Volumn 11, Issue 1-2, 1998, Pages 3-25

  Shenoy, A ^a   Heinkenschloss, M ^b   Cliff, E M ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b RICE UNIVERSITY   (United States)

Author keywords

Airfoil design; Computational fluid dynamics; Euler equations; Nonlinear programming; Optimal design; Optimization

Indexed keywords

EID: 0032245371     PISSN: 10618562     EISSN: None     Source Type: Journal    
DOI: 10.1080/10618569808940863     Document Type: Article

References (34)

1. Abbott, I. H. and Von Doenhoff, A. E. (1959). Theory of Wing Sections, Dover Publications, Inc., New York.
2. Anderson, W. K. and Venkatakrishnan, V. (1997). Aerodynamic design optimization on unstructured grids with a continuous adjoint formulation, Tech. Rep. 97-9, ICASE, NASA Laneley Research Center, Hampton VA 23681-0001.
3. Balling, R. J. and Sobieszczanski-Sobieski, J. (1994). Optimization of coupled systems: A critical overview of approaches. Tech. Rep. 94-100, ICASE, NASA Langley Research Center, Hampton VA 23681-0001.
4. Betts, J. T., Huffman, W. P. and Young, D. P. (1994). An investigation of algorithm performance in aerodynamic design optimization, Tech. Rep. BCSTECH-96-061, Bocing Computer Services, P.O. Box 24346, M/S 7L-68, Seattle, WA 98124-0346.
5. Borggaard, J. and Burns, J. (1997). A PDE sensitivity equation method for optimal aerodynamic design, Journal of Computational Physics, 136, 366-389.
6. Cliff, E. M., Heinkenschloss, M. and Shenoy, A. (1997). An optimal control problem for flows with discontinuities, Journal of Optimization Theory and Applications, 94, 273-309.
7. Cramer, E. J., Dennis, J. E. Jr., Frank, P. D., Lewis, R. M. and Shubin, G. R. (1994). On alternative problem formulations for multidisciplinary design optimization, SIAM J. Optim., 4, 754-776.
8. Dadone, A. and Grossman, B. (1994). Surface Boundary Conditions for the Numerical Solution of the Euler Equations, AIAA Journal, 32, 285-293.
9. Dennis, J. E., Heinkenschloss, M. and Vicente, L. N. (1994). Trust-region interior-point algorithms for a class of nonlinear programming problems, Tech. Rep. TR94-45, Department of Computational and Applied Mathematics, Rice University, Houston, TX 77005-1892.
10. Eberle, A., Rizzi, A. and Hirschel, E. H. (1992). Numerical Solutions of the Euler Equations for Steady Flow Problems, Vol. 34 of Notes on Numerical Fluid Mechanics, Vieweg, Wiesbaden.
11. Frank, P. D. and Shubin, G. Y. (1992). A comparison of optimization-based approaches for a model computational aerodynamics design problem, Journal of Computational Physics, 98, 74-89.
12. Ghattas, O. and Bark, J.-H. (1997). Optimal control of two- and three-dimensional Navier-Stokes flow, Journal of Computational Physics, 136, 231-244.
13. Heinkenschloss, M. (1996). Projected sequential quadratic programming methods, SIAM J. Optimisation, 6, 373-417.
14. Heinkenschloss, M. and Vicente, L. N. (1995). Analysis of inexact trust-region interior-point SQP algorithms, Tech. Rep. TR95-18, Department of Computational and Applied Mathematics, Rice University, Houston, TX 77005-1892.
15. _, TRICE: A package of trust-region interior-point algorithms for the solution of optimal control and engineering design problems. User's guide, tech. rep. Department of Computational and Applied Mathematics, Rice University, Houston, TX 77005-1892, 1996. Available electronically from the URL http://www.caam.rice.edu/~trice.
16. Hirsch, C. (1991). Numerical Computation of Internal and External flows, Vol. 2, Computational Methods for Inviscid and Viscous Flows, John Wiley & Sons, West Sussex.
17. _, Numerical Computation of Internal and External Flows, Vol. I, Fundamentals of Numerical Discretization, John Wiley & Sons, West Sussex.
18. Iollo, A., Kuruvila, G. and Ta'asan, S. (1995). Pseudotime method for optimal shape design using the Euler equations, Tech. Rep. 95-59, ICASE, NASA Langley Research Center, Hampton VA 23681-0001.
19. Iollo, A. and Salas, M. D. (1996). Optimum transonic airfoils based on the Euler equations. Tech. Rep. 96-76, ICASE, NASA Langley Research Center, Hampton VA 23681-0001.
20. Iollo, A., Salas, M. D. and Ta'asan, S. (1993). Shape optimization governed by the Euler equations using an adjoint method, Tech. Rep. 93-78, ICASE, NASA Langley Research Center, Hampton VA 23681-0001.
21. Jameson, A. (1991). Airfoils admitting non-unique solutions of the Euler equations. In: Proceedings of the AIAA 22nd Fluid Dynamics Plasmadynamics and Leaser Conference, AIAA Paper 91-1625, Honolulu, HI, June 24-26, 1991.
22. _, Optimum aerodynamic design using CFD and control theory, In: Proceedings of the AIAA 12th Computational Fluid Dynamics Conference, AIAA Paper 95-1729, San Diego, CA, June 19-22, 1995.
23. Jameson, A. and Reuther, J., Control theory based airfoil design usine the Euler equations, In: Proceedings of the AIAA/USAF/NASA/ISSMO 5th Symposium on Multidisciplinary Analysis and Optimization, AIAA Paper 94-4272, Panama City Beach, FL, September 7-9, 1994.
24. Kantorovich, L. and Akilov, G. (1964). Functional Analysis in Normed Spaces, Pergamon Press, New York.
25. Narducci, R. P., Selected Optimization Procedures for CFD-Based Shape Design involving Shock Waves or Computational Noise, Ph.D. Thesis, Aerospace and Ocean Engineering Department, Virgina Tech, Blacksburg, Virginia, May 1995.
26. Newman, P. A., Hou, G. J.-W. and Taylor, A. C. III, (1996). Observations regarding use of advanced analysis, sensitivity analysis, and design codes in CFD, Tech. Rep. 96-16, ICASE, NASA Langley Research Center, Hampton VA 23681-0001.
27. Reuther, J., Jameson, A., Farmer, J., Martinelli, L. and Saunders, D. (1996). Aerodynamic shape optimization of complex aircraft configurations via an adjoint formulation. In: Proceedings of the AIAA 34th Aeorspace Sciences Meeting and Exhibit, AIAA Paper 96-0094, Reno, NV, January 15-18.
28. Shenoy, A., Cliff, E. M. and Heinkenschloss, M. (1996). Thermal-fluid control via finite-dimensional approximations. In: Proceedings of the AIAA 31st Thermophysics Conference, AIAA Paper 96-1910, New Orleans, LA, June 18-20.
29. Shenoy, A. R. (1997). Optimization Techniques Exploiting Problem Structure: Applications to Aerodynamic Design, Ph.D. Thesis, Aerospace and Ocean Engineering Department, Virgina Tech, Blacksburg, Virginia.
30. Thomas, J. L. and Salas, M. D. (1986). Far-field boundary conditions for transonic lifting solutions of the Euler equations, AIAA Journal, 24, 1074-1080.
31. Vanderplaats, G. N. (1979). Approximation Concepts for Numerical Airfoil Optimization, NASA TP 1370, NASA Ames Research Center.
32. Vanderplaats, G. N. (1984). Numerical Optimization Techniques for Engineering Design with Applications, McGraw Hill Series in Mechanical Engineering, McGraw Hill, New York, St. Louis, San Francisco.
33. Young, D. P., Huffman, W. P., Bieterman, M. B., Melvin, R. G., Johnson, F. T., Hilmes, C. L. and Dusto, A. R. (1994). Issues in design optimization methodology. Tech. Rep. BCSTECH-94-007 Rev.1, Boeing Computer Services, P.O.Box 24346, M/S 7L-68, Seattle, WA 98124-0346.
34. Young, D. P. and Keyes, D. E. (1996). Newton's method and design optimization, Tech. Rep. ISSTECH-96-011, Bocina Information and Support Services, P.O. Box 243467 M/S 7L-68, Seattle, WA 98124-0346.