Aerodynamic shape optimization for unsteady three-dimensional flows

International Journal of Computational Fluid Dynamics

Volumn 20, Issue 8, 2006, Pages 533-548

  Nadarajah, Siva K ^a   McMullen, Matthew S ^b   Jameson, Antony ^b,c,d  

^a MCGILL UNIVERSITY   (Canada)

^b Department of Aeronautics and Astronautics Department of Mechanical Engineering and Industrial for Computational and Mathematical Engineering   (United States)

^c Stanford University   (United States)

^d AIAA   (United States)

Author keywords

Adjoint method; Computational fluid dynamics; Frequency domain; Optimization; Unsteady flow

Indexed keywords

EID: 34250327223     PISSN: 10618562     EISSN: 10290257     Source Type: Journal    
DOI: 10.1080/10618560601088343     Document Type: Article

References (25)

1. Adamczyk, J.J., Model equation for simulating flows in multistage turbomachinery. Technical report. NASA Technical Memorandum 86869, November 1984.
2. Davis, R., Personal communications on TFLO, January-December 2001.
3. Duta, M.C., Giles, M.B. and Campobasso, M.S., The harmonic adjoint approach to unsteady turbomachinery design. Im. J. Numer. Meth. Fluids, October 2002, 40, 323-332.
4. Gopinath, A.K. and Jameson, A., Time spectoral method for periodic unsteady computations over two- and three- dimensional bodies. AIAA Paper 2005-1220, January 2005 (43rd Aerospace Sciences Meething and Exhibit; Reno, NV).
5. Hall, K.C., Seminar on harmonic balance techniques. Technical report, Presented to the Aerospace Computing Lab, Stanford University, 2000.
6. Hall, K.C., Thomas, J.P. and Clark, W.S., Computation of unsteady nonlinear flows in cascades using a harmonic balance technique. Technical report, 9th International Symposium on Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines, Lyon, France, September, 2000.
7. Jameson, A., Computational aerodynamics for aircraft design. Science, 1989, 245, 361-371.
8. Jameson, A., Time dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings. AIAA Paper 91-1596, June 1991 (AIAA 10th Computational Fluid Dynamics Conference: Honolulu, Hawaii).
9. Jameson, A., Optimum aerodynamic design using CFD and control theory. AIAA paper 95-1729, June 1995 (AIAA 12th Computational Fluid Dynamics Conference: San Diego, CA).
10. Jameson, A. and Vassberg, J.C., Studies of alternative numerical optimization methods applied to the brachistochrone problem. OptiCON99, 1999.
11. Jameson, A., Schmidt, W. and Turkel, E., Numerical solutions of the Euler equations by finite volume methods with Runge-Kutta time stepping schemes. AIAA Paper SI-1259, January 1981.
12. McMullen, M., The Application of Non-Linear Frequency Domain Methods to the Euler and Navier-Stokes Equations, PhD dissertation, Department of Aeronautics and Astronautics, Stanford University, Stanford, CA, March, 2003.
13. McMullen, M., Jameson, A. and Alonso, A., Acceleration of convergence to a periodic steady state in turbomachinery flows. AIAA Paper 01-0152,2001 (39th Aerospace Sciences Meeting and Exhibit: Reno, NV).
14. McMullen, M., Jameson, A. and Alonso, A., Application of a non-linear frequency domain solver to the Euler and Navier-Stokes equations. AIAA Paper 02-0120, Jan 2002 (40th Aerospace Sciences Meeting and Exhibit: Reno, NV).
15. Nadarajah, S., The Discrete Adjoint Approach to Aerodynamic Shape Optimization, PhD dissertation, Department of Aeronautics and Astronautics, Stanford University, Stanford, CA, January 2003.
16. Nadarajah, S. and Jameson, A., A comparison of the continuous and discrete adjoint approach to automatic aerodynamic optimization. AIAA Paper 2000-0667. January 2000 (38th Aerospace Sciences Meeting and Exhibit: Reno, Nevada).
17. Nadarajah, S. and Jameson, A., Studies of the continuous and discrete adjoint approaches to viscous automatic aerodynamic shape optimization. AIAA Paper 2001-2530, June 2001 (15th Computational Fluid Dynamics Conference: Anaheim, CA).
18. Nadarajah, S. and Jameson, A., Optimal control of unsteady flows using a time accurate method. AIAA Paper 2002-5436, September 2002 (9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization Conference; Atlanta, GA).
19. Nadarajah, S., Jameson, A. and Alonso, J.J., Sonic boom reduction using an adjoint method for wing-body configurations in supersonic flow. AlAA Paper 2002-5547, September 2002 (9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization Conference: Atlanta, GA).
20. Nadarajah, S., McMullen, M. and Jameson, A., Optimum shape design for unsteady flows using time accurate and non-linear frequency domain methods. AlAA Paper 2003-3875, June 2003 (16th. Computational Fluid Dynamics Conference: Orlando, FL).
21. Reuther, J., Alonso, J.J., Rimlinger, M.J. and Jameson, A., Aerodynamic shape optimization of supersonic aircraft configurations via an adjoint formulation on parallel computers. AIAA Paper 96-4045, September 1996 (6th AIAA/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization: Bellevue, WA).
22. 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, January 1996 (34th Aerospace Sciences Meeting and Exhibit: Reno, Nevada).
23. Snider, A., An improved estimate of the accuracy of trigonometric interpolation. SIAM J. Numer. Anal., 1972, 9(3), 505-508.
24. Thomas, J.P., Hall, K.C. and Dowell, E.H., A discrete adjoint approach for modelling unsteady aerodynamic design sensitivities. AIAA Paper 03-0041, Jan 2003 (41th Aerospace Sciences Meething and Exhibit: Reno, NV).
25. Zwaan, R.J., Data set 9, LANN wing. Pitching oscillation, Technical report. Agard-R-702 Addendum no. 1, AGARD, Amsterdam, Netherlands, 1985.