Optimum shape design for unsteady three-dimensional viscous flows using a nonlinear frequency-domain method

Journal of Aircraft

Volumn 44, Issue 5, 2007, Pages 1513-1527

  Nadarajah, Siva K ^a   Jameson, Antony ^b,c,d  

^a MCGILL UNIVERSITY   (Canada)

^b STANFORD UNIVERSITY   (United States)

^c Department of Mechanical Engineering ^*  (United States)

^d AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FREQUENCY DOMAIN ANALYSIS; NONLINEAR ANALYSIS; OPTIMIZATION; TRANSONIC FLOW;

OPTIMUM SHAPE DESIGN; TIME-DEPENDENT OPTIMAL DESIGN;

VISCOUS FLOW;

EID: 36348935612     PISSN: 00218669     EISSN: 15333868     Source Type: Journal    
DOI: 10.2514/1.27601     Document Type: Article

References (21)

1. Jameson, A., "Computational Aerodynamics for Aircraft Design," Science, Vol. 245, 1989, pp. 361-371.
2. Jameson, A., "Optimum Aerodynamic Design Using CFD and Control Theory," AIAA 12th Computational Fluid Dynamics Conference, San Diego, CA, AIAA Paper 95-1729, June 1995.
3. Nadarajah, S., Jameson, A., and Alonso, J. J., "Sonic Boom Reduction Using an Adjoint Method for Wing-Body Configurations in Supersonic Flow," 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization Conference, Atlanta, GA, AIAA Paper 2002-5547, Sept. 2002.
4. 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," 6th AIAA/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Bellevue, WA, AIAA Paper 96-4045, Sept. 1996.
5. Reuther, J., Jameson, A., Farmer, J., Martinelli, L., and Saunders, D., "Aerodynamic Shape Optimization of Complex Aircraft Configurations via an Adjoint Formulation," 34th Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA Paper 96-0094, Jan. 1996.
6. Nadarajah, S., and Jameson, A., "Optimal Control of Unsteady Flows Using a Time Accurate Method," 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization Conference, Atlanta, GA, AUA Paper 2002-5436, Sept. 2002.
7. Nadarajah, S., "The Discrete Adjoint Approach to Aerodynamic Shape Optimization," Ph.D. Dissertation, Department of Aeronautics and Astronautics, Stanford Univ., Stanford, CA, Jan. 2003.
8. Jameson, A., "Time Dependent Calculations Using Multigrid, with Applications to Unsteady Flows Past Airfoils and Wings," AIAA 10th Computational Fluid Dynamics Conference, Honolulu, HI, AIAA Paper 91-1596, June 1991.
9. Adamczyk, J. J., "Model Equation for Simulating Flows in Multistage Turbomachinery," NASA TM-86869, Nov. 1984.
10. Hall, K. C., Thomas, J. P., and Clark, W. S., "Computation of Unsteady Nonlinear Flows in Cascades Using a Harmonic Balance Technique," AIAA Journal, Vol. 40, No. 5, May 2002, pp. 879-886; also AIAA Paper 0001-1452.
11. McMullen, M., Jameson, A., and Alonso, J., "Acceleration of Convergence to a Periodic Steady State in Turbomachinery Flows," 39th Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA Paper 2001-0152, Jan. 2001.
12. McMullen, M., Jameson, A., and Alonso, J., "Application of a Non-Linear Frequency Domain Solver to the Euler and Navier-Stokes Equations," 40th Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA Paper 2002-0120, Jan. 2002.
13. McMullen, M., "The Application of Non-Linear Frequency Domain Methods to the Euler and Navier-Stokes Equations," Ph.D. Dissertation, Department of Aeronautics and Astronautics, Stanford Univ., Stanford, CA, Mar. 2003.
14. Nadarajah, S., McMullen, M., and Jameson, A., "Optimum Shape Design for Unsteady Flows Using Time Accurate and Non-Linear Frequency Domain Methods," 16th Computational Fluid Dynamics Conference, Orlando, FL, AIAA Paper 2003-3875, June 2003.
15. Nadarajah, S., McMullen, M., and Jameson, A., "Non-LinearFrequency Domain Method Based Optimum Shape Design for Unsteady Three-Dimensional Flows," AIAA 44th Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA Paper 2006-1052, Jan. 2006.
16. Duta, M. C., Giles, M. B., and Campobasso, M. S., "The Harmonic Adjoint Approach to Unsteady Turbomachinery Design," International Journal for Numerical Methods in Fluids, Vol., Oct. 200240, pp. 323-332.
17. Thomas, J. P., Hall, K. C., and Dowell, E. H., "A Discrete Adjoint Approach for Modelling Unsteady Aerodynamic Design Sensitivities," 41th Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA Paper 2003-0041, Jan. 2003.
18. 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 81-1259, Jan. 1981.
19. Jameson, A., and Vassberg, J. C., "Studies of Alternative Numerical Optimization Methods Applied to the Brachistochrone Problem," Computational Fluid Dynamics, Vol. 9, No. 3, 2000, pp. 281-296.
20. Zwaan, R. J., "Data Set 9, LANN Wing. Pitching Oscillation, AGARD, Rept. R-702, Addendum No. 1, 1985.
21. Message Passing Interface Forum [online database], http://www.mpiforum.org/ [retrieved Feb. 2003].