A PDE sensitivity equation method for optimal aerodynamic design

Journal of Computational Physics

Volumn 136, Issue 2, 1997, Pages 366-384

  Borggaard, Jeff ^a   Burns, John ^a  

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

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; DESIGN; FUNCTION EVALUATION; INVERSE PROBLEMS; MESH GENERATION; OPTIMAL SYSTEMS; SHAPE OPTIMIZATION;

AERODYNAMIC DESIGNS; DESIGN SENSITIVITY; FLOW SOLVER; GRADIENT BASED OPTIMIZATION ALGORITHMS; INVERSE DESIGNS; MESH-SENSITIVITY; OBJECTIVE FUNCTIONS; OPTIMIZATION ALGORITHMS; SENSITIVITY EQUATION METHODS; SENSITIVITY EQUATIONS;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0031571990     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1997.5743     Document Type: Article

References (29)

1. Beam R., Warming R. F. J. Comput. Phys. 22:1976;87.
2. Borggaard J., Burns J., Cliff E., Gunzburger M. Sensitivity calculations for a 2D, inviscid, supersonic forebody problem. Identification and Control of Systems Governed by Partial Differential Equations. 1993;SIAM, Philadelphia. p. 14-.
3. J. T. Borggaard, 1994, The Sensitivity Equation Method for Optimal Design, Virginia Tech, Blacksburg, VA.
4. Borggaard J. T. On the presence of shocks in domain optimization of Euler Flows. Gunzburger M. Flow Control. Proceedings of the IMA. 68:1995;Springer-Verlag, Berlin/New York.
5. J. V. Burkardt, 1995, Sensitivity Analyses and Computational Shape Optimization for Incompressible Flows, Virginia Tech, Blacksburg, VA.
6. Burns J. A., King B. B., Ou Y.-R. A computational approach to sensor/actuator location for feedback control of fluid flow systems. Paduano J. D. Sensing, Actuation, and Control in Aeropropulsion. Proceedings of the International Society for Optical Engineering. 2494:1995;60.
7. Carter R. G. Numerical Optimization in Hilbert Space Using Inexact Function and Gradient Evaluations. Technical Report. 89-45:1989.
8. Carter R. G. SIAM J. Numer. Anal. 28:1991;251.
9. Cooper G. K., Sirbaugh J. R. PARC Code: Theory and Usage. Technical Report. AEDC-TR-89-15:1989.
10. Dennis J. E. Jr., Gay D. M., Welsch R. E. Trans. Math. Software. 7:1981;348.
11. Dennis J. E. Jr., Schnabel R. B. Numerical Methods for Unconstrained Optimization and Nonlinear Equations. 1983;Prentice-Hall, Englewood Cliffs, NJ.
12. Farin G. Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide. 1988;Academic Press, San Diego.
13. Frank P. D., Shubin G. R. J. Comput. Phys. 98:1992;74.
14. Gay D. M. SIAM J. Sci. Statist. Comput. 2:1981;186.
15. Glowinski R., Pan T.-W., Kearsley A. J., Periaux J. Int. J. Numer. Methods Fluids. 20:1995;695.
16. Griewank A. SIAM J. Numer. Anal. 24:1987;684.
17. Haug E. J., Choi K. K., Komkov V. Design Sensitivity Analysis of Structural Systems. Mathematics in Science and Engineering. 177:1986;Academic Press, New York.
18. Huddleston D. Development of a Free-Jet Forebody Simulator Design Optimization Method. Technical Report. AEDC-TR-90-22:1990.
19. Jameson A. J. Sci. Comput. 3:1988;233.
20. A. Jameson, J. Reuther, 1994, Control theory based airfoil design using the Euler equations, Proceedings from the 5th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, 1994, 206.
21. Joh C.-Y., Grossman B., Haftka R. T. Eng. Opt. 21:1993;1.
22. Narducci R., Grossman B., Haftka R. Inverse Prob. Eng. 2:1995;49.
23. N. Pagaldipti, A. Chattopadhyay, 1994, A discrete semi-analytical procedure for aerodynamic sensitivity analysis including grid sensitivity, Proceedings from the 5th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, 1994, 161.
24. Pironneau O. J. Fluid Mech. 59:1973;117.
25. Pironneau O. J. Fluid Mech. 60:1974;97.
26. A. Shenoy, E. M. Cliff, 1994, An optimal control formulation for a flow matching problem, Proceedings from the 5th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, 520.
27. A. C. Taylor, III, G. W. Hou, V. M. Korivi, 1991, A methodology for determining aerodynamic sensitivity derivatives with respect to variation of geometric shape, Proceedings of the AIAA/ASME/ASCE/AHS/ASC 32nd Structures, Structural Dynamics, and Materials Conference, Baltimore, MD, 1991.
28. A. C. Taylor, III, G. W. Hou, V. M. Korivi, 1991, Sensitivity analysis, approximate analysis and design optimization for internal and external viscous flows, Proceedings of AIAA Aircraft Design Systems and Operations Meeting, 1991.
29. Thompson J., Warsi Z., Mastin C. Numerical Grid Generation: Foundations and Applications. 1985;North-Holland, New York.