Applications of continuous sensitivity equations to flows with temperature-dependent properties

Numerical Heat Transfer; Part A: Applications

Volumn 44, Issue 6, 2003, Pages 611-624

  Turgeon, E ^a   Pelletier, D ^a   Borggaard, J ^b  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

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

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; OPTIMIZATION; SENSITIVITY ANALYSIS; SPECIFIC HEAT; VISCOSITY;

UNCERTAINTY ANALYSIS;

HEAT CONVECTION;

EID: 0242637087     PISSN: 10407782     EISSN: 15210634     Source Type: Journal    
DOI: 10.1080/716100514     Document Type: Article

References (16)

1. J. Borggaard, J. Burns, E. Cliff, and M. Gunzburger. Sensitivity Calculations for a 2D, Inviscid, Supersonic Forebody Problem, in H. T. Banks, R. Fabiano, and K. Ito (ed.), Identification and Control of Systems Governed by Partial Differential Equations, pp. 1424, SIAM, Philadelphia, 1993.
2. J. Borggaard and D. Pelletier, Computing Design Sensitivities Using an Adaptive Finite Element Method, Proc. 27th AIAA Fluid Dynamics Conf., 1996.
3. A. Dadone and B. Grossman. Progressive Optimization of Fluid Dynamic Design Problems, Proc. 35th AIAA Aerospace Sciences Meeting and Exhibit, pp. 168-181, 1997, AIAA Paper AIAA-97-1848, 1997.
4. P. A. Newman, Preparation of Advanced CFD Codes for Use in Sensitivity Analyses and Multidisciplinary Design Optimization, in J. Borggaard, J. Burkardt, M. Gunzburger, and J. Peterson (eds.). Optimal Design and Control, pp. 241-274, Birkhauser, Boston, 1995.
5. A. C. Taylor III, G. W. Hou, and V. M. Korivi, Sensitivity Analysis Applied to the Euler Equations: A Feasibility Study with Emphasis on Variation of Geometric Shape, Proc. 29th Aerospace Sciences Meeting, 1991, AIAA Paper 91-0173, 1991.
6. E. Turgeon, D. Pelletier, and J. Borggaard, A Continuous Sensitivity Equation Approach to Optimal Design in Mixed Convection, Proc. 33rd AIAA Therm physics Conf., 1999, AIAA Paper 99-3625, 1999.
7. O. Baysal, Aerodynamic Shape Optimization: Methods and Applications, Proc. 1999 World Aviation Conf., San Francisco, CA, 1999.
8. A. Jameson and J. Reuther, Control Theory Based Airfoil Design Using the Euler Equations, Proc. 5th AIAA/USAF/NASA/ISSMO Symp. on Multidisciplinary Analysis and Optimization, pp. 206-222, 1994.
9. N. Zabaras and G. Yang, A Functional Optimization Formulation and Implementation of an Inverse Natural Convection Problem, Comput. Meth. Appl. Mech. Eng., Vol. 144, 3-4, pp. 245-274, 1997.
10. B. F. Blackwell, K. J. Dowding, R. J. Cochran, and D. Dobranich, Utilization of Sensitivity Coefficients to Guide the Design of a Thermal battery, ASMEIMECE, Anahaeim, CA, November 1998.
11. A. G. Godfrey and E. M. Cliff, Direct Calculation of Aerodynamic Force Derivatives: A Sensitivity Equation Approach, Proc. 36th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 1998, AIAA Paper 98-0393, 1998.
12. A. G. Godfrey, W. M. Eppard, and E. M. Cliff, Using Sensitivity Equations for Chemically Reacting Flows, 7 th AIAA/USAF/NASA/ISSMO Symp. on Multidisciplinary Analysis and Optimization, St. Louis, MO, September 2-4, 1998, AIAA Paper 98-4805, 1998.
13. E. J. Haug, K. K. Choi, and V. Komkov. Design Sensitivity Analysis of Structural Systems, vol. 177 of Mathematics in Science and Engineering, Academic Press, Orlando, FL, 1986.
14. M. Kleiber, H. Antunez, D. Hien, and T. Kowalczyk, Parameter Sensitivities in Nonlinear Mechanics, Wiley, Newyork, 1997.
15. T. Y. Chu and C. E. Hickox, Thermal Convection with Large Viscosity Variations in an Enclosure with Localized Heating, ASME J. Heat Transfer, 112, no. 2, p. 388, 1990.
16. E. Turgeon, D. Pelletier, and J. Borggaard, A General Continuous Sensitivity Equation Formulation for Complex Flows, Proc. 8th AIAA/NASA/USAF/ISSMO Symp. on Multidisciplinary Analysis and Optimization, AIAA Paper 2000-4732, (2000).