Comparison of methods for inverse design of radiant enclosures

Journal of Heat Transfer

Volumn 128, Issue 3, 2006, Pages 269-282

  Daun, Kyle ^a   França, Francis ^b   Larsen, Marvin ^c   Leduc, Guillaume ^d   Howell, John R ^e  

^a NATIONAL RESEARCH COUNCIL CANADA   (Canada)

^b FEDERAL UNIVERSITY OF RIO GRANDE DO SUL   (Brazil)

^c SANDIA NATIONAL LABORATORIES   (United States)

^d UNIVERSITÉ PAUL SABATIER   (France)

^e UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; GRADIENT METHODS; HEAT RADIATION; MAXIMUM LIKELIHOOD ESTIMATION; MONTE CARLO METHODS; SIMULATED ANNEALING;

CONJUGATE GRADIENT REGULARIZATION; RADIANT ENCLOSURES; SINGULAR VALUE DECOMPOSITION;

INVERSE PROBLEMS;

COMPUTER SIMULATION; GRADIENT METHODS; HEAT RADIATION; INVERSE PROBLEMS; MAXIMUM LIKELIHOOD ESTIMATION; MONTE CARLO METHODS; SIMULATED ANNEALING;

EID: 33645634929     PISSN: 00221481     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2151198     Document Type: Article

References (23)

1. Alifanov, O. M., 1994, Inverse Heat Transfer Problems, Springer, Berlin.
2. Alifanov, O. M., Artyukhin, E. A., and Rumyantsev, S. V., 1995, Extreme Methods for Solving III-Posed Problems with Applications to Inverse Heat Transfer Problems, Begell House, New York.
3. Beck, J. V., Blackwell, B., and St. Clair, Jr., C. R., 1995, Inverse Heat Conduction: III-Posed Problems, Wiley, New York.
4. Özişik, M. N., and Orlande, H. R. B., 2000, Inverse Heat Transfer. Fundamentals and Applications, Taylor and Francis, New York.
5. Tikhonov, A. N., 1963, "Solution of Incorrectly Formulated Problems and the Regularization Method," Sov. Math. Dokl., 4, pp. 1035-1038 (Engl. trans., Dokl. Akad. Nauk SSSR, 151, pp. 501-504, 1963).
6. França, F. H. R., Howell, J. R., Ezekoye, O. A., and Morales, J. C., 2002, "Inverse Design of Thermal Systems," Advances in Heat Transfer, J. P. Hartnett and T. F. Irvine, eds., Elsevier, New York, Vol. 36, Chap. 1, pp. 1-110.
7. Daun, K, J., Ertürk, H., and Howell, J. R., 2003, "Inverse Design Methods for High-Temperature Systems," Arabian J. Sci. Tech., 27(2C), pp. 3-48.
8. França, F. H. R., Ezekoye, O. A., and Howell, J. R., 2001, "Inverse Boundary Design Combining Radiation and Convection Heat Transfer," ASME J. Heat Transfer, 123(5), pp. 884-891.
9. Daun, K. J., Ertürk, H., Gamba, M., Hosseini Sarvari, M., and Howell, J. R., 2003, "The Use of Inverse Methods for the Design and Control of Radiant Sources," JSME Int. J., Ser. B, 46(4), pp. 470-478.
10. Daun, K. J., and Howell, J. R., 2005, "Inverse Design Methods for Radiative Transfer Systems," J. Quant. Spectrosc. Radiat. Transf., 93, pp. 43-60.
11. Gamba, M., Pavy, T., and Howell, J. R., 2003, "Inverse Methods for Design and Control of Thermal Systems: Validation in a 2-D Visible Light Enclosure," Proc. 2003 IMECE, Washington, DC, ASME, New York, Paper IMECE-42987.
12. Gamba, M., Erturk, H., Ezekoye, O. A., and Howell, J. R., 2002, "Modeling of a Radiative RTP-Type Production Furnace Through Inverse Design: Mathematical Model and Experimental Results," Proc. 2002 IMECE, New Orleans, ASME, New York, Vol. 1.
13. Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., 1992, Numerical Recipes, Cambridge University Press, Cambridge, England.
14. Hansen, P. C., 1998, Rank-Deficient and Discrete III-Posed Problems: Numerical Aspects of Linear Inversion, SIAM, Philadelphia.
15. Beckman, F. S., 1960, "The Solution of Linear Equations by the Conjugate Gradient Method," Mathematical Methods For Digital Computers, A. Ralston and H. S. Wilf, eds., Wiley, New York, pp. 62-72.
16. Bertsekas, D. P., 1999, Nonlinear Programming, 2nd ed., Athena Scientific, Belmont, MA.
17. Metropolis, N., Rosenbluth, A., Rosenbluth, M., Teller, A., and Teller, E., 1953, "Equation of State Calculations by Fast Computing Machines," J. Chem. Phys., 21, pp. 1087-1090.
18. Daun, K. J., Morton, D. R, and Howell, J. R., 2005, "Smoothing Monte Carlo Exchange Factors Through Constrained Maximum Likelihood Estimation," ASME J. Heat Transfer, 27(10), pp. 1124-1128.
19. Howell, J. R., and Daun, K. J., 2004, "Inverse Design in Thermal Radiation Problems," Proc. Inverse Problems, Design, and Optimization Symposium, Rio de Janeiro, Brazil, March.
20. Corana, A., Marchesi, M., Martini, C., and Ridella, S., 1987, "Minimizing Multimodal Functions of Continuous Variables With the 'Simulated Annealing Algorithm'," ACM Trans. Math. Softw., 13, pp. 262-280.
21. Goffe, W. L., Ferrier, G., and Rogers, J., 1994, "Global Optimization of Statistical Functions With Simulated Annealing," J. Econometr., 60(1/2), pp. 65-100.
22. Ertürk, H., Ezekoye, O. A., and Howell, J. R., 2002, "The Application of an Inverse Formulation in the Design of Boundary Conditions for Transient Radiating Enclosures," ASME J. Heat Transfer, 124(6), pp. 1095-1102.
23. Ertürk, H., Ezekoye, O. A., and Howell, J. R., 2002, "The Use of Inverse Formulation in Design and Control of Transient Thermal Systems," Heat Transfer 2002: Proc. International Heat Transfer Conf., Grenoble, Taine, J., ed. (CDRom Version), pp. 729-734.