A new approach of the Kalman filter using future temperature measurements for nonlinear inverse heat conduction problems

Numerical Heat Transfer, Part B: Fundamentals

Volumn 45, Issue 6, 2004, Pages 565-585

  Daouas, Naouel ^a   Radhouani, M S ^a  

^a UNIVERSITY OF MONASTIR   (Tunisia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; ENVIRONMENTAL IMPACT; INVERSE PROBLEMS; KALMAN FILTERING; MEASUREMENT ERRORS; PROBLEM SOLVING; SENSITIVITY ANALYSIS; THEOREM PROVING; THERMAL EFFECTS;

INVERSE HEAT CONDUCTION PROBLEM (IHCP); SURFACE CONDITIONS;

HEAT CONDUCTION;

EID: 2942534715     PISSN: 10407790     EISSN: None     Source Type: Journal    
DOI: 10.1080/10407790490430598     Document Type: Article

References (21)

1. J. V. Beck and B. Blackwell, Inverse Problems, in W. J. Minkowycz, E. M. Sparrow, G. E. Schneider, and R. H. Pletcher (eds.), Handbook of Numerical Heat Transfer, chap. 19, Wiley, New York, 1988.
2. J. V. Beck, Surface Heat Flux Determination Using an Integral Method, Nuclear Eng. Design, vol. 7, pp. 170-178, 1968.
3. J. V. Beck and H. Wolf, The Nonlinear Inverse Heat Conduction Problem, ASME Paper 65-HT-40, ASME/AIChE Heat Transfer Conf. and Exhibit, Los Angeles, CA, August 8-11, 1965.
4. J. V. Beck, Nonlinear Estimation Applied to the Nonlinear Inverse Heat Conduction Problem, Int. J. Heat Mass Transfer, vol. 13, pp. 703-716, 1970.
5. A. M. Osman, K. J. Dowding, and J. V. Beck, Numerical Solution of the General Two-Dimensional Inverse Heat Conduction Problem (IHCP), Trans. ASME, vol. 119, pp. 38-44, 1997.
6. G. Blanc, J. V. Beck, and M. Raynaud, Solution of the Inverse Heat Conduction Problem with a Time-Variable Number of Future Temperatures, Numer. Heat Transfer B, vol. 32, pp. 437-451, 1997.
7. M. Raynaud and J. Bransier, A New Finite Difference Method for the Nonlinear Inverse Heat Conduction Problem, Numer. Heat Transfer, vol. 9, pp. 27-42, 1986.
8. E. C. Hensel and R. G. Hills, An Initial Value Approach to the Inverse Heat Conduction Problem, ASME J. Heat Transfer, vol. 108, pp. 248-256, 1986.
9. N. Daouas and M.-S. Radhouani, Version étendue du filtre de Kalman discret appliquée à un problème inverse de conduction de chaleur non linéaire, Int. J. Thermal Sci., vol. 39, pp. 191-212, 2000.
10. R. G. Brown and P. Y. C. Hwang, Introduction to Random Signals and Applied Kalman Filtering, Wiley, New York, 1992.
11. N. Daouas and M.-S. Radhouani, Analyse de la qualité de restitution d'un flux de chaleur surfacique provenant d'un four estimé à l'aide d'une technique inverse statistique, Revue Entropie, no. 242, pp. 57-63, 2002.
12. J. De Shutter, J. De Geeter, T. Lefebre, and H. Bruyninckx, Kalman Filters: A Tutorial, Journal A, vol. 40. no. 4, pp. 52-59, 1999.
13. C.-C. Ji, P.-C. Tuan, and H.-Y. Jang, A Recursive Least-Squares Algorithm for On-Line ID Inverse Heat Conduction Estimation, Int. J. Heat Mass Transfer, vol. 40, no. 9, pp. 2081-2096, 1997.
14. P.-C. Tuan and M.-C. Ju, The Validation of the Robust Input Estimation Approach to Two-Dimensional Inverse Heat Conduction Problems, Numer. Heat Transfer B, vol. 37, pp. 247-265, 2000.
15. M. Cartesegna, F. Scarpa, and G. Milano, Simultaneous Identification of Thermophysical and Moisture Transport Properties in Porous Insulating Materials, High Temp. High Press., vol. 32, no. 1, pp. 53-60, 2000.
16. M. Labarrere, J. P. Krief, and B. Gimonet, Le filtrage et ses applications, Cepadues Eds., Toulouse, France, 1982.
17. F. Scarpa and G. Milano, Kalman Smoothing Technique Applied to the Inverse Heat Conduction Problem, Numer. Heat Transfer B, vol. 28, pp. 79-96, 1995.
18. H. E. Rauch, F. Tung, and C. T. Striebel, Maximum Likelihood Estimates of Linear Dynamic Systems, AIAA J., vol. 3, p. 1445, 1965.
19. S. V. Patankar, Numerical Heat Transfer and Fluid Flow. Hemisphere/McGraw-Hill, New York, 1980.
20. M. Raynaud, Contribution à l'étude des problèmes inverses en thermique, Mémoire d'Habilitation à Diriger des Recherches, INSA de Lyon, France, 1993.
21. J. Beck, B. Blackwell, and C. A. St. Clair, Inverse Heat Conduction, Ill-Posed Problems, Wiley Interscience, New York, 1985.