A shape identification problem in estimating simultaneously two interfacial configurations in a multiple region domain

Applied Thermal Engineering

Volumn 26, Issue 1, 2006, Pages 77-88

  Huang, Cheng Hung ^a   Shih, Chen Chung ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Boundary element method; Conjugate gradient method; Interface geometry estimation; Multiple region problems; Shape identification

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; ERROR ANALYSIS; IDENTIFICATION (CONTROL SYSTEMS); PROBLEM SOLVING;

CONJUGATE GRADIENT METHOD (CGM); GRADIENT EQUATIONS; INVERSE GEOMETRY; TWO-DIMENSIONAL SHAPE IDENTIFICATION;

INTERFACES (MATERIALS);

EID: 25844518349     PISSN: 13594311     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.applthermaleng.2005.04.019     Document Type: Article

References (18)

1. O.M. Alifanov Solution of an inverse problem of heat conduction by iteration methods Journal of Engineering Physics 26 1974 471 476
2. C.H. Huang, C.Y. Yeh, and H.R.B. Orlande A non-linear inverse problem in simultaneously estimating the heat and mass production rates for a chemically reacting fluid Chemical Engineering Science 58 2003 3741 3752
3. C.H. Huang, and J.Y. Yan An inverse problem in simultaneously measuring temperature dependent thermal conductivity and heat capacity International Journal of Heat and Mass Transfer 38 1995 3433 3441
4. P. Tervola A method to determine the thermal conductivity from measured temperature profiles International Journal of Heat and Mass Transfer 32 1989 1425 1430
5. C.H. Huang, and M.N. Ozisik A direct integration approach for simultaneously estimating temperature dependent thermal conductivity and heat capacity Numerical Heat Transfer, Part A 20 1991 95 110
6. C.H. Huang, and B.H. Chao An inverse geometry problem in identifying irregular boundary configurations International Journal of Heat and Mass Transfer 40 1997 2045 2053
7. O.M. Alifanov Inverse Heat Transfer Problems 1994 Springer-Verlag Berlin, Heidelberg
8. C.H. Huang, and C.C. Tsai A transient inverse two-dimensional geometry problem in estimating time-dependent irregular boundary configurations International Journal of Heat and Mass Transfer 41 1998 1707 1718
9. C.H. Huang, C.C. Chiang, and H.M. Chen A shape identification problem in estimating the geometry of multiple cavities AIAA, Journal of Thermophysics and Heat Transfer 12 1998 270 277
10. C.H. Huang, and H.M. Chen An inverse geometry problem of identifying growth of boundary shapes in a multiple region domain Numerical Heat Transfer; Part A 35 1999 435 450
11. H.M. Park, and H.J. Shin Empirical reduction of modes for the shape identification problems of heat conduction systems Computer Methods in Applied Mechanics and Engineering 192 2003 1893 1908
12. H.M. Park, and H.J. Shin Shape identification for natural convection problems using the adjoint variable method Journal of Computational Physics 186 2003 198 211
13. C.H. Cheng, and M.H. Chang A simplified conjugate-gradient method for shape identification based on thermal data Numerical Heat Transfer, Part B 43 2003 489 507
14. D.S. Kwag, I.S. Park, and W.S. Kim Inverse geometry problem of estimating the phase front motion of ice in a thermal storage system Inverse Problems in Engineering 12 2004 1 15
15. C.H. Huang, and C.C. Shih A shape identification problem in estimating the interfacial configurations in a multiple region domain AIAA, Journal of Thermophysics and Heat Transfer 19 2005
16. C.A. Brebbia, and J. Dominguez Boundary Elements: An Introductory Course 1989 McGraw-Hill New York
17. L.S. Lasdon, S.K. Mitter, and A.D. Warren The conjugate gradient method for optimal control problem IEEE Transactions on Automatic Control, AC 12 1967 132 138
18. IMSL Library Edition 10.0, User's Manual: Math Library Version 1.0, IMSL, Houston, TX, 1987.