Structured Multiblock Grid Solution of Two-Dimensional Transient Inverse Heat Conduction Problems in Cartesian Coordinate System

REFERENCES

• J. Hadamard , Lectures on Cauchy's Problem in Linear Differential Equations , Yale University Press , New Haven , CT , 1923 .
   Google Scholar
• J. V. Beck and K. A. Woodbury , Inverse Problems and Parameter Estimation: Integration of Measurements and Analysis , Meas. Sci. Technol. , vol. 9 , pp. 839 – 847 , 1998 . [CSA]
   Web of Science ®Google Scholar
• J. V. Beck and K. J. Arnold , Parameter Estimation in Engineering and Science , Wiley , New York , 1977 .
   Google Scholar
• A. Azimi , V. Esfahanian , and S. Kazemzadeh Hannani , Simultaneous Computations of Internal-External Axisymmetric Laminar Compressible Flow Using Multi-Block Method , Proc. 11th Annual Conf. of the CFD, Society of Canada , vol. 2 , pp. 437 – 444 , University of British Columbia , Vancouver , Canada , 2003 .
   Google Scholar
• J. D. Anderson , Computational Fluid Dynamics: The Basic with Applications , McGraw-Hill , New York , 1995 .
   Google Scholar
• D. W. Pepper and J. C. Heinrich , The Finite Element Method: Basic Concept and Applications , Hemisphere , Washington , DC , 1992 .
   Google Scholar
• C. K. Chen , T. M. Chen , and J. W. Cleaver , New Hybrid Laplace Transform/Finite Element Method for Two-Dimensional Transient Heat Conduction Problem , Numer. Heat Transfer B , vol. 20 , no. 2 , pp. 191 – 205 , 1991 . [CSA]
   Web of Science ®Google Scholar
• R. Pasquetti and C. Le Niliot , Boundary Element Approach for Inverse Heat Conduction Problems. Application to a Bidimensional Transient Numerical Experiment , Numer. Heat Transfer B , vol. 20 , no. 2 , pp. 169 – 189 , 1991 . [CSA]
   Web of Science ®Google Scholar
• C. H. Huang and M. N. Ozisik , Inverse Problem of Determining the Unknown Strength of an Internal Plane Heat Source , J. Franklin Inst. , vol. 329 , no. 4 , pp. 751 – 764 , 1992 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• A. J. Silva Neto and M. N. Ozisik , Inverse Problem of Simultaneously Estimating the Timewise-Varying Strengths of Two Plane Heat Sources , J. Appl. Phys. , vol. 73 , no. 5 , pp. 2132 – 2137 , 1993 . [CSA] [CROSSREF]
   Google Scholar
• A. A. Tseng and F. Z. Zhoa , Multidimensional Inverse Transient Heat Conduction Problems by Direct Sensitivity Coefficient Method Using a Finite-Element Scheme , Numer. Heat Transfer B , vol. 29 , no. 3 , pp. 365 – 380 , 1996 . [CSA]
   Web of Science ®Google Scholar
• H. T. Chen and T. Y. Lin , Estimations of Temperature-Dependent Thermal Conductivity and Heat Capacity , Int. J. Heat Mass Transfer , vol. 41 , no. 14 , pp. 2237 – 2244 , 1998 . [CSA] [CROSSREF]
   Google Scholar
• R. S. Banim , M. J. Tierney , and P. N. Brett , The Estimation of Fluid Temperatures through an Inverse Heat Conduction Technique , Numer. Heat Transfer A , vol. 37 , no. 5 , pp. 465 – 476 , 2000 . [CSA] [CROSSREF]
   Google Scholar
• J. Su and A. J. Silva Neto , Heat Source Estimation with the Conjugate Gradient Method in Inverse Linear Diffusive Problems , J. Brazilian Soc. Mech. Sci. , vol. 23 , no. 3 , pp. 1 – 20 , 2001 . [CSA]
   Google Scholar
• R. Abou Khachfe and Y. Jarny , Determination of Heat Sources and Heat Transfer Coefficient for 2-D Heat Flow: Numerical and Experimental Study , Int. J. Heat Mass Transfer , vol. 44 , no. 7 , pp. 1309 – 1322 , 2001 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• J. Su and G. F. Hewitt , Inverse Heat Conduction Problem of Estimating Time-Varying Heat Transfer Coefficient , Numer. Heat Transfer A , vol. 45 , no. 8 , pp. 777 – 789 , 2004 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• A. J. Silva Neto and M. N. Ozisik , Two-Dimensional Inverse Heat Conduction Problem of Estimating the Time-Varying Strength of a Line Heat Source , J. Appl. Phys. , vol. 71 , pp. 5357 – 5362 , 1992 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• C. H. Huang and M. N. Ozisik , Direct Integration Approach for Simultaneously Estimating Temperature Dependent Thermal Coductivity and Heat Capacity, Numer. Heat Transfer A , vol. 20, no. 1, pp. 95–110, 1991. [CSA]
   Web of Science ®Google Scholar
• C. Y. Yang , A Sequential Method to Estimate the Strength of the Heat Source Based on Symbolic Computation , Int. J. Heat Mass Transfer , vol. 41 , no. 14 , pp. 2245 – 2252 , 1998 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• C. Y. Yang , The Determination of Two Heat Sources in an Inverse Heat Conduction Problem , Int. J. Heat Mass Transfer , vol. 42 , pp. 345 – 356 , 1999 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• C. Le Niliot , D. Petit , Y. Touhami , and P. Gallet , An Experimental Estimation of a Point Heat Source in a 2D Diffusion System Using Different Numerical Techniques , Proc. 2nd Conf. on Inverse Problems in Engineering: Theory and Practice , Le Croisic , France , 1996 , pp. 9 – 14 .
   Google Scholar
• C. Le Niliot , The Boundary Element Method for the Time Varying Strength Estimation of Point Heat Sources: Application to a 2D Diffusion System , Numer. Heat Transfer B , vol. 33 , pp. 301 – 321 , 1998 . [CSA]
   Web of Science ®Google Scholar
• C. Le Niliot , F. Rigolleta , and D. Petit , An Experimental Identification of Line Heat Sources in a Diffusive System Using the Boundary Element Method , Int. J. Heat Mass Transfer , vol. 43 , pp. 2205 – 2220 , 2000 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• C. Le Niliot and F. Lefèvre , Multiple Transient Point Heat Sources Identification in Heat Diffusion: Application to Numerical 2-D and 3-D Problems , Numer. Heat Transfer B , vol. 39 , pp. 277 – 301 , 2001 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• C. Le Niliot and F. Lefèvre , A Parameter Estimation Approach to Solve the Inverse Problem of Point Heat Sources Identification , Int. J. Heat Mass Transfer , vol. 47 , pp. 827 – 841 , 2004 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• G. Karami and M. R. Hematiyan , A Boundary Element Method of Inverse Non-linear Heat Conduction Analysis with Point and Line Heat Sources , Commun. Numer. Meth. Eng. , vol. 16 , pp. 191 – 203 , 2000 . [CSA] [CROSSREF]
   Google Scholar
• F. Lefèvre and C. Le Niliot , Multiple Transient Point Heat Sources Identification in Heat Diffusion: Application to Experimental 2D Problems , Int. J. Heat Mass Transfer , vol. 45 , no. 9 , pp. 1951 – 1964 , 2002 . [CSA] [CROSSREF]
   Google Scholar
• E. Videcoq , D. Petit , and A. Piteau , Experimental Modeling and Estimation of Time Varying Thermal Sources , Int. J. Thermal Sci. , vol. 42 , pp. 255 – 265 , 2003 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• A. Azimi , S. Kazemzadeh Hannani , and B. Farhanieh , Simultaneous Estimation of Heat Source and Boundary Condition in Two-Dimensional Transient Inverse Heat Conduction Problem , Lecture Series on: Computer and Computational Sciences , vol. 1 , pp. 49 – 52 , VSP International Science Publishers , Zeist , The Netherlands , 2004 .
   Google Scholar
• A. Azimi , S. Kazemzadeh Hannani , and B. Farhanieh , Application of Multi Block Method for Solution of Two-Dimensional Transient Inverse Heat Conduction Problems, Paper no. A10 . Proc. 5th Int. Conf. on Inverse Problems in Engineering: Theory and Practice , Cambridge , UK , 2005 .
   Google Scholar
• M. N. Ozisik and H. R. B. Orlande , Inverse Heat Transfer: Fundamentals and Applications , Taylor & Francis , New York , 2000 .
   Google Scholar
• K. J. Dowding , B. F. Blackwell , and R. J. Cochran , Application of Sensitivity Coefficients for Heat Conduction Problems , Numer. Heat Transfer B , vol. 36 , pp. 33 – 55 , 1999 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• K. J. Dowding , B. F. Blackwell , and K. J. Cochran , Sensitivity Computations for Thermal Problems , 5th US Natl. Congress on Computational Mechanics (USNCCM99) , Colorado , USA , August , 1999 .
   Google Scholar
• B. F. Blackwell and K. J. Dowding , Sensitivity and Uncertainty Analysis for Thermal Problems , Proc. 4th Int. Conf. on Inverse Problems in Engineering: Theory and Practice , Rio de Janeiro , Brazil , 2002 , pp. 9 – 14 .
   Google Scholar
• J. V. Beck , B. Blackwell , and C. R. St Clair , Inverse Heat Conduction , Wiley , New York , 1985 .
   Google Scholar
• K. Kurpisz and A. J. Nowak , Inverse Thermal Problems , Computational Mechanics Publications , Southampton , UK , 1995.
   Google Scholar
• R. Fletcher and C. M. Reeves , Function Minimization by Conjugate Gradients , Comput. J. , vol. 7 , pp. 149 – 154 , 1964 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• A. F. Emery and A. V. Nenarokomov , Optimal Experiment Design , Meas. Sci. Technol. , vol. 9 , pp. 864 – 876 , 1998 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar