Cavity-shape identification with convective boundary conditions using non-boundary-fitted meshes

Numerical Heat Transfer, Part B: Fundamentals

Volumn 57, Issue 4, 2010, Pages 283-305

  Kazemzadeh Parsi, Mohammad Javad ^a   Daneshmand, Farhang ^b,c  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

^b SHIRAZ UNIVERSITY   (Iran)

^c MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CAVITY SIZE; CUBIC SPLINE; DOMAIN BOUNDARY; DOMAIN PROBLEMS; FITTED MESH; GEOMETRIC SHAPE; HEAT-CONDUCTING MEDIUM; INITIAL GUESS; INVERSE-GEOMETRY; MESH SIZE; NEW APPROACHES; NONLINEAR MINIMIZATION; NUMERICAL EXAMPLE; OPTIMIZATION ALGORITHMS; PARAMETERIZATION TECHNIQUES; SHAPE SENSITIVITY ANALYSIS; SHAPE VARIATIONS; SMOOTHING TECHNIQUES; SQUARED ERRORS; SYSTEM IDENTIFICATIONS;

ALGORITHMS; BOUNDARY CONDITIONS; INVERSE PROBLEMS; MEASUREMENT ERRORS; OPTIMIZATION; SENSITIVITY ANALYSIS;

CONJUGATE GRADIENT METHOD;

EID: 77953996807     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/10407790.2010.481496     Document Type: Article

References (31)

1. A. N. Tikhnov and V. Y. Arsenin, Solution of Ill-posed Problems, V. H. Winston, Washington, DC, 1977.
2. M. Gonzalez and M. B. Goldschmit, Inverse Geometry Heat Transfer Problem Based on a Radial Basis Functions Geometry Representation, Int. J. Numer. Meth. Eng., vol.65, pp. 1243-1268, 2006.
3. C. R. Su and C. K. Chen, Geometry Estimation of the Furnace Inner Wall by an Inverse Approach, Int. J. Heat Mass Transfer, vol.50, pp. 3767-3773, 2007.
4. C. K. Chen and C. R. Su, Inverse Estimation for Temperatures of Outer Surface and Geometry of Inner Surface of Furnace with Two Layer Walls, Energy Conversion Management, vol.49, pp. 301-310, 2008.
5. H. M. Park and H. J. Shin, Shape Identification for Natural Convection Problems Using the Adjoint Variable Method, J. Comput. Phys., vol.186, pp. 198-211, 2003.
6. 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 Prob. Sci. Eng., vol.12, pp. 1-15, 2004.
7. C. H. Huang, An Inverse Geometry Problem in Estimating Frost Growth on an Evaporating Tube, Heat Mass Transfer, vol.38, pp. 615-623, 2002.
8. J. Xianga, X. Chenb, Q. Moa, and Z. Heb, Identification of Crack in a Rotor System Based on Wavelet Finite Element Method, Finite Elem. Anal. Design, vol.43, pp. 1068-1081, 2007.
9. C. H. Huang and C. C. Shih, A Shape Identification Problem in Estimating Simultaneously Two Interfacial Configurations in a Multiple Region Domain, Appl. Thermal Eng., vol.26, pp. 77-88, 2006.
10. N. S. Mera, L. Elliot, and D. B. Ingham, Numerical Solution of a Boundary Detection Problem Using Genetic Algorithms, Eng. Anal. Boundary Elem., vol.28, pp. 405-411, 2004.
11. E. Divo, A. J. Kassab, and F. Rodriguez, An Efficient Singular Superposition Technique for Cavity Detection and Shape Optimization, Numer. Heat Transfer B, vol.46, no.1, pp. 1-30, 2004.
12. C. H. Huang and H. M. Chen, Inverse Geometry Problem of Identifying Growth of Boundary Shapes in a Multiple Region Domain, Numer. Heat Transfer A, vol.35, pp. 435-450, 1999.
13. H. S. Lee, Y. H. Kim, C. J. Park, and H. W. Park, A New Spatial Regularization Scheme for the Identification of the Geometric Shape of an Inclusion in a Finite Body, Int. J. Numer. Meth. Eng., vol.46, pp. 973-992, 1999.
14. C. H. Cheng and M. H. Chang, A Simplified Conjugate-Gradient Method for Shape Identification Based on Thermal Data, Numer. Heat Transfer B, vol.43, pp. 489-507, 2003.
15. C. H. Cheng and M. H. Chang, Shape Identification for Water-Ice Interface within the Cylindrical Capsule in Cold Storage System by Inverse Heat Transfer Method, Int. J. Refrig., vol.26, pp. 543-550, 2003.
16. J. Y. Tan, J. M. Zhao, and L. H. Liu, Meshless Method for Geometry Boundary Identification problem of Heat Conduction, Numer. Heat Transfer B, vol.55, pp. 135-154, 2009.
17. G. R. Liu, Mesh Free Methods: Moving Beyond the Finite Element Method, CRC Press, New York, 2003.
18. M. J. Garcia, Fixed Grid Finite Element Analysis in Structural Design and Optimization, Ph.D. thesis, University of Sydney, Sydney, Australia, 1999.
19. M. J. Garcia and G. P. Steven, Fixed Grid Finite Elements in Elasticity Problems, Eng. Comput., vol.16, pp. 145-164, 1999.
20. M. Bensoe and N. Kikuchi, Generating Optimal Topologies in Structural Design Using a Homogenization Method, Comput. Meth. Appl. Mech. Eng., vol.71, pp. 197-224, 1988.
21. H. Kim, M. J. Garcia, O. M. Querin, G. P. Steven, and Y. M. Xie, Fixed Grid Finite Element Analysis in Evolutionary Structural Optimization, Eng. Comput., vol.17, pp. 427-439, 2000.
22. M. J. Garcia and C. A. Gonzalez, Shape Optimization of Continuum Structures via Evolution Strategies and Fixed Grid Finite Element Analysis, J. Struct. Multidisci. Optim., vol.26, pp. 92-98, 2004.
23. M. J. Garcia, M. A. Henao, and O. E. Ruiz, Fixed Grid Finite Element Analysis for 3D Structural Problems, Int. J. Comput. Meth., vol.2, pp. 569-586, 2005.
24. F. Daneshmand and M. J. Kazemzadeh-Parsi, Static, and Dynamic Analysis of 2D and 3D Elastic Solids Using the Modified FGFEM, Finite Elem. Anal. Des., vol.45, pp. 755-765, 2009.
25. G. R. Liu, K. Y. Dai, and T. T. Nguyen, A Smoothed Finite Element for Mechanics Problems, Comput. Mech., vol.39, pp. 859-877, 2007.
26. T. Strouboulis, K. Copps, and I. Babuska, The Generalized Finite Element Method, Comput. Meth. Appl. Mech. Eng., vol.190, pp. 4081-4193, 2001.
27. N. Sukumar, D. L. Chopp, N. Moes, and T. Bclytsohko, Modeling Holes and Inclusions by Level Sets in the Extended Finite Element Method, Comput. Meth. Appl. Mech. Eng., vol.190, pp. 6183-6200, 2001. (Pubitemid 32961904)
28. K. Terada and M. Kurumatani, Performance Assessment of Generalized Elements in the Finite Cover Method, Finite Elem. Anal. Des., vol.41, pp. 111-132, 2004.
29. R. T. Haftka and Z. Gurdal, Elements of Structural Optimization, 3rd ed., Kluwer, Dordrecht, The Netherlands, 1992.
30. M. J. Kazemzadeh-Parsi and F. Daneshmand, Solution of Geometric Inverse Heat Conduction Problems by Smoothed Fixed Grid Finite Element Method, Finite Elem. Anal. Des., vol.45, pp. 599-611, 2009.
31. M. J. Kazemzadeh-Parsi and F. Daneshmand, Unconfined Seepage Analysis in Earth Dams Using Smoothed Fixed Grid Finite Element Method, Int. J. Anal. Numer. Meth. Geomech., in press, 2010.