Inverse radiation analysis in two-dimensional gray media using the discrete ordinates method with a multidimensional scheme

International Journal of Thermal Sciences

Volumn 49, Issue 2, 2010, Pages 302-310

  Salinas, Carlos T ^a  

^a UNIVERSITY OF TAUBATÉ   (Brazil)

Author keywords

Conjugate gradient method; Discrete ordinates method; Inverse radiation analysis; Radiative transfer; Temperature field

Indexed keywords

ABSORPTION COEFFICIENTS; BOUNDARY SURFACES; CAVITY BOUNDARIES; DATA VALUES; DISCRETE ORDINATES; DISCRETE ORDINATES METHOD; FOUR-POINT; GRAY MEDIUM; HIGH ORDER; INVERSE ANALYSIS; INVERSE RADIATION ANALYSIS; INVERSE RADIATION PROBLEMS; ISOTROPIC SCATTERING; MULTIDIMENSIONAL SCHEMES; NON-UNIFORM DISTRIBUTION; NUMERICAL RESULTS; OPTIMIZATION PROBLEMS; PARTICIPATING MEDIA; RADIATION INTENSITY; RADIATIVE INTENSITY; SIMULATED DATA; SPATIAL SCHEME; TEMPERATURE FIELD;

INVERSE PROBLEMS; RADIATIVE TRANSFER; RANDOM ERRORS; SENSORS; TWO DIMENSIONAL;

CONJUGATE GRADIENT METHOD;

EID: 71649086532     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijthermalsci.2009.08.003     Document Type: Article

References (34)

1. McCormick N.J. A critique of inverse solutions to slab geometry transport problems. Prog. Nucl. Energy 8 (1981) 235-245
2. McCormick N.J. Recent developments in inverse scattering transport method. Transp. Theory Stat. Phys. 13 (1984) 15-28
3. McCormick N.J. Methods for solving inverse problems for radiation transport - an update. Transp. Theory Stat. Phys. 15 (1986) 759-772
4. McCormick N.J. Inverse radiative transfer problems: a review. Nucl. Sci. Eng. 112 (1992) 185-198
5. Ertürk H., Ezekoye O.A., and Howell J.R. Comparison of three regularized solution techniques in a three-dimensional inverse radiation problem. J. Quant. Spectrosc. Radiat. Transf. 73 (2002) 307-316
6. França F.R., Howell J.R., Ezekoye O.A., and Morales J.C. Inverse design of thermal systems. In: Hartnett J.P., and Irvine T.F. (Eds). Advances in Heat Transfer vol. 36 (2002) 1-110
7. Daun K.J., and Howell J.R. Inverse design methods for radiative transfer systems. J. Quant. Spectrosc. Radiat. Transf. 93 (2005) 43-60
8. Li H.Y., and Ozisik M.N. Identification of temperature profile in an absorbing emitting and isotropically scattering medium by inverse analysis. J. Heat Transf. 114 (1992) 1060-1063
9. Li H.Y., and Ozisik M.N. Inverse radiation problem for simultaneous estimation of temperature profile and surface reflectivity. J. Thermophys. Heat Transf. 7 (1993) 88-93
10. Neto A.J.S., and Ozisik M.N. An inverse problem of simultaneous estimation of radiation phase function, albedo and optical thickness. J. Quant. Spectrosc. Radiat. Transf. 53 (1995) 397-409
11. Yi H.C., Sanchez R., and McCormick N.J. Bioluminescence estimation from ocean in situ irradiances. Appl. Opt. 31 (1992) 822-830
12. Siewert C.E. An inverse source problem in radiative transfer. J. Quant. Spectrosc. Radiat. Transf. 50 (1993) 603-609
13. Siewert C.E. A radiative transfer inverse-source problem for a sphere. J. Quant. Spectrosc. Radiat. Transf. 52 (1994) 157-160
14. Liu L.H., Tan H.P., and Yu Q.Z. Inverse radiation problem of boundary incident radiation heat flux in semitransparent planar slab with semitransparent boundaries. J. Thermal Sci. 7 (1998) 131-138
15. Liu L.H., Tan H.P., and Yu Q.Z. Inverse radiation problem in one-dimensional semitransparent plane-parallel media with opaque and specularly reflecting boundaries. J. Quant. Spectrosc. Radiat. Transf. 64 (2000) 395-407
16. Li H.Y. Estimation of the temperature profile in a cylindrical medium by inverse analysis. J. Quant. Spectrosc. Radiat. Transf. 52 (1994) 755-764
17. Li H.Y. An inverse source problem in radiative transfer for spherical media. Numer. Heat Transf. B 31 (1997) 251-260
18. Liu L.H., Tan H.P., and Yu Q.Z. Simultaneous identification of temperature profile and wall emissivities in semitransparent medium by inverse radiation analysis. Numer. Heat Transf. A 36 (1999) 511-525
19. Li H.Y. Inverse radiation problem in two-dimensional rectangular media. J. Thermophys. Heat Transf. 11 (1997) 556-561
20. Zhou H.C., Yuan P., Sheng F., and Zheng C.G. Simultaneous estimation of the profiles of the temperature and the scattering albedo in an absorbing emitting and isotropically scattering medium by inverse analysis. Int. J. Heat Mass Transf. 43 (2000) 4361-4364
21. Ozisik M.N., and Orlande H.R.B. Inverse Heat Transfer (2000), Taylor and Francis, New York
22. Tikhonov A.N. Inverse problem in heat conduction. J. Eng. Phys. 29 (1975) 816-820
23. Björck A. Numerical Methods for Least Squares Problems (1996), SIAM, Philadelphia, PA
24. Hansen R.C. Rank Deficient and Discrete Ill-posed Problems: Numerical Aspects of Linear Inversion (1998), SIAM, Philadelphia, PA
25. Vogel C.R. Computational Methods for Inverse Problems (2002), SIAM, Philadelphia, PA
26. Siegel R., and Howell J.R. Thermal Radiation Heat Transfer. third ed. (1992), Taylor & Francis Ltd., London
27. Fiveland W.A. Discrete ordinates solutions of the radiative transport equation for rectangular enclosures. Trans. ASME. J. Heat Transf. 106 (1984) 699-706
28. Ismail K.A.R., and Salinas C.S. Application of multidimensional scheme and the discrete ordinate method to radiative heat transfer in a two-dimensional enclosure with diffusely emitting and reflecting boundary walls. J. Quant. Spectrosc. Radiat. Transf. 88 (2004) 407-422
29. Balsara D. Fast and accurate discrete ordinates methods for multidimensional radiative transfer. Part I, basic methods. J. Quant. Spectrosc. Radiat. Transf. 69 (2001) 671-707
30. Beckman F.S. The solution of linear systems by conjugate gradient method. In: Ralston A., and Wilf H.S. (Eds). Mathematical Methods for Digital Computers (1960), Wiley, New York 62-72
31. Alifanov O.M. Solution of an inverse problem of heat conduction by iteration methods. J. Eng. Phys. 26 (1974) 471-476
32. Koch R., and Becker R. Evaluation of quadrature schemes for the discrete ordinates method. J. Quant. Spectrosc. Radiat. Transf. 84 (2004) 423-435
33. N quadrature set for the discrete ordinates method. J. Heat Transf. 117 (1995) 1068-1070
34. Li H.S., Flamant G., and Lu J.D. An alternative discrete ordinate scheme for collimated irradiation problems. Int. Commun. Heat Mass Transf. 30 (2003) 61-67