Recent progress in computational thermal radiative transfer

Chinese Science Bulletin

Volumn 54, Issue 22, 2009, Pages 4135-4147

  Tan, HePing ^a   Liu, LinHua ^a   Yi, HongLiang ^a   Zhao, JunMing ^a   Qi, Hong ^a   Tan, JianYu ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Computational method; Radiative transfer equation; Thermal radiation

Indexed keywords

EID: 74549190955     PISSN: 10016538     EISSN: 18619541     Source Type: Journal    
DOI: 10.1007/s11434-009-0625-1     Document Type: Review

References (94)

1. Modest M F. Radiative Heat Transfer. 2nd ed. New York: Academic Press, 2003.
2. Tan H P, Xia X L, Liu L H, et al. Numerical calculation for infrared radiative characteristics and transfer-computational thermal radiation. Harbin: Press of the Harbin Institute of Technology, 2006.
3. Liu L H, Zhao J M, Tan H P. Finite/Spectral Element Methods for Solving Radiative Transfer Equation (in Chinese). Beijing: Science Press, 2008.
4. Tan H P, Lallemand M. Transient radiative-conductive heat transfer in flat glasses submitted to temperature, flux and mixed boundary conditions. Int J Heat Mass Transfer, 1989, 32: 795-810.
5. Tan H P, Maestre B, Lallemand M. Transient and steady-state combined heat transfer in semi-transparent materials subjected to a pulse or a step irradiation. J Heat Trans-T ASME, 1991, 113: 166-173.
6. Tan H P, Ruan L M, Xia X L, et al. Transient coupled radiative and conductive heat transfer in an absorbing, emitting and scattering medium. Int J Heat Mass Transfer, 1999, 42: 2967-2980.
7. Tan H P, Ruan L M, Tong T W. Temperature response in absorbing, isotropic scattering medium caused by laser pulse. Int J Heat Mass Transfer, 2000, 43: 311-320.
8. Tan H P, Luo J F, Xia X L. Transient coupled radiation and conduction in a three-layer composite with semitransparent specular interfaces and surfaces. J Heat Trans-T ASME, 2002, 124: 470-481.
9. Luo J F, Xia X L, Tan H P, et al. Transient coupled heat transfer in three-layer composite with opaque specular surfaces. J Thermophys Heat Tr, 2002, 16: 297-305.
10. Luo J F, Tan H P, Ruan L M, et al. Refractive index effects on heat transfer in multilayer scattering composite. J Thermophys Heat Tr, 2003, 17: 407-419.
11. Tan H P, Luo J F, Ruan L M, et al. Transient coupled heat transfer in a multi-layer composite with opaque specular surfaces and semitransparent specular interfaces. Int J Therm Sci, 2003, 42: 209-222.
12. Tan H P, Luo J F, Xia X L, et al. Transient coupled heat transfer in multi-layer composite with one specular boundary coated. Int J Heat Mass Transfer, 2003, 46: 731-747.
13. Tan H P, Yi H L, Wang P Y, et al. Ray tracing method for transient coupled heat transfer in an anisotropic scattering layer. Int J Heat Mass Transfer, 2004, 47: 4045-4059.
14. Yi H L, Xie M, Tan H P. Transient coupled heat transfer in an anisotropic scattering composite slab with semitransparent surfaces. Int J Heat Mass Transfer, 2008, 51: 5918-5930.
15. Yi H L, Xie M, Tan H P. Ray tracing method for radiative heat transfer within a two-layer anisotropic scattering medium. Numer Heat Tr A-Appl, 2008, 54: 481-506.
16. Tan H P, Yi H L, Luo J F, et al. Transient coupled heat transfer inside a scattering medium with graded refractive index. J Thermophys Heat Tr, 2006, 20: 583-594.
17. Yi H L, Tan H P, Zhang H C, et al. Ray-tracing/nodal-analyzing model for transient thermal behavior of a scattering medium with a variable refractive index. Numer Heat Tr A-Appl, 2006, 49: 607-634.
18. Yi H L, Tan H P. Transient radiative heat transfer in an inhomogeneous participating medium with Fresnel's surfaces. Sci China Ser E: Tech Sci, 2008, 51: 1110-1124.
19. Reddy J N, Murty V D. Finite element solution of integral equations arising in radiative heat transfer and laminar boundary-layer theory. Numer Heat Tr, 1978, 1: 389-401.
20. Razzaque M M, Klein D E, Howell J R. Finite element solution of radiative heat transfer in two-dimensional rectangular enclosure with gray participating media. J Heat Trans-T ASME, 1983, 105: 933-936.
21. Fiveland W A, Jessee J P. Finite element formulation of the discreteordinates method for multidimensional geometries. J Thermophys Heat Tr, 1994, 8: 426-433.
22. Liu L H. Finite element simulation of radiative heat transfer in absorbing and scattering media. J Thermophys Heat Tr. 2004, 18: 555-557.
23. Zhang L, Liu L H, Zhao J M. Upwind finite element method for solving radiative heat transfer in semitransparent media. Proc CSEE, 2007, 27: 73-77.
24. Liu L H. Least-squares finite element method for radiative heat transfer in graded index medium. J Quant Spectrosc Ra, 2007, 103: 536-544.
25. Zhao J M, Liu L H. Second order radiative transfer equation and its properties of numerical solution using finite element method. Numer Heat Tr B-Fund, 2007, 51: 391-409.
26. Coelho P J. A hybrid finite volume/finite element discretization method for the solution of the solution of the radiative heat transfer equation. J Quant Spectrosc Ra, 2005, 93: 89-101.
27. An W, Ruan L M, Tan H P, et al. Least-squares finite element analysis for transient radiative transfer in absorbing and scattering media. J Heat Trans-T ASME, 2006, 128: 499-503.
28. Liu L H. Finite Element solution of radiative transfer across a slab with variable spatial refractive Index. Int J Heat Mass Transfer, 2005, 48: 2260-2265.
29. Liu L H, Zhang L, Tan H P. Finite element method for radiation heat transfer in multi-dimensional graded index medium. J Quant Spectrosc Ra, 2006, 97: 436-445.
30. Li B W, Sun Y S, Zhang D W. Chebyshev collocation spectral methods for coupled radiation and conduction in a concentric spherical participating medium. J Heat Trans-T ASME, 2009, 131: 062701.
31. Li B W, Sun Y S, Yu Y. Iterative and direct Chebyshev collocation spectral methods for one-dimensional radiative heat transfer. Int J Heat Mass Transfer, 2008, 51: 5887-5894.
32. Sun Y S, Li B W. Chebyshev collocation spectral method for onedimensional radiative heat transfer in graded index media. Int J Therm Sci, 2009, 48: 691-698.
33. Zhao J M, Liu L H. Least-squares spectral element method for radiative heat transfer in semitransparent media. Numer Heat Tr B-Fund, 2006, 50: 473-489.
34. Zhao J M, Liu L H. Spectral element approach for coupled radiative and conductive heat transfer in semitransparent medium. J Heat Trans-T ASME, 2007, 129: 1417-1424.
35. Zhao J M, Liu L H. Spectral element method with adaptive artificial diffusion for solving radiative transfer equation. Numer Heat Tr B-Fund, 2008, 53: 536-554.
36. Zhao J M, Liu L H. Solution of radiative heat transfer in graded index media by least square spectral element method. Int J Heat Mass Tran, 2007, 50: 2634-2642.
37. Cui X, Li B Q. Discontinuous finite element solution of 2-D radiative transfer with and without axisymmetry. J Quant Spectrosc Ra, 2005, 96: 383-407.
38. Cui X, Li B Q. A discontinuous finite-element formulation for internal radiation problems. Numer Heat Tr B-Fund, 2004, 46: 223-242.
39. Liu L H, Liu L J. Discontinuous finite element method for radiative heat transfer in semitransparent graded index medium. J Quant Spectrosc Ra, 2007, 105: 377-387.
40. Zhao J M, Liu L H. Discontinuous spectral element method for solving radiative heat transfer in multidimensional semitransparent media. J Quant Spectrosc Ra, 2007, 107: 1-16.
41. Liu L H, Liu L J. Discontinuous finite element approach for transient radiative transfer equation. J Heat Trans-T ASME, 2007, 129: 1069-1074.
42. Liu L H, Hsu P F. Analysis of transient radiative transfer in semitransparent graded index medium. J Quant Spectrosc Ra, 2007, 105: 357-376.
43. Liu L H, Hsu P F. Time shift and superposition method for solving transient radiative transfer equation. J Quant Spectrosc Ra, 2008, 109: 1297-1308.
44. Zhao J M, Liu L H. Discontinuous spectral element approach for solving transient radiative transfer equations. J Thermophys Heat Tr, 2008, 22: 20-28.
45. Liu G R. Mesh Free Methods. Boca Raton: CRC Press, 2003.
46. Zhang X, Liu Y. Meshless Method (in Chinese). Beijing: Science Press, 2004.
47. Liu G R, Gu Y T. An Introduction to Meshfree Methods and Their Programming. New York: Springer, 2005.
48. Liu L H. Meshless local Petrov-Galerkin method for solving radiative transfer equation. J Thermophys Heat Tr, 2006, 20: 150-154.
49. Liu L H. Meshless method for radiative heat transfer in graded index medium. Int J Heat Mass Transfer, 2006, 49: 219-229.
50. Liu L H, Tan J Y. Meshless approach for coupled radiative and conductive heat transfer in one-dimensional graded index medium. J Quant Spectrosc Ra, 2006, 101: 237-248.
51. Liu L H, Tan J Y. Least-squares collocation meshless approach for radiative heat transfer in absorbing and scattering media. J Quant Spectrosc Ra, 2007, 103: 536-544.
52. Tan J Y, Liu L H, Li B X. Least-squares collocation meshless approach for coupled Radiative and conductive heat transfer. Numer Heat Tr B-Fund, 2006, 49: 179-195.
53. Tan J Y, Liu L H, Li B X. Least-squares radial point interpolation collocation meshless approach for radiative transfer. J Heat Trans-T ASME, 2007, 129: 669-673.
54. Liu L H, Tan J Y. Meshless local Petrov-Galerkin approach for coupled radiative and conductive heat transfer. Int J Therm Sci, 2007, 46: 672-681.
55. Born M, Wolf E. Principles of Optics. Cambridge: Cambridge University Press, 1999.
56. Qiao Y T. Graded Index Optics. Beijing: Science Press, 1991.
57. Liu L H, Tan H P. Numerical Simulation of Thermal Radiative Transfer in Graded Index Medium (in Chinese). Beijing: Science Press, 2006.
58. Ben A P, Le Dez V. Thermal field inside an absorbing-emitting semitransparent slab at radiative equilibrium with variable spatial refractive index. J Quant Spectrosc Ra, 2000, 65: 595-608.
59. Ben A P, Le Dez V. Thermal emission of a semitransparent slab with variable spatial refractive index. J Quant Spectrosc Ra, 2000, 67: 185-198.
60. Huang Y, Xia X L, Tan H P. Radiative intensity solution and thermal emission analysis of a semitransparent medium layer with a sinusoidal refractive index. J Quant Spectrosc Ra, 2002, 74: 217-233.
61. Huang Y, Xia X L, Tan H P. Temperature field of radiative equilibrium in a semitransparent slab with a linear refractive index and gray walls. J Quant Spectrosc Ra, 2002, 74: 249-261.
62. Xia X L, Huang Y, Tan H P. Thermal emission and volumetric absorption of a graded index semitransparent medium layer. J Quant Spectrosc Ra, 2002, 74: 235-248.
63. Liu L H. Discrete curved ray-tracing method for Radiative transfer in an absorbing-emitting semitransparent slab with variable spatial refractive index. J Quant Spectrosc Ra, 2004, 83: 223-228.
64. Liu L H, Zhang H C, Tan H P. Monte Carlo discrete curved ray-tracing method for radiative transfer in an absorbing-emitting semitransparent slab with variable spatial refractive index. J Quant Spectrosc Ra, 2004, 84: 357-362.
65. Liu L H, Tan H P. Transient temperature response in semitransparent variable refractive index medium subjected to a pulse irradiation. J Quant Spectrosc Ra, 2004, 83: 333-344.
66. Liu L H. Finite volume method for radiation heat transfer in graded index medium. J Thermophys Heat Tr, 2006, 20: 59-66.
67. Liu L H, Xu X, Chen Y L, et al. Fluctuating characteristics of radiative source term in hydrogen turbulent jet diffusion flame. J Quant Spectrosc Ra, 2004, 87: 193-201.
68. Liu L H, Xu X, Chen Y L. On the shape of presumed probability density function for the modeling of turbulence radiation interaction. J Quant Spectrosc Ra, 2004, 87: 311-323.
69. Liu L H, Li B X. Inverse radiation problem of axisymmetric turbulent sooting free flame. J Quant Spectrosc Ra, 2002, 75: 481-491.
70. Liu L H, Man G L. Reconstruction of time-averaged temperature of non-axisymmetric turbulent unconfined sooting flame by inverse radiation analysis. J Quant Spectrosc Ra, 2003, 78: 139-149.
71. Liu L H, Tan H P, Yu Q Z. Simultaneous identification of temperature profile and wall emissivities in one-dimensional semitransparent medium by inverse radiation analysis. Numer Heat Tr A-Appl, 1999, 36: 511-525.
72. Liu L H, Tan H P, Yu Q Z. Inverse radiation problem of sources and emissivities in one-dimensional semitransparent media. Int J Heat Mass Transfer, 2001, 44: 63-72.
73. Liu L H, Tan H P, Yu Q Z. Inverse radiation problem of temperature field in three-dimensional rectangular furnaces. Int Commun Heat Mass, 1999, 26: 239-248.
74. Liu L H, Tan H P. Inverse radiation problem in three dimensional complicated geometric systems with opaque boundaries. J Quant Spectrosc Ra, 2001, 68: 559-573.
75. Wang F, Liu D, Cen K F, et al. Efficient inverse radiation analysis of temperature distribution in participating medium based on backward Monte Carlo method. J Quant Spectrosc Ra, 2008, 109: 2171-2181.
76. Liu L H, Zhao L, Li B X. A concept of equivalent absorption and emission coefficients for gray analysis of radiative heat transfer. J Quant Spectrosc Ra, 2005, 90: 253-258.
77. An W, Ruan L M, Qi H, et al. Finite element method for radiative heat transfer in absorbing and anisotropic scattering media. J Quant Spectrosc Ra, 2005, 96: 409-422.
78. An W, Ruan L M, Tan H P, et al. Finite element simulation for short pulse light radiative transfer in homogeneous and non-homogeneous media. J Heat Trans-T ASME, 2007, 129: 352-362.
79. Ruan L M, An W, Tan H P, et al. Least-squares finite element method for multidimensional radiative heat transfer. Numer Heat Tr A-Appl, 2007, 51: 657-677.
80. An W, Ruan L M, Qi H. Inverse radiation problem in one-dimensional slab by time-resolved reflected and transmitted signals. J Quant Spectrosc Ra, 2007, 105: 221-235.
81. Liu L H, Li B X, Tan H P. Genetic Algorithm for inverse radiative problem in one-dimensional semitransparent medium (in Chinese). J Northeastern Univ, 2001, 22(S2): 198-201.
82. Qi H, Ruan L M, Zhang H C, et al. Inverse radiation analysis in a one-dimensional participating slab by the stochastic particle swarm optimizer algorithm. Int J Therm Sci, 2007, 46: 649-661.
83. Qi H, Ruan L M, Shi M, et al. Application of multi-phase particle swarm optimization technique to inverse radiation problem. J Quant Spectrosc Ra, 2008, 109: 476-490.
84. Qi H, Ruan L M, Wang S G, et al. Application of multi-phase particle swarm optimization technique to retrieve the particle size distribution. Chin Opt Lett, 2008, 6: 346-349.
85. Zhou H C, Yuan P, Sheng F, et al. 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 Transfer, 2000, 43: 4361-4364.
86. Zhou H C, Hou Y B, Chen D L, et al. An inverse radiative transfer problem of simultaneously estimating profiles of temperature and radiative parameters from boundary intensity and temperature measurements. J Quant Spectrosc Ra, 2002, 74: 605-620.
87. Zhou H C, Han S D, Lou C, et al. A new model of radiative image formation used in visualization of 3-D temperature distributions in large-scale furnaces. Numer Heat Tr B-Fund, 2002, 42: 243-258.
88. Zhou H C, Han S D, Sheng F, et al. Visualization of three-dimensional temperature distributions in a large-scale furnace via regularized reconstruction from radiative energy images: numerical studies. J Quant Spectrosc Ra, 2002, 72: 361-383.
89. Lou C, Zhou H C. Assessment of regularization reconstruction of three-dimensional temperature distributions in large-scale furnaces. Numer Heat Tr B-Fund, 2008, 53: 555-567.
90. Lou C, Zhou H C, Yu P F, et al. Measurements of the flame emissivity and radiative properties of particulate medium in pulverized-coalfired boiler furnaces by image processing of visible radiation. Proceedings of the Combustion Institute, 2007, 31: 2771-2778.
91. Lou C, Zhou H C. Decoupled reconstruction method for simultaneous estimation of temperatures and radiative properties in a 1-D, gray, participating medium. Numer Heat Tr B-Fund, 2007, 51: 275-292.
92. Daun K J, Howell J R. Inverse design methods for radiative transfer systems. J Quant Spectrosc Ra, 2005, 93: 43-60.
93. Daun K J, Morton D P, Howell J R. Geometric optimization of radiant enclosures containing specular surfaces. J Heat Trans-T ASME, 2003, 125: 845-851.
94. Tan J Y, Liu L H. Inverse geometry design of radiating enclosure filled with participating media using meshless method. Numer Heat Tr A-Appl, 2009, 56: 132-152.