A modified version of the discrete ordinates method for radiative heat transfer modelling

Computational Mechanics

Volumn 33, Issue 5, 2004, Pages 375-388

  Coelho, P J ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

Discrete Ordinates Method; False Scattering; Radiative Heat Transfer; Ray Effects

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL METHODS; LIGHT ABSORPTION; LIGHT SCATTERING; PROBABILITY; RADIATION EFFECTS; VECTORS;

DISCRETE ORDINATES METHOD; FALSE SCATTERING; RADIATIVE HEAT TRANSFER; RAY EFFECTS;

HEAT TRANSFER;

EID: 3042704283     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-003-0539-8     Document Type: Article

References (32)

1. Chandrasekar S (1960) Radiative Transfer, Dover Publications, New York
2. Carlson BG, Lathrop KD (1968) Transport theory - The method of discrete-ordinates. In: Greespan H, Kelber CN, Okrent D (eds) Computing Methods in Reactor Physics, Gordon & Breach, New York
3. Fiveland WA (1984) Discrete-ordinates solution of the radiative transport equation for rectangular enclosures. ASME J. Heat Transf. 106: 699-706
4. Raithby GD, Chui EH (1990) A finite-volume method for predicting a radiant heat transfer in enclosures with participating media. ASME J. Heat Transf. 112: 415-423
5. Chai JC, Lee HS, Patankar SV (1994) Finite volume method for radiation heat transfer. J. Thermophy. Heat Transf. 8: 419-425
6. Chai JC, Lee HS, Patankar SV (1993) Ray effect and false scattering in the discrete ordinates method. Numer. Heat Transf. Part B: Fundamentals 24: 373-389
7. Chai JC, Patankar SV, Lee HS (1994) Evaluation of spatial differencing practices for the discrete-ordinates method. J. Thermophy Heat Transf. 8: 140-144
8. Chai JC, Lee HS, Patankar SV (1994) Improved treatment of scattering using the discrete ordinates method. ASME J. Heat Transf. 116: 260-263
9. El Wakil N, Sacadura JF (1992) Some improvements of the discrete ordinates method for the solution of the radiative transport equation in multidimensional anisotropically scattering media. ASME HTD 103: 119-127
10. Cheong KB, Song TH (1997) An alternative discrete ordinates method with interpolation and source differencing for two-dimensional radiative transfer problems. Numer Heat Transf. Part B: Fundamentals 32: 107-125
11. Seo SH, Kim TK (1998) Study on interpolation schemes of the discrete ordinates interpolation method for three-dimensional radiative transfer with nonortoghonal grids. ASME J. Heat Transf. 120: 1091-1094
12. Liu F, Becker HA, Pollard A (1996) Spatial differencing schemes of the discrete-ordinates method. Numer Heat Transf. Part B: Fundamentals 30: 23-43
13. Jessee JP, Fiveland WA (1997) Bounded, high-resolution differencing schemes applied lo the discrete ordinates method. J. Thermophys Heat Transf. 11: 540-548
14. Van Leer B (1974) Towards the ultimate conservation difference scheme. II monoticity and conservation combined in a second-order scheme, J, Comput. Physics 14: 361-370
15. Fiveland WA (1991) The selection of discrete ordinate quadrature sets for anisotropic scattering. ASME HTD 160: 89-96
16. Koch R, Krebs W, Wittig S, Viskanta R (1995) Discrete ordinates quadrature schemes for multidimensional radiative transfer. J. Quant. Spectro. Radiative Transf. 53: 353-372
17. N quadrature set for the discrete ordinates method. ASME J. Heat Transf. 117: 1068-1070
18. Li BW, Yao Q, Cao XY, Cen KF (1998) A new discrete ordinates quadrature scheme for three-dimensional radiative heat transfer. ASME J. Heat Transf. 120: 514-518
19. Kim SH, Huh KY (2000) A new angular discretization scheme of the finite volume method for 3-D radiative heat transfer in absorbing, emitting and anistropically scattering media. Int. J. Heat Mass Transf. 43: 1233-1242
20. Ramankutty MA, Crosbie AL (1997) Modified discrete ordinates solution of radiative transfer in two-dimensional rectangular enclosures. J. Quantit Spectros Radiative Transf. 57: 107-140
21. Olfe DB (1970) Radiative equilibrium of a gray medium bounded by nonisothermal walls. Progress in Astronautics and Aeronautics 23: 295-317
22. Modest MF (1989) The modified differential approximation for radiative transfer in three-dimensional media. J. Thermophys Heat Transf. 3: 283-288
23. Ramankutty MA, Crosbie AL (1998) Modified discrete ordinates solution of radiative transfer in three-dimensional rectangular enclosures. J. Quantit Spectros Radiative Transf 60: 103-134
24. Sakami M, Charette A (2000) Application of a modified discrete ordinates method to two-dimensional enclosures of irregular geometry. J. Quant Spectres Radiative Transf. 64: 275-298
25. Baek SW, Byun DY, Rang SJ (2000) The combined Monte-Carlo and finite-volume method for radiation in a two-dimensional irregular geometry. Int. J. Heat and Mass Transf. 43: 2337-2344
26. Raithby GD (1999) Evaluation of discretization errors in finite-volume radiant heat transfer predictions. Numer Heat Transf. Part B: Fundamentals 36: 241-264
27. Modest MI (1993) Radiative Heat Transfer, McGraw-Hill, New York
28. Khosla PK, Rubin SG (1974) A diagonally dominant second order accurate implicit scheme. Comput. Fluids 2: 207-209
29. Crosbie AL, Schrenker RG (1984) Radiative transfer in a two-dimensional rectangular medium exposed to diffuse radiation. J. Quantit Spectros Radiative Transf. 31: 339-372
30. Kim TK, Lee HS (1990) Scaled isotropic results for two-dimensional anisotropic scattering media. ASME J. Heat Transf. 112: 721-727
31. Kim TK, Lee HS (1990) Modified δ-M scaling results for Mie-anisotropic scattering media. ASME J. Heat Transf. 112: 988-994
32. NAG Fortran Library (2003) Numerical Algorithms Group. 256 Banbury Road, Oxford OX27DE, UK