On the finite volume method and the discrete ordinates method regarding radiative heat transfer in acute forward anisotropic scattering media

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 104, Issue 3, 2007, Pages 460-473

  Boulet, P ^a   Collin, A ^a   Consalvi, J L ^b  

^a NANCY UNIVERSITÉ   (France)

^b AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

Anisotropic scattering; DOM; FVM; Radiative transfer; Renormalization

Indexed keywords

ANISOTROPY; APPROXIMATION THEORY; COMPUTER SIMULATION; FINITE VOLUME METHOD; MONTE CARLO METHODS; SCATTERING;

ANISOTROPIC SCATTERING; DISCRETE ORDINATES METHOD; OPTICAL THICKNESS; PHASE FUNCTION;

HEAT RADIATION;

ANISOTROPY; DISCRETE ELEMENT METHOD; FINITE VOLUME METHOD; HEAT TRANSFER; MONTE CARLO ANALYSIS; RADIATIVE TRANSFER; SCATTERING;

EID: 33846370570     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2006.09.010     Document Type: Article

References (24)

1. Kim T.K., and Lee H.S. Effect of anisotropic scattering on radiative heat transfer in two-dimensional rectangular enclosures. Int J Heat Mass Transfer 31 (1988) 1711-1721
2. Wiscombe W.J. On initialization error and flux conservation in the doubling method. JQSRT 18 (1976) 637-658
3. Carlson B.G., and Lathrop K.D. Transport theory-the method of discrete ordinates. Computing methods in reactors physics (1968), Gordon and Breach, New York [chapter 3]
4. Raithby G.D., and Chui E.H. A finite volume method for predicting radiant heat transfer in enclosures with participating media. J Heat Transfer 114 (1990) 415-423
5. Chai JC. A finite-volume method for radiant heat transfer. PhD thesis, University of Minesota, 1994.
6. Jamaluddin A.S., and Smith P.J. Predicting radiative transfer in axisymmetric cylindrical enclosures using the discrete ordinates method. Combust Sci Technol 62 (1988) 173-186
7. Jones P.D., and Bayazitoglu Y. Coordinate systems for the radiative transfer equation in curvilinear media. JQSRT 48 (1992) 427-440
8. Vaillon R., Lallemand M., and Lemonnier D. Radiative heat transfer in orthogonal curvilinear coordinates using the discrete ordinates method. JQSRT 55 (1996) 7-17
9. Chui E.H., Raithby G.D., and Hughes P.M.J. Prediction of radiative heat transfer in enclosures by the finite volume method. J Thermophys Heat Transfer 6 (1992) 605-611
10. Chai JC, Lee HS, Patankar SV. A finite-volume radiation heat transfer procedure for irregular geometries. In: AIAA/ASME sixth joint thermophysics and heat transfer conference, Colorado Springs, 1994. AIAA Paper No. 94-2095.
11. Chui E.H., and Raithby G.D. Computation of radiant heat transfer on a nonorthogonal mesh using the finite volume method. Numer Heat Transfer Part B 23 (1993) 269-288
12. Kim M.Y., Wook S.W., and Park J.H. Unstructured finite-volume method for radiative heat transfer in a complex two-dimensional geometry with obstacles. Numer Heat Transfer Part B 39 (2001) 617-635
13. Murthy J.Y., and Mathur S.R. Finite volume method for radiative heat transfer using unstructured meshes. J Thermophys Heat Transfer 12 (1998) 313-321
14. Chai J.C., Lee H.S., and Patankar S.V. Finite volume method for radiation heat transfer. J Thermophys Heat Transfer 8 3 (1994) 419-425
15. Kim T.K., and Lee H.S. Radiative transfer in two-dimensional anisotropic scattering media with collimated incidence. JQSRT 42 3 (1989) 225-238
16. Kim S.H., and Huh K.Y. A new discretization scheme of the finite volume method for 3D radiative heat transfer in absorbing, emitting and anisotropic scattering media. Int J Heat Mass Transfer 43 (2000) 1233-1242
17. Chai J.C., Lee H.S., and Patankar S.V. Ray effect and false scattering in the discrete ordinates method. Numer Heat Transfer Part B 24 (1993) 373-389
18. Chai J.C., Lee H.S., and Patankar S.V. Improved treatment of scattering using the discrete ordinates method. J Thermophys Heat Transfer 116 (1994) 260-263
19. El Wakil N., and Sacadura J.F. Some improvements of the discrete ordinates method for the solution of the radiative transport equation in multidimensional anisotropically scattering. Developments in radiative heat transfer (1992), HTD, New York, NY, United States 119-127
20. Modest M.F. Radiative heat transfer (1993), McGraw-Hill, New York
21. Siegel R., and Howell J.R. Thermal radiation heat transfer. 3rd ed. (1992), Taylor and Francis, London
22. Wong B.T., and Mengüç M.P. Comparison of Monte Carlo techniques to predict the propagation of a collimated beam in participating media. Numer Heat Transfer Part B 42 (2002) 119-140
23. Vaillon R., Wong B.T., and Mengüç M.P. Polarized radiative transfer in a particle-laden semi-transparent medium via a vector Monte Carlo method. JQSRT 84 (2004) 383-394
24. Balsara D. Fast and accurate discrete ordinate methods for multidimensional radiative transfer. Part I, basic methods. JQSRT 69 (2001) 671-707