Application of the modified discrete ordinates method with the concept of blocked-off region to irregular geometries

Carlson, 1968, Transport theory – the method of discrete-ordinates Fiveland, 1984, Discrete-ordinates solution of the radiative transport equation for rectangular enclosures, J. Heat Transfer, 106, 699, 10.1115/1.3246741 Coelho, 2002, The role of ray effects and false scattering on the accuracy of the standard and modified discrete ordinates methods, J. Quant. Spectrosc. Radiat. Transfer, 73, 231, 10.1016/S0022-4073(01)00202-3 Chai, 1993, Ray effect and false scattering in the discrete ordinates method, Numer. Heat Transfer B, 24, 373, 10.1080/10407799308955899 Coelho, 2002, Bounded skew high-order resolution schemes for the discrete ordinates method, J. Comput. Phys., 175, 412, 10.1006/jcph.2001.6899 Sakami, 2001, Analysis of radiative heat transfer in complex two-dimensional enclosures with obstacles using the modified discrete ordinates method, J. Heat Transfer, 123, 892, 10.1115/1.1375812 Thurgood, 1995, The TN quadrature set for the discrete ordinates method, J. Heat Transfer, 117, 1068, 10.1115/1.2836285 Koch, 1995, Discrete ordinates quadrature schemes for multidimensional radiative transfer, J. Quant. Spectrosc. Radiat. Transfer, 53, 353, 10.1016/0022-4073(95)90012-8 Ramankutty, 1997, Modified discrete ordinates method of radiative transfer in two-dimensional rectangular enclosures, J. Quant. Spectrosc. Radiat. Transfer, 57, 107, 10.1016/S0022-4073(96)00090-8 Ramankutty, 1998, Modified discrete-ordinates solution of radiative transfer in three-dimensional rectangular enclosures, J. Quant. Spectrosc. Radiat. Transfer, 60, 103 Sakami, 2000, Application of a modified discrete ordinates method to two-dimensional enclosures of irregular geometry, J. Quant. Spectrosc. Radiat. Transfer, 64, 275, 10.1016/S0022-4073(99)00100-4 Baek, 2000, The combined Monte Carlo and finite-volume method for radiation in a two-dimensional irregular geometry, Int. J. Heat Mass Transfer, 43, 2337, 10.1016/S0017-9310(99)00288-4 Chui, 1993, Computation of radiant heat transfer on a nonorthogonal mesh using the finite-volume method, Numer. Heat Transfer B, 23, 269, 10.1080/10407799308914901 Liu, 1997, Prediction of radiative transfer in general body-fitted coordinates, Numer. Heat Transfer B, 31, 423, 10.1080/10407799708915118 Meng, 1993, Radiative heat transfer by the discrete transfer method using an unstructured mesh, ASME HTD, 244, 55 Byun, 2000, Thermal radiation in discretely heated irregular geometry using Monte-Carlo, finite-volume, and modified discrete-ordinate interpolation method, Numer. Heat Transfer A, 37, 1, 10.1080/104077800274389 Kim, 2001, Unstructured finite-volume method for radiation heat transfer in a complex two-dimensional geometry with obstacles, Numer. Heat Transfer B, 39, 617, 10.1080/10407790152034854 Byun, 2003, Investigation of radiative heat transfer in complex geometries using blocked-off, multiblock and embedded boundary treatments, Numer. Heat Transfer A, 43, 807, 10.1080/713838148 Chai, 1993, Treatment of irregular geometries using a Cartesian-coordinates-based discrete-ordinates method, Radiat. Heat Transfer Theory Appl., ASME, 244, 49 Chai, 1994, Treatment of irregular geometries using a Cartesian coordinates finite-volume radiation heat transfer procedure, Numer. Heat Transfer B, 26, 225, 10.1080/10407799408914927 Talukdar, 2006, Discrete transfer method with the concept of blocked-off region for irregular geometries, J. Quant. Spectrosc. Radiat. Transfer, 98, 238, 10.1016/j.jqsrt.2005.05.087 Talukdar, 2006, Radiative heat transfer for irregular geometries with the collapsed dimension method, Int. J. Thermal Sci., 45, 103, 10.1016/j.ijthermalsci.2005.06.006 Modest, 2003 Kim, 1988, Effect of anisotropic scattering on radiative heat transfer in two-dimensional rectangular enclosures, Int. J. Heat Mass Transfer, 31, 1711, 10.1016/0017-9310(88)90283-9 Amiri, 2010, Combined conductive and radiative heat transfer in an anisotropic scattering participating medium with irregular geometries, Int. J. Thermal Sci., 49, 492, 10.1016/j.ijthermalsci.2009.10.005 Parthasarathy, 1995, Monte Carlo solutions for radiative heat transfer in irregular two-dimensional geometries, J. Heat Transfer, 117, 792, 10.1115/1.2822653 Coelho, 1998, Modelling of radiative heat transfer in enclosures with obstacles, Int. J. Heat Mass Transfer, 41, 745, 10.1016/S0017-9310(97)00158-0