HENSON, J.C. and MALALASEKERA, W., 1997. Comparison of discrete transfer and Monte-Carlo methods for radiative heat transfer in three-dimensional non-homogeneous scattering media. Numerical Heat Transfer, Part A: Applications, 32 (1), pp. 19 - 36
Modified formulations of the discrete transfer and Monte Carlo methods are presented for the prediction of radiative heat transfer in three-dimensional nonhomogeneous participating media. Numerical solutions found with both algorithms are in good agreement with published benchmark results, which used contemporary methods to determine the radiative transport in a unit cube. New solutions in an arbitrary L-shaped geometry using a nonorthogonal body-fitted mesh are also presented. The average deviation between the two methods is less than 1.2% for both the boundary surface flux and the divergence of radiative flux or gas emissive power within the enclosed, isotropically scattering media.