Comparison of discrete transfer and Monte-Carlo methods for radiative heat transfer in three-dimensional non-homogeneous scattering media

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.