COMPARISON OF THE DISCRETE TRANSFER AND MONTE CARLO METHODS FOR RADIATIVE HEAT TRANSFER IN THREE-DIMENSIONAL NONHOMOGENEOUS SCATTERING MEDIA

J. C. Henson, W. M. G. Malalasekera
1997 Numerical Heat Transfer, Part A Applications  
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
more » ... iation 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. NOMENCLATURE area of subsurface i, m 2 A i E g gas blackbody emissive power, W/m 2 E s surface blackbody emissive power, W/m 2 incident radiation, W/m 2 G G G i j volume-to-volume total exchange area, m 2 G S i j volume-to-surface total exchange area, m 2 I intensity of radiation, W/m 2 sr Henson, Greek Symbols  extinction coefficient, 1/m  emissivity  absorption coefficient, 1/m    , , coordinates in local mapping coordinate system  ij reception factor between two elements i and j  scattering coefficient, 1/m  n bilinear shape functions  single scattering albedo solid angle, sr 
doi:10.1080/10407789708913877 fatcat:zagyo352yzf73bipijoeh5rxb4