Prediction of radiative heat transfer between two concentric spherical enclosures with the finite volume method

Performance evaluation of four radiative transfer methods in solving multi-dimensional radiation and/or conduction heat transfer problems

“…With the development of more versatile methods, some of the old methods such as the zonal method [13], the diffusion approximation [13] and the spherical harmonics method [13] are now-a-days receiving less attention. Among the available methods, the Monte Carlo method (MCM) [14,15], the discrete transfer method (DTM) [16][17][18][19], the discrete ordinates method (DOM) [20][21][22][23][24] and the finite volume method (FVM) [25][26][27][28][29] enjoy more popularity. Among them, the FVM is the latest in the series and this method is considered to be a forerunner of the DOM which has been and is still widely used by a large group of researchers [13].…”

A Lattice Boltzmann Formulation for the Analysis of Radiative Heat Transfer Problems in a Participating Medium

“…The available numerical radiative transfer methods such as the flux method [10,11], the zonal method [10,11], the spherical harmonics method [10,11], the discrete ordinates method (DOM) [12,13], the discrete transfer method (DTM) [14][15][16], the collapsed dimension method [17] and the finite volume method (FVM) [18][19][20], in some form or the other, aim at minimizing the angular dependency of radiation in their formulations. Since the angular dependency can not be fully eliminated, a method which is less prone to ray effect and is compatible to other CFD solvers such as the finite difference method (FDM) and the FVM for solving the combined mode problems in simple to complex geometry are the most desirable ones.…”

“…Since the angular dependency can not be fully eliminated, a method which is less prone to ray effect and is compatible to other CFD solvers such as the finite difference method (FDM) and the FVM for solving the combined mode problems in simple to complex geometry are the most desirable ones. Among the existing numerical radiative transfer methods, the FVM [18][19][20] is the most robust one. This is not only for the reason that the development of the FVM is the latest in the series, but for the very reason that it adopts the same principles of the FVM that have been widely used in the analysis of fluid flow and heat transfer problems.…”

“…Recently, Mishra and co-workers [6,20,[29][30][31][32] have extended the application of the LBM to formulate and solve energy equations of heat transfer problems involving thermal radiation. However, in such problems, the volumetric thermal radiation was always computed using the conventional numerical radiative transfer methods such as the DOM [12,13], the DTM [14][15][16], the collapsed dimension method [17] and the FVM [18][19][20].…”

“…However, in none of the previous studies, the computation of radiative information, which is the main time consuming component, has been computed using the LBM, and thus, the usage of the LBM for the analysis of radiative transport problems has not been investigated before. Further, in the combined mode problems studied in references [6,20,[29][30][31][32], the computational grids of the conventional radiation solvers such as the DTM [14][15][16], the DOM [12,13], the FVM [18][19][20], etc., have always been different from the lattices of the LBM. Thus, the radiative information computed using these methods required to be interpolated to the lattice nodes that required an additional computational step.…”