Comparison of the Discrete Transfer and Monte Carlo Methods for Radiative Heat Transfer in Three-Dimensional Nonhomogeneous Scattering Media

Abstract

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. Henson,

Modeling of the conjugate radiation and conduction problem in a 3D complex multi-burner furnace

“…Among the few earlier works on radiation problems with inhomogeneous participating media, Henson et al [6] studied a comparison of the Monte Carlo and the discrete transfer method in 3-D inhomogeneous scattering media. Guo et al [7] developed the REM 2 method to investigate radiative heat transfer in inhomogeneous, non-gray and anisotropically scattering media.…”

Transient Radiative Transfer in a Graded Index Medium with Specularly Reflecting Surfaces

“…At present, the Monte Carlo (MC) method is an adaptable method that has been applied to many problems [22][23][24][25]. It is very suitable for solving the TRT as conversions between space and time are easy to achieve in MC simulation.…”

Particle-Tracking Random-Walk Computation of High-Peclet-Number Convection

“…This approach has been adapted to fluid mechanics and heat transfer in many ways to include problems of diffusion [2][3][4][5][6][7][8][9][10][11][12], convection-diffusion [13][14][15][16][17][18], and radiation [19][20][21][22][23][24][25][26][27][28][29]. Special applications include porous media [30,31], bioheat transfer [32], fractal boundaries [33], multiphase flows [34][35][36][37][38], combustion [39][40][41], and low-Knudsen-number flows [42,43] but excellent review of heat transfer applications of these methods is given in [44].…”