“…A number of researchers have addressed analytical solutions derived from extensive measurements and validations. 12,[25][26][27] With the significant progress in computational tools over the last decades, numerical methods have been developed for the prediction of the radiative properties of porous media. Many numerical simulations have been performed for spherical packed bed porous media by using different methods, alone or combined, 28 such as Monte Carlo ray-tracing (MCRT), 29,30 the radiative distribution function identification (RDFI), 31 discrete ordinate, 32 two-flux methods, 24 Finite Volume Method (FVM), 33,34 Finite Element Method (FEM), 35 the Mie theory and the discrete dipole approximation (DDA) 36 etc.…”