Thermal radiation in a discretely heated irregular geometry using the monte-carlo, finite volume, and modified discrete ordinates interpolation method

This article presents a comparison of results obtained by the Monte-Carlo, finite volume, and modified discrete ordinates interpolation method for an absorbing, emitting, and isotropically scattering medium that is surrounded by discretely heated irregular surfaces. The medium is maintained at an isothermal condition or in radiative equilibrium. While the results of the Monte-Carlo method present the benchmark solutions within a statistical limit, the comparative results by the other methods provide a relative accuracy in the given geometry. In particular, the ray effects stemming from a discrete set of angular discretization for flux methods are found to be pronounced in the case of localized heating.