Radiative heat transfer in discretely heated irregular geometry with an absorbing, emitting, and anisotropically scattering medium using combined Monte-Carlo and finite volume method

The ray effects of the finite volume method (FVM) or discrete ordinates method (DOM) are known to show the non-physical oscillations usually observed in the solution of radiative heat transfer on a boundary. This wiggling behavior is caused by the finite discretization of the continuous control angle. This article proposes a combined procedure of the Monte-Carlo and finite-volume method (CMCFVM) for solving radiative heat transfer in absorbing, emitting, and an-isotropically scattering medium to eliminate the wiggling behavior. To tackle the ray effect problem, which is especially pronounced in a medium with an isolated boundary heat source, the CMCFVM is suggested here and successfully applied to a two-dimensional irregular geometry.