This notes presents some recent results regarding the approximation of the linear radiative transfer equation using discontinuous Galerkin methods. The locking effect occurring in the diffusion limit with the upwind numerical flux is investigated and a correction technique is proposed.

We present an asymptotic preserving method for the radiative transfer equations in framework of $$P_N$$ method. An implicit and explicit numerical scheme is proposed to solve system based on order analysis expansion coefficients specific intensity, where each coefficient derived by Chapman-Enskog The at higher-order are treated explicitly while those lower-order implicitly equation system. Ener...

[1] Several recent publications have indicated that cloud droplets belonging to a particular size range may tend to cluster by forming small random particle groups imbedded in an otherwise uniform cloud. To analyze radiative transfer in clouds with such small-scale inhomogeneities, we invoke the concepts of statistical electromagnetics. We show that as long as the assumptions of ergodicity and ...

A new algorithm for modeling radiative transfer in inhomogeneous three-dimensional media is described. The spherical harmonics discrete ordinate method uses a spherical harmonic angular representation to reduce memory use and time computing the source function. The radiative transfer equation is integrated along discrete ordinates through a spatial grid to model the streaming of radiation. An a...