Flux-Limited Diffusion Theory with Anisotropic Scattering

The Chapman-Enskog procedure of kinetic theory is used to obtain a flux-limited diffusion theory for linear transport problems. The analysis is carried out within the context of multigroup theory, with an arbitrary scattering matrix involving anisotropic effects for both within-group and group-to group scattering. Aside from the question of flux limiting, a new definition of the transport cross section arises naturally from the analysis.