Diffusion-accelerated solution of the 2-D S(sub n) equations with bilinear-discontinuous differencing

摘要

A new diffusion-synthetic acceleration scheme is developed for solving the 2-D S(sub n) equations in X-Y geometry with bilinear- discontinuous finite-element spatial discretization. This method differs from previous methods in that it is unconditionally efficient fore problems with isotropic or weakly anisotropic scattering. Computational results are given which demonstrate this property.