Abstract
Here we investigate the asymptotic diffusion limit on the interior of a transport domain for the case of steady-state 1-D slab geometry with fully anisotropic scattering and distributed sources. By this we mean that the scattering and distributed sources are described by a Legendre expansion of infinite degree. It is found that the asymptotic equation for the scalar flux obtained through first order is identical to that obtained with P1 scattering and distributed sources. However, the leading-order equation differs from that obtained via the traditional Galerkin method assuming a P1 angular flux dependence and P1 scattering and distributed source expansions. In particular, the first moment of the distributed source does not appear in the leading-order equation for the scalar flux as it does in the Galerkin equations for the scalar flux.
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