Although a simple analytic solution in 2 or 3 dimensions to the diffus
ion equation for a uniform reflected reactor does not exist, a particu
lar analytic solution is illustrated which requires a non-uniform refl
ector. Diffusion codes can model such a reactor, and can be compared w
ith the analytic solution, as is shown using the code CITATION. This c
onstitutes a new method of benchmarking such codes in 2 or 3 dimension
s. (C) 1998 Elsevier Science Ltd.