Abstract
A polynomial nodal model which uses Legendre expansions was developed for the multigroup diffusion equation in 2-D. The development depends upon a least-squares minimization of the trial functions over a 2-D node. Analytical expressions were developed for the polynomial coefficients. Diffusion theory interface and boundary conditions have been applied as averaged conditions over one half node. Sample problem results were compared to the IAEA LWR benchmark problem and a five-group IAEA benchmark problem for a research reactor. The results compared favorably.
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