The simplified P[sub 2] correction to the multidimensional diffusion equation
D. Tomasevic, E.W. Larsen · Transactions of the American Nuclear Society · 1992
For odd N, the simplified P[sub N] (SP[sub N]) equations constitute a coupled system of (N + 1)/2 diffusionlike equations that have been proposed as transport corrections to diffusion theory. However, for even N, the SP[sub N] equations have not previously been discussed, except in Ref. 6. In this paper, we formulate the SP[sub 2] equation for one-group, isotropically scattering, general-geometry transport problems, and we compare numerical x, y-geometry diffusion, SP[sub 2], and discrete ordinates (S[sub N]) solutions. Because the SP[sub 2] equation is a single diffusion equation, the SP[sub 2] results are obtained with almost the same computational effort as the diffusion results. Also, we find that in nearly all cases, the SP[sub 2] results are significantly more accurate.