Home / Store / Journals / Electronic Articles / Nuclear Science and Engineering / Volume 62 / Number 3 / Pages 364-370
D. Shalitin, J. J. Wagschal, Y. Yeivin
Nuclear Science and Engineering / Volume 62 / Number 3 / Pages 364-370
Format:electronic copy (download)
We study the dependence of the number, N, of iterations necessary for the convergence of the one-group inhomogeneous transport equation, on the normalization, α, of an initial flux proportional to the external source distribution. It is proven that if the initial flux has the correct ψ0 component, where ψ0 is the fundamental eigenfunction of the corresponding homogeneous equation, the number of iterations is significantly reduced. This minimum is already indicated by a heuristic neutron-balance argument, whereas the complete function N(α) is derived by means of a rigorous analysis. Results of this analysis are illustrated by some numerical examples.
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