OPTIMAL CHOICE OF THE INITIAL FLUX FOR ITERATIVE SOLUTIONS OF THE INHOMOGENEOUS TRANSPORT EQUATION.

D. Shalitin*, J. J. Wagschal, Y. Yeivin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The dependence of the number, N, of iterations necessary for the convergence of the one-group inhomogeneous transport equation, on the normalization, alpha of an initial flux proportional to the external source distribution, is studied. It is proven that if the initial flux has the correct psi //0 component, where psi //0 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( alpha ) is derived by means of a rigorous analysis. Results of this analysis are illustrated by some numerical examples.

Original languageAmerican English
Pages (from-to)364-370
Number of pages7
JournalNuclear Science and Engineering
Volume62
Issue number3
DOIs
StatePublished - 1977

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