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AbstractAbstract
[en] We investigate the degeneracy of the first-order PN equations and construct interface and boundary conditions that ensure a unique solution. Our technique is based on establishing an equivalence between the first- and second-order PN equations and showing that the (regular) second order equations with opposite parity to N are nondegenerate. Assuming bounded angular flux moments and sources, we derive interface and boundary conditions for the regular second-order equations that, via the equivalence, are those to be used with the first-order PN equations. While providing independent derivations, our results reproduce those derived using solid harmonic expansions by Davison and Rumyantsev in the 1950's. (authors)
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Available from doi: http://dx.doi.org/10.13182/NSE12-95; 16 refs.; Country of input: France
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Journal Article
Journal
Nuclear Science and Engineering; ISSN 0029-5639;
; v. 177; p. 19-34

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