Mixed-hybrid transport discretization using even and odd PN Expansions

S. Van Criekingen*, E. E. Lewis, R. Beauwens

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


A mixed-hybrid treatment of the spatial variables of the within-group neutron transport equation generalizes existing mixed and hybrid methods, combining their attractive features: the simultaneous approximation of even- and odd-parity angular flux components and the use of Lagrange multipliers to enforce interface continuity. A finite element spatial discretization and spherical harmonic angular expansions are used. We discuss rank conditions for the proposed methods and provide a new derivation of the Rumyantsev interface conditions. Even- and odd-parity interface continuity properties corresponding to these Rumyantsev conditions are established. We examine inclusion conditions and the interaction of the primal/dual distinction due to the spatial variable with the even/odd-order spherical harmonic approximation distinction due to the angular variable. Numerical solutions for both even- and odd-order spherical harmonic approximations are presented, and a promising enclosing property is observed in our results.

Original languageEnglish (US)
Pages (from-to)149-163
Number of pages15
JournalNuclear Science and Engineering
Issue number2
StatePublished - Feb 2006

ASJC Scopus subject areas

  • Nuclear Energy and Engineering


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