Generalization of the variational nodal method to spherical harmonics approximations in R-Z geometry

Hui Zhang*, E. E. Lewis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The variational nodal method is generalized to include R-Z geometry. Spherical harmonic trial functions in angle are combined with orthonormal polynomials in space to discretize the multigroup equations. The nodal response matrices that result correspond to volumes that are toroids, with rectangular cross sections, except along the centerline where the volumes are cylinders. The R-Z response matrix equations are implemented as modifications to the Argonne National Laboratory code VARIANT, and existing iterative methods are used to obtain numerical solutions. The method is tested in P1, P3, and P5 approximations, and results are presented for both a one-group fixed source and a two-group eigenvalue problem.

Original languageEnglish (US)
Pages (from-to)29-36
Number of pages8
JournalNuclear Science and Engineering
Volume152
Issue number1
DOIs
StatePublished - Jan 2006

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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