Three-dimensional variational nodal transport methods for cartesian, triangular, and hexagonal criticality calculations

C. B. Carrico*, Elmer E Lewis, G. Palmiotti

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

77 Scopus citations

Abstract

The variational nodal transport method is generalized for the effective treatment of multi-group criticality problems in two and three dimensions. A symbolic manipulation procedure is developed to achieve the fully automated generation of nodal response matrices in three-dimensional and non-Cartesian geometries. A red-black partitioned matrix algorithm for accelerating the solutions of the resulting within-group equations is presented, and its efficacy demonstrated. The methods are implemented as an option of the Argonne National Laboratory code DIF3D and applied to a series of five benchmark problems in x-y-z and hexagonal-z geometries. For reactors with large transport effects, the variational P3 calculations agree with accurate Monte Carlo eigenvalues to within a few hundredths to a few tenths of a percent while requiring Cray X-MP computing times ranging from tens to hundreds of seconds.

Original languageEnglish (US)
Pages (from-to)168-179
Number of pages12
JournalNuclear Science and Engineering
Volume111
Issue number2
DOIs
StatePublished - Jan 1 1992

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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