The variational nodal method in R-Z geometry

Hui Zhang, E. E. Lewis*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The variational nodal method contained in the Argonne National Laboratory code VARIANT is generalized to include R-Z geometry. Spherical harmonic trial functions are used in angle, and polynomials in space. The nodal volumes correspond to toroids, with rectangular cross sections, except along centerline where they are cylinders. The R-Z response matrix equations are solved using the iterative methods already contained in VARIANT. Results are given for both a one-group fixed source and a two-group eigenvalue problem.

Original languageEnglish (US)
Title of host publicationProceedings of the PHYSOR 2004
Subtitle of host publicationThe Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments
Pages1469-1478
Number of pages10
StatePublished - 2004
EventPHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments - Chicago, IL, United States
Duration: Apr 25 2004Apr 29 2004

Publication series

NameProceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments

Other

OtherPHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments
CountryUnited States
CityChicago, IL
Period4/25/044/29/04

Keywords

  • Boltzmann Equation
  • Neutron Transport
  • Nodal Method
  • R-Z Geometry
  • Spherical Harmonics
  • Variational Method

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Zhang, H., & Lewis, E. E. (2004). The variational nodal method in R-Z geometry. In Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments (pp. 1469-1478). (Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments).