Quasi-reflected interface conditions for variational nodal lattice calculations

Elmer E Lewis*, M. A. Smith, G. Palmiotti

*Corresponding author for this work

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

6 Scopus citations

Abstract

Quasi-reflected interface conditions are formulated to partially decouple periodic lattice effects from the pin-cell to pin-cell flux variation in the finite subelement form of the variational nodal code VARIANT. With fuel-coolant homogenization eliminated, the interface variables that couple pin-cell sized nodes are divided into low-order and high-order spherical harmonic terms, and reflected interface conditions are applied to the high-order terms. This approach dramatically reduces the dimension of the resulting response matrices and leads to sharply reduced memory and CPU requirements for the solution of the resulting response matrix equations. The method is applied to a two-dimensional OECD/NEA PWR benchmark containing MOX and UO2 fuel assemblies. Results indicate that the quasi-reflected interface conditions result in very little loss of accuracy relative to the corresponding full spherical harmonics expansion.

Original languageEnglish (US)
Title of host publicationPHYSOR-2006 - American Nuclear Society's Topical Meeting on Reactor Physics
StatePublished - 2006
EventPHYSOR-2006 - American Nuclear Society's Topical Meeting on Reactor Physics - Vancouver, BC, Canada
Duration: Sep 10 2006Sep 14 2006

Publication series

NamePHYSOR-2006 - American Nuclear Society's Topical Meeting on Reactor Physics
Volume2006

Other

OtherPHYSOR-2006 - American Nuclear Society's Topical Meeting on Reactor Physics
Country/TerritoryCanada
CityVancouver, BC
Period9/10/069/14/06

Keywords

  • Homogenization
  • Lattice cell
  • Neutron transport
  • Spherical harmonics
  • Variational nodal method

ASJC Scopus subject areas

  • General Engineering

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