A first-order integral method developed for the VARIANT code

M. A. Smith*, Elmer E Lewis, G. Palmiotti, W. S. Yang

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

A first order nodal integral method using spherical harmonic interface conditions is formulated and implemented into VARIANT [1-3], a variational nodal transport code developed at Argonne National Laboratory. The spatial domain is split into hybrid finite elements, called nodes, where orthogonal polynomial spatial trial functions are used within each node and spatial Lagrange multipliers are used along the node boundaries. The internal angular approximation is weighted with a complete odd-order spherical harmonics set and numerically integrated using a standard angular quadrature. Along the nodal boundaries, even-order Rumyantsev interface conditions are combined with the spatial Lagrange multipliers to couple the nodes together. The new method is implemented in Cartesian geometry and used to solve a fixed source two-dimensional benchmark problem.

Original languageEnglish (US)
Title of host publicationPHYSOR-2006 - American Nuclear Society's Topical Meeting on Reactor Physics
Volume2006
StatePublished - Dec 1 2006
EventPHYSOR-2006 - American Nuclear Society's Topical Meeting on Reactor Physics - Vancouver, BC, Canada
Duration: Sep 10 2006 → Sep 14 2006

Other

OtherPHYSOR-2006 - American Nuclear Society's Topical Meeting on Reactor Physics
CountryCanada
CityVancouver, BC
Period9/10/06 → 9/14/06

Keywords

  • First-order form
  • Neutron transport
  • Nodal method
  • Spherical harmonics
  • VARIANT
  • Void region problems

ASJC Scopus subject areas

  • Engineering(all)

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    Smith, M. A., Lewis, E. E., Palmiotti, G., & Yang, W. S. (2006). A first-order integral method developed for the VARIANT code. In PHYSOR-2006 - American Nuclear Society's Topical Meeting on Reactor Physics (Vol. 2006)