A first-order spherical harmonics formulation compatible with the variational nodal method

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

*Corresponding author for this work

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

4 Scopus citations

Abstract

A spherical harmonics method based upon the first-order transport equation is formulated and implemented into VARIANT [1,2], 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 utilizes a complete odd-order set of spherical harmonics. Along the nodal boundaries, even and odd-order Rumyantsev interface conditions are combined with the spatial Lagrange multipliers to couple the nodes together. The new method is implemented in Cartesian x-y geometry and used to solve a fixed source benchmark 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
Pages1495-1503
Number of pages9
StatePublished - Dec 1 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

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

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Smith, M. A., Lewis, E. E., Palmiotti, G., & Yang, W. S. (2004). A first-order spherical harmonics formulation compatible with the variational nodal method. In Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments (pp. 1495-1503). (Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments).