Interface conditions for spherical harmonics methods

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

A set of interface conditions is derived rigorously for the general spherical harmonics solution of the Boltzmann transport equation in three-dimensional Cartesian geometry. The derivation builds upon earlier work of Davidson and Rumyantsev to arrive at sets of interface conditions applicable to both even-and odd-order N spherical harmonics approximations. The exact set of conditions is compared to the approximate set currently employed in the odd-order N variational nodal code VARIANT, and the differences in accuracy and computational effort are summarized. The exact interface conditions are necessary for first-order implementations of spherical harmonics methods.

Original languageEnglish (US)
Pages (from-to)257-266
Number of pages10
JournalNuclear Science and Engineering
Volume150
Issue number3
DOIs
StatePublished - Jul 2005

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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