The Green's function method for nuclear engineering applications

Drew E. Kornreich, Barry D. Ganapol

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

The Green's function method (GFM) is employed to obtain scalar and angular flux distributions in heterogeneous slab geometry with isotropic scattering. All solutions utilize the infinitemedium Green's function to obtain results infinite media. Past Green's function analyses that do not resort to expansions of the angular flux in basis functions have been performed for nonmultiplying media only; in this paper, results are provided, for the first time, for both multiplying and nonmultiplying media using the GFM. Several source configurations are considered, including a beam source on the leftmost face, isotropic incidence on any face, and constant inhomogeneous volume sources in internal materials. Scalar and angular flux distributions compare favorably with those obtained using the FN method as well as the ONEDANT discrete ordinates code. In addition, the single and heterogeneous critical slab problems are investigated and solved using the GFM.

Original languageEnglish (US)
Pages (from-to)293-313
Number of pages21
JournalNuclear Science and Engineering
Volume126
Issue number3
DOIs
StatePublished - Jul 1997

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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