The Green's function method for nuclear engineering applications

Drew E. Kornreich, Barry D Ganapol

Research output: Contribution to journalArticle

14 Citations (Scopus)

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
StatePublished - Jul 1997

Fingerprint

Nuclear engineering
Green's function
Fluxes
Scattering
Geometry

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

Cite this

The Green's function method for nuclear engineering applications. / Kornreich, Drew E.; Ganapol, Barry D.

In: Nuclear Science and Engineering, Vol. 126, No. 3, 07.1997, p. 293-313.

Research output: Contribution to journalArticle

@article{39dc336afd50452e8146adb03138adee,
title = "The Green's function method for nuclear engineering applications",
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.",
author = "Kornreich, {Drew E.} and Ganapol, {Barry D}",
year = "1997",
month = "7",
language = "English (US)",
volume = "126",
pages = "293--313",
journal = "Nuclear Science and Engineering",
issn = "0029-5639",
publisher = "American Nuclear Society",
number = "3",

}

TY - JOUR

T1 - The Green's function method for nuclear engineering applications

AU - Kornreich, Drew E.

AU - Ganapol, Barry D

PY - 1997/7

Y1 - 1997/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0031187361&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031187361&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031187361

VL - 126

SP - 293

EP - 313

JO - Nuclear Science and Engineering

JF - Nuclear Science and Engineering

SN - 0029-5639

IS - 3

ER -