The Green`s function method for nuclear engineering applications

Journal Article · Tue Jul 01 00:00:00 EDT 1997 · Nuclear Science and Engineering

OSTI ID:531494

Kornreich, D E ^[1]; Ganapol, B D ^[2]

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1. Los Alamos National Lab., NM (United States)
2. Univ. of Arizona, Tucson, AZ (United States). Dept. of Aerospace and Mechanical Engineering

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 infinite-medium Green`s function to obtain results in finite 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 F{sub N} 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.

• OSTI ID: 531494
• Journal Information: Nuclear Science and Engineering, Vol. 126, Issue 3; Other Information: PBD: Jul 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
22 NUCLEAR REACTOR TECHNOLOGY
GREEN FUNCTION
NUCLEAR ENGINEERING
NEUTRAL-PARTICLE TRANSPORT
HETEROGENEOUS EFFECTS
PHOTON TRANSPORT
NEUTRON TRANSPORT
GAMMA RADIATION
TRANSPORT THEORY