Green's function analysis of homogeneous slab time eigenvalues

Conference · Thu Jan 01 00:00:00 EST 2004

OSTI ID:977390

Kornreich, D E ^[1]; Parsons, Donald Kent

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1. Drew E.

Several recent papers have examined higher mode eigenvalues and eigenfunctions for multiplying systems. One of the goals of these analyses was to produce benchmark-quality results of the fundamental multiplication eigenvalue along with associated higher mode eigenvalues. The Green's Function Method (GFM) was found to be quite useful in these analyses. In this paper we extend our use of the GFM to include the calculation of real time eigenvalues. Many large-scale transport codes have difficulty calculating negative time eigenvalues, and the availability of benchmark-quality positive time eigenvalues is also scarce. Thus, we enhance the suite of benchmark-quality results for nuclear code developers by adding some time eigenvalue results.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE
• OSTI ID: 977390
• Report Number(s): LA-UR-04-0034; LA-UR-04-34; TRN: US1002893
• Resource Relation: Conference: Submitted to: American Nuclear Society Annual Meeting, Pittsburgh, Pennsylvania, June 2004
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
97 MATHEMATICAL METHODS AND COMPUTING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
EIGENFUNCTIONS
EIGENVALUES
GREEN FUNCTION
RADIATION TRANSPORT