Green's function analysis of heterogeneous slab time eigenvalues
- Drew E.
The time eigenvalue problem is one of the three major eigenvalue problems considered in nuclear engineering applications, the others being critical dimensional concentration eigenvalues and effective multiplication eigenvalues. The results presented here are a direct follow-on to one-dimensional homogeneous time eigenvalue results presented in the last ANS meeting in Pittsburgh. We have expanded our efforts to calculate time eigenvalues and eigenfunctions for one-dimensional Cartesian heterogeneous slabs. The primary purpose of these calculations is to provide the code-development community with benchmark-quality results of the fundamental time eigenvalue for heterogeneous slab systems. These calculations also yield the real higher mode eigenvalues (and eigenfunctions). Again, we employ the Green's Function Method (GFM) in these analyses. We will examine systems with decaying and growing neutron populations.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 977661
- Report Number(s):
- LA-UR-04-3722; TRN: US1003664
- Resource Relation:
- Conference: Submitted to: American Nuclear Society Winter Meeting, Washington, D.C., November 2004
- Country of Publication:
- United States
- Language:
- English
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