Acceleration of k-Eigenvalue / Criticality Calculations using the Jacobian-Free Newton-Krylov Method
Journal Article
·
· Nuclear Science and Engineering
We present a new approach for the $$k$$--eigenvalue problem using a combination of classical power iteration and the Jacobian--free Newton--Krylov method (JFNK). The method poses the $$k$$--eigenvalue problem as a fully coupled nonlinear system, which is solved by JFNK with an effective block preconditioning consisting of the power iteration and algebraic multigrid. We demonstrate effectiveness and algorithmic scalability of the method on a 1-D, one group problem and two 2-D two group problems and provide comparison to other efforts using silmilar algorithmic approaches.
- Research Organization:
- Idaho National Lab. (INL), Idaho Falls, ID (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- DE-AC07-05ID14517
- OSTI ID:
- 1010691
- Report Number(s):
- INL/JOU-09-17332; NSENAO; TRN: US201108%%521
- Journal Information:
- Nuclear Science and Engineering, Vol. 167, Issue 2; ISSN 0029-5639
- Country of Publication:
- United States
- Language:
- English
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