Krylov Subspace Iterations for the Calculation of K-Eigenvalues with sn Transport Codes

Conference · Sat Apr 06 00:00:00 EST 2002

OSTI ID:976406

Warsa, James S. ^[1]; Wareing, Todd A. ^[1]; Morel, J. E. ^[1]; McGhee, John M. ^[1]; Lehoucq, Richard B. ^[1]

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1. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

We apply the Implicitly Restarted Arnoldi Method (IRAM), a Krylov subspace iterative method, to the calculation of k-eigenvalues for criticality problems. We show that the method can be implemented with only modest changes to existing power iteration schemes in an SN transport code. Numerical results on three dimensional unstructured tetrahedral meshes are shown. Although we only compare the IRAM to unaccelerated power iteration, the results indicate that the IRAM is a potentially efficient and powerful technique, especially for problems with dominance ratios approaching unity.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA), Nuclear Criticality Safety Program (NCSP)
• OSTI ID: 976406
• Report Number(s): LA-UR-02-6666; TRN: US201018%%1228
• Resource Relation: Conference: Proceedings of the 2003 Nuclear Mathematical and Computational Sciences Conference, Gatlinburg, TN (United States), 6-11 April 2002
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
CRITICALITY
EIGENVALUES
ITERATIVE METHODS
TRANSPORT
Nuclear Criticality Safety Program (NCSP)
Criticality Eigenvalues
Implicitly Restarted Arnoldi Method (IRAM)
Deterministic Transport Methods