Work

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

Year: 2002

Type: article

Abstract: 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. Key Words: criticality eigenvalues, Implicitly Restarted Arnoldi Method (IRAM), deterministic transport methods

Source: OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)

Authors: J. S. Warsa, Todd A. Wareing, Jim E. Morel, J.M. McGhee, Richard B. Lehoucq

Institution: Los Alamos National Laboratory

Language: English

Topic: Nuclear reactor physics and engineering

Subfield: Aerospace Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, Emory University, Sandia National Laboratories, Los Alamos National Laboratory

Awards: G1702950523, G194215011, G2713861829, G351415096, G7318852158, G797745481, G8456466421

OpenAlex ID: W143364800

FWCI: 0.857

Cites: 17

Cited by: 5

Related to: 10