Krylov Subspace Iterations for the Calculation of K-Eigenvalues with sn Transport Codes
J. S. Warsa, Todd A. Wareing, Jim E. Morel, J.M. McGhee, Richard B. Lehoucq · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · 2002
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