Published June 1, 2013
| Version v1
Journal article
Multigrid in energy preconditioner for Krylov solvers
- 1. Department of Mechanical Engineering and Material Science, University of Pittsburgh, 605 Benedum Hall, 3700 O'Hara Street, Pittsburgh, PA 15261 (United States)
- 2. Radiation Transport Group, Oak Ridge National Laboratory, P.O. BOX 2008 MS6170, Oak Ridge TN 37831 (United States)
- 3. Department of Nuclear Engineering and Engineering Physics, University of Wisconsin – Madison, 419 ERB, 1500 Engineering Drive, Madison, WI 52706 (United States)
Description
We have added a new multigrid in energy (MGE) preconditioner to the Denovo discrete-ordinates radiation transport code. This preconditioner takes advantage of a new multilevel parallel decomposition. A multigroup Krylov subspace iterative solver that is decomposed in energy as well as space-angle forms the backbone of the transport solves in Denovo. The space-angle-energy decomposition facilitates scaling to hundreds of thousands of cores. The multigrid in energy preconditioner scales well in the energy dimension and significantly reduces the number of Krylov iterations required for convergence. This preconditioner is well-suited for use with advanced eigenvalue solvers such as Rayleigh Quotient Iteration and Arnoldi
Availability note (English)
Available from http://dx.doi.org/10.1016/j.jcp.2013.02.012Additional details
Identifiers
- DOI
- 10.1016/j.jcp.2013.02.012;
- arXiv
- arXiv:1612.00907v1;
- PII
- S0021-9991(13)00122-8;
Publishing Information
- Journal Title
- Journal of Computational Physics
- Journal Volume
- 242
- Journal Page Range
- p. 405-419
- ISSN
- 0021-9991
- CODEN
- JCTPAH
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 45054665
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- CONVERGENCE; DISCRETE ORDINATE METHOD; EIGENVALUES; ITERATIVE METHODS; NEUTRON TRANSPORT; SPACE
- Descriptors DEC
- CALCULATION METHODS; NEUTRAL-PARTICLE TRANSPORT; RADIATION TRANSPORT
Optional Information
- Copyright
- Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.