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.2013.02.012

Additional 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.