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Title: Multigrid in energy preconditioner for Krylov solvers

Abstract

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.

Authors:
;  [1];  [2]
  1. Radiation Transport Group, Oak Ridge National Laboratory, P.O. BOX 2008 MS6170, Oak Ridge TN 37831 (United States)
  2. Department of Nuclear Engineering and Engineering Physics, University of Wisconsin – Madison, 419 ERB, 1500 Engineering Drive, Madison, WI 52706 (United States)
Publication Date:
OSTI Identifier:
22233578
Resource Type:
Journal Article
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 242; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9991
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; CONVERGENCE; DISCRETE ORDINATE METHOD; EIGENVALUES; ITERATIVE METHODS; NEUTRON TRANSPORT; SPACE

Citation Formats

Slaybaugh, R.N., E-mail: rns37@pitt.edu, Evans, T. M., Davidson, G. G., and Wilson, P. P.H.. Multigrid in energy preconditioner for Krylov solvers. United States: N. p., 2013. Web. doi:10.1016/J.JCP.2013.02.012.
Slaybaugh, R.N., E-mail: rns37@pitt.edu, Evans, T. M., Davidson, G. G., & Wilson, P. P.H.. Multigrid in energy preconditioner for Krylov solvers. United States. https://doi.org/10.1016/J.JCP.2013.02.012
Slaybaugh, R.N., E-mail: rns37@pitt.edu, Evans, T. M., Davidson, G. G., and Wilson, P. P.H.. 2013. "Multigrid in energy preconditioner for Krylov solvers". United States. https://doi.org/10.1016/J.JCP.2013.02.012.
@article{osti_22233578,
title = {Multigrid in energy preconditioner for Krylov solvers},
author = {Slaybaugh, R.N., E-mail: rns37@pitt.edu and Evans, T. M. and Davidson, G. G. and Wilson, P. P.H.},
abstractNote = {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.},
doi = {10.1016/J.JCP.2013.02.012},
url = {https://www.osti.gov/biblio/22233578}, journal = {Journal of Computational Physics},
issn = {0021-9991},
number = ,
volume = 242,
place = {United States},
year = {2013},
month = {6}
}