Multigrid in energy preconditioner for Krylov solvers

R. N. Slaybaugh, T. M. Evans, G. G. Davidson, P. P.H. Wilson

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

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.

Original languageEnglish
Pages (from-to)405-419
Number of pages15
JournalJournal of Computational Physics
Volume242
DOIs
StatePublished - Jun 1 2013

Keywords

  • Krylov
  • Multigrid
  • Neutron transport
  • Preconditioning

Fingerprint

Dive into the research topics of 'Multigrid in energy preconditioner for Krylov solvers'. Together they form a unique fingerprint.

Cite this