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Title: Massively Parallel, Three-Dimensional Transport Solutions for the k-Eigenvalue Problem

Abstract

We have implemented a new multilevel parallel decomposition in the Denovo dis- crete ordinates radiation transport code. In concert with Krylov subspace iterative solvers, the multilevel decomposition allows concurrency over energy in addition to space-angle, enabling scalability beyond the limits imposed by the traditional KBA space-angle partitioning. Furthermore, a new Arnoldi-based k-eigenvalue solver has been implemented. The added phase-space concurrency combined with the high- performance Krylov and Arnoldi solvers has enabled weak scaling to O(100K) cores on the Jaguar XK6 supercomputer. The multilevel decomposition provides sucient parallelism to scale to exascale computing and beyond.

Authors:
 [1];  [1];  [1];  [1];  [2]
  1. ORNL
  2. University of Wisconsin
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1134632
DOE Contract Number:  
DE-AC05-00OR22725
Resource Type:
Journal Article
Journal Name:
Nuclear Science and Engineering
Additional Journal Information:
Journal Volume: 177; Journal Issue: 2; Journal ID: ISSN 0029-5639
Publisher:
American Nuclear Society
Country of Publication:
United States
Language:
English
Subject:
Arnoldi; Krylov; Denovo

Citation Formats

Davidson, Gregory G, Evans, Thomas M, Jarrell, Joshua J, Pandya, Tara M, and Slaybaugh, R. Massively Parallel, Three-Dimensional Transport Solutions for the k-Eigenvalue Problem. United States: N. p., 2014. Web. doi:10.13182/NSE12-101.
Davidson, Gregory G, Evans, Thomas M, Jarrell, Joshua J, Pandya, Tara M, & Slaybaugh, R. Massively Parallel, Three-Dimensional Transport Solutions for the k-Eigenvalue Problem. United States. https://doi.org/10.13182/NSE12-101
Davidson, Gregory G, Evans, Thomas M, Jarrell, Joshua J, Pandya, Tara M, and Slaybaugh, R. 2014. "Massively Parallel, Three-Dimensional Transport Solutions for the k-Eigenvalue Problem". United States. https://doi.org/10.13182/NSE12-101.
@article{osti_1134632,
title = {Massively Parallel, Three-Dimensional Transport Solutions for the k-Eigenvalue Problem},
author = {Davidson, Gregory G and Evans, Thomas M and Jarrell, Joshua J and Pandya, Tara M and Slaybaugh, R},
abstractNote = {We have implemented a new multilevel parallel decomposition in the Denovo dis- crete ordinates radiation transport code. In concert with Krylov subspace iterative solvers, the multilevel decomposition allows concurrency over energy in addition to space-angle, enabling scalability beyond the limits imposed by the traditional KBA space-angle partitioning. Furthermore, a new Arnoldi-based k-eigenvalue solver has been implemented. The added phase-space concurrency combined with the high- performance Krylov and Arnoldi solvers has enabled weak scaling to O(100K) cores on the Jaguar XK6 supercomputer. The multilevel decomposition provides sucient parallelism to scale to exascale computing and beyond.},
doi = {10.13182/NSE12-101},
url = {https://www.osti.gov/biblio/1134632}, journal = {Nuclear Science and Engineering},
issn = {0029-5639},
number = 2,
volume = 177,
place = {United States},
year = {2014},
month = {1}
}

Works referenced in this record:

Anasazi software for the numerical solution of large-scale eigenvalue problems
journal, July 2009