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:
-
- ORNL
- 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 = {Wed Jan 01 00:00:00 EST 2014},
month = {Wed Jan 01 00:00:00 EST 2014}
}
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Works referenced in this record:
Anasazi software for the numerical solution of large-scale eigenvalue problems
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- Baker, C. G.; Hetmaniuk, U. L.; Lehoucq, R. B.
- ACM Transactions on Mathematical Software, Vol. 36, Issue 3