Applying nonlinear diffusion acceleration to the neutron transport k-Eigenvalue problem with anisotropic scattering
Abstract
High-order/low-order (or moment-based acceleration) algorithms have been used to significantly accelerate the solution to the neutron transport k-eigenvalue problem over the past several years. Recently, the nonlinear diffusion acceleration algorithm has been extended to solve fixed-source problems with anisotropic scattering sources. In this paper, we demonstrate that we can extend this algorithm to k-eigenvalue problems in which the scattering source is anisotropic and a significant acceleration can be achieved. Lastly, we demonstrate that the low-order, diffusion-like eigenvalue problem can be solved efficiently using a technique known as nonlinear elimination.
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1246339
- Report Number(s):
- LA-UR-14-28681
Journal ID: ISSN 0029-5639
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nuclear Science and Engineering
- Additional Journal Information:
- Journal Volume: 181; Journal Issue: 3; Journal ID: ISSN 0029-5639
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; Mathematics
Citation Formats
Willert, Jeffrey, Park, H., and Taitano, William. Applying nonlinear diffusion acceleration to the neutron transport k-Eigenvalue problem with anisotropic scattering. United States: N. p., 2015.
Web. doi:10.13182/NSE14-131.
Willert, Jeffrey, Park, H., & Taitano, William. Applying nonlinear diffusion acceleration to the neutron transport k-Eigenvalue problem with anisotropic scattering. United States. https://doi.org/10.13182/NSE14-131
Willert, Jeffrey, Park, H., and Taitano, William. Sun .
"Applying nonlinear diffusion acceleration to the neutron transport k-Eigenvalue problem with anisotropic scattering". United States. https://doi.org/10.13182/NSE14-131. https://www.osti.gov/servlets/purl/1246339.
@article{osti_1246339,
title = {Applying nonlinear diffusion acceleration to the neutron transport k-Eigenvalue problem with anisotropic scattering},
author = {Willert, Jeffrey and Park, H. and Taitano, William},
abstractNote = {High-order/low-order (or moment-based acceleration) algorithms have been used to significantly accelerate the solution to the neutron transport k-eigenvalue problem over the past several years. Recently, the nonlinear diffusion acceleration algorithm has been extended to solve fixed-source problems with anisotropic scattering sources. In this paper, we demonstrate that we can extend this algorithm to k-eigenvalue problems in which the scattering source is anisotropic and a significant acceleration can be achieved. Lastly, we demonstrate that the low-order, diffusion-like eigenvalue problem can be solved efficiently using a technique known as nonlinear elimination.},
doi = {10.13182/NSE14-131},
journal = {Nuclear Science and Engineering},
number = 3,
volume = 181,
place = {United States},
year = {Sun Nov 01 00:00:00 EDT 2015},
month = {Sun Nov 01 00:00:00 EDT 2015}
}
Web of Science
Works referenced in this record:
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Works referencing / citing this record:
Using Anderson Acceleration to Accelerate the Convergence of Neutron Transport Calculations with Anisotropic Scattering
journal, November 2015
- Willert, Jeffrey; Park, H.; Taitano, William
- Nuclear Science and Engineering, Vol. 181, Issue 3