Applying nonlinear diffusion acceleration to the neutron transport kEigenvalue problem with anisotropic scattering
Abstract
Highorder/loworder (or momentbased acceleration) algorithms have been used to significantly accelerate the solution to the neutron transport keigenvalue problem over the past several years. Recently, the nonlinear diffusion acceleration algorithm has been extended to solve fixedsource problems with anisotropic scattering sources. In this paper, we demonstrate that we can extend this algorithm to keigenvalue problems in which the scattering source is anisotropic and a significant acceleration can be achieved. Lastly, we demonstrate that the loworder, diffusionlike 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):
 LAUR1428681
Journal ID: ISSN 00295639
 Grant/Contract Number:
 AC5206NA25396
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Nuclear Science and Engineering
 Additional Journal Information:
 Journal Volume: 181; Journal Issue: 3; Journal ID: ISSN 00295639
 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 kEigenvalue problem with anisotropic scattering. United States: N. p., 2015.
Web. doi:10.13182/NSE14131.
Willert, Jeffrey, Park, H., & Taitano, William. Applying nonlinear diffusion acceleration to the neutron transport kEigenvalue problem with anisotropic scattering. United States. doi:10.13182/NSE14131.
Willert, Jeffrey, Park, H., and Taitano, William. Sun .
"Applying nonlinear diffusion acceleration to the neutron transport kEigenvalue problem with anisotropic scattering". United States. doi:10.13182/NSE14131. https://www.osti.gov/servlets/purl/1246339.
@article{osti_1246339,
title = {Applying nonlinear diffusion acceleration to the neutron transport kEigenvalue problem with anisotropic scattering},
author = {Willert, Jeffrey and Park, H. and Taitano, William},
abstractNote = {Highorder/loworder (or momentbased acceleration) algorithms have been used to significantly accelerate the solution to the neutron transport keigenvalue problem over the past several years. Recently, the nonlinear diffusion acceleration algorithm has been extended to solve fixedsource problems with anisotropic scattering sources. In this paper, we demonstrate that we can extend this algorithm to keigenvalue problems in which the scattering source is anisotropic and a significant acceleration can be achieved. Lastly, we demonstrate that the loworder, diffusionlike eigenvalue problem can be solved efficiently using a technique known as nonlinear elimination.},
doi = {10.13182/NSE14131},
journal = {Nuclear Science and Engineering},
number = 3,
volume = 181,
place = {United States},
year = {2015},
month = {11}
}
Other availability
Cited by: 2 works
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Works referenced in this record:
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 SIAM Journal on Scientific and Statistical Computing, Vol. 11, Issue 3
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 Larsen, Edward W.; Yang, Jinan
 Nuclear Science and Engineering, Vol. 159, Issue 2