Accelerated sampling of the free gas resonance elastic scattering kernel
In this work, we present the derivation and investigation of a new Doppler broadening rejection sampling approach for the exact treatment of resonance elastic scattering in Monte Carlo neutron transport codes. Implemented in OpenMC, this method correctly accounts for the energy dependence of cross s...
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Elsevier
2017
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Online Access: | http://hdl.handle.net/1721.1/108113 https://orcid.org/0000-0002-2542-1149 https://orcid.org/0000-0003-1459-7672 https://orcid.org/0000-0003-2497-4312 |
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author | Walsh, Jonathan Alan Forget, Benoit Robert Yves Smith, Kord S. |
author2 | Massachusetts Institute of Technology. Department of Nuclear Science and Engineering |
author_facet | Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Walsh, Jonathan Alan Forget, Benoit Robert Yves Smith, Kord S. |
author_sort | Walsh, Jonathan Alan |
collection | MIT |
description | In this work, we present the derivation and investigation of a new Doppler broadening rejection sampling approach for the exact treatment of resonance elastic scattering in Monte Carlo neutron transport codes. Implemented in OpenMC, this method correctly accounts for the energy dependence of cross sections when treating the thermal motion of target nuclei in elastic scattering events. The method is verified against both stochastic and deterministic reference results in the literature for ²³⁸U resonance scattering. Upscatter percentages and mean scattered energies calculated with the method are shown to agree well with the reference scattering kernel results. Additionally, pin cell and full core k[subscript eff] results calculated with this implementation of the exact resonance scattering kernel are shown to be in close agreement with those in the literature. The attractiveness of the method stems from its improvement upon a computationally expensive rejection sampling procedure employed by an earlier stochastic resonance scattering treatment. With no loss in accuracy, the accelerated sampling algorithm is shown to reduce overall runtime by 3–5% relative to the Doppler broadening rejection correction method for both pin cell and full core benchmark problems. This translates to a 30–40% reduction in runtime overhead. |
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format | Article |
id | mit-1721.1/108113 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T08:25:42Z |
publishDate | 2017 |
publisher | Elsevier |
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spelling | mit-1721.1/1081132022-09-30T09:19:24Z Accelerated sampling of the free gas resonance elastic scattering kernel Walsh, Jonathan Alan Forget, Benoit Robert Yves Smith, Kord S. Massachusetts Institute of Technology. Department of Nuclear Science and Engineering forget benoit Walsh, Jonathan Alan Forget, Benoit Robert Yves Smith, Kord S. In this work, we present the derivation and investigation of a new Doppler broadening rejection sampling approach for the exact treatment of resonance elastic scattering in Monte Carlo neutron transport codes. Implemented in OpenMC, this method correctly accounts for the energy dependence of cross sections when treating the thermal motion of target nuclei in elastic scattering events. The method is verified against both stochastic and deterministic reference results in the literature for ²³⁸U resonance scattering. Upscatter percentages and mean scattered energies calculated with the method are shown to agree well with the reference scattering kernel results. Additionally, pin cell and full core k[subscript eff] results calculated with this implementation of the exact resonance scattering kernel are shown to be in close agreement with those in the literature. The attractiveness of the method stems from its improvement upon a computationally expensive rejection sampling procedure employed by an earlier stochastic resonance scattering treatment. With no loss in accuracy, the accelerated sampling algorithm is shown to reduce overall runtime by 3–5% relative to the Doppler broadening rejection correction method for both pin cell and full core benchmark problems. This translates to a 30–40% reduction in runtime overhead. United States. Department of Energy (DE-AC05-00OR22725) 2017-04-13T17:07:39Z 2017-04-13T17:07:39Z 2014-02 2013-10 Article http://purl.org/eprint/type/JournalArticle 0306-4549 http://hdl.handle.net/1721.1/108113 Walsh, Jonathan A., Benoit Forget, and Kord S. Smith. “Accelerated Sampling of the Free Gas Resonance Elastic Scattering Kernel.” Annals of Nuclear Energy 69 (July 2014): 116–124. © 2014 Elsevier Ltd https://orcid.org/0000-0002-2542-1149 https://orcid.org/0000-0003-1459-7672 https://orcid.org/0000-0003-2497-4312 en_US http://dx.doi.org/10.1016/j.anucene.2014.01.017 Annals of Nuclear Energy Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier Prof. Forget via Chris Sherratt |
spellingShingle | Walsh, Jonathan Alan Forget, Benoit Robert Yves Smith, Kord S. Accelerated sampling of the free gas resonance elastic scattering kernel |
title | Accelerated sampling of the free gas resonance elastic scattering kernel |
title_full | Accelerated sampling of the free gas resonance elastic scattering kernel |
title_fullStr | Accelerated sampling of the free gas resonance elastic scattering kernel |
title_full_unstemmed | Accelerated sampling of the free gas resonance elastic scattering kernel |
title_short | Accelerated sampling of the free gas resonance elastic scattering kernel |
title_sort | accelerated sampling of the free gas resonance elastic scattering kernel |
url | http://hdl.handle.net/1721.1/108113 https://orcid.org/0000-0002-2542-1149 https://orcid.org/0000-0003-1459-7672 https://orcid.org/0000-0003-2497-4312 |
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