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...

Full description

Bibliographic Details
Main Authors: Walsh, Jonathan Alan, Forget, Benoit Robert Yves, Smith, Kord S.
Other Authors: Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
Format: Article
Language:en_US
Published: Elsevier 2017
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
_version_ 1826189863566704640
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.
first_indexed 2024-09-23T08:25:42Z
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
record_format dspace
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
work_keys_str_mv AT walshjonathanalan acceleratedsamplingofthefreegasresonanceelasticscatteringkernel
AT forgetbenoitrobertyves acceleratedsamplingofthefreegasresonanceelasticscatteringkernel
AT smithkords acceleratedsamplingofthefreegasresonanceelasticscatteringkernel