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dc.contributor.authorGibson, Nathan Andrew
dc.contributor.authorSmith, Kord S.
dc.contributor.authorForget, Benoit Robert Yves
dc.date.accessioned2017-04-10T14:43:26Z
dc.date.available2017-04-10T14:43:26Z
dc.date.issued2015-04
dc.identifier.isbn9781510808041
dc.identifier.urihttp://hdl.handle.net/1721.1/108003
dc.description.abstractAccounting for self-shielding effects is paramount to accurate generation of multigroup cross sections for use in deterministic reactor physics neutronics calculations. Historically, equivalence in dilution and subgroup techniques have been the preeminent means of accounting for these effects, but recent work has proposed new solutions, including the Embedded Self-Shielding Method (ESSM). This paper presents a very simple benchmark problem to compare these and future self-shielding methods. The benchmark is perhaps the simplest problem in which both energy and spatial self-shielding effects are important, a two-region problem with a lumped resonant material. A single resonance in a single energy group is considered. Scattering is approximated using the narrow resonance approximation, decoupling each energy value and allowing an easily-computed reference solution to be obtained. Equivalence in dilution using two-term rational expansions and the subgroup method were both found to give very accurate solutions on this benchmark, with errors less than 1% in nearly all cases. One-term rational expansions and ESSM showed much larger errors.en_US
dc.language.isoen_US
dc.publisherAmerican Nuclear Societyen_US
dc.relation.isversionofhttp://www.proceedings.com/27010.htmlen_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourceProf. Forget via Chris Sherratten_US
dc.titleSimple benchmark for evaluating self-shielding modelsen_US
dc.typeArticleen_US
dc.identifier.citationGibson, Nathan A., Kord Smith, and Benoit Forget. "Simple Benchmark for Evaluating Self-Shielding Models." Proceedings of Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference (M&C+SNA+MC 2015), Nashville, Tennessee, USA. Vol. 1. pp. 1832-851.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Nuclear Science and Engineeringen_US
dc.contributor.mitauthorGibson, Nathan Andrew
dc.contributor.mitauthorSmith, Kord S.
dc.contributor.mitauthorForget, Benoit Robert Yves
dc.relation.journalProceedings of the Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, 2015. (M&C+SNA+MC 2015)en_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/ConferencePaperen_US
eprint.statushttp://purl.org/eprint/status/NonPeerRevieweden_US
dspace.orderedauthorsGibson, Nathan A.; Smith, Kord; Forget, Benoiten_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0001-7717-0364
dc.identifier.orcidhttps://orcid.org/0000-0003-2497-4312
dc.identifier.orcidhttps://orcid.org/0000-0003-1459-7672
mit.licenseOPEN_ACCESS_POLICYen_US
mit.metadata.statusComplete


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