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dc.contributor.authorCosgrove, P
dc.contributor.authorShwageraus, E
dc.contributor.authorParks, GT
dc.date.accessioned2020-09-03T23:30:57Z
dc.date.available2020-09-03T23:30:57Z
dc.date.issued2020-12-15
dc.identifier.issn0306-4549
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/309913
dc.description.abstractNumerical instability resulting from coupling isotopic depletion and neutronics is widely reported, but little work has been done to interrogate the phenomenon theoretically. This work extends the pioneering analysis developed by Densmore et al., who examined the stability of a monoenergetic neutron diffusion problem coupled with a simple depletion system through the explicit Euler scheme. Their Fourier stability analysis is applied to the predictor-corrector scheme and its iterated and implicit variants. The results reproduce behaviour described in previous reports of numerical instability and its solution, and develop a future avenue for diagnosing the stability of burn-up problems.
dc.languageen
dc.publisherElsevier
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titleStability analysis of predictor-corrector schemes for coupling neutronics and depletion
dc.typeArticle
prism.endingPage107781
prism.number107781
prism.publicationDate2020
prism.publicationNameAnnals of Nuclear Energy
prism.startingPage107781
prism.volume149
dc.identifier.doi10.17863/CAM.57013
dcterms.dateAccepted2020-08-12
rioxxterms.versionofrecord10.1016/j.anucene.2020.107781
rioxxterms.versionAM
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2020-12-15
dc.contributor.orcidCosgrove, Paul [0000-0003-2829-6299]
dc.contributor.orcidShwageraus, Eugene [0000-0002-7309-4920]
dc.contributor.orcidParks, Geoff [0000-0001-8188-5047]
dc.identifier.eissn1873-2100
rioxxterms.typeJournal Article/Review
pubs.funder-project-idEPSRC (1818942)
pubs.funder-project-idEngineering and Physical Sciences Research Council (EP/L015900/1)
cam.issuedOnline2020-09-02
cam.orpheus.successMon Sep 07 13:50:55 BST 2020 - Embargo updated
rioxxterms.freetoread.startdate2021-09-02


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Attribution-NonCommercial-NoDerivatives 4.0 International
Except where otherwise noted, this item's licence is described as Attribution-NonCommercial-NoDerivatives 4.0 International