Energy dependent source reconstructions via explicit formulations of the adjoint particles flux

Detalhes bibliográficos
Autor(a) principal: Pazinatto, Cássio Baissvenger
Data de Publicação: 2018
Outros Autores: Barichello, Liliane Basso
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/194876
Resumo: An analytical solution to the discrete ordinates approximation of the adjoint to the multigroup transport equation in onedimensional slab geometry is developed in this work, in order to be used in source estimation problems. The solution is firstly tested in a source-detector problem, where explicit expressions are derived to approximate the absorption rate of particles of internal detectors. Noisy data generated from readings of internal detectors were then used, along with the adjoint formulation, in an iterative process to solve an energydependent inverse problem of source reconstruction in the cases of polynomials and piecewise constant sources. The approach is shown to be fast and accurate.
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spelling Pazinatto, Cássio BaissvengerBarichello, Liliane Basso2019-06-01T02:39:27Z20182332-4309http://hdl.handle.net/10183/194876001092444An analytical solution to the discrete ordinates approximation of the adjoint to the multigroup transport equation in onedimensional slab geometry is developed in this work, in order to be used in source estimation problems. The solution is firstly tested in a source-detector problem, where explicit expressions are derived to approximate the absorption rate of particles of internal detectors. Noisy data generated from readings of internal detectors were then used, along with the adjoint formulation, in an iterative process to solve an energydependent inverse problem of source reconstruction in the cases of polynomials and piecewise constant sources. The approach is shown to be fast and accurate.application/pdfengJournal of computational and theoretical transport. London. Vol. 47, no. 1-3 (2018), p. 58-83Método analítico de ordenadas discretasAdjoint transport equationAnalytical methodsInverse problemsSource-detectorSource estimationADO methodEnergy dependent source reconstructions via explicit formulations of the adjoint particles fluxEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSTEXT001092444.pdf.txt001092444.pdf.txtExtracted Texttext/plain51776http://www.lume.ufrgs.br/bitstream/10183/194876/2/001092444.pdf.txtb9d5022a272a4ab317e13bd72189c64dMD52ORIGINAL001092444.pdfTexto completo (inglês)application/pdf2522323http://www.lume.ufrgs.br/bitstream/10183/194876/1/001092444.pdf665b438f12b2b69b4a2566533b07b33eMD5110183/1948762019-06-02 02:38:51.714727oai:www.lume.ufrgs.br:10183/194876Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2019-06-02T05:38:51Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Energy dependent source reconstructions via explicit formulations of the adjoint particles flux
title Energy dependent source reconstructions via explicit formulations of the adjoint particles flux
spellingShingle Energy dependent source reconstructions via explicit formulations of the adjoint particles flux
Pazinatto, Cássio Baissvenger
Método analítico de ordenadas discretas
Adjoint transport equation
Analytical methods
Inverse problems
Source-detector
Source estimation
ADO method
title_short Energy dependent source reconstructions via explicit formulations of the adjoint particles flux
title_full Energy dependent source reconstructions via explicit formulations of the adjoint particles flux
title_fullStr Energy dependent source reconstructions via explicit formulations of the adjoint particles flux
title_full_unstemmed Energy dependent source reconstructions via explicit formulations of the adjoint particles flux
title_sort Energy dependent source reconstructions via explicit formulations of the adjoint particles flux
author Pazinatto, Cássio Baissvenger
author_facet Pazinatto, Cássio Baissvenger
Barichello, Liliane Basso
author_role author
author2 Barichello, Liliane Basso
author2_role author
dc.contributor.author.fl_str_mv Pazinatto, Cássio Baissvenger
Barichello, Liliane Basso
dc.subject.por.fl_str_mv Método analítico de ordenadas discretas
topic Método analítico de ordenadas discretas
Adjoint transport equation
Analytical methods
Inverse problems
Source-detector
Source estimation
ADO method
dc.subject.eng.fl_str_mv Adjoint transport equation
Analytical methods
Inverse problems
Source-detector
Source estimation
ADO method
description An analytical solution to the discrete ordinates approximation of the adjoint to the multigroup transport equation in onedimensional slab geometry is developed in this work, in order to be used in source estimation problems. The solution is firstly tested in a source-detector problem, where explicit expressions are derived to approximate the absorption rate of particles of internal detectors. Noisy data generated from readings of internal detectors were then used, along with the adjoint formulation, in an iterative process to solve an energydependent inverse problem of source reconstruction in the cases of polynomials and piecewise constant sources. The approach is shown to be fast and accurate.
publishDate 2018
dc.date.issued.fl_str_mv 2018
dc.date.accessioned.fl_str_mv 2019-06-01T02:39:27Z
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dc.identifier.issn.pt_BR.fl_str_mv 2332-4309
dc.identifier.nrb.pt_BR.fl_str_mv 001092444
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dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Journal of computational and theoretical transport. London. Vol. 47, no. 1-3 (2018), p. 58-83
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