A closed-form solution for the two-dimensional transport equation by the LTSN nodal method in the energy range of Compton effect

Detalhes bibliográficos
Autor(a) principal: Rodriguez, Bárbara Denicol do Amaral
Data de Publicação: 2011
Outros Autores: Vilhena, Marco Túllio Menna Barreto de, Hoff, Gabriela, Bodmann, Bardo Ernst Josef
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da FURG (RI FURG)
Texto Completo: http://repositorio.furg.br/handle/1/881
Resumo: In the present work we report on a closed-form solution for the two-dimensional Compton transport equation by the LTSN nodal method in the energy range of Compton effect. The solution is determined using the LTSN nodal approach for homogeneous and heterogeneous rectangular domains, assuming the Klein–Nishina scattering kernel and a multi-group model. The solution is obtained by two one-dimensional SN equation systems resulting from integrating out one of the orthogonal variables of the SN equations in the rectangular domain. The leakage angular fluxes are approximated by exponential forms, which allows to determine a closed-form solution for the photons transport equation. The angular flux and the parameters of the medium are used for the calculation of the absorbed energy in rectangular domains with different dimensions and compositions. In this study, only the absorbed energy by Compton effect is considered. We present numerical simulations and comparisons with results obtained by using the simulation platform GEANT4 (version 9.1) with its low energy libraries.
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spelling A closed-form solution for the two-dimensional transport equation by the LTSN nodal method in the energy range of Compton effectLTSN nodal solutioKlein–Nishina scattering kerneMulti-group modeCompton effecIn the present work we report on a closed-form solution for the two-dimensional Compton transport equation by the LTSN nodal method in the energy range of Compton effect. The solution is determined using the LTSN nodal approach for homogeneous and heterogeneous rectangular domains, assuming the Klein–Nishina scattering kernel and a multi-group model. The solution is obtained by two one-dimensional SN equation systems resulting from integrating out one of the orthogonal variables of the SN equations in the rectangular domain. The leakage angular fluxes are approximated by exponential forms, which allows to determine a closed-form solution for the photons transport equation. The angular flux and the parameters of the medium are used for the calculation of the absorbed energy in rectangular domains with different dimensions and compositions. In this study, only the absorbed energy by Compton effect is considered. We present numerical simulations and comparisons with results obtained by using the simulation platform GEANT4 (version 9.1) with its low energy libraries.2011-08-19T02:27:44Z2011-08-19T02:27:44Z2011info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfRODRIGUEZ , Bárbara Denicol do Amaral et al. A closed-form solution for the two-dimensional transport equation by the LTSN nodal method in the energy range of Compton effect. Annals of Nuclear Energy, v. 38, p. 151-156, 2011. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0306454910003026>. Acesso em: 16 ago. 2011.http://repositorio.furg.br/handle/1/881engRodriguez, Bárbara Denicol do AmaralVilhena, Marco Túllio Menna Barreto deHoff, GabrielaBodmann, Bardo Ernst Josefinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da FURG (RI FURG)instname:Universidade Federal do Rio Grande (FURG)instacron:FURG2011-08-19T02:27:44Zoai:repositorio.furg.br:1/881Repositório InstitucionalPUBhttps://repositorio.furg.br/oai/request || http://200.19.254.174/oai/requestopendoar:2011-08-19T02:27:44Repositório Institucional da FURG (RI FURG) - Universidade Federal do Rio Grande (FURG)false
dc.title.none.fl_str_mv A closed-form solution for the two-dimensional transport equation by the LTSN nodal method in the energy range of Compton effect
title A closed-form solution for the two-dimensional transport equation by the LTSN nodal method in the energy range of Compton effect
spellingShingle A closed-form solution for the two-dimensional transport equation by the LTSN nodal method in the energy range of Compton effect
Rodriguez, Bárbara Denicol do Amaral
LTSN nodal solutio
Klein–Nishina scattering kerne
Multi-group mode
Compton effec
title_short A closed-form solution for the two-dimensional transport equation by the LTSN nodal method in the energy range of Compton effect
title_full A closed-form solution for the two-dimensional transport equation by the LTSN nodal method in the energy range of Compton effect
title_fullStr A closed-form solution for the two-dimensional transport equation by the LTSN nodal method in the energy range of Compton effect
title_full_unstemmed A closed-form solution for the two-dimensional transport equation by the LTSN nodal method in the energy range of Compton effect
title_sort A closed-form solution for the two-dimensional transport equation by the LTSN nodal method in the energy range of Compton effect
author Rodriguez, Bárbara Denicol do Amaral
author_facet Rodriguez, Bárbara Denicol do Amaral
Vilhena, Marco Túllio Menna Barreto de
Hoff, Gabriela
Bodmann, Bardo Ernst Josef
author_role author
author2 Vilhena, Marco Túllio Menna Barreto de
Hoff, Gabriela
Bodmann, Bardo Ernst Josef
author2_role author
author
author
dc.contributor.author.fl_str_mv Rodriguez, Bárbara Denicol do Amaral
Vilhena, Marco Túllio Menna Barreto de
Hoff, Gabriela
Bodmann, Bardo Ernst Josef
dc.subject.por.fl_str_mv LTSN nodal solutio
Klein–Nishina scattering kerne
Multi-group mode
Compton effec
topic LTSN nodal solutio
Klein–Nishina scattering kerne
Multi-group mode
Compton effec
description In the present work we report on a closed-form solution for the two-dimensional Compton transport equation by the LTSN nodal method in the energy range of Compton effect. The solution is determined using the LTSN nodal approach for homogeneous and heterogeneous rectangular domains, assuming the Klein–Nishina scattering kernel and a multi-group model. The solution is obtained by two one-dimensional SN equation systems resulting from integrating out one of the orthogonal variables of the SN equations in the rectangular domain. The leakage angular fluxes are approximated by exponential forms, which allows to determine a closed-form solution for the photons transport equation. The angular flux and the parameters of the medium are used for the calculation of the absorbed energy in rectangular domains with different dimensions and compositions. In this study, only the absorbed energy by Compton effect is considered. We present numerical simulations and comparisons with results obtained by using the simulation platform GEANT4 (version 9.1) with its low energy libraries.
publishDate 2011
dc.date.none.fl_str_mv 2011-08-19T02:27:44Z
2011-08-19T02:27:44Z
2011
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv RODRIGUEZ , Bárbara Denicol do Amaral et al. A closed-form solution for the two-dimensional transport equation by the LTSN nodal method in the energy range of Compton effect. Annals of Nuclear Energy, v. 38, p. 151-156, 2011. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0306454910003026>. Acesso em: 16 ago. 2011.
http://repositorio.furg.br/handle/1/881
identifier_str_mv RODRIGUEZ , Bárbara Denicol do Amaral et al. A closed-form solution for the two-dimensional transport equation by the LTSN nodal method in the energy range of Compton effect. Annals of Nuclear Energy, v. 38, p. 151-156, 2011. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0306454910003026>. Acesso em: 16 ago. 2011.
url http://repositorio.furg.br/handle/1/881
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Institucional da FURG (RI FURG)
instname:Universidade Federal do Rio Grande (FURG)
instacron:FURG
instname_str Universidade Federal do Rio Grande (FURG)
instacron_str FURG
institution FURG
reponame_str Repositório Institucional da FURG (RI FURG)
collection Repositório Institucional da FURG (RI FURG)
repository.name.fl_str_mv Repositório Institucional da FURG (RI FURG) - Universidade Federal do Rio Grande (FURG)
repository.mail.fl_str_mv
_version_ 1813187239836909568

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