The numerical solution of the two-dimensional radiative transfer equation for a medium with properties of absorption and isotropic scattering

Detalhes bibliográficos
Autor(a) principal: Nunes, Rogerio Chaffin
Data de Publicação: 2007
Outros Autores: Roberty, Nilson, Instituto de Engenharia Nuclear, Universidade Federal do Rio de Janeiro
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional do IEN
Texto Completo: http://carpedien.ien.gov.br:8080/handle/ien/2506
Resumo: The two-dimensional radiative transfer equation will be formulated considering the axial projections and this equation will be approached angularly for the discrete ordinate method. The variational formulation for the system of differential equations of 1st order with boundary conditions in the incident flow is approached by a mesh of pixels that are generated using a natural basis. The system of partial differential equations generated of this approach is numerically solved by the discontinuous finite element method. This work investigates the sensibility of the emergent flow knowing the properties of absorption and isotropic scattering of the medium and presents the numerical results of the influence of these properties in the mapping of incident-emergent flow for the nonhomogeneous case.
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spelling Nunes, Rogerio ChaffinRoberty, NilsonInstituto de Engenharia NuclearUniversidade Federal do Rio de Janeiro2018-07-12T13:42:14Z2018-07-12T13:42:14Z2007-09http://carpedien.ien.gov.br:8080/handle/ien/2506Submitted by Marcele Costal de Castro (costalcastro@gmail.com) on 2018-07-12T13:42:13Z No. of bitstreams: 1 THE NUMERICAL SOLUTION OF THE TWO-DIMENSIONAL RADIATIVE TRANSFER EQUATION FOR A MEDIUM WITH PROPERTIES OF ABSORPTION AND ISOTROPIC SCATTERING.pdf: 233409 bytes, checksum: d22fe314b3ab427d557dfa2c31bc7792 (MD5)Made available in DSpace on 2018-07-12T13:42:14Z (GMT). No. of bitstreams: 1 THE NUMERICAL SOLUTION OF THE TWO-DIMENSIONAL RADIATIVE TRANSFER EQUATION FOR A MEDIUM WITH PROPERTIES OF ABSORPTION AND ISOTROPIC SCATTERING.pdf: 233409 bytes, checksum: d22fe314b3ab427d557dfa2c31bc7792 (MD5) Previous issue date: 2007-09The two-dimensional radiative transfer equation will be formulated considering the axial projections and this equation will be approached angularly for the discrete ordinate method. The variational formulation for the system of differential equations of 1st order with boundary conditions in the incident flow is approached by a mesh of pixels that are generated using a natural basis. The system of partial differential equations generated of this approach is numerically solved by the discontinuous finite element method. This work investigates the sensibility of the emergent flow knowing the properties of absorption and isotropic scattering of the medium and presents the numerical results of the influence of these properties in the mapping of incident-emergent flow for the nonhomogeneous case.engInstituto de Engenharia NuclearIENBrasilINAC 2007Radiative transferIsotropic scatteringAbsorption propertiesThe numerical solution of the two-dimensional radiative transfer equation for a medium with properties of absorption and isotropic scatteringinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectIII INACinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional do IENinstname:Instituto de Engenharia Nuclearinstacron:IENLICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://carpedien.ien.gov.br:8080/xmlui/bitstream/ien/2506/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52ORIGINALTHE NUMERICAL SOLUTION OF THE TWO-DIMENSIONAL RADIATIVE TRANSFER EQUATION FOR A MEDIUM WITH PROPERTIES OF ABSORPTION AND ISOTROPIC SCATTERING.pdfTHE NUMERICAL SOLUTION OF THE TWO-DIMENSIONAL RADIATIVE TRANSFER EQUATION FOR A MEDIUM WITH PROPERTIES OF ABSORPTION AND ISOTROPIC SCATTERING.pdfapplication/pdf233409http://carpedien.ien.gov.br:8080/xmlui/bitstream/ien/2506/1/THE+NUMERICAL+SOLUTION+OF+THE+TWO-DIMENSIONAL+RADIATIVE+TRANSFER+EQUATION+FOR+A+MEDIUM+WITH+PROPERTIES+OF+ABSORPTION+AND+ISOTROPIC+SCATTERING.pdfd22fe314b3ab427d557dfa2c31bc7792MD51ien/2506oai:carpedien.ien.gov.br:ien/25062018-07-12 10:42:14.585Dspace IENlsales@ien.gov.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
dc.title.pt_BR.fl_str_mv The numerical solution of the two-dimensional radiative transfer equation for a medium with properties of absorption and isotropic scattering
title The numerical solution of the two-dimensional radiative transfer equation for a medium with properties of absorption and isotropic scattering
spellingShingle The numerical solution of the two-dimensional radiative transfer equation for a medium with properties of absorption and isotropic scattering
Nunes, Rogerio Chaffin
INAC 2007
Radiative transfer
Isotropic scattering
Absorption properties
title_short The numerical solution of the two-dimensional radiative transfer equation for a medium with properties of absorption and isotropic scattering
title_full The numerical solution of the two-dimensional radiative transfer equation for a medium with properties of absorption and isotropic scattering
title_fullStr The numerical solution of the two-dimensional radiative transfer equation for a medium with properties of absorption and isotropic scattering
title_full_unstemmed The numerical solution of the two-dimensional radiative transfer equation for a medium with properties of absorption and isotropic scattering
title_sort The numerical solution of the two-dimensional radiative transfer equation for a medium with properties of absorption and isotropic scattering
author Nunes, Rogerio Chaffin
author_facet Nunes, Rogerio Chaffin
Roberty, Nilson
Instituto de Engenharia Nuclear
Universidade Federal do Rio de Janeiro
author_role author
author2 Roberty, Nilson
Instituto de Engenharia Nuclear
Universidade Federal do Rio de Janeiro
author2_role author
author
author
dc.contributor.author.fl_str_mv Nunes, Rogerio Chaffin
Roberty, Nilson
Instituto de Engenharia Nuclear
Universidade Federal do Rio de Janeiro
dc.subject.por.fl_str_mv INAC 2007
Radiative transfer
Isotropic scattering
Absorption properties
topic INAC 2007
Radiative transfer
Isotropic scattering
Absorption properties
dc.description.abstract.por.fl_txt_mv The two-dimensional radiative transfer equation will be formulated considering the axial projections and this equation will be approached angularly for the discrete ordinate method. The variational formulation for the system of differential equations of 1st order with boundary conditions in the incident flow is approached by a mesh of pixels that are generated using a natural basis. The system of partial differential equations generated of this approach is numerically solved by the discontinuous finite element method. This work investigates the sensibility of the emergent flow knowing the properties of absorption and isotropic scattering of the medium and presents the numerical results of the influence of these properties in the mapping of incident-emergent flow for the nonhomogeneous case.
description The two-dimensional radiative transfer equation will be formulated considering the axial projections and this equation will be approached angularly for the discrete ordinate method. The variational formulation for the system of differential equations of 1st order with boundary conditions in the incident flow is approached by a mesh of pixels that are generated using a natural basis. The system of partial differential equations generated of this approach is numerically solved by the discontinuous finite element method. This work investigates the sensibility of the emergent flow knowing the properties of absorption and isotropic scattering of the medium and presents the numerical results of the influence of these properties in the mapping of incident-emergent flow for the nonhomogeneous case.
publishDate 2007
dc.date.issued.fl_str_mv 2007-09
dc.date.accessioned.fl_str_mv 2018-07-12T13:42:14Z
dc.date.available.fl_str_mv 2018-07-12T13:42:14Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
status_str publishedVersion
format conferenceObject
dc.identifier.uri.fl_str_mv http://carpedien.ien.gov.br:8080/handle/ien/2506
url http://carpedien.ien.gov.br:8080/handle/ien/2506
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.publisher.none.fl_str_mv Instituto de Engenharia Nuclear
dc.publisher.initials.fl_str_mv IEN
dc.publisher.country.fl_str_mv Brasil
publisher.none.fl_str_mv Instituto de Engenharia Nuclear
dc.source.none.fl_str_mv reponame:Repositório Institucional do IEN
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instacron:IEN
reponame_str Repositório Institucional do IEN
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bitstream.url.fl_str_mv http://carpedien.ien.gov.br:8080/xmlui/bitstream/ien/2506/2/license.txt
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