Use of pseudo-harmonics method coupled with finite differences coarse mesh in the solution of fixed source problems

Detalhes bibliográficos
Autor(a) principal: LIMA, Zelmo Rodrigues
Data de Publicação: 2005
Outros Autores: SILVA, Fernando Carvalho da, ALVIM, Antonio Carlos Marques, zrlima@ien.gov.br, fernando@con.ufrj.br
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional do IEN
Texto Completo: http://carpedien.ien.gov.br:8080/handle/ien/1768
Resumo: A method based in the pseudo-harmonics method was developed to solve the fixed source problem. The pseudo-harmonics method is based on the eigenfunctions associated with the leakage and removal matrix operator of the neutron diffusion equation, which will be treated here in three dimensions and two groups of energy. This matrix is built in this work through the nodal discretization supplied by coarse mesh finite differences method (CMFDM). CMFDM has as input data the average currents and the average fluxes in the faces of the node, and the average flux in the node, previously obtained by the nodal expansion method. The results obtained with the pseudo-harmonics procedure show good accuracy when compared to the reference results of the source problem tested. Moreover, it is a method which can be easily implemented to solve this type of problems.
id IEN_3e58a7872839c53c172dafe8b05749cf
oai_identifier_str oai:carpedien.ien.gov.br:ien/1768
network_acronym_str IEN
network_name_str Repositório Institucional do IEN
spelling LIMA, Zelmo RodriguesSILVA, Fernando Carvalho daALVIM, Antonio Carlos Marqueszrlima@ien.gov.brfernando@con.ufrj.brfernando@con.ufrj.br2016-05-22T15:41:35Z2016-05-22T15:41:35Z2005http://carpedien.ien.gov.br:8080/handle/ien/1768Submitted by Sherillyn Lopes (sherillynmartins@yahoo.com.br) on 2016-05-22T15:41:35Z No. of bitstreams: 1 Use of Pseudo-Harmonics Method Coupled with Finite Differences Coarse Mesh in the Solution of Fixed Source Problems.pdf: 211248 bytes, checksum: 8be3a9cd2882ae01d91d77f4d5790fa3 (MD5)Made available in DSpace on 2016-05-22T15:41:35Z (GMT). No. of bitstreams: 1 Use of Pseudo-Harmonics Method Coupled with Finite Differences Coarse Mesh in the Solution of Fixed Source Problems.pdf: 211248 bytes, checksum: 8be3a9cd2882ae01d91d77f4d5790fa3 (MD5) Previous issue date: 2005A method based in the pseudo-harmonics method was developed to solve the fixed source problem. The pseudo-harmonics method is based on the eigenfunctions associated with the leakage and removal matrix operator of the neutron diffusion equation, which will be treated here in three dimensions and two groups of energy. This matrix is built in this work through the nodal discretization supplied by coarse mesh finite differences method (CMFDM). CMFDM has as input data the average currents and the average fluxes in the faces of the node, and the average flux in the node, previously obtained by the nodal expansion method. The results obtained with the pseudo-harmonics procedure show good accuracy when compared to the reference results of the source problem tested. Moreover, it is a method which can be easily implemented to solve this type of problems.engInstituto de Engenharia NuclearIENBrasilPseudo-harmonicsFixed SourceUse of pseudo-harmonics method coupled with finite differences coarse mesh in the solution of fixed source problemsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article32info: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/1768/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52ORIGINALUse of Pseudo-Harmonics Method Coupled with Finite Differences Coarse Mesh in the Solution of Fixed Source Problems.pdfUse of Pseudo-Harmonics Method Coupled with Finite Differences Coarse Mesh in the Solution of Fixed Source Problems.pdfapplication/pdf211248http://carpedien.ien.gov.br:8080/xmlui/bitstream/ien/1768/1/Use+of+Pseudo-Harmonics+Method+Coupled+with+Finite+++Differences+Coarse++Mesh+in+the+Solution+of+Fixed+Source+Problems.pdf8be3a9cd2882ae01d91d77f4d5790fa3MD51ien/1768oai:carpedien.ien.gov.br:ien/17682016-05-22 12:41:35.781Dspace IENlsales@ien.gov.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
dc.title.pt_BR.fl_str_mv Use of pseudo-harmonics method coupled with finite differences coarse mesh in the solution of fixed source problems
title Use of pseudo-harmonics method coupled with finite differences coarse mesh in the solution of fixed source problems
spellingShingle Use of pseudo-harmonics method coupled with finite differences coarse mesh in the solution of fixed source problems
LIMA, Zelmo Rodrigues
Pseudo-harmonics
Fixed Source
title_short Use of pseudo-harmonics method coupled with finite differences coarse mesh in the solution of fixed source problems
title_full Use of pseudo-harmonics method coupled with finite differences coarse mesh in the solution of fixed source problems
title_fullStr Use of pseudo-harmonics method coupled with finite differences coarse mesh in the solution of fixed source problems
title_full_unstemmed Use of pseudo-harmonics method coupled with finite differences coarse mesh in the solution of fixed source problems
title_sort Use of pseudo-harmonics method coupled with finite differences coarse mesh in the solution of fixed source problems
author LIMA, Zelmo Rodrigues
author_facet LIMA, Zelmo Rodrigues
SILVA, Fernando Carvalho da
ALVIM, Antonio Carlos Marques
zrlima@ien.gov.br
fernando@con.ufrj.br
author_role author
author2 SILVA, Fernando Carvalho da
ALVIM, Antonio Carlos Marques
zrlima@ien.gov.br
fernando@con.ufrj.br
author2_role author
author
author
author
dc.contributor.author.fl_str_mv LIMA, Zelmo Rodrigues
SILVA, Fernando Carvalho da
ALVIM, Antonio Carlos Marques
zrlima@ien.gov.br
fernando@con.ufrj.br
fernando@con.ufrj.br
dc.subject.por.fl_str_mv Pseudo-harmonics
Fixed Source
topic Pseudo-harmonics
Fixed Source
dc.description.abstract.por.fl_txt_mv A method based in the pseudo-harmonics method was developed to solve the fixed source problem. The pseudo-harmonics method is based on the eigenfunctions associated with the leakage and removal matrix operator of the neutron diffusion equation, which will be treated here in three dimensions and two groups of energy. This matrix is built in this work through the nodal discretization supplied by coarse mesh finite differences method (CMFDM). CMFDM has as input data the average currents and the average fluxes in the faces of the node, and the average flux in the node, previously obtained by the nodal expansion method. The results obtained with the pseudo-harmonics procedure show good accuracy when compared to the reference results of the source problem tested. Moreover, it is a method which can be easily implemented to solve this type of problems.
description A method based in the pseudo-harmonics method was developed to solve the fixed source problem. The pseudo-harmonics method is based on the eigenfunctions associated with the leakage and removal matrix operator of the neutron diffusion equation, which will be treated here in three dimensions and two groups of energy. This matrix is built in this work through the nodal discretization supplied by coarse mesh finite differences method (CMFDM). CMFDM has as input data the average currents and the average fluxes in the faces of the node, and the average flux in the node, previously obtained by the nodal expansion method. The results obtained with the pseudo-harmonics procedure show good accuracy when compared to the reference results of the source problem tested. Moreover, it is a method which can be easily implemented to solve this type of problems.
publishDate 2005
dc.date.issued.fl_str_mv 2005
dc.date.accessioned.fl_str_mv 2016-05-22T15:41:35Z
dc.date.available.fl_str_mv 2016-05-22T15:41:35Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
status_str publishedVersion
format article
dc.identifier.uri.fl_str_mv http://carpedien.ien.gov.br:8080/handle/ien/1768
url http://carpedien.ien.gov.br:8080/handle/ien/1768
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
instname:Instituto de Engenharia Nuclear
instacron:IEN
reponame_str Repositório Institucional do IEN
collection Repositório Institucional do IEN
instname_str Instituto de Engenharia Nuclear
instacron_str IEN
institution IEN
bitstream.url.fl_str_mv http://carpedien.ien.gov.br:8080/xmlui/bitstream/ien/1768/2/license.txt
http://carpedien.ien.gov.br:8080/xmlui/bitstream/ien/1768/1/Use+of+Pseudo-Harmonics+Method+Coupled+with+Finite+++Differences+Coarse++Mesh+in+the+Solution+of+Fixed+Source+Problems.pdf
bitstream.checksum.fl_str_mv 8a4605be74aa9ea9d79846c1fba20a33
8be3a9cd2882ae01d91d77f4d5790fa3
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
repository.name.fl_str_mv Dspace IEN
repository.mail.fl_str_mv lsales@ien.gov.br
_version_ 1656026986583162880

Registros relacionados