Modal methods for the neutron diffusion equation using different spatial modes
[EN] The behaviour of the neutrons inside a nuclear reactor core can be modelled by using the time dependent neutron diffusion equation. Different time schemes have been used to integrate this equation. One possibility is to use a modal method, which is based on the expansion of the neutron flux in...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/143121 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/143121 |
| Access Level: | acceso abierto |
| Palabra clave: | Modal method Finite element method Time dependent neutron diffusion equation Spatial Modes MATEMATICA APLICADA INGENIERIA NUCLEAR |
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Modal methods for the neutron diffusion equation using different spatial modesCarreño, Amanda|||0000-0003-2302-1157Vidal-Ferràndiz, Antoni|||0000-0001-5449-7356Ginestar Peiro, Damián|||0000-0003-1243-6648Verdú Martín, Gumersindo Jesús|||0000-0001-5098-080XModal methodFinite element methodTime dependent neutron diffusion equationSpatial ModesMATEMATICA APLICADAINGENIERIA NUCLEAR[EN] The behaviour of the neutrons inside a nuclear reactor core can be modelled by using the time dependent neutron diffusion equation. Different time schemes have been used to integrate this equation. One possibility is to use a modal method, which is based on the expansion of the neutron flux in terms of spatial modes that are the eigenfunctions associated with a given configuration of the reactor core. Several spatial modes can be defined for the neutron diffusion equation such as the ¿, ¿ and ¿-modes. In this work, the ¿, the ¿ and the ¿-modes have been used to develop different modal kinetics equations, using a high order finite element method for the spatial discretization of the neutron diffusion equation. The performance of the different modal kinetic equations has been tested and compared using two 3D transient benchmark problems.This work has been partially supported by Spanish Ministerio de Economía y Competitividad under projects ENE2017-89029-P, MTM2017-85669P and BES-2015-072901.ElsevierDepartamento de Física AplicadaDepartamento de Ingeniería Química y NuclearDepartamento de Matemática AplicadaEscuela Técnica Superior de Ingeniería Aeroespacial y Diseño IndustrialInstituto Universitario de Matemática MultidisciplinarEscuela Técnica Superior de Ingeniería IndustrialInstituto Universitario de Seguridad Industrial, Radiofísica y MedioambientalAgencia Estatal de InvestigaciónMinisterio de Economía y EmpresaRepositorio Institucional de la Universitat Politècnica de València Riunet20192019-08-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/143121reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 BES-2015-072901 BES-2015-072901Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016 MTM2017-85669-P PROBLEMAS MATRICIALES: COMPUTACION, TEORIA Y APLICACIONESAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016 ENE2017-89029-P VERIFICACION, VALIDACION CUANTIFICACION DE INCERTIDUMBRES Y MEJORA DE LA PLATAFORMA NEUTRONICA%2FTERMOHIDRAULICA PANTHERopen accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1431212026-06-13T07:49:27Z |
| dc.title.none.fl_str_mv |
Modal methods for the neutron diffusion equation using different spatial modes |
| title |
Modal methods for the neutron diffusion equation using different spatial modes |
| spellingShingle |
Modal methods for the neutron diffusion equation using different spatial modes Carreño, Amanda|||0000-0003-2302-1157 Modal method Finite element method Time dependent neutron diffusion equation Spatial Modes MATEMATICA APLICADA INGENIERIA NUCLEAR |
| title_short |
Modal methods for the neutron diffusion equation using different spatial modes |
| title_full |
Modal methods for the neutron diffusion equation using different spatial modes |
| title_fullStr |
Modal methods for the neutron diffusion equation using different spatial modes |
| title_full_unstemmed |
Modal methods for the neutron diffusion equation using different spatial modes |
| title_sort |
Modal methods for the neutron diffusion equation using different spatial modes |
| dc.creator.none.fl_str_mv |
Carreño, Amanda|||0000-0003-2302-1157 Vidal-Ferràndiz, Antoni|||0000-0001-5449-7356 Ginestar Peiro, Damián|||0000-0003-1243-6648 Verdú Martín, Gumersindo Jesús|||0000-0001-5098-080X |
| author |
Carreño, Amanda|||0000-0003-2302-1157 |
| author_facet |
Carreño, Amanda|||0000-0003-2302-1157 Vidal-Ferràndiz, Antoni|||0000-0001-5449-7356 Ginestar Peiro, Damián|||0000-0003-1243-6648 Verdú Martín, Gumersindo Jesús|||0000-0001-5098-080X |
| author_role |
author |
| author2 |
Vidal-Ferràndiz, Antoni|||0000-0001-5449-7356 Ginestar Peiro, Damián|||0000-0003-1243-6648 Verdú Martín, Gumersindo Jesús|||0000-0001-5098-080X |
| author2_role |
author author author |
| dc.contributor.none.fl_str_mv |
Departamento de Física Aplicada Departamento de Ingeniería Química y Nuclear Departamento de Matemática Aplicada Escuela Técnica Superior de Ingeniería Aeroespacial y Diseño Industrial Instituto Universitario de Matemática Multidisciplinar Escuela Técnica Superior de Ingeniería Industrial Instituto Universitario de Seguridad Industrial, Radiofísica y Medioambiental Agencia Estatal de Investigación Ministerio de Economía y Empresa Repositorio Institucional de la Universitat Politècnica de València Riunet |
| dc.subject.none.fl_str_mv |
Modal method Finite element method Time dependent neutron diffusion equation Spatial Modes MATEMATICA APLICADA INGENIERIA NUCLEAR |
| topic |
Modal method Finite element method Time dependent neutron diffusion equation Spatial Modes MATEMATICA APLICADA INGENIERIA NUCLEAR |
| description |
[EN] The behaviour of the neutrons inside a nuclear reactor core can be modelled by using the time dependent neutron diffusion equation. Different time schemes have been used to integrate this equation. One possibility is to use a modal method, which is based on the expansion of the neutron flux in terms of spatial modes that are the eigenfunctions associated with a given configuration of the reactor core. Several spatial modes can be defined for the neutron diffusion equation such as the ¿, ¿ and ¿-modes. In this work, the ¿, the ¿ and the ¿-modes have been used to develop different modal kinetics equations, using a high order finite element method for the spatial discretization of the neutron diffusion equation. The performance of the different modal kinetic equations has been tested and compared using two 3D transient benchmark problems. |
| publishDate |
2019 |
| dc.date.none.fl_str_mv |
2019 2019-08-01 |
| dc.type.none.fl_str_mv |
journal article http://purl.org/coar/resource_type/c_6501 VoR http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| dc.type.openaire.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
| dc.identifier.none.fl_str_mv |
https://riunet.upv.es/handle/10251/143121 |
| url |
https://riunet.upv.es/handle/10251/143121 |
| dc.language.none.fl_str_mv |
Inglés eng |
| language_invalid_str_mv |
Inglés |
| language |
eng |
| dc.relation.none.fl_str_mv |
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 BES-2015-072901 BES-2015-072901 Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016 MTM2017-85669-P PROBLEMAS MATRICIALES: COMPUTACION, TEORIA Y APLICACIONES Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016 ENE2017-89029-P VERIFICACION, VALIDACION CUANTIFICACION DE INCERTIDUMBRES Y MEJORA DE LA PLATAFORMA NEUTRONICA%2FTERMOHIDRAULICA PANTHER |
| dc.rights.none.fl_str_mv |
open access http://purl.org/coar/access_right/c_abf2 Reserva de todos los derechos http://rightsstatements.org/vocab/InC/1.0/ |
| dc.rights.openaire.fl_str_mv |
info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
open access http://purl.org/coar/access_right/c_abf2 Reserva de todos los derechos http://rightsstatements.org/vocab/InC/1.0/ |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf application/pdf |
| dc.publisher.none.fl_str_mv |
Elsevier |
| publisher.none.fl_str_mv |
Elsevier |
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reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia instname:Universitat Politècnica de València (UPV) |
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Universitat Politècnica de València (UPV) |
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RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
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RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
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