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Development of a Finite Volume Inter-cell Polynomial Expansion Method for the Neutron Diffusion Equation

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Development of a Finite Volume Inter-cell Polynomial Expansion Method for the Neutron Diffusion Equation

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dc.contributor.author Bernal García, Álvaro es_ES
dc.contributor.author Román Moltó, José Enrique es_ES
dc.contributor.author Miró Herrero, Rafael es_ES
dc.contributor.author Ginestar Peiro, Damián es_ES
dc.contributor.author Verdú Martín, Gumersindo Jesús es_ES
dc.date.accessioned 2016-09-12T14:52:31Z
dc.date.available 2016-09-12T14:52:31Z
dc.date.issued 2016
dc.identifier.issn 0022-3131
dc.identifier.uri http://hdl.handle.net/10251/69282
dc.description.abstract Heterogeneous nuclear reactors require numerical methods to solve the neutron diffusion equation (NDE) to obtain the neutron flux distribution inside them, by discretizing the heterogeneous geometry in a set of homogeneous regions. This discretization requires additional equations at the inner faces of two adjacent cells: neutron flux and current continuity, which imply an excess of equations. The finite volume method (FVM) is suitable to be applied to NDE, because it can be easily applied to any mesh and it is typically used in the transport equations due to the conservation of the transported quantity within the volume. However, the gradient and face-averaged values in the FVM are typically calculated as a function of the cell-averaged values of adjacent cells. So, if the materials of the adjacent cells are different, the neutron current condition could not be accomplished. Therefore, a polynomial expansion of the neutron flux is developed in each cell for assuring the accomplishment of the flux and current continuity and calculating both analytically. In this polynomial expansion, the polynomial terms for each cell were assigned previously and the constant coefficients are determined by solving the eigenvalue problem with SLEPc. A sensitivity analysis for determining the best set of polynomial terms is performed. es_ES
dc.description.sponsorship This work has been partially supported by the Spanish Ministerio de Eduacion Cultura y Deporte [grant number FPU13/01009]; the Spanish Ministerio de Ciencia e Innovacion [project number ENE2014-59442-P], [project number ENE2012-34585]; the Generalitat Valenciana [project number PROMETEOII/2014/008]; the Universitat Politecnica de Valencia [project number UPPTE/2012/118]; and the Spanish Ministerio de Economia y Competitividad [project number TIN2013-41049-P]. en_EN
dc.language Inglés es_ES
dc.publisher Taylor & Francis es_ES
dc.relation Spanish Ministerio de Eduación Cultura y Deporte/FPU13/01009 es_ES
dc.relation Spanish Ministerio de Ciencia e Innovación/ENE2014-59442-P es_ES
dc.relation Spanish Ministerio de Ciencia e Innovación/ENE2012-34585 es_ES
dc.relation Generalitat Valenciana/PROMETEOII/2014/008 es_ES
dc.relation Universitat Politècnica de València/UPPTE/2012/118 es_ES
dc.relation Spanish Ministerio de Economía y Competitividad/TIN2013-41049-P es_ES
dc.relation.ispartof Journal of Nuclear Science and Technology es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Neutron diffusion equation es_ES
dc.subject Finite volume method es_ES
dc.subject Polynomial expansion es_ES
dc.subject Steady state es_ES
dc.subject.classification CIENCIAS DE LA COMPUTACION E INTELIGENCIA ARTIFICIAL es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.subject.classification INGENIERIA NUCLEAR es_ES
dc.title Development of a Finite Volume Inter-cell Polynomial Expansion Method for the Neutron Diffusion Equation es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1080/00223131.2015.1102661
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros Industriales - Escola Tècnica Superior d'Enginyers Industrials es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería del Diseño - Escola Tècnica Superior d'Enginyeria del Disseny es_ES
dc.description.bibliographicCitation Bernal García, Á.; Román Moltó, JE.; Miró Herrero, R.; Ginestar Peiro, D.; Verdú Martín, GJ. (2016). Development of a Finite Volume Inter-cell Polynomial Expansion Method for the Neutron Diffusion Equation. Journal of Nuclear Science and Technology. 53(8):1212-1223. doi:10.1080/00223131.2015.1102661 es_ES
dc.description.accrualMethod Senia es_ES
dc.relation.publisherversion http://dx.doi.org/10.1080/00223131.2015.1102661 es_ES
dc.description.upvformatpinicio 1212 es_ES
dc.description.upvformatpfin 1223 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 53 es_ES
dc.description.issue 8 es_ES
dc.relation.senia 308328 es_ES
dc.identifier.eissn 1881-1248


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