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Validation of the SHNC time-dependent transport code based on the spherical harmonics method for complex nuclear fuel assemblies

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Validation of the SHNC time-dependent transport code based on the spherical harmonics method for complex nuclear fuel assemblies

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dc.contributor.author Capilla Romá, Maria Teresa es_ES
dc.contributor.author Talavera Usano, César Félix es_ES
dc.contributor.author Ginestar Peiro, Damián es_ES
dc.contributor.author Verdú Martín, Gumersindo Jesús es_ES
dc.date.accessioned 2021-07-24T03:33:05Z
dc.date.available 2021-07-24T03:33:05Z
dc.date.issued 2020-09 es_ES
dc.identifier.issn 0377-0427 es_ES
dc.identifier.uri http://hdl.handle.net/10251/170074
dc.description.abstract [EN] The diffusion approximation to the time-dependent Boltzmann transport equation gives accurate results for traditional nuclear reactor designs, but new reactor designs and new fuel elements require neutron transport methods. We develop a numerical approximation to the time-dependent transport equation coupled to delayed neutron precursors based on the spherical harmonics P L equations, for odd L, and on the Backward Euler finite difference discretization of time. The resulting scheme can be written as a stationary form of diffusive second order PL equations. This allows a reduction by half to the number of unknowns and also to apply a nodal collocation method to the spatial discretization of the problem, using coarse spatial grids to further reduce memory requirements. This scheme is validated with several transient benchmarks, where the convergence properties are established and compared with the simplified PL approximation. A more realistic transient benchmark, based on the two-group C5 MOX problem, is finally introduced, showing the need of high order P L approximation for complex fuel geometries. es_ES
dc.description.sponsorship This work was partially supported by the Spanish Agencia Estatal de Investigacion under project ENE2017-89029-P-AR, and the Generalitat Valenciana under project PROMETEO/2018/035. The authors express their gratitude to the anonymous reviewers for their suggestions and helpful comments. es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Journal of Computational and Applied Mathematics es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Transient neutron transport equation es_ES
dc.subject Spherical harmonics method es_ES
dc.subject Multi-dimensional PL equations es_ES
dc.subject Nodal collocation method es_ES
dc.subject Implicit Euler method es_ES
dc.subject C5 MOX transient benchmark es_ES
dc.subject.classification INGENIERIA NUCLEAR es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Validation of the SHNC time-dependent transport code based on the spherical harmonics method for complex nuclear fuel assemblies es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.cam.2020.112814 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2018%2F035/ES/BIOINGENIERIA DE LAS RADIACIONES IONIZANTES. BIORA/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI//ENE2017-89029-P/ES/VERIFICACION, VALIDACION CUANTIFICACION DE INCERTIDUMBRES Y MEJORA DE LA PLATAFORMA NEUTRONICA/TERMOHIDRAULICA PANTHER/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Ingeniería Química y Nuclear - Departament d'Enginyeria Química i Nuclear es_ES
dc.description.bibliographicCitation Capilla Romá, MT.; Talavera Usano, CF.; Ginestar Peiro, D.; Verdú Martín, GJ. (2020). Validation of the SHNC time-dependent transport code based on the spherical harmonics method for complex nuclear fuel assemblies. Journal of Computational and Applied Mathematics. 375:1-21. https://doi.org/10.1016/j.cam.2020.112814 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.cam.2020.112814 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 21 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 375 es_ES
dc.relation.pasarela S\405095 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
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