Solving two-phase freezing Stefan problems: Stability and monotonicity

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dc.contributor.affiliationFacultad de Administración y Dirección de Empresas
dc.contributor.affiliationDepartamento de Matemática Aplicada
dc.contributor.affiliationInstituto Universitario de Matemática Multidisciplinar
dc.contributor.affiliationEscuela Técnica Superior de Ingeniería de Caminos, Canales y Puertos
dc.contributor.authorPiqueras, Miguel A.es_ES
dc.contributor.authorCompany Rossi, Rafael
dc.contributor.authorJódar Sánchez, Lucas Antonio
dc.contributor.funderAgencia Estatal de Investigaciónes_ES
dc.date.accessioned2021-02-20T04:31:17Z
dc.date.available2021-02-20T04:31:17Z
dc.date.issued2020-09-30es_ES
dc.description.abstract[EN] The two-phase Stefan problems with phase formation and depletion are special cases ofmoving boundary problemswith interest in science and industry. In this work, we study a solidification problem, introducing a front-fixing transformation. The resulting non-linear partial differential system involves singularities, both at the beginning of the freezing process and when the depletion is complete, that are treated with special attention in the numerical modelling. The problem is decomposed in three stages, in which implicit and explicit finite difference schemes are used. Numerical analysis reveals qualitative properties of the numerical solution spatial monotonicity of both solid and liquid temperatures and the evolution of the solidification front. Numerical experiments illustrate the behaviour of the temperatures profiles with time, as well as the dynamics of the solidification front.en_EN
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationPiqueras, MA.; Company Rossi, R.; Jódar Sánchez, LA. (2020). Solving two-phase freezing Stefan problems: Stability and monotonicity. Mathematical Methods in the Applied Sciences. 43(14):7948-7960. https://doi.org/10.1002/mma.5787es_ES
dc.description.issue14es_ES
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dc.description.sponsorshipMinisterio de Ciencia, Innovacion y Universidades, Grant/Award Number: MTM2017-89664-P.es_ES
dc.description.upvformatpfin7960es_ES
dc.description.upvformatpinicio7948es_ES
dc.description.volume43es_ES
dc.identifier.doi10.1002/mma.5787es_ES
dc.identifier.issn0170-4214es_ES
dc.identifier.urihttps://riunet.upv.es/handle/10251/161982
dc.languageIngléses_ES
dc.publisherJohn Wiley & Sonses_ES
dc.relation.ispartofMathematical Methods in the Applied Scienceses_ES
dc.relation.pasarelaS\416903es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-89664-P/ES/PROBLEMAS DINAMICOS CON INCERTIDUMBRE SIMULABLE: MODELIZACION MATEMATICA, ANALISIS, COMPUTACION Y APLICACIONES/es_ES
dc.relation.publisherversionhttps://doi.org/10.1002/mma.5787es_ES
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dc.rightsReserva de todos los derechoses_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectFinite difference methodses_ES
dc.subjectNon-linear partial differential systemes_ES
dc.subjectNumerical analysises_ES
dc.subjectNumerical modellinges_ES
dc.subjectTwo-phase Stefan problemes_ES
dc.subject.classificationMATEMATICA APLICADAes_ES
dc.titleSolving two-phase freezing Stefan problems: Stability and monotonicityes_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
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