A New Stabilised Finite Element Method for the Darcy-Forchheimer Model

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UDC.coleccionInvestigación
UDC.departamentoMatemáticas
UDC.grupoInvModelos e Métodos Numéricos en Enxeñaría e Ciencias Aplicadas (M2NICA)
UDC.institutoCentroCITIC - Centro de Investigación de Tecnoloxías da Información e da Comunicación
UDC.journalTitleJournal of Computational and Applied Mathematics
UDC.startPage118137
UDC.volume493
dc.contributor.authorBarrenechea, G.R.
dc.contributor.authorGonzález Taboada, María
dc.contributor.authorHecht, Frédéric
dc.contributor.authorVarela Rodríguez, Hiram
dc.date.accessioned2026-09-29T07:18:04Z
dc.date.available2026-09-29T07:18:04Z
dc.date.issued2027-03-15
dc.descriptionFinanciado para publicación en acceso aberto: Universidade da Coruña/CISUG
dc.description.abstract[Abstract] In this paper, we propose a new stabilised finite element method for the Darcy-Forchheimer model based on the jump stabilisation technique. We prove the well-posedness of the discrete scheme and develop an a priori error analysis. We provide two academic examples that support the theory and study the effect of the Forchheimer number on convergence. Finally, we adapt the method to solve the coupling of the Darcy-Forchheimer model with a heat equation and provide several numerical experiments, including an application to the simulation of wood drying and a three-dimensional example.
dc.description.sponsorshipM.G. and H.V. acknowledge support from the Spanish Ministerio de Ciencia e Innovación and Xunta de Galicia through grants PID2023-150390OB-I00 and Ayuda de Grupos de Referencia Competitiva ED431C 2022/47, respectively. H.V. also acknowledges support from the Spanish Ministerio de Educación through grant FPU18/06125. Funding for open access charge is acknowledged to Universidade da Coruña/CISUG.
dc.description.sponsorshipXunta de Galicia; ED431C 2022/47
dc.identifier.citationBarrenechea, G.R. ; González Taboada, M.; Hecht, F.; and Varela, H., "A New Stabilised Finite Element Method for the Darcy-Forchheimer Model", Journal of Computational and Applied Mathematics, Vol. 493, 15 March 2027, 118137, https://doi.org/10.1016/j.cam.2026.118137
dc.identifier.doi10.1016/j.cam.2026.118137
dc.identifier.issn1879-1778
dc.identifier.urihttps://hdl.handle.net/2183/49493
dc.language.isoeng
dc.publisherElsevier
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2023-150390OB-I00/ES/TECNICAS NUMERICAS PREDICTIVAS BASADAS EN MODELOS DE MULTIFISICA PARA LA MONITORIZACION DE ACUIFEROS
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/FPU18%2F06125/ES/
dc.relation.urihttps://doi.org/10.1016/j.cam.2026.118137
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectDarcy-Forchheimer
dc.subjectStabilised finite element method
dc.subjectDivergence-free discrete velocity
dc.titleA New Stabilised Finite Element Method for the Darcy-Forchheimer Model
dc.typejournal article
dc.type.hasVersionVoR
dspace.entity.typePublication
relation.isAuthorOfPublication0297067b-d946-4ca7-a145-b81432bb84e1
relation.isAuthorOfPublication61cefc98-f05e-470b-be21-bd4056d66e81
relation.isAuthorOfPublication.latestForDiscovery0297067b-d946-4ca7-a145-b81432bb84e1

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