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Continuous/discontinuous finite element approximation of a 2d navier-stokes problem arising in fluid confinement

2024-06Journal article Restricted access
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dc.contributor.authorBorges de Oliveira, Hermenegildo
dc.contributor.authorLopes, Nuno David
dc.date.accessioned2025-01-30T11:21:57Z
dc.date.available2025-01-30T11:21:57Z
dc.date.issued2024-06
dc.description.abstractIn this work, a stationary 2d Navier-Stokes problem with nonlinear feedback forces field is considered in the stream -function formulation. We use the Continuous/Discontinuous Finite Element Method (CD-FEM), with interior penalty terms, to numerically solve the associated boundary -value problem. For the associated continuous and discrete problems, we prove the existence of weak solutions and establish the conditions for their uniqueness. Consistency, stability and convergence of the method are also shown analytically. To validate the numerical model regarding its applicability and robustness, several test cases are carried out.eng
dc.identifier.doi10.4208/ijnam2024-1013
dc.identifier.eissn2617-8710
dc.identifier.issn1705-5105
dc.identifier.urihttp://hdl.handle.net/10400.1/26701
dc.language.isoeng
dc.peerreviewedyes
dc.publisherGlobal Science Press
dc.relationCenter for Computational and Stochastic Mathematics
dc.relationCenter for Computational and Stochastic Mathematics
dc.relation.ispartofInternational Journal of Numerical Analysis and Modeling
dc.rights.uriN/A
dc.subject2d Navier-Stokes
dc.subjectFeedback forces
dc.subjectCD-FEM
dc.subjectExistence and uniqueness
dc.subjectConsistency and stability
dc.subjectError analysis
dc.titleContinuous/discontinuous finite element approximation of a 2d navier-stokes problem arising in fluid confinementeng
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Computational and Stochastic Mathematics
oaire.awardTitleCenter for Computational and Stochastic Mathematics
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04621%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F04621%2F2020/PT
oaire.citation.endPage352
oaire.citation.issue3
oaire.citation.startPage315
oaire.citation.titleInternational Journal of Numerical Analysis and Modeling
oaire.citation.volume21
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameBorges de Oliveira
person.givenNameHermenegildo
person.identifier.ciencia-id4A15-7156-6A00
person.identifier.orcid0000-0001-9053-8442
person.identifier.ridF-3186-2014
person.identifier.scopus-author-id7004475473
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
relation.isAuthorOfPublication6f0df0e9-24bf-43d5-97b3-4a709a59e2b5
relation.isAuthorOfPublication.latestForDiscovery6f0df0e9-24bf-43d5-97b3-4a709a59e2b5
relation.isProjectOfPublication876a2628-7096-425d-9332-1393c0407c8e
relation.isProjectOfPublication8d4cc19d-12bd-471a-b0bb-dbc7c3e2e81f
relation.isProjectOfPublication.latestForDiscovery876a2628-7096-425d-9332-1393c0407c8e

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