Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/47496

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dc.contributor.authorCosta, Ricardopor
dc.contributor.authorClain, Stéphanepor
dc.contributor.authorMachado, Gaspar J.por
dc.date.accessioned2017-11-17T10:32:14Z-
dc.date.issued2017-11-15-
dc.identifier.issn0021-9991por
dc.identifier.urihttp://hdl.handle.net/1822/47496-
dc.description.abstractWe propose a new sixth-order finite volume scheme to solve the bidimensional linear steady-state Stokes problem on staggered unstructured meshes and complex geometries. The method is based on several classes of polynomial reconstructions to accurately evaluate the diffusive fluxes, the pressure gradient, and the velocity divergence. The main difficulty is to handle the div-grad duality to avoid numerical locking and oscillations. A new preconditioning technique based on the construction of a pseudo-inverse matrix is also proposed to dramatically reduce the computational effort. Several numerical simulations are carried out to highlight the performance of the new method.por
dc.description.sponsorshipThis research was financed by FEDER Funds through Programa Operational Fatores de Competitividade - COMPETE and by Portuguese Funds FCT - Fundacao para a Ciencia e a Tecnologia, within the Projects PEstC/MAT/UI0013/2014 and FCT-ANR/MAT-NAN/0122/2012.por
dc.language.isoengpor
dc.publisherAcademic Press Incpor
dc.relationPEst-C/MAT/UI0013/2014por
dc.relationinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/124734/PTpor
dc.rightsclosedAccesspor
dc.subjectStokes equationspor
dc.subjectIncompressible fluidpor
dc.subjectFinite volumepor
dc.subjectHigh-order schemepor
dc.subjectPreconditioningpor
dc.titleA sixth-order finite volume scheme for the steady-state incompressible Stokes equations on staggered unstructured meshespor
dc.typearticle-
dc.peerreviewedyespor
oaire.citationStartPage501por
oaire.citationEndPage527por
oaire.citationVolume349por
dc.date.updated2017-11-10T14:19:49Z-
dc.identifier.doi10.1016/j.jcp.2017.07.047por
dc.description.publicationversioninfo:eu-repo/semantics/publishedVersionpor
dc.subject.wosScience & Technology-
sdum.export.identifier1073-
sdum.journalJournal of Computational Physicspor
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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