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https://hdl.handle.net/1822/35092
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Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Costa, Ricardo Daniel Pereira | por |
dc.contributor.author | Clain, Stéphane | por |
dc.contributor.author | Machado, Gaspar J. | por |
dc.date.accessioned | 2015-05-08T11:14:06Z | - |
dc.date.available | 2015-05-08T11:14:06Z | - |
dc.date.issued | 2015 | - |
dc.identifier.uri | https://hdl.handle.net/1822/35092 | - |
dc.description.abstract | A new solver for the Stokes equations based on the finite volume method is proposed using very accurate polynomial reconstruction to provide a 6th-order scheme. We face two main difficulties: the gradient-divergence duality where the divergence free condition will impose the pressure gradient, and on the other hand, we assume that the domain has a regular curved boundary. The last point implies that a simple approximation of the boundary using piecewise segment lines dramatically reduces the scheme accuracy to at most a second-order one. We propose a new and simple technology which enables to restore the full scheme accuracy based on a specific polynomial reconstruction only using the Gauss points of the curved boundary and does not require any geometrical transformation. | por |
dc.description.sponsorship | Fundação para a Ciência e a Tecnologia (FCT) | por |
dc.description.sponsorship | This research was financed by FEDER Funds through Programa Operational Fatores de Competitividade — COMPETE and by Portuguese Funds FCT — Fundação para a Ciência e a Tecnologia, within the Projects PEst-C/MAT/UI0013/2014, PTDC/MAT/121185/2010 and FCT-ANR/MAT-NAN/0122/2012 | por |
dc.language.iso | eng | por |
dc.publisher | Associação Portuguesa de Mecânica Teórica, Aplicada e Computacional (APMTAC) | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876-PPCDTI/121185/PT | - |
dc.relation | info:eu-repo/grantAgreement/FCT/3599-PPCDT/124734/PT | - |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/135888/PT | - |
dc.rights | openAccess | por |
dc.subject | finite volume | por |
dc.subject | sixth-order approximation | por |
dc.subject | Stokes equation | por |
dc.subject | curved boundary | por |
dc.title | 6th-order finite volume approximations for the stokes equations with a curved boundary | por |
dc.type | conferencePaper | - |
dc.peerreviewed | yes | por |
sdum.publicationstatus | published | por |
oaire.citationConferenceDate | 26 Mar. - 27 Mar. 2015 | por |
sdum.event.type | conference | por |
oaire.citationStartPage | 365 | por |
oaire.citationEndPage | 382 | por |
oaire.citationConferencePlace | Faro, Portugal | por |
oaire.citationTitle | 2nd International Conference on Numerical and Symbolic Computation: Developments and Applications - SYMCOMP2015 | por |
dc.subject.fos | Ciências Naturais::Matemáticas | por |
sdum.conferencePublication | 2nd International Conference on Numerical and Symbolic Computation: Developments and Applications - SYMCOMP2015 | por |
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Ficheiro | Descrição | Tamanho | Formato | |
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CCM-symcomp15.pdf | 683,7 kB | Adobe PDF | Ver/Abrir |