Hierarchical expansion method in the solution of the Navier-Stokes Equations for incompressible fluids in laminar two-dimensional flow

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dc.contributor.authorSABUNDJIAN, GAIANE
dc.contributor.authorCONTI, THADEU das N.
dc.contributor.authorCABRAL, EDUARDO L.L.
dc.coverageInternacionalpt_BR
dc.date.accessioned2018-07-31T11:10:15Z
dc.date.available2018-07-31T11:10:15Z
dc.date.issued2018pt_BR
dc.description.abstractAmong the several methods used to solve the Navier-Stokes equations Hierarchical Expansion Method has demonstrated satisfactory results. This work aimed to apply the expansion of the variables in hierarchical functions for the solution of the Navier-Stokes equations for incompressible fluids in two dimensions in laminar flow. This method is based on the finite element method. The expansion functions in this study were based on Legendre polynomials, adjusted in the rectangular elements in such a way that corner, side and area functions were defined. The order of the expansion functions associated with the sides and with the area of the elements is adjusted to the necessary or desired degree. This method is denominated by Hierarchical Expansion Method. In order to validate the proposed numeric method three well-known problems of the literature in two dimensions were analyzed; however, for this paper only one problem was presented. The results demonstrated that method was able to provide precise results. From the results obtained in this paper it is possible to conclude that the hierarchical expansion method can be effective for the solution of fluid dynamic problems that involve incompressible fluids.pt_BR
dc.format.extent1-9pt_BR
dc.identifier.citationSABUNDJIAN, GAIANE; CONTI, THADEU das N.; CABRAL, EDUARDO L.L. Hierarchical expansion method in the solution of the Navier-Stokes Equations for incompressible fluids in laminar two-dimensional flow. <b>Energy and Power Engineering</b>, v. 10, n. 1, p. 1-9, 2018. DOI: <a href="https://dx.doi.org/10.4236/epe.2018.101001">10.4236/epe.2018.101001</a>. Disponível em: http://repositorio.ipen.br/handle/123456789/28997.
dc.identifier.doi10.4236/epe.2018.101001pt_BR
dc.identifier.fasciculo1pt_BR
dc.identifier.issn1949-243Xpt_BR
dc.identifier.orcidhttps://orcid.org/0000-0001-6155-0637
dc.identifier.orcidhttps://orcid.org/0000-0001-9544-4509
dc.identifier.percentilfiSem Percentilen
dc.identifier.percentilfiCiteScoreSem Percentil CiteScore
dc.identifier.urihttp://repositorio.ipen.br/handle/123456789/28997
dc.identifier.vol10pt_BR
dc.relation.ispartofEnergy and Power Engineeringpt_BR
dc.rightsopenAccesspt_BR
dc.subjectincompressible flow
dc.subjectlaminar flow
dc.subjectnavier-stokes equations
dc.subjectlegendre polynomials
dc.subjectfinite element method
dc.subjectgalerkin-petrov method
dc.titleHierarchical expansion method in the solution of the Navier-Stokes Equations for incompressible fluids in laminar two-dimensional flowpt_BR
dc.typeArtigo de periódicopt_BR
dspace.entity.typePublication
ipen.autorEDUARDO LOBO LUSTOSA CABRAL
ipen.autorTHADEU DAS NEVES CONTI
ipen.autorGAIANE SABUNDJIAN
ipen.codigoautor496
ipen.codigoautor284
ipen.codigoautor202
ipen.contributor.ipenauthorEDUARDO LOBO LUSTOSA CABRAL
ipen.contributor.ipenauthorTHADEU DAS NEVES CONTI
ipen.contributor.ipenauthorGAIANE SABUNDJIAN
ipen.date.recebimento18-07pt_BR
ipen.identifier.fiSem F.I.pt_BR
ipen.identifier.fiCiteScoreSem CiteScore
ipen.identifier.ipendoc24784pt_BR
ipen.type.genreArtigo
relation.isAuthorOfPublicationde87f375-d22e-4af7-82ec-48091108be70
relation.isAuthorOfPublication2869c5cc-3f1b-4f1b-93e5-74c96982be93
relation.isAuthorOfPublication915b9343-9eaf-4b03-b709-85699f77b71c
relation.isAuthorOfPublication.latestForDiscovery915b9343-9eaf-4b03-b709-85699f77b71c
sigepi.autor.atividadeSABUNDJIAN, GAIANE:202:420:Spt_BR
sigepi.autor.atividadeCONTI, THADEU DAS N.:284:420:Npt_BR
sigepi.autor.atividadeCABRAL, EDUARDO L.L.:496:420:Npt_BR
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