Please use this identifier to cite or link to this item: http://hdl.handle.net/11422/8385
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dc.contributor.authorCotta, Renato Machado-
dc.contributor.authorNaveira-Cotta, Carolina Palma-
dc.contributor.authorKnupp, Diego Campos-
dc.contributor.authorZotin, José Luiz Zanon-
dc.contributor.authorPontes, Péricles Crisiron-
dc.contributor.authorAlmeida, Anderson Pereira de-
dc.date.accessioned2019-06-10T14:33:22Z-
dc.date.available2023-12-21T03:05:57Z-
dc.date.issued2017-10-24-
dc.identifier.issn1432-1181pt_BR
dc.identifier.urihttp://hdl.handle.net/11422/8385-
dc.description.abstractAn unifying overview of the Generalized Integral Transform Technique (GITT) as a computational-analytical approach for solving convection-diffusion problems is presented. This work is aimed at bringing together some of the most recent developments on both accuracy and convergence improvements on this well-established hybrid numerical-analytical methodology for partial differential equations. Special emphasis is given to novel algorithm implementations, all directly connected to enhancing the eigenfunction expansion basis, such as a single domain reformulation strategy for handling complex geometries, an integral balance scheme in dealing with multiscale problems, the adoption of convective eigenvalue problems in formulations with significant convection effects, and the direct integral transformation of nonlinear convection-diffusion problems based on nonlinear eigenvalue problems. Then, selected examples are presented that illustrate the improvement achieved in each class of extension, in terms of convergence acceleration and accuracy gain, which are related to conjugated heat transfer in complex or multiscale microchannel-substrate geometries, multidimensional Burgers equation model, and diffusive metal extraction through polymeric hollow fiber membranes. Numerical results are reported for each application and, where appropriate, critically compared against the traditional GITT scheme without convergence enhancement schemes and commercial or dedicated purely numerical approaches.en
dc.languageengpt_BR
dc.publisherSpringer Verlagpt_BR
dc.relation.ispartofHeat and Mass Transferen
dc.rightsAcesso Abertopt_BR
dc.subjectGeneralized Integral Transform Techniqueen
dc.subjectComputational-analytical approachen
dc.subjectConvection-diffusion problemsen
dc.titleRecent advances in computational-analytical integral transforms for convection-diffusion problemsen
dc.typeArtigopt_BR
dc.identifier.doi10.1007/s00231-017-2186-1pt_BR
dc.description.resumoIndisponível.pt_BR
dc.publisher.countryBrasilpt_BR
dc.publisher.departmentNúcleo Interdisciplinar de Dinâmica dos Fluidospt_BR
dc.subject.cnpqCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSpt_BR
dc.citation.volume54pt_BR
dc.citation.issue8pt_BR
dc.citation.spage2475pt_BR
dc.citation.epage2496pt_BR
dc.embargo.terms365 diaspt_BR
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