Recent advances in computational-analytical integral transforms for convection-diffusion problems

Detalhes bibliográficos
Autor(a) principal: Cotta, Renato Machado
Data de Publicação: 2017
Outros Autores: Naveira-Cotta, Carolina Palma, Knupp, Diego Campos, Zotin, Jose Luiz Zanon, Pontes, Péricles Crisiron, Almeida, Anderson Pereira de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/8385
Resumo: Indisponível.
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spelling Cotta, Renato MachadoNaveira-Cotta, Carolina PalmaKnupp, Diego CamposZotin, Jose Luiz ZanonPontes, Péricles CrisironAlmeida, Anderson Pereira de2019-06-10T14:33:22Z2023-11-30T03:03:29Z2017-10-241432-1181http://hdl.handle.net/11422/838510.1007/s00231-017-2186-1Indisponível.An 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.Submitted by Jairo Amaro (jairo.amaro@sibi.ufrj.br) on 2019-06-10T14:33:21Z No. of bitstreams: 1 5-2017_Recent-advances-in-computational-analytical-min.pdf: 745283 bytes, checksum: a8ef855693d420b169f661fc57113064 (MD5)Made available in DSpace on 2019-06-10T14:33:22Z (GMT). No. of bitstreams: 1 5-2017_Recent-advances-in-computational-analytical-min.pdf: 745283 bytes, checksum: a8ef855693d420b169f661fc57113064 (MD5) Previous issue date: 2017-10-24engSpringer VerlagBrasilNúcleo Interdisciplinar de Dinâmica dos FluidosHeat and Mass TransferCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSGeneralized Integral Transform TechniqueComputational-analytical approachConvection-diffusion problemsRecent advances in computational-analytical integral transforms for convection-diffusion problemsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article54824752496365 diasinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJORIGINAL5-2017_Recent-advances-in-computational-analytical-min.pdf5-2017_Recent-advances-in-computational-analytical-min.pdfapplication/pdf745283http://pantheon.ufrj.br:80/bitstream/11422/8385/1/5-2017_Recent-advances-in-computational-analytical-min.pdfa8ef855693d420b169f661fc57113064MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81853http://pantheon.ufrj.br:80/bitstream/11422/8385/2/license.txtdd32849f2bfb22da963c3aac6e26e255MD5211422/83852023-11-30 00:03:29.46oai:pantheon.ufrj.br:11422/8385TElDRU7Dh0EgTsODTy1FWENMVVNJVkEgREUgRElTVFJJQlVJw4fDg08KCkFvIGFzc2luYXIgZSBlbnRyZWdhciBlc3RhIGxpY2Vuw6dhLCB2b2PDqihzKSBvKHMpIGF1dG9yKGVzKSBvdSBwcm9wcmlldMOhcmlvKHMpIGRvcyBkaXJlaXRvcyBhdXRvcmFpcyBjb25jZWRlKG0pIGFvIFJlcG9zaXTDs3JpbyBQYW50aGVvbiBkYSBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkbyBSaW8gZGUgSmFuZWlybyAoVUZSSikgbyBkaXJlaXRvIG7Do28gLSBleGNsdXNpdm8gZGUgcmVwcm9kdXppciwgY29udmVydGVyIChjb21vIGRlZmluaWRvIGFiYWl4byksIGUvb3UgZGlzdHJpYnVpciBvIGRvY3VtZW50byBlbnRyZWd1ZSAoaW5jbHVpbmRvIG8gcmVzdW1vKSBlbSB0b2RvIG8gbXVuZG8sIGVtIGZvcm1hdG8gZWxldHLDtG5pY28gZSBlbSBxdWFscXVlciBtZWlvLCBpbmNsdWluZG8sIG1hcyBuw6NvIGxpbWl0YWRvIGEgw6F1ZGlvIGUvb3UgdsOtZGVvLgoKVm9jw6ogY29uY29yZGEgcXVlIGEgVUZSSiBwb2RlLCBzZW0gYWx0ZXJhciBvIGNvbnRlw7pkbywgdHJhZHV6aXIgYSBhcHJlc2VudGHDp8OjbyBkZSBxdWFscXVlciBtZWlvIG91IGZvcm1hdG8gY29tIGEgZmluYWxpZGFkZSBkZSBwcmVzZXJ2YcOnw6NvLgoKVm9jw6ogdGFtYsOpbSBjb25jb3JkYSBxdWUgYSBVRlJKIHBvZGUgbWFudGVyIG1haXMgZGUgdW1hIGPDs3BpYSBkZXNzYSBzdWJtaXNzw6NvIHBhcmEgZmlucyBkZSBzZWd1cmFuw6dhLCBiYWNrLXVwIGUgcHJlc2VydmHDp8OjbyBkaWdpdGFsLgoKRGVjbGFyYSBxdWUgbyBkb2N1bWVudG8gZW50cmVndWUgw6kgc2V1IHRyYWJhbGhvIG9yaWdpbmFsLCBlIHF1ZSB2b2PDqiB0ZW0gbyBkaXJlaXRvIGRlIGNvbmNlZGVyIG9zIGRpcmVpdG9zIGNvbnRpZG9zIG5lc3RhIGxpY2Vuw6dhLiBWb2PDqiB0YW1iw6ltIGRlY2xhcmEgcXVlIGEgc3VhIGFwcmVzZW50YcOnw6NvLCBjb20gbyBtZWxob3IgZGUgc2V1cyBjb25oZWNpbWVudG9zLCBuw6NvIGluZnJpbmdpIGRpcmVpdG9zIGF1dG9yYWlzIGRlIHRlcmNlaXJvcy4KClNlIG8gZG9jdW1lbnRvIGVudHJlZ3VlIGNvbnTDqW0gbWF0ZXJpYWwgZG8gcXVhbCB2b2PDqiBuw6NvIHRlbSBkaXJlaXRvcyBkZSBhdXRvciwgZGVjbGFyYSBxdWUgb2J0ZXZlIGEgcGVybWlzc8OjbyBpcnJlc3RyaXRhIGRvIGRldGVudG9yIGRvcyBkaXJlaXRvcyBhdXRvcmFpcyBlIGNvbmNlZGUgYSBVRlJKIG9zIGRpcmVpdG9zIHJlcXVlcmlkb3MgcG9yIGVzdGEgbGljZW7Dp2EsIGUgcXVlIGVzc2UgbWF0ZXJpYWwgZGUgcHJvcHJpZWRhZGUgZGUgdGVyY2Vpcm9zIGVzdMOhIGNsYXJhbWVudGUgaWRlbnRpZmljYWRvIGUgcmVjb25oZWNpZG8gbm8gdGV4dG8gb3UgY29udGXDumRvIGRhIHN1Ym1pc3PDo28uCgpTZSBvIGRvY3VtZW50byBlbnRyZWd1ZSDDqSBiYXNlYWRvIGVtIHRyYWJhbGhvIHF1ZSBmb2ksIG91IHRlbSBzaWRvIHBhdHJvY2luYWRvIG91IGFwb2lhZG8gcG9yIHVtYSBhZ8OqbmNpYSBvdSBvdXRybyhzKSBvcmdhbmlzbW8ocykgcXVlIG7Do28gYSBVRlJKLCB2b2PDqiBkZWNsYXJhIHF1ZSBjdW1wcml1IHF1YWxxdWVyIGRpcmVpdG8gZGUgUkVWSVPDg08gb3UgZGUgb3V0cmFzIG9icmlnYcOnw7VlcyByZXF1ZXJpZGFzIHBvciBjb250cmF0byBvdSBhY29yZG8uCgpBIFVGUkogaXLDoSBpZGVudGlmaWNhciBjbGFyYW1lbnRlIG8ocykgc2V1KHMpIG5vbWUocykgY29tbyBhdXRvcihlcykgb3UgcHJvcHJpZXTDoXJpbyhzKSBkYSBzdWJtaXNzw6NvLCBlIG7Do28gZmFyw6EgcXVhbHF1ZXIgYWx0ZXJhw6fDo28sIHBhcmEgYWzDqW0gZGFzIHBlcm1pdGlkYXMgcG9yIGVzdGEgbGljZW7Dp2EsIG5vIGF0byBkZSBzdWJtaXNzw6NvLgo=Repositório de PublicaçõesPUBhttp://www.pantheon.ufrj.br/oai/requestopendoar:2023-11-30T03:03:29Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.en.fl_str_mv Recent advances in computational-analytical integral transforms for convection-diffusion problems
title Recent advances in computational-analytical integral transforms for convection-diffusion problems
spellingShingle Recent advances in computational-analytical integral transforms for convection-diffusion problems
Cotta, Renato Machado
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Generalized Integral Transform Technique
Computational-analytical approach
Convection-diffusion problems
title_short Recent advances in computational-analytical integral transforms for convection-diffusion problems
title_full Recent advances in computational-analytical integral transforms for convection-diffusion problems
title_fullStr Recent advances in computational-analytical integral transforms for convection-diffusion problems
title_full_unstemmed Recent advances in computational-analytical integral transforms for convection-diffusion problems
title_sort Recent advances in computational-analytical integral transforms for convection-diffusion problems
author Cotta, Renato Machado
author_facet Cotta, Renato Machado
Naveira-Cotta, Carolina Palma
Knupp, Diego Campos
Zotin, Jose Luiz Zanon
Pontes, Péricles Crisiron
Almeida, Anderson Pereira de
author_role author
author2 Naveira-Cotta, Carolina Palma
Knupp, Diego Campos
Zotin, Jose Luiz Zanon
Pontes, Péricles Crisiron
Almeida, Anderson Pereira de
author2_role author
author
author
author
author
dc.contributor.author.fl_str_mv Cotta, Renato Machado
Naveira-Cotta, Carolina Palma
Knupp, Diego Campos
Zotin, Jose Luiz Zanon
Pontes, Péricles Crisiron
Almeida, Anderson Pereira de
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
topic CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Generalized Integral Transform Technique
Computational-analytical approach
Convection-diffusion problems
dc.subject.eng.fl_str_mv Generalized Integral Transform Technique
Computational-analytical approach
Convection-diffusion problems
description Indisponível.
publishDate 2017
dc.date.issued.fl_str_mv 2017-10-24
dc.date.accessioned.fl_str_mv 2019-06-10T14:33:22Z
dc.date.available.fl_str_mv 2023-11-30T03:03:29Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/11422/8385
dc.identifier.issn.pt_BR.fl_str_mv 1432-1181
dc.identifier.doi.pt_BR.fl_str_mv 10.1007/s00231-017-2186-1
identifier_str_mv 1432-1181
10.1007/s00231-017-2186-1
url http://hdl.handle.net/11422/8385
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.en.fl_str_mv Heat and Mass Transfer
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer Verlag
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Núcleo Interdisciplinar de Dinâmica dos Fluidos
publisher.none.fl_str_mv Springer Verlag
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRJ
instname:Universidade Federal do Rio de Janeiro (UFRJ)
instacron:UFRJ
instname_str Universidade Federal do Rio de Janeiro (UFRJ)
instacron_str UFRJ
institution UFRJ
reponame_str Repositório Institucional da UFRJ
collection Repositório Institucional da UFRJ
bitstream.url.fl_str_mv http://pantheon.ufrj.br:80/bitstream/11422/8385/1/5-2017_Recent-advances-in-computational-analytical-min.pdf
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