Eigenfunction Expansions for Coupled Nonlinear Convection-Diffusion Problems in Complex Physical Domains

Detalhes bibliográficos
Autor(a) principal: Cotta, Renato Machado
Data de Publicação: 2016
Outros Autores: Naveira-Cotta, Carolina Palma, Knupp, Diego Campos, Zotin, José Luiz Zanon, Pontes, Péricles Crisiron
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/8421
Resumo: Indisponível.
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spelling Cotta, Renato MachadoNaveira-Cotta, Carolina PalmaKnupp, Diego CamposZotin, José Luiz ZanonPontes, Péricles Crisiron2019-06-11T16:43:06Z2023-11-30T03:03:31Z2016-04-061742-6588http://hdl.handle.net/11422/842110.1088/1742-6596/745/2/022001Indisponível.This lecture offers an updated review on the Generalized Integral Transform Technique (GITT), with focus on handling complex geometries, coupled problems, and nonlinear convection-diffusion, so as to illustrate some new application paradigms. Special emphasis is given to demonstrating novel developments, such as a single domain reformulation strategy that simplifies the treatment of complex geometries, an integral balance scheme in handling multiscale problems, the adoption of convective eigenvalue problems in dealing with strongly convective formulations, and the direct integral transformation of nonlinear convection-diffusion problems based on nonlinear eigenvalue problems. Representative application examples are then provided that employ recent extensions on the Generalized Integral Transform Technique (GITT), and a few numerical results are reported to illustrate the convergence characteristics of the proposed eigenfunction expansions.Submitted by Jairo Amaro (jairo.amaro@sibi.ufrj.br) on 2019-06-11T16:43:06Z No. of bitstreams: 1 4-2016_Eigenfunction-Expansions-for-Coupled-Nonlinear-min.pdf: 629323 bytes, checksum: 0be619821bb9cf5388c166fc0a4c013e (MD5)Made available in DSpace on 2019-06-11T16:43:06Z (GMT). No. of bitstreams: 1 4-2016_Eigenfunction-Expansions-for-Coupled-Nonlinear-min.pdf: 629323 bytes, checksum: 0be619821bb9cf5388c166fc0a4c013e (MD5) Previous issue date: 2016-04-06engIOP PublishingBrasilNúcleo Interdisciplinar de Dinâmica dos FluidosJournal of Physics: Conference SeriesCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSGeneralized Integral Transform TechniqueIntegral equationsNumerical-analytical methodEigenfunction Expansions for Coupled Nonlinear Convection-Diffusion Problems in Complex Physical Domainsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article745abertoinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJORIGINAL4-2016_Eigenfunction-Expansions-for-Coupled-Nonlinear-min.pdf4-2016_Eigenfunction-Expansions-for-Coupled-Nonlinear-min.pdfapplication/pdf629323http://pantheon.ufrj.br:80/bitstream/11422/8421/1/4-2016_Eigenfunction-Expansions-for-Coupled-Nonlinear-min.pdf0be619821bb9cf5388c166fc0a4c013eMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81853http://pantheon.ufrj.br:80/bitstream/11422/8421/2/license.txtdd32849f2bfb22da963c3aac6e26e255MD5211422/84212023-11-30 00:03:31.585oai:pantheon.ufrj.br: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Repositório de PublicaçõesPUBhttp://www.pantheon.ufrj.br/oai/requestopendoar:2023-11-30T03:03:31Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.en.fl_str_mv Eigenfunction Expansions for Coupled Nonlinear Convection-Diffusion Problems in Complex Physical Domains
title Eigenfunction Expansions for Coupled Nonlinear Convection-Diffusion Problems in Complex Physical Domains
spellingShingle Eigenfunction Expansions for Coupled Nonlinear Convection-Diffusion Problems in Complex Physical Domains
Cotta, Renato Machado
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Generalized Integral Transform Technique
Integral equations
Numerical-analytical method
title_short Eigenfunction Expansions for Coupled Nonlinear Convection-Diffusion Problems in Complex Physical Domains
title_full Eigenfunction Expansions for Coupled Nonlinear Convection-Diffusion Problems in Complex Physical Domains
title_fullStr Eigenfunction Expansions for Coupled Nonlinear Convection-Diffusion Problems in Complex Physical Domains
title_full_unstemmed Eigenfunction Expansions for Coupled Nonlinear Convection-Diffusion Problems in Complex Physical Domains
title_sort Eigenfunction Expansions for Coupled Nonlinear Convection-Diffusion Problems in Complex Physical Domains
author Cotta, Renato Machado
author_facet Cotta, Renato Machado
Naveira-Cotta, Carolina Palma
Knupp, Diego Campos
Zotin, José Luiz Zanon
Pontes, Péricles Crisiron
author_role author
author2 Naveira-Cotta, Carolina Palma
Knupp, Diego Campos
Zotin, José Luiz Zanon
Pontes, Péricles Crisiron
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Cotta, Renato Machado
Naveira-Cotta, Carolina Palma
Knupp, Diego Campos
Zotin, José Luiz Zanon
Pontes, Péricles Crisiron
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
Integral equations
Numerical-analytical method
dc.subject.eng.fl_str_mv Generalized Integral Transform Technique
Integral equations
Numerical-analytical method
description Indisponível.
publishDate 2016
dc.date.issued.fl_str_mv 2016-04-06
dc.date.accessioned.fl_str_mv 2019-06-11T16:43:06Z
dc.date.available.fl_str_mv 2023-11-30T03:03:31Z
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/11422/8421
dc.identifier.issn.pt_BR.fl_str_mv 1742-6588
dc.identifier.doi.pt_BR.fl_str_mv 10.1088/1742-6596/745/2/022001
identifier_str_mv 1742-6588
10.1088/1742-6596/745/2/022001
url http://hdl.handle.net/11422/8421
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.en.fl_str_mv Journal of Physics: Conference Series
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv IOP Publishing
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Núcleo Interdisciplinar de Dinâmica dos Fluidos
publisher.none.fl_str_mv IOP Publishing
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/11422/8421/1/4-2016_Eigenfunction-Expansions-for-Coupled-Nonlinear-min.pdf
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