Enhanced convergence of eigenfunction expansions in convection-diffusion with multiscale space variable coefficients

Detalhes bibliográficos
Autor(a) principal: Cotta, Renato Machado
Data de Publicação: 2016
Outros Autores: Naveira-Cotta, Carolina Palma, Knupp, Diego Campos
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/8418
Resumo: Indisponível.
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spelling Cotta, Renato MachadoNaveira-Cotta, Carolina PalmaKnupp, Diego Campos2019-06-11T16:19:03Z2023-11-30T03:03:31Z2016-07-131040-7782http://hdl.handle.net/11422/841810.1080/10407782.2016.1177342Indisponível.A convergence enhancement technique known as the integral balance approach is employed in combination with the Generalized Integral Transform Technique (GITT) for solving diffusion or convection-diffusion problems in physical domains with subregions of markedly different materials properties and/or spatial scales. GITT is employed in the solution of the differential eigenvalue problem with space variable coefficients, by adopting simpler auxiliary eigenproblems for the eigenfunction representation. The examples provided deal with heat conduction in heterogeneous media and forced convection in a microchannel embedded in a substrate. The convergence characteristics of the proposed novel solution are critically compared against the conventional approach through integral transforms without the integral balance enhancement, with the aid of fully converged results from the available exact solutions.Submitted by Jairo Amaro (jairo.amaro@sibi.ufrj.br) on 2019-06-11T16:19:03Z No. of bitstreams: 1 2-2016_Enhanced-convergence-of-eigenfunction-min.pdf: 751335 bytes, checksum: 744aa10db69d887f4857741f83483b3f (MD5)Made available in DSpace on 2019-06-11T16:19:03Z (GMT). No. of bitstreams: 1 2-2016_Enhanced-convergence-of-eigenfunction-min.pdf: 751335 bytes, checksum: 744aa10db69d887f4857741f83483b3f (MD5) Previous issue date: 2016-07-13engTaylor & FrancisBrasilNúcleo Interdisciplinar de Dinâmica dos FluidosNumerical Heat Transfer, Part A ApplicationsCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSHeat flowFluid flowGeneralized Integral Transform TechniqueMathematical MethodEnhanced convergence of eigenfunction expansions in convection-diffusion with multiscale space variable coefficientsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article705492512abertoinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJORIGINAL2-2016_Enhanced-convergence-of-eigenfunction-min.pdf2-2016_Enhanced-convergence-of-eigenfunction-min.pdfapplication/pdf751335http://pantheon.ufrj.br:80/bitstream/11422/8418/1/2-2016_Enhanced-convergence-of-eigenfunction-min.pdf744aa10db69d887f4857741f83483b3fMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81853http://pantheon.ufrj.br:80/bitstream/11422/8418/2/license.txtdd32849f2bfb22da963c3aac6e26e255MD5211422/84182023-11-30 00:03:31.124oai: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 Enhanced convergence of eigenfunction expansions in convection-diffusion with multiscale space variable coefficients
title Enhanced convergence of eigenfunction expansions in convection-diffusion with multiscale space variable coefficients
spellingShingle Enhanced convergence of eigenfunction expansions in convection-diffusion with multiscale space variable coefficients
Cotta, Renato Machado
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Heat flow
Fluid flow
Generalized Integral Transform Technique
Mathematical Method
title_short Enhanced convergence of eigenfunction expansions in convection-diffusion with multiscale space variable coefficients
title_full Enhanced convergence of eigenfunction expansions in convection-diffusion with multiscale space variable coefficients
title_fullStr Enhanced convergence of eigenfunction expansions in convection-diffusion with multiscale space variable coefficients
title_full_unstemmed Enhanced convergence of eigenfunction expansions in convection-diffusion with multiscale space variable coefficients
title_sort Enhanced convergence of eigenfunction expansions in convection-diffusion with multiscale space variable coefficients
author Cotta, Renato Machado
author_facet Cotta, Renato Machado
Naveira-Cotta, Carolina Palma
Knupp, Diego Campos
author_role author
author2 Naveira-Cotta, Carolina Palma
Knupp, Diego Campos
author2_role author
author
dc.contributor.author.fl_str_mv Cotta, Renato Machado
Naveira-Cotta, Carolina Palma
Knupp, Diego Campos
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
Heat flow
Fluid flow
Generalized Integral Transform Technique
Mathematical Method
dc.subject.eng.fl_str_mv Heat flow
Fluid flow
Generalized Integral Transform Technique
Mathematical Method
description Indisponível.
publishDate 2016
dc.date.issued.fl_str_mv 2016-07-13
dc.date.accessioned.fl_str_mv 2019-06-11T16:19:03Z
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/11422/8418
dc.identifier.issn.pt_BR.fl_str_mv 1040-7782
dc.identifier.doi.pt_BR.fl_str_mv 10.1080/10407782.2016.1177342
identifier_str_mv 1040-7782
10.1080/10407782.2016.1177342
url http://hdl.handle.net/11422/8418
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.en.fl_str_mv Numerical Heat Transfer, Part A Applications
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Taylor & Francis
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Núcleo Interdisciplinar de Dinâmica dos Fluidos
publisher.none.fl_str_mv Taylor & Francis
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/11422/8418/1/2-2016_Enhanced-convergence-of-eigenfunction-min.pdf
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repository.name.fl_str_mv Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)
repository.mail.fl_str_mv
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