Unified Integral Transforms Algorithm for Solving Multidimensional Nonlinear Convection-Diffusion Problems

Detalhes bibliográficos
Autor(a) principal: Cotta, Renato Machado
Data de Publicação: 2013
Outros Autores: Knupp, Diego Campos, Naveira-Cotta, Carolina Palma, Sphaier, Leandro Alcoforado, Quaresma, João Nazareno Nonato
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/8529
Resumo: Indisponível.
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spelling Cotta, Renato MachadoKnupp, Diego CamposNaveira-Cotta, Carolina PalmaSphaier, Leandro AlcoforadoQuaresma, João Nazareno Nonato2019-06-26T16:31:59Z2023-11-30T03:03:32Z2013-02-281040-7782http://hdl.handle.net/11422/852910.1080/10407782.2013.756763Indisponível.The present work summarizes the theory and describes the algorithm related to an open-source mixed symbolic-numerical computational code named unified integral transforms (UNIT) that provides a computational environment for finding hybrid numerical-analytical solutions of linear and nonlinear partial differential systems via integral transforms. The reported research was performed by employing the well-established methodology known as the generalized integral transform technique (GITT), together with the symbolic and numerical computation tools provided by the Mathematica system. The main purpose of this study is to illustrate the robust precision-controlled simulation of multidimensional nonlinear transient convection-diffusion problems, while providing a brief introduction of this open source implementation. Test cases are selected based on nonlinear multidimensional formulations of Burgers’ equation, with the establishment of reference results for specific numerical values of the governing parameters. Special aspects in the computational behavior of the algorithm are then discussed, demonstrating the implemented possibilities within the present version of the UNIT code, including the proposition of a progressive filtering strategy and a combined criteria reordering scheme, not previously discussed in related works, both aimed at convergence acceleration of the eigenfunction expansions.Submitted by Jairo Amaro (jairo.amaro@sibi.ufrj.br) on 2019-06-26T16:31:59Z No. of bitstreams: 1 2013_COTTA_v63-min.pdf: 434076 bytes, checksum: 968e669ae86f688cf1c21025bab2b412 (MD5)Made available in DSpace on 2019-06-26T16:31:59Z (GMT). No. of bitstreams: 1 2013_COTTA_v63-min.pdf: 434076 bytes, checksum: 968e669ae86f688cf1c21025bab2b412 (MD5) Previous issue date: 2013-02-28engTaylor & 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 FLUIDOSNumerical methodsConvection-diffusion problemsUnified integral transformsGeneralized integral transform techniqueUnified Integral Transforms Algorithm for Solving Multidimensional Nonlinear Convection-Diffusion Problemsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article6311840866365 diasinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJORIGINAL2013_COTTA_v63-min.pdf2013_COTTA_v63-min.pdfapplication/pdf434076http://pantheon.ufrj.br:80/bitstream/11422/8529/1/2013_COTTA_v63-min.pdf968e669ae86f688cf1c21025bab2b412MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81853http://pantheon.ufrj.br:80/bitstream/11422/8529/2/license.txtdd32849f2bfb22da963c3aac6e26e255MD5211422/85292023-11-30 00:03:32.182oai:pantheon.ufrj.br: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Repositório de PublicaçõesPUBhttp://www.pantheon.ufrj.br/oai/requestopendoar:2023-11-30T03:03:32Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.en.fl_str_mv Unified Integral Transforms Algorithm for Solving Multidimensional Nonlinear Convection-Diffusion Problems
title Unified Integral Transforms Algorithm for Solving Multidimensional Nonlinear Convection-Diffusion Problems
spellingShingle Unified Integral Transforms Algorithm for Solving Multidimensional Nonlinear Convection-Diffusion Problems
Cotta, Renato Machado
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Numerical methods
Convection-diffusion problems
Unified integral transforms
Generalized integral transform technique
title_short Unified Integral Transforms Algorithm for Solving Multidimensional Nonlinear Convection-Diffusion Problems
title_full Unified Integral Transforms Algorithm for Solving Multidimensional Nonlinear Convection-Diffusion Problems
title_fullStr Unified Integral Transforms Algorithm for Solving Multidimensional Nonlinear Convection-Diffusion Problems
title_full_unstemmed Unified Integral Transforms Algorithm for Solving Multidimensional Nonlinear Convection-Diffusion Problems
title_sort Unified Integral Transforms Algorithm for Solving Multidimensional Nonlinear Convection-Diffusion Problems
author Cotta, Renato Machado
author_facet Cotta, Renato Machado
Knupp, Diego Campos
Naveira-Cotta, Carolina Palma
Sphaier, Leandro Alcoforado
Quaresma, João Nazareno Nonato
author_role author
author2 Knupp, Diego Campos
Naveira-Cotta, Carolina Palma
Sphaier, Leandro Alcoforado
Quaresma, João Nazareno Nonato
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Cotta, Renato Machado
Knupp, Diego Campos
Naveira-Cotta, Carolina Palma
Sphaier, Leandro Alcoforado
Quaresma, João Nazareno Nonato
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
Numerical methods
Convection-diffusion problems
Unified integral transforms
Generalized integral transform technique
dc.subject.eng.fl_str_mv Numerical methods
Convection-diffusion problems
Unified integral transforms
Generalized integral transform technique
description Indisponível.
publishDate 2013
dc.date.issued.fl_str_mv 2013-02-28
dc.date.accessioned.fl_str_mv 2019-06-26T16:31:59Z
dc.date.available.fl_str_mv 2023-11-30T03:03:32Z
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/11422/8529
dc.identifier.issn.pt_BR.fl_str_mv 1040-7782
dc.identifier.doi.pt_BR.fl_str_mv 10.1080/10407782.2013.756763
identifier_str_mv 1040-7782
10.1080/10407782.2013.756763
url http://hdl.handle.net/11422/8529
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/11422/8529/1/2013_COTTA_v63-min.pdf
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