The UNIT algorithm for solving one-dimensional convection-diffusion problems via integral transforms

Detalhes bibliográficos
Autor(a) principal: Sphaier, Leandro Alcoforado
Data de Publicação: 2012
Outros Autores: Cotta, Renato Machado, Naveira-Cotta, Carolina Palma, Quaresma, João Nazareno Nonato
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/8609
Resumo: A unified approach for solving convection-diffusion problems using the Generalized Integral Transform Technique (GITT) was advanced and coined as the UNIT (UNified Integral Transforms) algorithm, as implied by the acronym. The unified manner through which problems are tackled in the UNIT framework allows users that are less familiar with the GITT to employ the technique for solving a variety of partial-differential problems. This paper consolidates this approach in solving general transient one-dimensional problems. Different integration alternatives for calculating coefficients arising from integral transformation are discussed. Besides presenting the proposed algorithm, aspects related to computational implementation are also explored. Finally, benchmark results of different types of problems are calculated with a UNIT-based implementation and compared with previously obtained results.
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spelling The UNIT algorithm for solving one-dimensional convection-diffusion problems via integral transformsGeneralized Integral Transform TechniqueHybrid methodsConvection-diffusionNon-linear problemsCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSA unified approach for solving convection-diffusion problems using the Generalized Integral Transform Technique (GITT) was advanced and coined as the UNIT (UNified Integral Transforms) algorithm, as implied by the acronym. The unified manner through which problems are tackled in the UNIT framework allows users that are less familiar with the GITT to employ the technique for solving a variety of partial-differential problems. This paper consolidates this approach in solving general transient one-dimensional problems. Different integration alternatives for calculating coefficients arising from integral transformation are discussed. Besides presenting the proposed algorithm, aspects related to computational implementation are also explored. Finally, benchmark results of different types of problems are calculated with a UNIT-based implementation and compared with previously obtained results.IndisponívelElsevierBrasilNúcleo Interdisciplinar de Dinâmica dos Fluidos2019-07-02T15:27:06Z2023-12-21T03:06:09Z2012-01-13info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0735-1933http://hdl.handle.net/11422/860910.1016/j.icheatmasstransfer.2010.12.036engInternational Communications in Heat and Mass TransferSphaier, Leandro AlcoforadoCotta, Renato MachadoNaveira-Cotta, Carolina PalmaQuaresma, João Nazareno Nonatoinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJ2023-12-21T03:06:09Zoai:pantheon.ufrj.br:11422/8609Repositório InstitucionalPUBhttp://www.pantheon.ufrj.br/oai/requestpantheon@sibi.ufrj.bropendoar:2023-12-21T03:06:09Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.none.fl_str_mv The UNIT algorithm for solving one-dimensional convection-diffusion problems via integral transforms
title The UNIT algorithm for solving one-dimensional convection-diffusion problems via integral transforms
spellingShingle The UNIT algorithm for solving one-dimensional convection-diffusion problems via integral transforms
Sphaier, Leandro Alcoforado
Generalized Integral Transform Technique
Hybrid methods
Convection-diffusion
Non-linear problems
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
title_short The UNIT algorithm for solving one-dimensional convection-diffusion problems via integral transforms
title_full The UNIT algorithm for solving one-dimensional convection-diffusion problems via integral transforms
title_fullStr The UNIT algorithm for solving one-dimensional convection-diffusion problems via integral transforms
title_full_unstemmed The UNIT algorithm for solving one-dimensional convection-diffusion problems via integral transforms
title_sort The UNIT algorithm for solving one-dimensional convection-diffusion problems via integral transforms
author Sphaier, Leandro Alcoforado
author_facet Sphaier, Leandro Alcoforado
Cotta, Renato Machado
Naveira-Cotta, Carolina Palma
Quaresma, João Nazareno Nonato
author_role author
author2 Cotta, Renato Machado
Naveira-Cotta, Carolina Palma
Quaresma, João Nazareno Nonato
author2_role author
author
author
dc.contributor.author.fl_str_mv Sphaier, Leandro Alcoforado
Cotta, Renato Machado
Naveira-Cotta, Carolina Palma
Quaresma, João Nazareno Nonato
dc.subject.por.fl_str_mv Generalized Integral Transform Technique
Hybrid methods
Convection-diffusion
Non-linear problems
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
topic Generalized Integral Transform Technique
Hybrid methods
Convection-diffusion
Non-linear problems
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
description A unified approach for solving convection-diffusion problems using the Generalized Integral Transform Technique (GITT) was advanced and coined as the UNIT (UNified Integral Transforms) algorithm, as implied by the acronym. The unified manner through which problems are tackled in the UNIT framework allows users that are less familiar with the GITT to employ the technique for solving a variety of partial-differential problems. This paper consolidates this approach in solving general transient one-dimensional problems. Different integration alternatives for calculating coefficients arising from integral transformation are discussed. Besides presenting the proposed algorithm, aspects related to computational implementation are also explored. Finally, benchmark results of different types of problems are calculated with a UNIT-based implementation and compared with previously obtained results.
publishDate 2012
dc.date.none.fl_str_mv 2012-01-13
2019-07-02T15:27:06Z
2023-12-21T03:06:09Z
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 0735-1933
http://hdl.handle.net/11422/8609
10.1016/j.icheatmasstransfer.2010.12.036
identifier_str_mv 0735-1933
10.1016/j.icheatmasstransfer.2010.12.036
url http://hdl.handle.net/11422/8609
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Communications in 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 Elsevier
Brasil
Núcleo Interdisciplinar de Dinâmica dos Fluidos
publisher.none.fl_str_mv Elsevier
Brasil
Núcleo Interdisciplinar de Dinâmica dos Fluidos
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
repository.name.fl_str_mv Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)
repository.mail.fl_str_mv pantheon@sibi.ufrj.br
_version_ 1815455991634853888

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