A fully implicit log-conformation tensor coupled algorithm for the solution of incompressible non-isothermal viscoelastic flows
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://hdl.handle.net/1822/79876 |
Resumo: | In this work, a block-coupled algorithm is presented, which can compute laminar, incompressible, non-isothermal, viscoelastic flow problems based on the log-conformation tensor approach. The inter-equation coupling of the incompressible Cauchy linear momentum and mass conservation equations is obtained in a procedure based on the Rhie–Chow interpolation. The divergence of the log-conformation tensor term in the linear momentum equations is implicitly discretized in this work. In addition, the velocity field is considered implicitly in the log-conformation tensor constitutive equations by expanding the advection, rotation and the rate of deformation terms with a Taylor series expansion truncated at the second-order error term. Finally, the advection and diffusion terms in the energy equation are also implicitly discretized. The mass, linear momentum, log-conformation tensor constitutive model and energy-discretized linear equations are joined into a block-matrix following a monolithic framework. Validation of the newly developed algorithm is performed for the non-isothermal viscoelastic matrix-based Oldroyd-B fluid flow in the axisymmetric 4:1 planar sudden contraction benchmark problem. |
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A fully implicit log-conformation tensor coupled algorithm for the solution of incompressible non-isothermal viscoelastic flowsfully implicit coupled solverviscoelastic flowlog-conformation tensor approachnon-isothermal effectsfinite volume methodOpenFOAMEngenharia e Tecnologia::Engenharia MecânicaScience & TechnologyIndústria, inovação e infraestruturasIn this work, a block-coupled algorithm is presented, which can compute laminar, incompressible, non-isothermal, viscoelastic flow problems based on the log-conformation tensor approach. The inter-equation coupling of the incompressible Cauchy linear momentum and mass conservation equations is obtained in a procedure based on the Rhie–Chow interpolation. The divergence of the log-conformation tensor term in the linear momentum equations is implicitly discretized in this work. In addition, the velocity field is considered implicitly in the log-conformation tensor constitutive equations by expanding the advection, rotation and the rate of deformation terms with a Taylor series expansion truncated at the second-order error term. Finally, the advection and diffusion terms in the energy equation are also implicitly discretized. The mass, linear momentum, log-conformation tensor constitutive model and energy-discretized linear equations are joined into a block-matrix following a monolithic framework. Validation of the newly developed algorithm is performed for the non-isothermal viscoelastic matrix-based Oldroyd-B fluid flow in the axisymmetric 4:1 planar sudden contraction benchmark problem.This work is funded by FEDER funds through the COMPETE 2020 Programme and National Funds through FCT (Portuguese Foundation for Science and Technology) under the projects UID-B/05256/2020 and UID-P/05256/2020.MDPIUniversidade do MinhoFernandes, C.2022-09-302022-09-30T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/79876engFernandes, C. A Fully Implicit Log-Conformation Tensor Coupled Algorithm for the Solution of Incompressible Non-Isothermal Viscoelastic Flows. Polymers 2022, 14, 4099. https://doi.org/10.3390/polym141940992073-436010.3390/polym14194099https://www.mdpi.com/2073-4360/14/19/4099info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:31:36Zoai:repositorium.sdum.uminho.pt:1822/79876Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:26:51.992454Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
A fully implicit log-conformation tensor coupled algorithm for the solution of incompressible non-isothermal viscoelastic flows |
title |
A fully implicit log-conformation tensor coupled algorithm for the solution of incompressible non-isothermal viscoelastic flows |
spellingShingle |
A fully implicit log-conformation tensor coupled algorithm for the solution of incompressible non-isothermal viscoelastic flows Fernandes, C. fully implicit coupled solver viscoelastic flow log-conformation tensor approach non-isothermal effects finite volume method OpenFOAM Engenharia e Tecnologia::Engenharia Mecânica Science & Technology Indústria, inovação e infraestruturas |
title_short |
A fully implicit log-conformation tensor coupled algorithm for the solution of incompressible non-isothermal viscoelastic flows |
title_full |
A fully implicit log-conformation tensor coupled algorithm for the solution of incompressible non-isothermal viscoelastic flows |
title_fullStr |
A fully implicit log-conformation tensor coupled algorithm for the solution of incompressible non-isothermal viscoelastic flows |
title_full_unstemmed |
A fully implicit log-conformation tensor coupled algorithm for the solution of incompressible non-isothermal viscoelastic flows |
title_sort |
A fully implicit log-conformation tensor coupled algorithm for the solution of incompressible non-isothermal viscoelastic flows |
author |
Fernandes, C. |
author_facet |
Fernandes, C. |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Fernandes, C. |
dc.subject.por.fl_str_mv |
fully implicit coupled solver viscoelastic flow log-conformation tensor approach non-isothermal effects finite volume method OpenFOAM Engenharia e Tecnologia::Engenharia Mecânica Science & Technology Indústria, inovação e infraestruturas |
topic |
fully implicit coupled solver viscoelastic flow log-conformation tensor approach non-isothermal effects finite volume method OpenFOAM Engenharia e Tecnologia::Engenharia Mecânica Science & Technology Indústria, inovação e infraestruturas |
description |
In this work, a block-coupled algorithm is presented, which can compute laminar, incompressible, non-isothermal, viscoelastic flow problems based on the log-conformation tensor approach. The inter-equation coupling of the incompressible Cauchy linear momentum and mass conservation equations is obtained in a procedure based on the Rhie–Chow interpolation. The divergence of the log-conformation tensor term in the linear momentum equations is implicitly discretized in this work. In addition, the velocity field is considered implicitly in the log-conformation tensor constitutive equations by expanding the advection, rotation and the rate of deformation terms with a Taylor series expansion truncated at the second-order error term. Finally, the advection and diffusion terms in the energy equation are also implicitly discretized. The mass, linear momentum, log-conformation tensor constitutive model and energy-discretized linear equations are joined into a block-matrix following a monolithic framework. Validation of the newly developed algorithm is performed for the non-isothermal viscoelastic matrix-based Oldroyd-B fluid flow in the axisymmetric 4:1 planar sudden contraction benchmark problem. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-09-30 2022-09-30T00:00:00Z |
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 |
https://hdl.handle.net/1822/79876 |
url |
https://hdl.handle.net/1822/79876 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Fernandes, C. A Fully Implicit Log-Conformation Tensor Coupled Algorithm for the Solution of Incompressible Non-Isothermal Viscoelastic Flows. Polymers 2022, 14, 4099. https://doi.org/10.3390/polym14194099 2073-4360 10.3390/polym14194099 https://www.mdpi.com/2073-4360/14/19/4099 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
MDPI |
publisher.none.fl_str_mv |
MDPI |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799132757883879424 |