Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations

Detalhes bibliográficos
Autor(a) principal: Pires, Marília
Data de Publicação: 2023
Outros Autores: Bodnár, Tomás
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/36238
https://doi.org/10.1007/s42452-023-05348-1
Resumo: Two different methods of artificial diffusion stabilization of the numerical simulations of steady Oldroyd-B fluids flows are presented. They are based on the idea of vanishing in time added stabilization terms which are only present during the initial stage of time-marching process towards the steady state solution. These extra terms naturally vanish and do not affect the final result. The numerical simulations are built on a simple steady 2D case of Oldroyd-B fluid flow in a symmetrical corrugated channel. Numerical solver uses finite element discretization in space and characteristic Galerkin method for pseudo-time discretization. Numerical results are presented in the form of isolines and graphs of selected flow variables, to assess the possible efficiency of the different stabilization techniques used
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spelling Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulationsArtificial diffusion stabilizationFinite element methodOldroyd-B fluidStress diffusionTwo different methods of artificial diffusion stabilization of the numerical simulations of steady Oldroyd-B fluids flows are presented. They are based on the idea of vanishing in time added stabilization terms which are only present during the initial stage of time-marching process towards the steady state solution. These extra terms naturally vanish and do not affect the final result. The numerical simulations are built on a simple steady 2D case of Oldroyd-B fluid flow in a symmetrical corrugated channel. Numerical solver uses finite element discretization in space and characteristic Galerkin method for pseudo-time discretization. Numerical results are presented in the form of isolines and graphs of selected flow variables, to assess the possible efficiency of the different stabilization techniques usedSN Applied Sciences2024-02-06T09:39:14Z2024-02-062023-04-12T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/36238http://hdl.handle.net/10174/36238https://doi.org/10.1007/s42452-023-05348-1engPires, M., Bodnár, T. Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations. SN Appl. Sci. 5, 135 (2023).https://link.springer.com/article/10.1007/s42452-023-05348-1marilia@uevora.ptTomas.Bodnar@fs.cvut.cz335Pires, MaríliaBodnár, Tomásinfo: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:RCAAP2024-02-13T01:46:16Zoai:dspace.uevora.pt:10174/36238Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:37:59.790382Repositório 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 Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations
title Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations
spellingShingle Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations
Pires, Marília
Artificial diffusion stabilization
Finite element method
Oldroyd-B fluid
Stress diffusion
title_short Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations
title_full Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations
title_fullStr Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations
title_full_unstemmed Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations
title_sort Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations
author Pires, Marília
author_facet Pires, Marília
Bodnár, Tomás
author_role author
author2 Bodnár, Tomás
author2_role author
dc.contributor.author.fl_str_mv Pires, Marília
Bodnár, Tomás
dc.subject.por.fl_str_mv Artificial diffusion stabilization
Finite element method
Oldroyd-B fluid
Stress diffusion
topic Artificial diffusion stabilization
Finite element method
Oldroyd-B fluid
Stress diffusion
description Two different methods of artificial diffusion stabilization of the numerical simulations of steady Oldroyd-B fluids flows are presented. They are based on the idea of vanishing in time added stabilization terms which are only present during the initial stage of time-marching process towards the steady state solution. These extra terms naturally vanish and do not affect the final result. The numerical simulations are built on a simple steady 2D case of Oldroyd-B fluid flow in a symmetrical corrugated channel. Numerical solver uses finite element discretization in space and characteristic Galerkin method for pseudo-time discretization. Numerical results are presented in the form of isolines and graphs of selected flow variables, to assess the possible efficiency of the different stabilization techniques used
publishDate 2023
dc.date.none.fl_str_mv 2023-04-12T00:00:00Z
2024-02-06T09:39:14Z
2024-02-06
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/10174/36238
http://hdl.handle.net/10174/36238
https://doi.org/10.1007/s42452-023-05348-1
url http://hdl.handle.net/10174/36238
https://doi.org/10.1007/s42452-023-05348-1
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Pires, M., Bodnár, T. Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations. SN Appl. Sci. 5, 135 (2023).
https://link.springer.com/article/10.1007/s42452-023-05348-1
marilia@uevora.pt
Tomas.Bodnar@fs.cvut.cz
335
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv SN Applied Sciences
publisher.none.fl_str_mv SN Applied Sciences
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
_version_ 1799137430943563776

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