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A coupled finite volume flow solver for the solution of incompressible viscoelastic flows

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Resumo:In this work, a block coupled algorithm for the solution of laminar, incompressible viscoelastic flow problems on collocated grids is presented. The inter-equation coupling of the incompressible Cauchy momentum equations and extra-stress tensor constitutive equation is obtained by deriving a pressure equation in a procedure similar to a SIMPLE algorithm with the Rhie-Chow interpolation technique, and a special treatment of the diffusion term in the momentum equations added by the improved both-sides diffusion (iBSD) technique, recently developed for the finite volume method. Additionally, the velocity field is considered implicitly in the extra-stress tensor constitutive equation by expanding the convective term with a second order Taylor series expansion. All the equations, comprising the continuity, momentum and extra-stress tensor constitutive equations are block-coupled into a single system of equations. The implicitly coupled system of equations is solved by an algebraic multigrid algorithm, which allows to accelerate the calculation process. The performance improvements obtained with the new solver are studied for three 2D viscoelastic flow case studies, and are quantified in terms of number of iterations and CPU time required to reach the predefined convergence criteria. The presented algorithm has been implemented into the open-source computational library foam-extend, a community driven fork of the OpenFOAM software.
Autores principais:Fernandes, C.
Outros Autores:Vukcevic, V.; Uroic, T.; Simões, Ricardo João Ferreira; Carneiro, O. S.; Jasak, H.; Nóbrega, J. M.
Assunto:Coupled solver Viscoelastic flow Finite volume method Openfoam Computer simulation
Ano:2019
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
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author Fernandes, C.
author2 Vukcevic, V.
Uroic, T.
Simões, Ricardo João Ferreira
Carneiro, O. S.
Jasak, H.
Nóbrega, J. M.
author2_role author
author
author
author
author
author
author_facet Fernandes, C.
Vukcevic, V.
Uroic, T.
Simões, Ricardo João Ferreira
Carneiro, O. S.
Jasak, H.
Nóbrega, J. M.
author_role author
contributor_name_str_mv RepositóriUM - Universidade do Minho
country_str PT
creators_json_txt [{\"Person.name\":\"Fernandes, C.\"},{\"Person.name\":\"Vukcevic, V.\"},{\"Person.name\":\"Uroic, T.\"},{\"Person.name\":\"Simões, Ricardo João Ferreira\"},{\"Person.name\":\"Carneiro, O. S.\"},{\"Person.name\":\"Jasak, H.\"},{\"Person.name\":\"Nóbrega, J. M.\"}]
datacite.contributors.contributor.contributorName.fl_str_mv RepositóriUM - Universidade do Minho
datacite.creators.creator.creatorName.fl_str_mv Fernandes, C.
Vukcevic, V.
Uroic, T.
Simões, Ricardo João Ferreira
Carneiro, O. S.
Jasak, H.
Nóbrega, J. M.
datacite.date.Accepted.fl_str_mv 2019-01-01T00:00:00Z
datacite.date.available.fl_str_mv 2020-01-28T18:21:51Z
datacite.date.embargoed.fl_str_mv 2020-01-28T18:21:51Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_abf2
datacite.subjects.subject.fl_str_mv Coupled solver
Viscoelastic flow
Finite volume method
Openfoam
Computer simulation
datacite.titles.title.fl_str_mv A coupled finite volume flow solver for the solution of incompressible viscoelastic flows
dc.contributor.none.fl_str_mv RepositóriUM - Universidade do Minho
dc.creator.none.fl_str_mv Fernandes, C.
Vukcevic, V.
Uroic, T.
Simões, Ricardo João Ferreira
Carneiro, O. S.
Jasak, H.
Nóbrega, J. M.
dc.date.Accepted.fl_str_mv 2019-01-01T00:00:00Z
dc.date.available.fl_str_mv 2020-01-28T18:21:51Z
dc.date.embargoed.fl_str_mv 2020-01-28T18:21:51Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv https://hdl.handle.net/1822/63450
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv Elsevier Science
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.subject.none.fl_str_mv Coupled solver
Viscoelastic flow
Finite volume method
Openfoam
Computer simulation
dc.title.fl_str_mv A coupled finite volume flow solver for the solution of incompressible viscoelastic flows
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_6501
description In this work, a block coupled algorithm for the solution of laminar, incompressible viscoelastic flow problems on collocated grids is presented. The inter-equation coupling of the incompressible Cauchy momentum equations and extra-stress tensor constitutive equation is obtained by deriving a pressure equation in a procedure similar to a SIMPLE algorithm with the Rhie-Chow interpolation technique, and a special treatment of the diffusion term in the momentum equations added by the improved both-sides diffusion (iBSD) technique, recently developed for the finite volume method. Additionally, the velocity field is considered implicitly in the extra-stress tensor constitutive equation by expanding the convective term with a second order Taylor series expansion. All the equations, comprising the continuity, momentum and extra-stress tensor constitutive equations are block-coupled into a single system of equations. The implicitly coupled system of equations is solved by an algebraic multigrid algorithm, which allows to accelerate the calculation process. The performance improvements obtained with the new solver are studied for three 2D viscoelastic flow case studies, and are quantified in terms of number of iterations and CPU time required to reach the predefined convergence criteria. The presented algorithm has been implemented into the open-source computational library foam-extend, a community driven fork of the OpenFOAM software.
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organization_str_mv urn:organizationAcronym:repositorium
person_str_mv Fernandes, C.
Vukcevic, V.
Uroic, T.
Simões, Ricardo João Ferreira
Carneiro, O. S.
Jasak, H.
Nóbrega, J. M.
publishDate 2019
publisher.none.fl_str_mv Elsevier Science
reponame_str RepositóriUM - Universidade do Minho
repository_id_str urn:repositoryAcronym:rum
service_str_mv urn:repositoryAcronym:rum
spelling engElsevier ScienceporIn this work, a block coupled algorithm for the solution of laminar, incompressible viscoelastic flow problems on collocated grids is presented. The inter-equation coupling of the incompressible Cauchy momentum equations and extra-stress tensor constitutive equation is obtained by deriving a pressure equation in a procedure similar to a SIMPLE algorithm with the Rhie-Chow interpolation technique, and a special treatment of the diffusion term in the momentum equations added by the improved both-sides diffusion (iBSD) technique, recently developed for the finite volume method. Additionally, the velocity field is considered implicitly in the extra-stress tensor constitutive equation by expanding the convective term with a second order Taylor series expansion. All the equations, comprising the continuity, momentum and extra-stress tensor constitutive equations are block-coupled into a single system of equations. The implicitly coupled system of equations is solved by an algebraic multigrid algorithm, which allows to accelerate the calculation process. The performance improvements obtained with the new solver are studied for three 2D viscoelastic flow case studies, and are quantified in terms of number of iterations and CPU time required to reach the predefined convergence criteria. The presented algorithm has been implemented into the open-source computational library foam-extend, a community driven fork of the OpenFOAM software.application/pdfporA coupled finite volume flow solver for the solution of incompressible viscoelastic flowsFernandes, C.Vukcevic, V.Uroic, T.Simões, Ricardo João FerreiraCarneiro, O. S.Jasak, H.Nóbrega, J. M.HostingInstitutionOrganizationalRepositóriUM - Universidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptISSNIsPartOf0377-0257DOIIsPartOf10.1016/j.jnnfm.2019.01.0062020-01-28T18:21:51Z20192020-01-28T17:01:34Z2019-01-01T00:00:00ZHandlehttps://hdl.handle.net/1822/63450http://purl.org/coar/access_right/c_abf2open accessCoupled solverViscoelastic flowFinite volume methodOpenfoamComputer simulation2577990 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal articlehttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorium.uminho.pt/bitstreams/cb81e933-cd6f-4d00-a62e-2fbe00840f62/download
spellingShingle A coupled finite volume flow solver for the solution of incompressible viscoelastic flows
Fernandes, C.
Coupled solver
Viscoelastic flow
Finite volume method
Openfoam
Computer simulation
status SINGLETON
subject.fl_str_mv Coupled solver
Viscoelastic flow
Finite volume method
Openfoam
Computer simulation
title A coupled finite volume flow solver for the solution of incompressible viscoelastic flows
title_full A coupled finite volume flow solver for the solution of incompressible viscoelastic flows
title_fullStr A coupled finite volume flow solver for the solution of incompressible viscoelastic flows
title_full_unstemmed A coupled finite volume flow solver for the solution of incompressible viscoelastic flows
title_short A coupled finite volume flow solver for the solution of incompressible viscoelastic flows
title_sort A coupled finite volume flow solver for the solution of incompressible viscoelastic flows
topic Coupled solver
Viscoelastic flow
Finite volume method
Openfoam
Computer simulation
topic_facet Coupled solver
Viscoelastic flow
Finite volume method
Openfoam
Computer simulation
url https://hdl.handle.net/1822/63450
visible 1