A finite element model for fluid–structure interaction problems involving closed membranes, internal and external fluids

In this paper we propose a Finite Element model for analyzing closed membranes (“bags”) interacting with internal and external (surrounding) fluids. The approach is based on embedding a Lagrangian monolithic model describing the membrane containing an internal fluid into an Eulerian external fluid m...

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Detalles Bibliográficos
Autores: Ryzhakov, Pavel|||0000-0002-4672-9038, Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/110593
Acceso en línea:https://hdl.handle.net/2117/110593
https://dx.doi.org/10.1016/j.cma.2017.08.014
Access Level:acceso abierto
Palabra clave:Fluid-structure interaction--Mathematical models
Embedded
Eulerian–Lagrangian
Immersed boundary
Light-weight structures
Multi-fluid
Navier–Stokes
Interacció fluid-estructura -- Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
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spelling A finite element model for fluid–structure interaction problems involving closed membranes, internal and external fluidsRyzhakov, Pavel|||0000-0002-4672-9038Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095Fluid-structure interaction--Mathematical modelsEmbeddedEulerian–LagrangianImmersed boundaryLight-weight structuresMulti-fluidNavier–StokesInteracció fluid-estructura -- Models matemàticsÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finitsIn this paper we propose a Finite Element model for analyzing closed membranes (“bags”) interacting with internal and external (surrounding) fluids. The approach is based on embedding a Lagrangian monolithic model describing the membrane containing an internal fluid into an Eulerian external fluid model. The combination of kinematic frameworks allows us to accurately track the location of the membrane and naturally represent flow variables discontinuities across it. In order to obtain stable coupling for membrane materials with low density, a slight fluid compressibility is assumed. The coupling between the membrane and the internal fluid is automatically accounted for by a monolithic set-up. The filled membrane and the external fluid are coupled in a Dirichlet–Neumann fashion. The model is validated in several numerical examples and its potential application to a civil engineering problem of coast protection via water-filled bag reefs is shown.Peer Reviewed20172017-11-0120172017-11-14journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/110593https://dx.doi.org/10.1016/j.cma.2017.08.014reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1105932026-05-27T15:37:01Z
dc.title.none.fl_str_mv A finite element model for fluid–structure interaction problems involving closed membranes, internal and external fluids
title A finite element model for fluid–structure interaction problems involving closed membranes, internal and external fluids
spellingShingle A finite element model for fluid–structure interaction problems involving closed membranes, internal and external fluids
Ryzhakov, Pavel|||0000-0002-4672-9038
Fluid-structure interaction--Mathematical models
Embedded
Eulerian–Lagrangian
Immersed boundary
Light-weight structures
Multi-fluid
Navier–Stokes
Interacció fluid-estructura -- Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
title_short A finite element model for fluid–structure interaction problems involving closed membranes, internal and external fluids
title_full A finite element model for fluid–structure interaction problems involving closed membranes, internal and external fluids
title_fullStr A finite element model for fluid–structure interaction problems involving closed membranes, internal and external fluids
title_full_unstemmed A finite element model for fluid–structure interaction problems involving closed membranes, internal and external fluids
title_sort A finite element model for fluid–structure interaction problems involving closed membranes, internal and external fluids
dc.creator.none.fl_str_mv Ryzhakov, Pavel|||0000-0002-4672-9038
Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095
author Ryzhakov, Pavel|||0000-0002-4672-9038
author_facet Ryzhakov, Pavel|||0000-0002-4672-9038
Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095
author_role author
author2 Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095
author2_role author
dc.subject.none.fl_str_mv Fluid-structure interaction--Mathematical models
Embedded
Eulerian–Lagrangian
Immersed boundary
Light-weight structures
Multi-fluid
Navier–Stokes
Interacció fluid-estructura -- Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
topic Fluid-structure interaction--Mathematical models
Embedded
Eulerian–Lagrangian
Immersed boundary
Light-weight structures
Multi-fluid
Navier–Stokes
Interacció fluid-estructura -- Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
description In this paper we propose a Finite Element model for analyzing closed membranes (“bags”) interacting with internal and external (surrounding) fluids. The approach is based on embedding a Lagrangian monolithic model describing the membrane containing an internal fluid into an Eulerian external fluid model. The combination of kinematic frameworks allows us to accurately track the location of the membrane and naturally represent flow variables discontinuities across it. In order to obtain stable coupling for membrane materials with low density, a slight fluid compressibility is assumed. The coupling between the membrane and the internal fluid is automatically accounted for by a monolithic set-up. The filled membrane and the external fluid are coupled in a Dirichlet–Neumann fashion. The model is validated in several numerical examples and its potential application to a civil engineering problem of coast protection via water-filled bag reefs is shown.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-11-01
2017
2017-11-14
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/110593
https://dx.doi.org/10.1016/j.cma.2017.08.014
url https://hdl.handle.net/2117/110593
https://dx.doi.org/10.1016/j.cma.2017.08.014
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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