Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field

[EN] This paper proposes a new formulation to impose Dirichlet boundary conditions on immersed boundary Cartesian Finite Element meshes. The method uses a recovered stress field calculated by Superconvergent Patch Recovery to stabilize the Lagrange multiplier formulation of the problem. The optimal...

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Autores: Tur Valiente, Manuel|||0000-0001-7683-4771, Albelda Vitoria, José|||0000-0001-7365-1152, Ródenas, Juan José|||0000-0003-2195-7920, Marco, Onofre
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/63044
Acceso en línea:https://riunet.upv.es/handle/10251/63044
Access Level:acceso abierto
Palabra clave:Dirichlet boundary conditions
Lagrange multipliers
Stabilization
Immersed boundary method
Cartesian grid
INGENIERIA MECANICA
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spelling Stabilized method of imposing Dirichlet boundary conditions using a recovered stress fieldTur Valiente, Manuel|||0000-0001-7683-4771Albelda Vitoria, José|||0000-0001-7365-1152Ródenas, Juan José|||0000-0003-2195-7920Marco, OnofreDirichlet boundary conditionsLagrange multipliersStabilizationImmersed boundary methodCartesian gridINGENIERIA MECANICA[EN] This paper proposes a new formulation to impose Dirichlet boundary conditions on immersed boundary Cartesian Finite Element meshes. The method uses a recovered stress field calculated by Superconvergent Patch Recovery to stabilize the Lagrange multiplier formulation of the problem. The optimal convergence of the method and the convergence of the proposed iterative procedure are demonstrated. The proposed method is also suitable for problems with non-linear material behavior. Some numerical examples are included to confirm the theoretical results.The authors wish to thank the Spanish Ministerio de Economia y Competitividad for the financial support received through the project DPI2013-46317-R and Generalitat Valenciana through the project PROMETEO/2012/023. The authors are also grateful for the support of the Seventh Framework Programme Initial Training Network Funding under grant number 289361 'Integrating Numerical Simulation and Geometric Design Technology (INSIST)".ElsevierEscuela Técnica Superior de Ingeniería Aeroespacial y Diseño IndustrialDepartamento de Ingeniería Mecánica y de MaterialesInstituto Universitario de Investigación Concertado de Ingeniería Mecánica y BiomecánicaEuropean CommissionMinisterio de Economía y CompetitividadGeneralitat ValencianaRepositorio Institucional de la Universitat Politècnica de València Riunet20152015-11-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/63044reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 DPI2013-46317-R PERSONALIZACION DE IMPLANTES MEDIANTE MODELOS DE ELEMENTOS FINITOS A PARTIR DE IMAGENES MEDICAS 3DEuropean Commission https://doi.org/10.13039/501100000780 FP7 289361 Integrating Numerical Simulation and Geometric Design TechnologyGeneralitat Valenciana https://doi.org/10.13039/501100003359 PROMETEO%2F2012%2F023 MODELADO NUMERICO AVANZADO EN INGENIERIA MECANICAopen accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/630442026-06-13T07:49:27Z
dc.title.none.fl_str_mv Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field
title Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field
spellingShingle Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field
Tur Valiente, Manuel|||0000-0001-7683-4771
Dirichlet boundary conditions
Lagrange multipliers
Stabilization
Immersed boundary method
Cartesian grid
INGENIERIA MECANICA
title_short Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field
title_full Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field
title_fullStr Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field
title_full_unstemmed Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field
title_sort Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field
dc.creator.none.fl_str_mv Tur Valiente, Manuel|||0000-0001-7683-4771
Albelda Vitoria, José|||0000-0001-7365-1152
Ródenas, Juan José|||0000-0003-2195-7920
Marco, Onofre
author Tur Valiente, Manuel|||0000-0001-7683-4771
author_facet Tur Valiente, Manuel|||0000-0001-7683-4771
Albelda Vitoria, José|||0000-0001-7365-1152
Ródenas, Juan José|||0000-0003-2195-7920
Marco, Onofre
author_role author
author2 Albelda Vitoria, José|||0000-0001-7365-1152
Ródenas, Juan José|||0000-0003-2195-7920
Marco, Onofre
author2_role author
author
author
dc.contributor.none.fl_str_mv Escuela Técnica Superior de Ingeniería Aeroespacial y Diseño Industrial
Departamento de Ingeniería Mecánica y de Materiales
Instituto Universitario de Investigación Concertado de Ingeniería Mecánica y Biomecánica
European Commission
Ministerio de Economía y Competitividad
Generalitat Valenciana
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Dirichlet boundary conditions
Lagrange multipliers
Stabilization
Immersed boundary method
Cartesian grid
INGENIERIA MECANICA
topic Dirichlet boundary conditions
Lagrange multipliers
Stabilization
Immersed boundary method
Cartesian grid
INGENIERIA MECANICA
description [EN] This paper proposes a new formulation to impose Dirichlet boundary conditions on immersed boundary Cartesian Finite Element meshes. The method uses a recovered stress field calculated by Superconvergent Patch Recovery to stabilize the Lagrange multiplier formulation of the problem. The optimal convergence of the method and the convergence of the proposed iterative procedure are demonstrated. The proposed method is also suitable for problems with non-linear material behavior. Some numerical examples are included to confirm the theoretical results.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-11-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/63044
url https://riunet.upv.es/handle/10251/63044
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 DPI2013-46317-R PERSONALIZACION DE IMPLANTES MEDIANTE MODELOS DE ELEMENTOS FINITOS A PARTIR DE IMAGENES MEDICAS 3D
European Commission https://doi.org/10.13039/501100000780 FP7 289361 Integrating Numerical Simulation and Geometric Design Technology
Generalitat Valenciana https://doi.org/10.13039/501100003359 PROMETEO%2F2012%2F023 MODELADO NUMERICO AVANZADO EN INGENIERIA MECANICA
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
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
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300724

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