Lagrangian versus Eulerian integration errors

The possibility to use a Lagrangian frame to solve problems with large time-steps was successfully explored previously by the authors for the solution of homogeneous incompressible fluids and also for solving multi-fluid problems (Idelsohn et al. 2012; 2014; 2013). The strategy used by the authors w...

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Autores: Idelsohn Barg, Sergio Rodolfo, Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095, Nigro, Norberto, Becker, Pablo Agustín|||0000-0002-3737-3842, Gimenez, Juan Marcelo
Tipo de recurso: artículo
Fecha de publicación:2015
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:2117/82970
Acceso en línea:https://hdl.handle.net/2117/82970
https://dx.doi.org/10.1016/j.cma.2015.04.003
Access Level:acceso abierto
Palabra clave:Numerical integration
Numerical integration errors
Particle methods
Multi-fluids flows
Lagrange formulations
Incompressible Navier–Stokes equations
Integració numèrica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
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spelling Lagrangian versus Eulerian integration errorsIdelsohn Barg, Sergio RodolfoOñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095Nigro, NorbertoBecker, Pablo Agustín|||0000-0002-3737-3842Gimenez, Juan MarceloNumerical integrationNumerical integration errorsParticle methodsMulti-fluids flowsLagrange formulationsIncompressible Navier–Stokes equationsIntegració numèricaÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèricsThe possibility to use a Lagrangian frame to solve problems with large time-steps was successfully explored previously by the authors for the solution of homogeneous incompressible fluids and also for solving multi-fluid problems (Idelsohn et al. 2012; 2014; 2013). The strategy used by the authors was named Particle Finite Element Method second generation (PFEM-2). The objective of this paper is to demonstrate in which circumstances the use of a Lagrangian frame with particles is more accurate than a classical Eulerian finite element method, and when large time-steps and/or coarse meshes may be used.Peer Reviewed20152015-08-0120162016-02-15journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/82970https://dx.doi.org/10.1016/j.cma.2015.04.003reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengEuropean Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 664910 ASSESSMENT AND INITIAL STEPS FOR THE EXPLOITATION OF A FAST SIMULATION SOFTWARE FOR CASTING MANUFACTURING OPERATIONSopen accesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/829702026-05-27T15:37:01Z
dc.title.none.fl_str_mv Lagrangian versus Eulerian integration errors
title Lagrangian versus Eulerian integration errors
spellingShingle Lagrangian versus Eulerian integration errors
Idelsohn Barg, Sergio Rodolfo
Numerical integration
Numerical integration errors
Particle methods
Multi-fluids flows
Lagrange formulations
Incompressible Navier–Stokes equations
Integració numèrica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
title_short Lagrangian versus Eulerian integration errors
title_full Lagrangian versus Eulerian integration errors
title_fullStr Lagrangian versus Eulerian integration errors
title_full_unstemmed Lagrangian versus Eulerian integration errors
title_sort Lagrangian versus Eulerian integration errors
dc.creator.none.fl_str_mv Idelsohn Barg, Sergio Rodolfo
Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095
Nigro, Norberto
Becker, Pablo Agustín|||0000-0002-3737-3842
Gimenez, Juan Marcelo
author Idelsohn Barg, Sergio Rodolfo
author_facet Idelsohn Barg, Sergio Rodolfo
Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095
Nigro, Norberto
Becker, Pablo Agustín|||0000-0002-3737-3842
Gimenez, Juan Marcelo
author_role author
author2 Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095
Nigro, Norberto
Becker, Pablo Agustín|||0000-0002-3737-3842
Gimenez, Juan Marcelo
author2_role author
author
author
author
dc.subject.none.fl_str_mv Numerical integration
Numerical integration errors
Particle methods
Multi-fluids flows
Lagrange formulations
Incompressible Navier–Stokes equations
Integració numèrica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
topic Numerical integration
Numerical integration errors
Particle methods
Multi-fluids flows
Lagrange formulations
Incompressible Navier–Stokes equations
Integració numèrica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
description The possibility to use a Lagrangian frame to solve problems with large time-steps was successfully explored previously by the authors for the solution of homogeneous incompressible fluids and also for solving multi-fluid problems (Idelsohn et al. 2012; 2014; 2013). The strategy used by the authors was named Particle Finite Element Method second generation (PFEM-2). The objective of this paper is to demonstrate in which circumstances the use of a Lagrangian frame with particles is more accurate than a classical Eulerian finite element method, and when large time-steps and/or coarse meshes may be used.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-08-01
2016
2016-02-15
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/2117/82970
https://dx.doi.org/10.1016/j.cma.2015.04.003
url https://hdl.handle.net/2117/82970
https://dx.doi.org/10.1016/j.cma.2015.04.003
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv European Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 664910 ASSESSMENT AND INITIAL STEPS FOR THE EXPLOITATION OF A FAST SIMULATION SOFTWARE FOR CASTING MANUFACTURING OPERATIONS
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2

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

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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score 15,301603

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