Numerical simulation of multifluid flows with the particle finite element method

In this monograph we have focused on understanding the basic physical principles of multi-fluid flows and the difficulties that arise in their numerical simulation. We have extended the Particle Finite Element Method to problems involving several different fluids with the aim of exploiting the fact...

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Autores: Mier Torrecilla, Mónica de, Idelsohn Barg, Sergio Rodolfo, Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095
Tipo de recurso: libro
Fecha de publicación:2010
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:2117/188922
Acceso en línea:https://hdl.handle.net/2117/188922
Access Level:acceso abierto
Palabra clave:Fluid dynamics--Mathematical models
CIMNE Monograph
Monografía CIMNE
Dinàmica de fluids -- Mètodes numèrics
Àrees temàtiques de la UPC::Física::Física de fluids::Flux de fluids
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spelling Numerical simulation of multifluid flows with the particle finite element methodMier Torrecilla, Mónica deIdelsohn Barg, Sergio RodolfoOñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095Fluid dynamics--Mathematical modelsCIMNE MonographMonografía CIMNEDinàmica de fluids -- Mètodes numèricsÀrees temàtiques de la UPC::Física::Física de fluids::Flux de fluidsIn this monograph we have focused on understanding the basic physical principles of multi-fluid flows and the difficulties that arise in their numerical simulation. We have extended the Particle Finite Element Method to problems involving several different fluids with the aim of exploiting the fact that Lagrangian methods are specially well suited for tracking any kind of interfaces. We have developed a numerical scheme able to deal with large jumps in the physical properties (density and viscosity), include surface tension, and accurately represent all types of discontinuities in the flow variables at the interface. The scheme is based on decoupling the nodes position, velocity and pressure variables through the Picard linearization and a pressure segregation method which takes into account the interface conditions. The interface has been defined to be aligned with the moving mesh, so that it remains sharp along time. Furthermore, pressure degrees of freedom have been duplicated at the interface nodes to represent the discontinuity of this variable due to surface tension and variable viscosity, and the mesh has been refined in the vicinity of the interface to improve the accuracy of the computations. We have applied the resulting scheme to several academic and geological problems,such as the two-fluid sloshing, extrusion of viscous fluids, bubble rise and breakup,mixing of magmatic liquids and negatively buoyant jets.International Centre for Numerical Methods in Engineering (CIMNE)20102010-01-0120202020-05-25bookhttp://purl.org/coar/resource_type/c_2f33VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/bookapplication/pdfhttps://hdl.handle.net/2117/188922reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1889222026-05-27T15:37:01Z
dc.title.none.fl_str_mv Numerical simulation of multifluid flows with the particle finite element method
title Numerical simulation of multifluid flows with the particle finite element method
spellingShingle Numerical simulation of multifluid flows with the particle finite element method
Mier Torrecilla, Mónica de
Fluid dynamics--Mathematical models
CIMNE Monograph
Monografía CIMNE
Dinàmica de fluids -- Mètodes numèrics
Àrees temàtiques de la UPC::Física::Física de fluids::Flux de fluids
title_short Numerical simulation of multifluid flows with the particle finite element method
title_full Numerical simulation of multifluid flows with the particle finite element method
title_fullStr Numerical simulation of multifluid flows with the particle finite element method
title_full_unstemmed Numerical simulation of multifluid flows with the particle finite element method
title_sort Numerical simulation of multifluid flows with the particle finite element method
dc.creator.none.fl_str_mv Mier Torrecilla, Mónica de
Idelsohn Barg, Sergio Rodolfo
Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095
author Mier Torrecilla, Mónica de
author_facet Mier Torrecilla, Mónica de
Idelsohn Barg, Sergio Rodolfo
Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095
author_role author
author2 Idelsohn Barg, Sergio Rodolfo
Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095
author2_role author
author
dc.subject.none.fl_str_mv Fluid dynamics--Mathematical models
CIMNE Monograph
Monografía CIMNE
Dinàmica de fluids -- Mètodes numèrics
Àrees temàtiques de la UPC::Física::Física de fluids::Flux de fluids
topic Fluid dynamics--Mathematical models
CIMNE Monograph
Monografía CIMNE
Dinàmica de fluids -- Mètodes numèrics
Àrees temàtiques de la UPC::Física::Física de fluids::Flux de fluids
description In this monograph we have focused on understanding the basic physical principles of multi-fluid flows and the difficulties that arise in their numerical simulation. We have extended the Particle Finite Element Method to problems involving several different fluids with the aim of exploiting the fact that Lagrangian methods are specially well suited for tracking any kind of interfaces. We have developed a numerical scheme able to deal with large jumps in the physical properties (density and viscosity), include surface tension, and accurately represent all types of discontinuities in the flow variables at the interface. The scheme is based on decoupling the nodes position, velocity and pressure variables through the Picard linearization and a pressure segregation method which takes into account the interface conditions. The interface has been defined to be aligned with the moving mesh, so that it remains sharp along time. Furthermore, pressure degrees of freedom have been duplicated at the interface nodes to represent the discontinuity of this variable due to surface tension and variable viscosity, and the mesh has been refined in the vicinity of the interface to improve the accuracy of the computations. We have applied the resulting scheme to several academic and geological problems,such as the two-fluid sloshing, extrusion of viscous fluids, bubble rise and breakup,mixing of magmatic liquids and negatively buoyant jets.
publishDate 2010
dc.date.none.fl_str_mv 2010
2010-01-01
2020
2020-05-25
dc.type.none.fl_str_mv book
http://purl.org/coar/resource_type/c_2f33
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/book
format book
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/188922
url https://hdl.handle.net/2117/188922
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
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv International Centre for Numerical Methods in Engineering (CIMNE)
publisher.none.fl_str_mv International Centre for Numerical Methods in Engineering (CIMNE)
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 15.300724

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