A compressible Lagrangian framework for the simulation of underwater implosion problems

The development of efficient algorithms to understand implosion dynamics presents a number of challenges. The foremost challenge is to efficiently represent the coupled compressible fluid dynamics of internal air and surrounding water. Secondly, the method must allow one to accurately detect or foll...

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Autores: Kamran, Kazem, Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095, Idelsohn Barg, Sergio Rodolfo, Rossi, Riccardo|||0000-0003-0528-7074
Tipo de recurso: libro
Fecha de publicación:2013
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:2117/24658
Acceso en línea:https://hdl.handle.net/2117/24658
Access Level:acceso abierto
Palabra clave:Underwater explosions
Lagrange equations
CIMNE Monograph
Monografía CIMNE
Lagrange, Equacions de
Explosions
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
Àrees temàtiques de la UPC::Física::Física de fluids
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network_name_str España
repository_id_str
spelling A compressible Lagrangian framework for the simulation of underwater implosion problemsKamran, KazemOñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095Idelsohn Barg, Sergio RodolfoRossi, Riccardo|||0000-0003-0528-7074Underwater explosionsLagrange equationsCIMNE MonographMonografía CIMNELagrange, Equacions deExplosionsÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèricsÀrees temàtiques de la UPC::Física::Física de fluidsThe development of efficient algorithms to understand implosion dynamics presents a number of challenges. The foremost challenge is to efficiently represent the coupled compressible fluid dynamics of internal air and surrounding water. Secondly, the method must allow one to accurately detect or follow the interface between the phases. Finally, it must be capable of resolving any shock waves which may be created in air or water during the final stage of the collapse. We present a fully Lagrangian compressible numerical framework for the simulation of underwater implosion. Both air and water are considered compressible and the equations for the Lagrangian shock hydrodynamics are stabilized via a variationally consistent multiscale method. A nodally perfect matched definition of the interface is used and then the kinetic variables, pressure and density, are duplicated at the interface level. An adaptive mesh generation procedure, which respects the interface connectivities, is applied to provide enough refinement at the interface level. This framework is then used to simulate the underwater implosion of a large cylindrical bubble, with a size in the order of cm. Rapid collapse and growth of the bubble occurred on very small spatial (0.3mm), and time (0.1ms) scales followed by Rayleigh-Taylor instabilities at the interface, in addition to the shock waves traveling in the fluid domains are among the phenomena that are observed in the simulation. We then extend our framework to model the underwater implosion of a cylindrical aluminum container considering a monolithic fluid-structure interaction (FSI). The aluminum cylinder, which separates the internal atmospheric-pressure air from the external high-pressure water, is modeled by a three node rotation-free shell element. The cylinder undergoes fast transient deformations, large enough to produce self-contact along it. A novel elastic frictionless contact model is used to detect contact and compute the non-penetrating forces in the discretized domain between the mid-planes of the shell. Two schemes are tested, implicit using the predictor/multi-corrector Bossak scheme, and explicit, using the forward Euler scheme. The results of the two simulations are compared with experimental data.Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE)20132013-01-0120142014-11-10bookhttp://purl.org/coar/resource_type/c_2f33VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/bookapplication/pdfhttps://hdl.handle.net/2117/24658reponame: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:2117/246582026-05-27T15:37:01Z
dc.title.none.fl_str_mv A compressible Lagrangian framework for the simulation of underwater implosion problems
title A compressible Lagrangian framework for the simulation of underwater implosion problems
spellingShingle A compressible Lagrangian framework for the simulation of underwater implosion problems
Kamran, Kazem
Underwater explosions
Lagrange equations
CIMNE Monograph
Monografía CIMNE
Lagrange, Equacions de
Explosions
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
Àrees temàtiques de la UPC::Física::Física de fluids
title_short A compressible Lagrangian framework for the simulation of underwater implosion problems
title_full A compressible Lagrangian framework for the simulation of underwater implosion problems
title_fullStr A compressible Lagrangian framework for the simulation of underwater implosion problems
title_full_unstemmed A compressible Lagrangian framework for the simulation of underwater implosion problems
title_sort A compressible Lagrangian framework for the simulation of underwater implosion problems
dc.creator.none.fl_str_mv Kamran, Kazem
Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095
Idelsohn Barg, Sergio Rodolfo
Rossi, Riccardo|||0000-0003-0528-7074
author Kamran, Kazem
author_facet Kamran, Kazem
Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095
Idelsohn Barg, Sergio Rodolfo
Rossi, Riccardo|||0000-0003-0528-7074
author_role author
author2 Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095
Idelsohn Barg, Sergio Rodolfo
Rossi, Riccardo|||0000-0003-0528-7074
author2_role author
author
author
dc.subject.none.fl_str_mv Underwater explosions
Lagrange equations
CIMNE Monograph
Monografía CIMNE
Lagrange, Equacions de
Explosions
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
Àrees temàtiques de la UPC::Física::Física de fluids
topic Underwater explosions
Lagrange equations
CIMNE Monograph
Monografía CIMNE
Lagrange, Equacions de
Explosions
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
Àrees temàtiques de la UPC::Física::Física de fluids
description The development of efficient algorithms to understand implosion dynamics presents a number of challenges. The foremost challenge is to efficiently represent the coupled compressible fluid dynamics of internal air and surrounding water. Secondly, the method must allow one to accurately detect or follow the interface between the phases. Finally, it must be capable of resolving any shock waves which may be created in air or water during the final stage of the collapse. We present a fully Lagrangian compressible numerical framework for the simulation of underwater implosion. Both air and water are considered compressible and the equations for the Lagrangian shock hydrodynamics are stabilized via a variationally consistent multiscale method. A nodally perfect matched definition of the interface is used and then the kinetic variables, pressure and density, are duplicated at the interface level. An adaptive mesh generation procedure, which respects the interface connectivities, is applied to provide enough refinement at the interface level. This framework is then used to simulate the underwater implosion of a large cylindrical bubble, with a size in the order of cm. Rapid collapse and growth of the bubble occurred on very small spatial (0.3mm), and time (0.1ms) scales followed by Rayleigh-Taylor instabilities at the interface, in addition to the shock waves traveling in the fluid domains are among the phenomena that are observed in the simulation. We then extend our framework to model the underwater implosion of a cylindrical aluminum container considering a monolithic fluid-structure interaction (FSI). The aluminum cylinder, which separates the internal atmospheric-pressure air from the external high-pressure water, is modeled by a three node rotation-free shell element. The cylinder undergoes fast transient deformations, large enough to produce self-contact along it. A novel elastic frictionless contact model is used to detect contact and compute the non-penetrating forces in the discretized domain between the mid-planes of the shell. Two schemes are tested, implicit using the predictor/multi-corrector Bossak scheme, and explicit, using the forward Euler scheme. The results of the two simulations are compared with experimental data.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-01-01
2014
2014-11-10
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/2117/24658
url https://hdl.handle.net/2117/24658
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 Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE)
publisher.none.fl_str_mv Centre Internacional de Mètodes Numèrics en Enginyeria (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 15,301603

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