Unstable manifolds computation for the 2-D plane Poiseuille flow

We follow the unstable manifold of periodic and quasi-periodic solutions for the Poiseuille problem, using two formulations: holding constant flux or mean pressure gradient. By means of a numerical integrator of the Navier-Stokes equations, we let the fluid evolve from a perturbed unstable solution....

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Detalles Bibliográficos
Autores: Sánchez Casas, José Pablo, Jorba, Angel
Tipo de recurso: artículo
Fecha de publicación:2003
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:2117/1225
Acceso en línea:https://hdl.handle.net/2117/1225
Access Level:acceso abierto
Palabra clave:Differentiable dynamical systems
Fluid mechanics
Poiseuille flow
unstable manifolds
Sistemes dinàmics diferenciables
Teoria ergòdica
Fluids
Vorticitat -- Teoria
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
Classificació AMS::76 Fluid mechanics::76D Incompressible viscous fluids
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spelling Unstable manifolds computation for the 2-D plane Poiseuille flowSánchez Casas, José PabloJorba, AngelDifferentiable dynamical systemsFluid mechanicsPoiseuille flowunstable manifoldsSistemes dinàmics diferenciablesTeoria ergòdicaFluidsVorticitat -- TeoriaClassificació AMS::37 Dynamical systems and ergodic theory::37N ApplicationsClassificació AMS::76 Fluid mechanics::76D Incompressible viscous fluidsWe follow the unstable manifold of periodic and quasi-periodic solutions for the Poiseuille problem, using two formulations: holding constant flux or mean pressure gradient. By means of a numerical integrator of the Navier-Stokes equations, we let the fluid evolve from a perturbed unstable solution. We detect several connections among different configurations of the flow such as laminar, periodic, quasi-periodic with 2 or 3 basic frequencies and more complex sets that we have not been able to classify.20032003-01-0120072007-10-04journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/1225reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 2.5 Spainhttp://creativecommons.org/licenses/by-nc-nd/2.5/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/12252026-05-27T15:37:01Z
dc.title.none.fl_str_mv Unstable manifolds computation for the 2-D plane Poiseuille flow
title Unstable manifolds computation for the 2-D plane Poiseuille flow
spellingShingle Unstable manifolds computation for the 2-D plane Poiseuille flow
Sánchez Casas, José Pablo
Differentiable dynamical systems
Fluid mechanics
Poiseuille flow
unstable manifolds
Sistemes dinàmics diferenciables
Teoria ergòdica
Fluids
Vorticitat -- Teoria
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
Classificació AMS::76 Fluid mechanics::76D Incompressible viscous fluids
title_short Unstable manifolds computation for the 2-D plane Poiseuille flow
title_full Unstable manifolds computation for the 2-D plane Poiseuille flow
title_fullStr Unstable manifolds computation for the 2-D plane Poiseuille flow
title_full_unstemmed Unstable manifolds computation for the 2-D plane Poiseuille flow
title_sort Unstable manifolds computation for the 2-D plane Poiseuille flow
dc.creator.none.fl_str_mv Sánchez Casas, José Pablo
Jorba, Angel
author Sánchez Casas, José Pablo
author_facet Sánchez Casas, José Pablo
Jorba, Angel
author_role author
author2 Jorba, Angel
author2_role author
dc.subject.none.fl_str_mv Differentiable dynamical systems
Fluid mechanics
Poiseuille flow
unstable manifolds
Sistemes dinàmics diferenciables
Teoria ergòdica
Fluids
Vorticitat -- Teoria
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
Classificació AMS::76 Fluid mechanics::76D Incompressible viscous fluids
topic Differentiable dynamical systems
Fluid mechanics
Poiseuille flow
unstable manifolds
Sistemes dinàmics diferenciables
Teoria ergòdica
Fluids
Vorticitat -- Teoria
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
Classificació AMS::76 Fluid mechanics::76D Incompressible viscous fluids
description We follow the unstable manifold of periodic and quasi-periodic solutions for the Poiseuille problem, using two formulations: holding constant flux or mean pressure gradient. By means of a numerical integrator of the Navier-Stokes equations, we let the fluid evolve from a perturbed unstable solution. We detect several connections among different configurations of the flow such as laminar, periodic, quasi-periodic with 2 or 3 basic frequencies and more complex sets that we have not been able to classify.
publishDate 2003
dc.date.none.fl_str_mv 2003
2003-01-01
2007
2007-10-04
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/1225
url https://hdl.handle.net/2117/1225
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 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/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 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/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 15,300724

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