Oscillatory convection in rotating spherical shells: low Prandtl number and non-slip boundary conditions

A five-degree model, which reproduces faithfully the sequence of bifurcations and the type of solutions found through numerical simulations of the three-dimensional Boussinesq thermal convection equations in rotating spherical shells with fixed azimuthal symmetry, is derived. A low Prandtl number fl...

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Authors: García González, Fernando|||0000-0003-4507-0486, Sánchez Umbría, Juan|||0000-0002-3271-8012, Dormy, Emmanuel, Net Marcé, Marta|||0000-0002-8034-1854
Format: article
Publication Date:2015
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/82104
Online Access:https://hdl.handle.net/2117/82104
https://dx.doi.org/10.1137/15M100729X
Access Level:Open access
Keyword:Heat -- Convection
Flows (Differentiable dynamical systems)
thermal convection
rotating flows
spherical geometry
modulated wave solutions
period doubling
low-dimensional model
Calor -- Convecció
Fluxos (Sistemes dinàmics diferenciables)
Àrees temàtiques de la UPC::Física
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oai_identifier_str oai:upcommons.upc.edu:2117/82104
network_acronym_str ES
network_name_str España
repository_id_str
spelling Oscillatory convection in rotating spherical shells: low Prandtl number and non-slip boundary conditionsGarcía González, Fernando|||0000-0003-4507-0486Sánchez Umbría, Juan|||0000-0002-3271-8012Dormy, EmmanuelNet Marcé, Marta|||0000-0002-8034-1854Heat -- ConvectionFlows (Differentiable dynamical systems)thermal convectionrotating flowsspherical geometrymodulated wave solutionsperiod doublinglow-dimensional modelCalor -- ConveccióFluxos (Sistemes dinàmics diferenciables)Àrees temàtiques de la UPC::FísicaA five-degree model, which reproduces faithfully the sequence of bifurcations and the type of solutions found through numerical simulations of the three-dimensional Boussinesq thermal convection equations in rotating spherical shells with fixed azimuthal symmetry, is derived. A low Prandtl number fluid of s=0. 1 subject to radial gravity, filling a shell of radius ratio ¿=0.35, differentially heated, and with non-slip boundary conditions, is considered. Periodic, quasi-periodic, and temporal chaotic flows are obtained for a moderately small Ekman number, E=10-4,andatsupercritical Rayleigh numbers of order Ra~O(2Rac). The solutions are classified by means of frequency analysis and Poincaré sections. Resonant phase locking on the quasi-periodic branches,as well as a sequence of period doubling bifurcations, are also detected.Peer Reviewed20152015-10-0120162016-01-27journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/82104https://dx.doi.org/10.1137/15M100729Xreponame: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:2117/821042026-05-27T15:37:01Z
dc.title.none.fl_str_mv Oscillatory convection in rotating spherical shells: low Prandtl number and non-slip boundary conditions
title Oscillatory convection in rotating spherical shells: low Prandtl number and non-slip boundary conditions
spellingShingle Oscillatory convection in rotating spherical shells: low Prandtl number and non-slip boundary conditions
García González, Fernando|||0000-0003-4507-0486
Heat -- Convection
Flows (Differentiable dynamical systems)
thermal convection
rotating flows
spherical geometry
modulated wave solutions
period doubling
low-dimensional model
Calor -- Convecció
Fluxos (Sistemes dinàmics diferenciables)
Àrees temàtiques de la UPC::Física
title_short Oscillatory convection in rotating spherical shells: low Prandtl number and non-slip boundary conditions
title_full Oscillatory convection in rotating spherical shells: low Prandtl number and non-slip boundary conditions
title_fullStr Oscillatory convection in rotating spherical shells: low Prandtl number and non-slip boundary conditions
title_full_unstemmed Oscillatory convection in rotating spherical shells: low Prandtl number and non-slip boundary conditions
title_sort Oscillatory convection in rotating spherical shells: low Prandtl number and non-slip boundary conditions
dc.creator.none.fl_str_mv García González, Fernando|||0000-0003-4507-0486
Sánchez Umbría, Juan|||0000-0002-3271-8012
Dormy, Emmanuel
Net Marcé, Marta|||0000-0002-8034-1854
author García González, Fernando|||0000-0003-4507-0486
author_facet García González, Fernando|||0000-0003-4507-0486
Sánchez Umbría, Juan|||0000-0002-3271-8012
Dormy, Emmanuel
Net Marcé, Marta|||0000-0002-8034-1854
author_role author
author2 Sánchez Umbría, Juan|||0000-0002-3271-8012
Dormy, Emmanuel
Net Marcé, Marta|||0000-0002-8034-1854
author2_role author
author
author
dc.subject.none.fl_str_mv Heat -- Convection
Flows (Differentiable dynamical systems)
thermal convection
rotating flows
spherical geometry
modulated wave solutions
period doubling
low-dimensional model
Calor -- Convecció
Fluxos (Sistemes dinàmics diferenciables)
Àrees temàtiques de la UPC::Física
topic Heat -- Convection
Flows (Differentiable dynamical systems)
thermal convection
rotating flows
spherical geometry
modulated wave solutions
period doubling
low-dimensional model
Calor -- Convecció
Fluxos (Sistemes dinàmics diferenciables)
Àrees temàtiques de la UPC::Física
description A five-degree model, which reproduces faithfully the sequence of bifurcations and the type of solutions found through numerical simulations of the three-dimensional Boussinesq thermal convection equations in rotating spherical shells with fixed azimuthal symmetry, is derived. A low Prandtl number fluid of s=0. 1 subject to radial gravity, filling a shell of radius ratio ¿=0.35, differentially heated, and with non-slip boundary conditions, is considered. Periodic, quasi-periodic, and temporal chaotic flows are obtained for a moderately small Ekman number, E=10-4,andatsupercritical Rayleigh numbers of order Ra~O(2Rac). The solutions are classified by means of frequency analysis and Poincaré sections. Resonant phase locking on the quasi-periodic branches,as well as a sequence of period doubling bifurcations, are also detected.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-10-01
2016
2016-01-27
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://hdl.handle.net/2117/82104
https://dx.doi.org/10.1137/15M100729X
url https://hdl.handle.net/2117/82104
https://dx.doi.org/10.1137/15M100729X
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.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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