Large-scale behavior and statistical equilibria in rotating flows

Autores
Mininni, P.D.; Dmitruk, P.; Matthaeus, W.H.; Pouquet, A.
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We examine long-time properties of the ideal dynamics of three-dimensional flows, in the presence or not of an imposed solid-body rotation and with or without helicity (velocity-vorticity correlation). In all cases, the results agree with the isotropic predictions stemming from statistical mechanics. No accumulation of excitation occurs in the large scales, although, in the dissipative rotating case, anisotropy and accumulation, in the form of an inverse cascade of energy, are known to occur. We attribute this latter discrepancy to the linearity of the term responsible for the emergence of inertial waves. At intermediate times, inertial energy spectra emerge that differ somewhat from classical wave-turbulence expectations and with a trace of large-scale excitation that goes away for long times. These results are discussed in the context of partial two dimensionalization of the flow undergoing strong rotation as advocated by several authors. © 2011 American Physical Society.
Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Dmitruk, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2011;83(1)
Materia
Classical waves
Dimensionalization
Helicities
Inertial energy
Inertial waves
Large-scale excitation
Rotating flow
Solid-body rotation
Three-dimensional flow
Time properties
Spectroscopy
Statistical mechanics
Vortex flow
Rotation
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_15393755_v83_n1_p_Mininni

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repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling Large-scale behavior and statistical equilibria in rotating flowsMininni, P.D.Dmitruk, P.Matthaeus, W.H.Pouquet, A.Classical wavesDimensionalizationHelicitiesInertial energyInertial wavesLarge-scale excitationRotating flowSolid-body rotationThree-dimensional flowTime propertiesSpectroscopyStatistical mechanicsVortex flowRotationWe examine long-time properties of the ideal dynamics of three-dimensional flows, in the presence or not of an imposed solid-body rotation and with or without helicity (velocity-vorticity correlation). In all cases, the results agree with the isotropic predictions stemming from statistical mechanics. No accumulation of excitation occurs in the large scales, although, in the dissipative rotating case, anisotropy and accumulation, in the form of an inverse cascade of energy, are known to occur. We attribute this latter discrepancy to the linearity of the term responsible for the emergence of inertial waves. At intermediate times, inertial energy spectra emerge that differ somewhat from classical wave-turbulence expectations and with a trace of large-scale excitation that goes away for long times. These results are discussed in the context of partial two dimensionalization of the flow undergoing strong rotation as advocated by several authors. © 2011 American Physical Society.Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.Fil:Dmitruk, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2011info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_15393755_v83_n1_p_MininniPhys. Rev. E Stat. Nonlinear Soft Matter Phys. 2011;83(1)reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-09-29T13:42:52Zpaperaa:paper_15393755_v83_n1_p_MininniInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-09-29 13:42:53.487Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Large-scale behavior and statistical equilibria in rotating flows
title Large-scale behavior and statistical equilibria in rotating flows
spellingShingle Large-scale behavior and statistical equilibria in rotating flows
Mininni, P.D.
Classical waves
Dimensionalization
Helicities
Inertial energy
Inertial waves
Large-scale excitation
Rotating flow
Solid-body rotation
Three-dimensional flow
Time properties
Spectroscopy
Statistical mechanics
Vortex flow
Rotation
title_short Large-scale behavior and statistical equilibria in rotating flows
title_full Large-scale behavior and statistical equilibria in rotating flows
title_fullStr Large-scale behavior and statistical equilibria in rotating flows
title_full_unstemmed Large-scale behavior and statistical equilibria in rotating flows
title_sort Large-scale behavior and statistical equilibria in rotating flows
dc.creator.none.fl_str_mv Mininni, P.D.
Dmitruk, P.
Matthaeus, W.H.
Pouquet, A.
author Mininni, P.D.
author_facet Mininni, P.D.
Dmitruk, P.
Matthaeus, W.H.
Pouquet, A.
author_role author
author2 Dmitruk, P.
Matthaeus, W.H.
Pouquet, A.
author2_role author
author
author
dc.subject.none.fl_str_mv Classical waves
Dimensionalization
Helicities
Inertial energy
Inertial waves
Large-scale excitation
Rotating flow
Solid-body rotation
Three-dimensional flow
Time properties
Spectroscopy
Statistical mechanics
Vortex flow
Rotation
topic Classical waves
Dimensionalization
Helicities
Inertial energy
Inertial waves
Large-scale excitation
Rotating flow
Solid-body rotation
Three-dimensional flow
Time properties
Spectroscopy
Statistical mechanics
Vortex flow
Rotation
dc.description.none.fl_txt_mv We examine long-time properties of the ideal dynamics of three-dimensional flows, in the presence or not of an imposed solid-body rotation and with or without helicity (velocity-vorticity correlation). In all cases, the results agree with the isotropic predictions stemming from statistical mechanics. No accumulation of excitation occurs in the large scales, although, in the dissipative rotating case, anisotropy and accumulation, in the form of an inverse cascade of energy, are known to occur. We attribute this latter discrepancy to the linearity of the term responsible for the emergence of inertial waves. At intermediate times, inertial energy spectra emerge that differ somewhat from classical wave-turbulence expectations and with a trace of large-scale excitation that goes away for long times. These results are discussed in the context of partial two dimensionalization of the flow undergoing strong rotation as advocated by several authors. © 2011 American Physical Society.
Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Dmitruk, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
description We examine long-time properties of the ideal dynamics of three-dimensional flows, in the presence or not of an imposed solid-body rotation and with or without helicity (velocity-vorticity correlation). In all cases, the results agree with the isotropic predictions stemming from statistical mechanics. No accumulation of excitation occurs in the large scales, although, in the dissipative rotating case, anisotropy and accumulation, in the form of an inverse cascade of energy, are known to occur. We attribute this latter discrepancy to the linearity of the term responsible for the emergence of inertial waves. At intermediate times, inertial energy spectra emerge that differ somewhat from classical wave-turbulence expectations and with a trace of large-scale excitation that goes away for long times. These results are discussed in the context of partial two dimensionalization of the flow undergoing strong rotation as advocated by several authors. © 2011 American Physical Society.
publishDate 2011
dc.date.none.fl_str_mv 2011
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.12110/paper_15393755_v83_n1_p_Mininni
url http://hdl.handle.net/20.500.12110/paper_15393755_v83_n1_p_Mininni
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2011;83(1)
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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