Large-scale behavior and statistical equilibria in rotating flows

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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...

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Autores principales: Mininni, P.D., Dmitruk, P., Matthaeus, W.H., Pouquet, A.
Formato: Artículo publishedVersion
Publicado: 2011
Materias:
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
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v83_n1_p_Mininni
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_15393755_v83_n1_p_Mininni_oai
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Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_15393755_v83_n1_p_Mininni_oai
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spelling I28-R145-paper_15393755_v83_n1_p_Mininni_oai2024-08-16 Mininni, P.D. Dmitruk, P. Matthaeus, W.H. Pouquet, A. 2011 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. application/pdf http://hdl.handle.net/20.500.12110/paper_15393755_v83_n1_p_Mininni info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2011;83(1) 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 Large-scale behavior and statistical equilibria in rotating flows info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_15393755_v83_n1_p_Mininni_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
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
spellingShingle 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
Mininni, P.D.
Dmitruk, P.
Matthaeus, W.H.
Pouquet, A.
Large-scale behavior and statistical equilibria in rotating flows
topic_facet 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
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.
format Artículo
Artículo
publishedVersion
author Mininni, P.D.
Dmitruk, P.
Matthaeus, W.H.
Pouquet, A.
author_facet Mininni, P.D.
Dmitruk, P.
Matthaeus, W.H.
Pouquet, A.
author_sort Mininni, P.D.
title Large-scale behavior and statistical equilibria in rotating flows
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
publishDate 2011
url http://hdl.handle.net/20.500.12110/paper_15393755_v83_n1_p_Mininni
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_15393755_v83_n1_p_Mininni_oai
work_keys_str_mv AT mininnipd largescalebehaviorandstatisticalequilibriainrotatingflows
AT dmitrukp largescalebehaviorandstatisticalequilibriainrotatingflows
AT matthaeuswh largescalebehaviorandstatisticalequilibriainrotatingflows
AT pouqueta largescalebehaviorandstatisticalequilibriainrotatingflows
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