Large-scale behavior and statistical equilibria in rotating flows
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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15393755_v83_n1_p_Mininni |
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paperaa:paper_15393755_v83_n1_p_Mininni2023-06-12T16:50:41Z Large-scale behavior and statistical equilibria in rotating flows Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2011;83(1) Mininni, P.D. Dmitruk, P. Matthaeus, W.H. Pouquet, A. 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 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. 2011 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15393755_v83_n1_p_Mininni |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| 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 |
| work_keys_str_mv |
AT mininnipd largescalebehaviorandstatisticalequilibriainrotatingflows AT dmitrukp largescalebehaviorandstatisticalequilibriainrotatingflows AT matthaeuswh largescalebehaviorandstatisticalequilibriainrotatingflows AT pouqueta largescalebehaviorandstatisticalequilibriainrotatingflows |
| _version_ |
1769810140464152576 |