Decay of Batchelor and Saffman rotating turbulence

The decay rate of isotropic and homogeneous turbulence is known to be affected by the large-scale spectrum of the initial perturbations, associated with at least two canonical self-preserving solutions of the von Kármán-Howarth equation: the so-called Batchelor and Saffman spectra. The effect of lon...

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Autores principales: Teitelbaum, T., Mininni, P.D.
Formato: JOUR
Materias:
Anisotropic flows
Decay rate
Flow evolution
Homogeneous turbulence
Initial energy
Initial perturbation
Integral quantity
Long range correlations
Power-law
Rotating turbulence
Self-similar
Total energy
Anisotropy
Decay (organic)
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v86_n6_p_Teitelbaum
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_15393755_v86_n6_p_Teitelbaum
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spelling todo:paper_15393755_v86_n6_p_Teitelbaum2023-10-03T16:22:42Z Decay of Batchelor and Saffman rotating turbulence Teitelbaum, T. Mininni, P.D. Anisotropic flows Decay rate Flow evolution Homogeneous turbulence Initial energy Initial perturbation Integral quantity Long range correlations Power-law Rotating turbulence Self-similar Total energy Anisotropy Decay (organic) The decay rate of isotropic and homogeneous turbulence is known to be affected by the large-scale spectrum of the initial perturbations, associated with at least two canonical self-preserving solutions of the von Kármán-Howarth equation: the so-called Batchelor and Saffman spectra. The effect of long-range correlations in the decay of anisotropic flows is less clear, and recently it has been proposed that the decay rate of rotating turbulence may be independent of the large-scale spectrum of the initial perturbations. We analyze numerical simulations of freely decaying rotating turbulence with initial energy spectra ∼k4 (Batchelor turbulence) and ∼k2 (Saffman turbulence) and show that, while a self-similar decay can not be identified for the total energy, the decay is indeed affected by long-range correlations. The decay of two- and three-dimensional modes follows distinct power laws in each case, which are consistent with predictions derived from the anisotropic von Kármán-Howarth equation, and with conservation of anisotropic integral quantities by the flow evolution. © 2012 American Physical Society. Fil:Teitelbaum, T. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15393755_v86_n6_p_Teitelbaum
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Anisotropic flows
Decay rate
Flow evolution
Homogeneous turbulence
Initial energy
Initial perturbation
Integral quantity
Long range correlations
Power-law
Rotating turbulence
Self-similar
Total energy
Anisotropy
Decay (organic)
spellingShingle Anisotropic flows
Decay rate
Flow evolution
Homogeneous turbulence
Initial energy
Initial perturbation
Integral quantity
Long range correlations
Power-law
Rotating turbulence
Self-similar
Total energy
Anisotropy
Decay (organic)
Teitelbaum, T.
Mininni, P.D.
Decay of Batchelor and Saffman rotating turbulence
topic_facet Anisotropic flows
Decay rate
Flow evolution
Homogeneous turbulence
Initial energy
Initial perturbation
Integral quantity
Long range correlations
Power-law
Rotating turbulence
Self-similar
Total energy
Anisotropy
Decay (organic)
description The decay rate of isotropic and homogeneous turbulence is known to be affected by the large-scale spectrum of the initial perturbations, associated with at least two canonical self-preserving solutions of the von Kármán-Howarth equation: the so-called Batchelor and Saffman spectra. The effect of long-range correlations in the decay of anisotropic flows is less clear, and recently it has been proposed that the decay rate of rotating turbulence may be independent of the large-scale spectrum of the initial perturbations. We analyze numerical simulations of freely decaying rotating turbulence with initial energy spectra ∼k4 (Batchelor turbulence) and ∼k2 (Saffman turbulence) and show that, while a self-similar decay can not be identified for the total energy, the decay is indeed affected by long-range correlations. The decay of two- and three-dimensional modes follows distinct power laws in each case, which are consistent with predictions derived from the anisotropic von Kármán-Howarth equation, and with conservation of anisotropic integral quantities by the flow evolution. © 2012 American Physical Society.
format JOUR
author Teitelbaum, T.
Mininni, P.D.
author_facet Teitelbaum, T.
Mininni, P.D.
author_sort Teitelbaum, T.
title Decay of Batchelor and Saffman rotating turbulence
title_short Decay of Batchelor and Saffman rotating turbulence
title_full Decay of Batchelor and Saffman rotating turbulence
title_fullStr Decay of Batchelor and Saffman rotating turbulence
title_full_unstemmed Decay of Batchelor and Saffman rotating turbulence
title_sort decay of batchelor and saffman rotating turbulence
url http://hdl.handle.net/20.500.12110/paper_15393755_v86_n6_p_Teitelbaum
work_keys_str_mv AT teitelbaumt decayofbatchelorandsaffmanrotatingturbulence
AT mininnipd decayofbatchelorandsaffmanrotatingturbulence
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