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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Detalles Bibliográficos
Autores principales:	Teitelbaum, Tomás, Mininni, Pablo Daniel
Publicado:	2012
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:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v86_n6_p_Teitelbaum 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	paper:paper_15393755_v86_n6_p_Teitelbaum
record_format	dspace
spelling	paper:paper_15393755_v86_n6_p_Teitelbaum2023-06-08T16:20:55Z Decay of Batchelor and Saffman rotating turbulence Teitelbaum, Tomás Mininni, Pablo Daniel 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. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v86_n6_p_Teitelbaum 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, Tomás Mininni, Pablo Daniel 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.
author	Teitelbaum, Tomás Mininni, Pablo Daniel
author_facet	Teitelbaum, Tomás Mininni, Pablo Daniel
author_sort	Teitelbaum, Tomás
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
publishDate	2012
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v86_n6_p_Teitelbaum http://hdl.handle.net/20.500.12110/paper_15393755_v86_n6_p_Teitelbaum
work_keys_str_mv	AT teitelbaumtomas decayofbatchelorandsaffmanrotatingturbulence AT mininnipablodaniel decayofbatchelorandsaffmanrotatingturbulence
_version_	1768542194948374528

Decay of Batchelor and Saffman rotating turbulence

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