The decay of turbulence in rotating flows

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We present a parametric space study of the decay of turbulence in rotating flows combining direct numerical simulations, large eddy simulations, and phenomenological theory. Several cases are considered: (1) the effect of varying the characteristic scale of the initial conditions when compared with...

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Autores principales: Teitelbaum, T., Mininni, P.D.
Formato: JOUR
Materias:
Decay law
Energy decay
Energy spectra
Enstrophy
Helicities
Initial conditions
Large-scale energy spectrum
Parametric spaces
Phenomenological theory
Random flows
Rotating flow
Taylor-Green vortex
Time evolutions
Anisotropy
Reynolds number
Rotation
Rotational flow
Spectroscopy
Statistical methods
Turbulence
Vortex flow
Decay (organic)
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10706631_v23_n6_p_Teitelbaum
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_10706631_v23_n6_p_Teitelbaum
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spelling todo:paper_10706631_v23_n6_p_Teitelbaum2023-10-03T16:02:26Z The decay of turbulence in rotating flows Teitelbaum, T. Mininni, P.D. Decay law Energy decay Energy spectra Enstrophy Helicities Initial conditions Large-scale energy spectrum Parametric spaces Phenomenological theory Random flows Rotating flow Taylor-Green vortex Time evolutions Anisotropy Reynolds number Rotation Rotational flow Spectroscopy Statistical methods Turbulence Vortex flow Decay (organic) We present a parametric space study of the decay of turbulence in rotating flows combining direct numerical simulations, large eddy simulations, and phenomenological theory. Several cases are considered: (1) the effect of varying the characteristic scale of the initial conditions when compared with the size of the box, to mimic "bounded" and "unbounded" flows; (2) the effect of helicity (correlation between the velocity and vorticity); (3) the effect of Rossby and Reynolds numbers; and (4) the effect of anisotropy in the initial conditions. Initial conditions include the Taylor-Green vortex, the Arn'old-Beltrami-Childress flow, and random flows with large-scale energy spectrum proportional to k4. The decay laws obtained in the simulations for the energy, helicity, and enstrophy in each case can be explained with phenomenological arguments that consider separate decays for two-dimensional and three-dimensional modes and that take into account the role of helicity and rotation in slowing down the energy decay. The time evolution of the energy spectrum and development of anisotropies in the simulations are also discussed. Finally, the effect of rotation and helicity in the skewness and kurtosis of the flow is considered. © 2011 American Institute of Physics. 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_10706631_v23_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 Decay law
Energy decay
Energy spectra
Enstrophy
Helicities
Initial conditions
Large-scale energy spectrum
Parametric spaces
Phenomenological theory
Random flows
Rotating flow
Taylor-Green vortex
Time evolutions
Anisotropy
Reynolds number
Rotation
Rotational flow
Spectroscopy
Statistical methods
Turbulence
Vortex flow
Decay (organic)
spellingShingle Decay law
Energy decay
Energy spectra
Enstrophy
Helicities
Initial conditions
Large-scale energy spectrum
Parametric spaces
Phenomenological theory
Random flows
Rotating flow
Taylor-Green vortex
Time evolutions
Anisotropy
Reynolds number
Rotation
Rotational flow
Spectroscopy
Statistical methods
Turbulence
Vortex flow
Decay (organic)
Teitelbaum, T.
Mininni, P.D.
The decay of turbulence in rotating flows
topic_facet Decay law
Energy decay
Energy spectra
Enstrophy
Helicities
Initial conditions
Large-scale energy spectrum
Parametric spaces
Phenomenological theory
Random flows
Rotating flow
Taylor-Green vortex
Time evolutions
Anisotropy
Reynolds number
Rotation
Rotational flow
Spectroscopy
Statistical methods
Turbulence
Vortex flow
Decay (organic)
description We present a parametric space study of the decay of turbulence in rotating flows combining direct numerical simulations, large eddy simulations, and phenomenological theory. Several cases are considered: (1) the effect of varying the characteristic scale of the initial conditions when compared with the size of the box, to mimic "bounded" and "unbounded" flows; (2) the effect of helicity (correlation between the velocity and vorticity); (3) the effect of Rossby and Reynolds numbers; and (4) the effect of anisotropy in the initial conditions. Initial conditions include the Taylor-Green vortex, the Arn'old-Beltrami-Childress flow, and random flows with large-scale energy spectrum proportional to k4. The decay laws obtained in the simulations for the energy, helicity, and enstrophy in each case can be explained with phenomenological arguments that consider separate decays for two-dimensional and three-dimensional modes and that take into account the role of helicity and rotation in slowing down the energy decay. The time evolution of the energy spectrum and development of anisotropies in the simulations are also discussed. Finally, the effect of rotation and helicity in the skewness and kurtosis of the flow is considered. © 2011 American Institute of Physics.
format JOUR
author Teitelbaum, T.
Mininni, P.D.
author_facet Teitelbaum, T.
Mininni, P.D.
author_sort Teitelbaum, T.
title The decay of turbulence in rotating flows
title_short The decay of turbulence in rotating flows
title_full The decay of turbulence in rotating flows
title_fullStr The decay of turbulence in rotating flows
title_full_unstemmed The decay of turbulence in rotating flows
title_sort decay of turbulence in rotating flows
url http://hdl.handle.net/20.500.12110/paper_10706631_v23_n6_p_Teitelbaum
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