The decay of turbulence in rotating flows

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, Tomás, Mininni, Pablo Daniel
Publicado:	2011
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:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v23_n6_p_Teitelbaum http://hdl.handle.net/20.500.12110/paper_10706631_v23_n6_p_Teitelbaum
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_10706631_v23_n6_p_Teitelbaum
record_format	dspace
spelling	paper:paper_10706631_v23_n6_p_Teitelbaum2023-06-08T16:04:33Z The decay of turbulence in rotating flows Teitelbaum, Tomás Mininni, Pablo Daniel 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. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v23_n6_p_Teitelbaum 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, Tomás Mininni, Pablo Daniel 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.
author	Teitelbaum, Tomás Mininni, Pablo Daniel
author_facet	Teitelbaum, Tomás Mininni, Pablo Daniel
author_sort	Teitelbaum, Tomás
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
publishDate	2011
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v23_n6_p_Teitelbaum http://hdl.handle.net/20.500.12110/paper_10706631_v23_n6_p_Teitelbaum
work_keys_str_mv	AT teitelbaumtomas thedecayofturbulenceinrotatingflows AT mininnipablodaniel thedecayofturbulenceinrotatingflows AT teitelbaumtomas decayofturbulenceinrotatingflows AT mininnipablodaniel decayofturbulenceinrotatingflows
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The decay of turbulence in rotating flows

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