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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2011
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10706631_v23_n6_p_Teitelbaum |
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paperaa:paper_10706631_v23_n6_p_Teitelbaum2023-06-12T16:49:27Z The decay of turbulence in rotating flows Phys. Fluids 2011;23(6) 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. 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_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) |
language |
Inglés |
orig_language_str_mv |
eng |
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 |
Artículo Artículo publishedVersion |
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 |
publishDate |
2011 |
url |
http://hdl.handle.net/20.500.12110/paper_10706631_v23_n6_p_Teitelbaum |
work_keys_str_mv |
AT teitelbaumt thedecayofturbulenceinrotatingflows AT mininnipd thedecayofturbulenceinrotatingflows AT teitelbaumt decayofturbulenceinrotatingflows AT mininnipd decayofturbulenceinrotatingflows |
_version_ |
1769810190996078592 |