Scale interactions and scaling laws in rotating flows at moderate Rossby numbers and large Reynolds numbers

The effect of rotation is considered to become important when the Rossby number is sufficiently small, as is the case in many geophysical and astrophysical flows. Here we present direct numerical simulations to study the effect of rotation in flows with moderate Rossby numbers (down to Ro ≈ 0.03) bu...

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Autor principal: Mininni, Pablo Daniel
Publicado: 2009
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v21_n1_p_Mininni
http://hdl.handle.net/20.500.12110/paper_10706631_v21_n1_p_Mininni
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spelling paper:paper_10706631_v21_n1_p_Mininni2023-06-08T16:04:31Z Scale interactions and scaling laws in rotating flows at moderate Rossby numbers and large Reynolds numbers Mininni, Pablo Daniel Direct numerical simulation Energy transfer Reynolds number Turbulence Astrophysical flows Axis of rotations Direct transfers Energy injections Energy piles Energy-containing eddies Error bars Intermittency Non locals Numerical simulations Reynolds Rossby numbers Rotating flows Rotation rates Scale interactions Spectral behaviors Spectral spaces Wave vectors Rotation The effect of rotation is considered to become important when the Rossby number is sufficiently small, as is the case in many geophysical and astrophysical flows. Here we present direct numerical simulations to study the effect of rotation in flows with moderate Rossby numbers (down to Ro ≈ 0.03) but at Reynolds numbers large enough to observe the beginning of a turbulent scaling at scales smaller than the energy injection scale. We use coherent forcing at intermediate scales, leaving enough room in the spectral space for an inverse cascade of energy to also develop. We analyze the spectral behavior of the simulations, the shell-to-shell energy transfer, scaling laws and intermittency, as well as the geometry and the anisotropy of the structures in the flow. At late times, the direct transfer of energy at small scales is mediated by interactions with the largest scale in the system, the energy containing eddies with k⊥ ≈ 1, where ⊥ refers to wavevectors perpendicular the axis of rotation. The transfer between modes with wavevector parallel to the rotation is strongly quenched. The inverse cascade of energy at scales larger than the energy injection scale is nonlocal, and energy is transferred directly from small scales to the largest available scale. We observe both a direct and inverse cascade of energy at high rotation rate, indicative that these cascades can take place simultaneously. Also, as time evolves and the energy piles up at the large scales, the intermittency of the direct cascade of energy is preserved while corrections due to intermittency are found to be the same (within error bars) as in homogeneous nonrotating turbulence. © 2009 American Institute of Physics. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v21_n1_p_Mininni http://hdl.handle.net/20.500.12110/paper_10706631_v21_n1_p_Mininni
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Direct numerical simulation
Energy transfer
Reynolds number
Turbulence
Astrophysical flows
Axis of rotations
Direct transfers
Energy injections
Energy piles
Energy-containing eddies
Error bars
Intermittency
Non locals
Numerical simulations
Reynolds
Rossby numbers
Rotating flows
Rotation rates
Scale interactions
Spectral behaviors
Spectral spaces
Wave vectors
Rotation
spellingShingle Direct numerical simulation
Energy transfer
Reynolds number
Turbulence
Astrophysical flows
Axis of rotations
Direct transfers
Energy injections
Energy piles
Energy-containing eddies
Error bars
Intermittency
Non locals
Numerical simulations
Reynolds
Rossby numbers
Rotating flows
Rotation rates
Scale interactions
Spectral behaviors
Spectral spaces
Wave vectors
Rotation
Mininni, Pablo Daniel
Scale interactions and scaling laws in rotating flows at moderate Rossby numbers and large Reynolds numbers
topic_facet Direct numerical simulation
Energy transfer
Reynolds number
Turbulence
Astrophysical flows
Axis of rotations
Direct transfers
Energy injections
Energy piles
Energy-containing eddies
Error bars
Intermittency
Non locals
Numerical simulations
Reynolds
Rossby numbers
Rotating flows
Rotation rates
Scale interactions
Spectral behaviors
Spectral spaces
Wave vectors
Rotation
description The effect of rotation is considered to become important when the Rossby number is sufficiently small, as is the case in many geophysical and astrophysical flows. Here we present direct numerical simulations to study the effect of rotation in flows with moderate Rossby numbers (down to Ro ≈ 0.03) but at Reynolds numbers large enough to observe the beginning of a turbulent scaling at scales smaller than the energy injection scale. We use coherent forcing at intermediate scales, leaving enough room in the spectral space for an inverse cascade of energy to also develop. We analyze the spectral behavior of the simulations, the shell-to-shell energy transfer, scaling laws and intermittency, as well as the geometry and the anisotropy of the structures in the flow. At late times, the direct transfer of energy at small scales is mediated by interactions with the largest scale in the system, the energy containing eddies with k⊥ ≈ 1, where ⊥ refers to wavevectors perpendicular the axis of rotation. The transfer between modes with wavevector parallel to the rotation is strongly quenched. The inverse cascade of energy at scales larger than the energy injection scale is nonlocal, and energy is transferred directly from small scales to the largest available scale. We observe both a direct and inverse cascade of energy at high rotation rate, indicative that these cascades can take place simultaneously. Also, as time evolves and the energy piles up at the large scales, the intermittency of the direct cascade of energy is preserved while corrections due to intermittency are found to be the same (within error bars) as in homogeneous nonrotating turbulence. © 2009 American Institute of Physics.
author Mininni, Pablo Daniel
author_facet Mininni, Pablo Daniel
author_sort Mininni, Pablo Daniel
title Scale interactions and scaling laws in rotating flows at moderate Rossby numbers and large Reynolds numbers
title_short Scale interactions and scaling laws in rotating flows at moderate Rossby numbers and large Reynolds numbers
title_full Scale interactions and scaling laws in rotating flows at moderate Rossby numbers and large Reynolds numbers
title_fullStr Scale interactions and scaling laws in rotating flows at moderate Rossby numbers and large Reynolds numbers
title_full_unstemmed Scale interactions and scaling laws in rotating flows at moderate Rossby numbers and large Reynolds numbers
title_sort scale interactions and scaling laws in rotating flows at moderate rossby numbers and large reynolds numbers
publishDate 2009
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v21_n1_p_Mininni
http://hdl.handle.net/20.500.12110/paper_10706631_v21_n1_p_Mininni
work_keys_str_mv AT mininnipablodaniel scaleinteractionsandscalinglawsinrotatingflowsatmoderaterossbynumbersandlargereynoldsnumbers
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