Quantifying resonant and near-resonant interactions in rotating turbulence

Nonlinear triadic interactions are at the heart of our understanding of turbulence. In flows where waves are present, modes must not only be in a triad to interact, but their frequencies must also satisfy an extra condition: the interactions that dominate the energy transfer are expected to be reson...

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Autores principales:	Clark Di Leoni, P., Mininni, P.D.
Formato:	JOUR
Materias:	Rotating turbulence turbulence theory wave-turbulence interactions Energy transfer Coupling of modes Direct measurement Near-resonant interactions Parametric instabilities Rossby numbers Turbulence theory Wave-turbulence interaction Turbulence nonlinearity quantitative analysis Rossby number rotating flow theoretical study turbulence turbulent flow
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_00221120_v809_n_p821_ClarkDiLeoni
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_00221120_v809_n_p821_ClarkDiLeoni
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spelling	todo:paper_00221120_v809_n_p821_ClarkDiLeoni2023-10-03T14:26:34Z Quantifying resonant and near-resonant interactions in rotating turbulence Clark Di Leoni, P. Mininni, P.D. Rotating turbulence turbulence theory wave-turbulence interactions Energy transfer Coupling of modes Direct measurement Near-resonant interactions Parametric instabilities Rossby numbers Rotating turbulence Turbulence theory Wave-turbulence interaction Turbulence nonlinearity quantitative analysis Rossby number rotating flow theoretical study turbulence turbulent flow Nonlinear triadic interactions are at the heart of our understanding of turbulence. In flows where waves are present, modes must not only be in a triad to interact, but their frequencies must also satisfy an extra condition: the interactions that dominate the energy transfer are expected to be resonant. We derive equations that allow direct measurement of the actual degree of resonance of each triad in a turbulent flow. We then apply the method to the case of rotating turbulence, where eddies coexist with inertial waves. We show that for a range of wavenumbers, resonant and near-resonant triads are dominant, the latter allowing a transfer of net energy towards two-dimensional modes that would be inaccessible otherwise. The results are in good agreement with approximations often done in theories of rotating turbulence, and with the mechanism of parametric instability proposed to explain the development of anisotropy in such flows. We also observe that, at least for the moderate Rossby numbers studied here, marginally near-resonant and non-resonant triads play a non-negligible role in the coupling of modes. © 2016 Cambridge University Press. 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_00221120_v809_n_p821_ClarkDiLeoni
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Rotating turbulence turbulence theory wave-turbulence interactions Energy transfer Coupling of modes Direct measurement Near-resonant interactions Parametric instabilities Rossby numbers Rotating turbulence Turbulence theory Wave-turbulence interaction Turbulence nonlinearity quantitative analysis Rossby number rotating flow theoretical study turbulence turbulent flow
spellingShingle	Rotating turbulence turbulence theory wave-turbulence interactions Energy transfer Coupling of modes Direct measurement Near-resonant interactions Parametric instabilities Rossby numbers Rotating turbulence Turbulence theory Wave-turbulence interaction Turbulence nonlinearity quantitative analysis Rossby number rotating flow theoretical study turbulence turbulent flow Clark Di Leoni, P. Mininni, P.D. Quantifying resonant and near-resonant interactions in rotating turbulence
topic_facet	Rotating turbulence turbulence theory wave-turbulence interactions Energy transfer Coupling of modes Direct measurement Near-resonant interactions Parametric instabilities Rossby numbers Rotating turbulence Turbulence theory Wave-turbulence interaction Turbulence nonlinearity quantitative analysis Rossby number rotating flow theoretical study turbulence turbulent flow
description	Nonlinear triadic interactions are at the heart of our understanding of turbulence. In flows where waves are present, modes must not only be in a triad to interact, but their frequencies must also satisfy an extra condition: the interactions that dominate the energy transfer are expected to be resonant. We derive equations that allow direct measurement of the actual degree of resonance of each triad in a turbulent flow. We then apply the method to the case of rotating turbulence, where eddies coexist with inertial waves. We show that for a range of wavenumbers, resonant and near-resonant triads are dominant, the latter allowing a transfer of net energy towards two-dimensional modes that would be inaccessible otherwise. The results are in good agreement with approximations often done in theories of rotating turbulence, and with the mechanism of parametric instability proposed to explain the development of anisotropy in such flows. We also observe that, at least for the moderate Rossby numbers studied here, marginally near-resonant and non-resonant triads play a non-negligible role in the coupling of modes. © 2016 Cambridge University Press.
format	JOUR
author	Clark Di Leoni, P. Mininni, P.D.
author_facet	Clark Di Leoni, P. Mininni, P.D.
author_sort	Clark Di Leoni, P.
title	Quantifying resonant and near-resonant interactions in rotating turbulence
title_short	Quantifying resonant and near-resonant interactions in rotating turbulence
title_full	Quantifying resonant and near-resonant interactions in rotating turbulence
title_fullStr	Quantifying resonant and near-resonant interactions in rotating turbulence
title_full_unstemmed	Quantifying resonant and near-resonant interactions in rotating turbulence
title_sort	quantifying resonant and near-resonant interactions in rotating turbulence
url	http://hdl.handle.net/20.500.12110/paper_00221120_v809_n_p821_ClarkDiLeoni
work_keys_str_mv	AT clarkdileonip quantifyingresonantandnearresonantinteractionsinrotatingturbulence AT mininnipd quantifyingresonantandnearresonantinteractionsinrotatingturbulence
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Quantifying resonant and near-resonant interactions in rotating turbulence

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