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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2016
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221120_v809_n_p821_ClarkDiLeoni http://hdl.handle.net/20.500.12110/paper_00221120_v809_n_p821_ClarkDiLeoni |
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paper:paper_00221120_v809_n_p821_ClarkDiLeoni2023-06-08T14:45:56Z Quantifying resonant and near-resonant interactions in rotating turbulence Mininni, Pablo Daniel 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. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221120_v809_n_p821_ClarkDiLeoni http://hdl.handle.net/20.500.12110/paper_00221120_v809_n_p821_ClarkDiLeoni |
| institution |
Universidad de Buenos Aires |
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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 Mininni, Pablo Daniel 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. |
| author |
Mininni, Pablo Daniel |
| author_facet |
Mininni, Pablo Daniel |
| author_sort |
Mininni, Pablo Daniel |
| 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 |
| publishDate |
2016 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221120_v809_n_p821_ClarkDiLeoni http://hdl.handle.net/20.500.12110/paper_00221120_v809_n_p821_ClarkDiLeoni |
| work_keys_str_mv |
AT mininnipablodaniel quantifyingresonantandnearresonantinteractionsinrotatingturbulence |
| _version_ |
1768545081132843008 |