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Abstract:

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.

Registro:

Documento: Artículo
Título:Quantifying resonant and near-resonant interactions in rotating turbulence
Autor:Clark Di Leoni, P.; Mininni, P.D.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
Palabras clave: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
Año:2016
Volumen:809
Página de inicio:821
Página de fin:842
DOI: http://dx.doi.org/10.1017/jfm.2016.713
Título revista:Journal of Fluid Mechanics
Título revista abreviado:J. Fluid Mech.
ISSN:00221120
CODEN:JFLSA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221120_v809_n_p821_ClarkDiLeoni

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Citas:

---------- APA ----------
Clark Di Leoni, P. & Mininni, P.D. (2016) . Quantifying resonant and near-resonant interactions in rotating turbulence. Journal of Fluid Mechanics, 809, 821-842.
http://dx.doi.org/10.1017/jfm.2016.713
---------- CHICAGO ----------
Clark Di Leoni, P., Mininni, P.D. "Quantifying resonant and near-resonant interactions in rotating turbulence" . Journal of Fluid Mechanics 809 (2016) : 821-842.
http://dx.doi.org/10.1017/jfm.2016.713
---------- MLA ----------
Clark Di Leoni, P., Mininni, P.D. "Quantifying resonant and near-resonant interactions in rotating turbulence" . Journal of Fluid Mechanics, vol. 809, 2016, pp. 821-842.
http://dx.doi.org/10.1017/jfm.2016.713
---------- VANCOUVER ----------
Clark Di Leoni, P., Mininni, P.D. Quantifying resonant and near-resonant interactions in rotating turbulence. J. Fluid Mech. 2016;809:821-842.
http://dx.doi.org/10.1017/jfm.2016.713