Quantification of the strength of inertial waves in a rotating turbulent flow
We quantify the strength of the waves and their impact on the energy cascade in rotating turbulence by studying the wave number and frequency energy spectrum, and the time correlation functions of individual Fourier modes in numerical simulations in three dimensions in periodic boxes. From the spect...
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2014
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v26_n3_p_ClarkdiLeoni http://hdl.handle.net/20.500.12110/paper_10706631_v26_n3_p_ClarkdiLeoni |
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paper:paper_10706631_v26_n3_p_ClarkdiLeoni2023-06-08T16:04:34Z Quantification of the strength of inertial waves in a rotating turbulent flow Mininni, Pablo Daniel Dmitruk, Pablo Ariel Dispersions Turbulence Dispersion relations External forcing Frequency energy Remaining energies Rotating turbulence Three dimensions Time correlation functions Wave frequencies Fourier series We quantify the strength of the waves and their impact on the energy cascade in rotating turbulence by studying the wave number and frequency energy spectrum, and the time correlation functions of individual Fourier modes in numerical simulations in three dimensions in periodic boxes. From the spectrum, we find that a significant fraction of the energy is concentrated in modes with wave frequency ω ≈ 0, even when the external forcing injects no energy directly into these modes. However, for modes for which the period of the inertial waves τω is faster than the turnover time τNL, a significant fraction of the remaining energy is concentrated in the modes that satisfy the dispersion relation of the waves. No evidence of accumulation of energy in the modes with τω = τNL is observed, unlike what critical balance arguments predict. From the time correlation functions, we find that for modes with τω < τsw (with tsw the sweeping time) the dominant decorrelation time is the wave period, and that these modes also show a slower modulation on the timescale tNL as assumed in wave turbulence theories. The rest of the modes are decorrelated with the sweeping time, including the very energetic modes with ω ≈ 0. © 2014 AIP Publishing LLC. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Dmitruk, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v26_n3_p_ClarkdiLeoni http://hdl.handle.net/20.500.12110/paper_10706631_v26_n3_p_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 |
Dispersions Turbulence Dispersion relations External forcing Frequency energy Remaining energies Rotating turbulence Three dimensions Time correlation functions Wave frequencies Fourier series |
| spellingShingle |
Dispersions Turbulence Dispersion relations External forcing Frequency energy Remaining energies Rotating turbulence Three dimensions Time correlation functions Wave frequencies Fourier series Mininni, Pablo Daniel Dmitruk, Pablo Ariel Quantification of the strength of inertial waves in a rotating turbulent flow |
| topic_facet |
Dispersions Turbulence Dispersion relations External forcing Frequency energy Remaining energies Rotating turbulence Three dimensions Time correlation functions Wave frequencies Fourier series |
| description |
We quantify the strength of the waves and their impact on the energy cascade in rotating turbulence by studying the wave number and frequency energy spectrum, and the time correlation functions of individual Fourier modes in numerical simulations in three dimensions in periodic boxes. From the spectrum, we find that a significant fraction of the energy is concentrated in modes with wave frequency ω ≈ 0, even when the external forcing injects no energy directly into these modes. However, for modes for which the period of the inertial waves τω is faster than the turnover time τNL, a significant fraction of the remaining energy is concentrated in the modes that satisfy the dispersion relation of the waves. No evidence of accumulation of energy in the modes with τω = τNL is observed, unlike what critical balance arguments predict. From the time correlation functions, we find that for modes with τω < τsw (with tsw the sweeping time) the dominant decorrelation time is the wave period, and that these modes also show a slower modulation on the timescale tNL as assumed in wave turbulence theories. The rest of the modes are decorrelated with the sweeping time, including the very energetic modes with ω ≈ 0. © 2014 AIP Publishing LLC. |
| author |
Mininni, Pablo Daniel Dmitruk, Pablo Ariel |
| author_facet |
Mininni, Pablo Daniel Dmitruk, Pablo Ariel |
| author_sort |
Mininni, Pablo Daniel |
| title |
Quantification of the strength of inertial waves in a rotating turbulent flow |
| title_short |
Quantification of the strength of inertial waves in a rotating turbulent flow |
| title_full |
Quantification of the strength of inertial waves in a rotating turbulent flow |
| title_fullStr |
Quantification of the strength of inertial waves in a rotating turbulent flow |
| title_full_unstemmed |
Quantification of the strength of inertial waves in a rotating turbulent flow |
| title_sort |
quantification of the strength of inertial waves in a rotating turbulent flow |
| publishDate |
2014 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v26_n3_p_ClarkdiLeoni http://hdl.handle.net/20.500.12110/paper_10706631_v26_n3_p_ClarkdiLeoni |
| work_keys_str_mv |
AT mininnipablodaniel quantificationofthestrengthofinertialwavesinarotatingturbulentflow AT dmitrukpabloariel quantificationofthestrengthofinertialwavesinarotatingturbulentflow |
| _version_ |
1768544330597793792 |