Isotropization at small scales of rotating helically driven turbulence
We present numerical evidence of how three-dimensionalization occurs at small scale in rotating turbulence with Beltrami (ABC) forcing, creating helical flow. The Zeman scale ℓ Ω at which the inertial and eddy turn-over times are equal is more than one order of magnitude larger than the dissipation...
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2012
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221120_v699_n_p263_Mininni http://hdl.handle.net/20.500.12110/paper_00221120_v699_n_p263_Mininni |
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paper:paper_00221120_v699_n_p263_Mininni2023-06-08T14:45:56Z Isotropization at small scales of rotating helically driven turbulence Mininni, Pablo Daniel isotropic turbulence rotating turbulence wave-turbulence interactions Beltrami Helical flows Helicities Isotropic turbulence Isotropization Kolmogorov Numerical evidence Rotating turbulence Slow manifolds Small scale Wave-turbulence interaction Engineering Fluid mechanics Reynolds number computer simulation Reynolds number Rossby number rotating flow turbulence turbulent flow We present numerical evidence of how three-dimensionalization occurs at small scale in rotating turbulence with Beltrami (ABC) forcing, creating helical flow. The Zeman scale ℓ Ω at which the inertial and eddy turn-over times are equal is more than one order of magnitude larger than the dissipation scale, with the relevant domains (large-scale inverse cascade of energy, dual regime in the direct cascade of energy E and helicity H, and dissipation) each moderately resolved. These results stem from the analysis of a large direct numerical simulation on a grid of 3072 3 points, with Rossby and Reynolds numbers, respectively, equal to 0.07 and 2.7 × 10 4. At scales smaller than the forcing, a helical wave-modulated inertial law for the energy and helicity spectra is followed beyond ℓ Ω by Kolmogorov spectra for E and H. Looking at the two-dimensional slow manifold, we also show that the helicity spectrum breaks down at ℓ Ω , a clear sign of recovery of three-dimensionality in the small scales. © 2012 Cambridge University Press. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221120_v699_n_p263_Mininni http://hdl.handle.net/20.500.12110/paper_00221120_v699_n_p263_Mininni |
| institution |
Universidad de Buenos Aires |
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I-28 |
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R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
isotropic turbulence rotating turbulence wave-turbulence interactions Beltrami Helical flows Helicities Isotropic turbulence Isotropization Kolmogorov Numerical evidence Rotating turbulence Slow manifolds Small scale Wave-turbulence interaction Engineering Fluid mechanics Reynolds number computer simulation Reynolds number Rossby number rotating flow turbulence turbulent flow |
| spellingShingle |
isotropic turbulence rotating turbulence wave-turbulence interactions Beltrami Helical flows Helicities Isotropic turbulence Isotropization Kolmogorov Numerical evidence Rotating turbulence Slow manifolds Small scale Wave-turbulence interaction Engineering Fluid mechanics Reynolds number computer simulation Reynolds number Rossby number rotating flow turbulence turbulent flow Mininni, Pablo Daniel Isotropization at small scales of rotating helically driven turbulence |
| topic_facet |
isotropic turbulence rotating turbulence wave-turbulence interactions Beltrami Helical flows Helicities Isotropic turbulence Isotropization Kolmogorov Numerical evidence Rotating turbulence Slow manifolds Small scale Wave-turbulence interaction Engineering Fluid mechanics Reynolds number computer simulation Reynolds number Rossby number rotating flow turbulence turbulent flow |
| description |
We present numerical evidence of how three-dimensionalization occurs at small scale in rotating turbulence with Beltrami (ABC) forcing, creating helical flow. The Zeman scale ℓ Ω at which the inertial and eddy turn-over times are equal is more than one order of magnitude larger than the dissipation scale, with the relevant domains (large-scale inverse cascade of energy, dual regime in the direct cascade of energy E and helicity H, and dissipation) each moderately resolved. These results stem from the analysis of a large direct numerical simulation on a grid of 3072 3 points, with Rossby and Reynolds numbers, respectively, equal to 0.07 and 2.7 × 10 4. At scales smaller than the forcing, a helical wave-modulated inertial law for the energy and helicity spectra is followed beyond ℓ Ω by Kolmogorov spectra for E and H. Looking at the two-dimensional slow manifold, we also show that the helicity spectrum breaks down at ℓ Ω , a clear sign of recovery of three-dimensionality in the small scales. © 2012 Cambridge University Press. |
| author |
Mininni, Pablo Daniel |
| author_facet |
Mininni, Pablo Daniel |
| author_sort |
Mininni, Pablo Daniel |
| title |
Isotropization at small scales of rotating helically driven turbulence |
| title_short |
Isotropization at small scales of rotating helically driven turbulence |
| title_full |
Isotropization at small scales of rotating helically driven turbulence |
| title_fullStr |
Isotropization at small scales of rotating helically driven turbulence |
| title_full_unstemmed |
Isotropization at small scales of rotating helically driven turbulence |
| title_sort |
isotropization at small scales of rotating helically driven turbulence |
| publishDate |
2012 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221120_v699_n_p263_Mininni http://hdl.handle.net/20.500.12110/paper_00221120_v699_n_p263_Mininni |
| work_keys_str_mv |
AT mininnipablodaniel isotropizationatsmallscalesofrotatinghelicallydriventurbulence |
| _version_ |
1768542631428620288 |