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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00221120_v699_n_p263_Mininni |
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todo:paper_00221120_v699_n_p263_Mininni2023-10-03T14:26:34Z Isotropization at small scales of rotating helically driven turbulence Mininni, P.D. Rosenberg, D. Pouquet, A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00221120_v699_n_p263_Mininni |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
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, P.D. Rosenberg, D. Pouquet, A. 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. |
| format |
JOUR |
| author |
Mininni, P.D. Rosenberg, D. Pouquet, A. |
| author_facet |
Mininni, P.D. Rosenberg, D. Pouquet, A. |
| author_sort |
Mininni, P.D. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_00221120_v699_n_p263_Mininni |
| work_keys_str_mv |
AT mininnipd isotropizationatsmallscalesofrotatinghelicallydriventurbulence AT rosenbergd isotropizationatsmallscalesofrotatinghelicallydriventurbulence AT pouqueta isotropizationatsmallscalesofrotatinghelicallydriventurbulence |
| _version_ |
1782028179775422464 |