Helical turbulence prevails over inertial waves in forced rotating flows at high reynolds and low rossby numbers
Astudy of spectral laws for helical turbulence in the presence of solid body rotation up to Reynolds numbers Re ~ 1 × 105 and down to Rossby numbers Ro ~ 3 × 10-3 is presented. The forcing function is a fully helical flow that can also be viewed as mimicking the effect of atmospheric convective moti...
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2011
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224928_v68_n11_p2757_Baerenzung http://hdl.handle.net/20.500.12110/paper_00224928_v68_n11_p2757_Baerenzung |
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paper:paper_00224928_v68_n11_p2757_Baerenzung2023-06-08T14:51:10Z Helical turbulence prevails over inertial waves in forced rotating flows at high reynolds and low rossby numbers Mininni, Pablo Daniel Model comparison Numerical analysis/modeling Turbulence Convective motions Eddy dissipation Energy cascade Forcing function Helical flows Helical turbulence Helicities Helicity cascades Inertial waves Its efficiencies Low Rossby number Model comparison Parameter spaces Reynolds RMS velocities Rossby numbers Rotating flow Rotation rate Small scale Solid-body rotation Statistical features Turbulent energies Under-resolved DNS Internet protocols Reynolds number Turbulence Rotation atmospheric convection atmospheric motion computer simulation eddy isotropy large eddy simulation numerical method numerical model Reynolds number Rossby number rotating flow turbulence Astudy of spectral laws for helical turbulence in the presence of solid body rotation up to Reynolds numbers Re ~ 1 × 105 and down to Rossby numbers Ro ~ 3 × 10-3 is presented. The forcing function is a fully helical flow that can also be viewed as mimicking the effect of atmospheric convective motions. Variants of a model developed previously by Baerenzung et al. are tested in the helical case against direct numerical simulation (DNS), using data from a run on a grid of 15363 points; its efficiency is also contrasted against a spectral largeeddy simulation (LES) by Chollet and Lesieur, as well as an underresolved DNS. The model including the contribution of helicity to the spectral eddy dissipation and eddy noise behaves best, allowing the recovery of statistical features of the flow. Even if the model is based on isotropic assumptions, the authors demonstrated in a previous study that the small scales of flows at moderate Rossby number can be considered to be isotropic in the range of parameters considered here and that therefore theirmodel is appropriate to treat this kind of flow. An exploration of parameter space is then performed beyond what is feasible today using DNS. At a fixed Reynolds number, lowering the Rossby number leads to a regime of wave-mediated inertial helicity cascades to small scales. However, at a fixed Rossby number, increasing the Reynolds number leads the system to be dominated by turbulent energy exchanges where the role of inertial waves is to weaken the direct cascade of energy while strengthening the large scales. It is found that a useful parameter for partitioning the data is NC = ReRo = U2rms/[vΩ], with Urms, ν, and Ω being the rms velocity, the viscosity, and the rotation rate, respectively. The parameter that determines how much the energy cascade is direct or inverse-in which case the cascade to small scales is predominantly that of helicity-is linked to Ro. © 2011 American Meteorological Society. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224928_v68_n11_p2757_Baerenzung http://hdl.handle.net/20.500.12110/paper_00224928_v68_n11_p2757_Baerenzung |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Model comparison Numerical analysis/modeling Turbulence Convective motions Eddy dissipation Energy cascade Forcing function Helical flows Helical turbulence Helicities Helicity cascades Inertial waves Its efficiencies Low Rossby number Model comparison Parameter spaces Reynolds RMS velocities Rossby numbers Rotating flow Rotation rate Small scale Solid-body rotation Statistical features Turbulent energies Under-resolved DNS Internet protocols Reynolds number Turbulence Rotation atmospheric convection atmospheric motion computer simulation eddy isotropy large eddy simulation numerical method numerical model Reynolds number Rossby number rotating flow turbulence |
| spellingShingle |
Model comparison Numerical analysis/modeling Turbulence Convective motions Eddy dissipation Energy cascade Forcing function Helical flows Helical turbulence Helicities Helicity cascades Inertial waves Its efficiencies Low Rossby number Model comparison Parameter spaces Reynolds RMS velocities Rossby numbers Rotating flow Rotation rate Small scale Solid-body rotation Statistical features Turbulent energies Under-resolved DNS Internet protocols Reynolds number Turbulence Rotation atmospheric convection atmospheric motion computer simulation eddy isotropy large eddy simulation numerical method numerical model Reynolds number Rossby number rotating flow turbulence Mininni, Pablo Daniel Helical turbulence prevails over inertial waves in forced rotating flows at high reynolds and low rossby numbers |
| topic_facet |
Model comparison Numerical analysis/modeling Turbulence Convective motions Eddy dissipation Energy cascade Forcing function Helical flows Helical turbulence Helicities Helicity cascades Inertial waves Its efficiencies Low Rossby number Model comparison Parameter spaces Reynolds RMS velocities Rossby numbers Rotating flow Rotation rate Small scale Solid-body rotation Statistical features Turbulent energies Under-resolved DNS Internet protocols Reynolds number Turbulence Rotation atmospheric convection atmospheric motion computer simulation eddy isotropy large eddy simulation numerical method numerical model Reynolds number Rossby number rotating flow turbulence |
| description |
Astudy of spectral laws for helical turbulence in the presence of solid body rotation up to Reynolds numbers Re ~ 1 × 105 and down to Rossby numbers Ro ~ 3 × 10-3 is presented. The forcing function is a fully helical flow that can also be viewed as mimicking the effect of atmospheric convective motions. Variants of a model developed previously by Baerenzung et al. are tested in the helical case against direct numerical simulation (DNS), using data from a run on a grid of 15363 points; its efficiency is also contrasted against a spectral largeeddy simulation (LES) by Chollet and Lesieur, as well as an underresolved DNS. The model including the contribution of helicity to the spectral eddy dissipation and eddy noise behaves best, allowing the recovery of statistical features of the flow. Even if the model is based on isotropic assumptions, the authors demonstrated in a previous study that the small scales of flows at moderate Rossby number can be considered to be isotropic in the range of parameters considered here and that therefore theirmodel is appropriate to treat this kind of flow. An exploration of parameter space is then performed beyond what is feasible today using DNS. At a fixed Reynolds number, lowering the Rossby number leads to a regime of wave-mediated inertial helicity cascades to small scales. However, at a fixed Rossby number, increasing the Reynolds number leads the system to be dominated by turbulent energy exchanges where the role of inertial waves is to weaken the direct cascade of energy while strengthening the large scales. It is found that a useful parameter for partitioning the data is NC = ReRo = U2rms/[vΩ], with Urms, ν, and Ω being the rms velocity, the viscosity, and the rotation rate, respectively. The parameter that determines how much the energy cascade is direct or inverse-in which case the cascade to small scales is predominantly that of helicity-is linked to Ro. © 2011 American Meteorological Society. |
| author |
Mininni, Pablo Daniel |
| author_facet |
Mininni, Pablo Daniel |
| author_sort |
Mininni, Pablo Daniel |
| title |
Helical turbulence prevails over inertial waves in forced rotating flows at high reynolds and low rossby numbers |
| title_short |
Helical turbulence prevails over inertial waves in forced rotating flows at high reynolds and low rossby numbers |
| title_full |
Helical turbulence prevails over inertial waves in forced rotating flows at high reynolds and low rossby numbers |
| title_fullStr |
Helical turbulence prevails over inertial waves in forced rotating flows at high reynolds and low rossby numbers |
| title_full_unstemmed |
Helical turbulence prevails over inertial waves in forced rotating flows at high reynolds and low rossby numbers |
| title_sort |
helical turbulence prevails over inertial waves in forced rotating flows at high reynolds and low rossby numbers |
| publishDate |
2011 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224928_v68_n11_p2757_Baerenzung http://hdl.handle.net/20.500.12110/paper_00224928_v68_n11_p2757_Baerenzung |
| work_keys_str_mv |
AT mininnipablodaniel helicalturbulenceprevailsoverinertialwavesinforcedrotatingflowsathighreynoldsandlowrossbynumbers |
| _version_ |
1768544260310695936 |