The interplay between helicity and rotation in turbulence: Implications for scaling laws and small-scale dynamics
Invariance properties of physical systems govern their behaviour: energy conservation in turbulence drives a wide distribution of energy among modes, as observed in geophysical or astrophysical flows. In ideal hydrodynamics, the role of the invariance of helicity (correlation between velocity and it...
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2010
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paper:paper_1364503X_v368_n1916_p1635_Pouquet2023-06-08T16:11:40Z The interplay between helicity and rotation in turbulence: Implications for scaling laws and small-scale dynamics Mininni, Pablo Daniel Helicity Intermittency Scaling laws Structures Turbulence Universality Computer simulation Rotation Scaling laws Spectroscopy Statistical mechanics Astrophysical flows Beltrami Critical phenomenon Energy spectra Helical turbulence Helicities Intermittency Mirror symmetry Numerical simulation Physical systems Renormalization group Rossby numbers Royal society Self-similar Small scale Small-scale dynamics Small-scale structures Three-dimensional energy Turbulence theory Turbulence Invariance properties of physical systems govern their behaviour: energy conservation in turbulence drives a wide distribution of energy among modes, as observed in geophysical or astrophysical flows. In ideal hydrodynamics, the role of the invariance of helicity (correlation between velocity and its curl, measuring departures from mirror symmetry) remains unclear since it does not alter the energy spectrum. However, in the presence of rotation, significant differences emerge between helical and non-helical turbulent flows. We first briefly outline some of the issues such as the partition of energy and helicity among modes. Using massive numerical simulations, we then show that smallscale structures and their intermittency properties differ according to whether helicity is present or not, in particular with respect to the emergence of Beltrami core vortices that are laminar helical vertical updraft vortices. These results point to the discovery of a small parameter besides the Rossby number, a fact that would relate the problem of rotating helical turbulence to that of critical phenomena, through the renormalization group and weak-turbulence theory. This parameter can be associated with the adimensionalized ratio of the energy to helicity flux to small scales, the three-dimensional energy cascade being weak and self-similar. copy; 2010 The Royal Society. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1364503X_v368_n1916_p1635_Pouquet http://hdl.handle.net/20.500.12110/paper_1364503X_v368_n1916_p1635_Pouquet |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Helicity Intermittency Scaling laws Structures Turbulence Universality Computer simulation Rotation Scaling laws Spectroscopy Statistical mechanics Astrophysical flows Beltrami Critical phenomenon Energy spectra Helical turbulence Helicities Intermittency Mirror symmetry Numerical simulation Physical systems Renormalization group Rossby numbers Royal society Self-similar Small scale Small-scale dynamics Small-scale structures Three-dimensional energy Turbulence theory Turbulence |
| spellingShingle |
Helicity Intermittency Scaling laws Structures Turbulence Universality Computer simulation Rotation Scaling laws Spectroscopy Statistical mechanics Astrophysical flows Beltrami Critical phenomenon Energy spectra Helical turbulence Helicities Intermittency Mirror symmetry Numerical simulation Physical systems Renormalization group Rossby numbers Royal society Self-similar Small scale Small-scale dynamics Small-scale structures Three-dimensional energy Turbulence theory Turbulence Mininni, Pablo Daniel The interplay between helicity and rotation in turbulence: Implications for scaling laws and small-scale dynamics |
| topic_facet |
Helicity Intermittency Scaling laws Structures Turbulence Universality Computer simulation Rotation Scaling laws Spectroscopy Statistical mechanics Astrophysical flows Beltrami Critical phenomenon Energy spectra Helical turbulence Helicities Intermittency Mirror symmetry Numerical simulation Physical systems Renormalization group Rossby numbers Royal society Self-similar Small scale Small-scale dynamics Small-scale structures Three-dimensional energy Turbulence theory Turbulence |
| description |
Invariance properties of physical systems govern their behaviour: energy conservation in turbulence drives a wide distribution of energy among modes, as observed in geophysical or astrophysical flows. In ideal hydrodynamics, the role of the invariance of helicity (correlation between velocity and its curl, measuring departures from mirror symmetry) remains unclear since it does not alter the energy spectrum. However, in the presence of rotation, significant differences emerge between helical and non-helical turbulent flows. We first briefly outline some of the issues such as the partition of energy and helicity among modes. Using massive numerical simulations, we then show that smallscale structures and their intermittency properties differ according to whether helicity is present or not, in particular with respect to the emergence of Beltrami core vortices that are laminar helical vertical updraft vortices. These results point to the discovery of a small parameter besides the Rossby number, a fact that would relate the problem of rotating helical turbulence to that of critical phenomena, through the renormalization group and weak-turbulence theory. This parameter can be associated with the adimensionalized ratio of the energy to helicity flux to small scales, the three-dimensional energy cascade being weak and self-similar. copy; 2010 The Royal Society. |
| author |
Mininni, Pablo Daniel |
| author_facet |
Mininni, Pablo Daniel |
| author_sort |
Mininni, Pablo Daniel |
| title |
The interplay between helicity and rotation in turbulence: Implications for scaling laws and small-scale dynamics |
| title_short |
The interplay between helicity and rotation in turbulence: Implications for scaling laws and small-scale dynamics |
| title_full |
The interplay between helicity and rotation in turbulence: Implications for scaling laws and small-scale dynamics |
| title_fullStr |
The interplay between helicity and rotation in turbulence: Implications for scaling laws and small-scale dynamics |
| title_full_unstemmed |
The interplay between helicity and rotation in turbulence: Implications for scaling laws and small-scale dynamics |
| title_sort |
interplay between helicity and rotation in turbulence: implications for scaling laws and small-scale dynamics |
| publishDate |
2010 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1364503X_v368_n1916_p1635_Pouquet http://hdl.handle.net/20.500.12110/paper_1364503X_v368_n1916_p1635_Pouquet |
| work_keys_str_mv |
AT mininnipablodaniel theinterplaybetweenhelicityandrotationinturbulenceimplicationsforscalinglawsandsmallscaledynamics AT mininnipablodaniel interplaybetweenhelicityandrotationinturbulenceimplicationsforscalinglawsandsmallscaledynamics |
| _version_ |
1768542902169894912 |