The interplay between helicity and rotation in turbulence: Implications for scaling laws and small-scale dynamics

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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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Autores principales: Pouquet, A., Mininni, P.D.
Formato: Artículo publishedVersion
Publicado: 2010
Materias:
Helicity
Intermittency
Scaling laws
Structures
Turbulence
Universality
Computer simulation
Rotation
Spectroscopy
Statistical mechanics
Astrophysical flows
Beltrami
Critical phenomenon
Energy spectra
Helical turbulence
Helicities
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
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1364503X_v368_n1916_p1635_Pouquet
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_1364503X_v368_n1916_p1635_Pouquet_oai
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Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_1364503X_v368_n1916_p1635_Pouquet_oai
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spelling I28-R145-paper_1364503X_v368_n1916_p1635_Pouquet_oai2024-08-16 Pouquet, A. Mininni, P.D. 2010 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. application/pdf http://hdl.handle.net/20.500.12110/paper_1364503X_v368_n1916_p1635_Pouquet info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Philos. Trans. R. Soc. A Math. Phys. Eng. Sci. 2010;368(1916):1635-1662 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 The interplay between helicity and rotation in turbulence: Implications for scaling laws and small-scale dynamics info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_1364503X_v368_n1916_p1635_Pouquet_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (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
Pouquet, A.
Mininni, P.D.
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.
format Artículo
Artículo
publishedVersion
author Pouquet, A.
Mininni, P.D.
author_facet Pouquet, A.
Mininni, P.D.
author_sort Pouquet, A.
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 http://hdl.handle.net/20.500.12110/paper_1364503X_v368_n1916_p1635_Pouquet
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_1364503X_v368_n1916_p1635_Pouquet_oai
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