Spectral modeling of rotating turbulent flows

A subgrid-scale spectral model of rotating turbulent flows is tested against direct numerical simulations (DNSs). The case of Taylor-Green forcing is considered, a configuration that mimics the flow between two counter-rotating disks as often used in the laboratory. Computations are performed for mo...

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Autor principal: Mininni, Pablo Daniel
Publicado: 2010
Materias:
Counter rotating
Degree of anisotropy
Eddy viscosity
Eddy viscosity model
Energy spectra
Helicities
Isotropic models
Isotropic turbulence
Parametrizations
Rossby numbers
Scale properties
Small scale
Spectral modeling
Spectral models
Subgrid scale
Under-resolved DNS
Earth atmosphere
Internet protocols
Reynolds number
Rotation
Spectroscopy
Three dimensional
Turbulent flow
Viscosity
Rotating disks
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v22_n2_p1_Baerenzung
http://hdl.handle.net/20.500.12110/paper_10706631_v22_n2_p1_Baerenzung
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10706631_v22_n2_p1_Baerenzung
record_format dspace
spelling paper:paper_10706631_v22_n2_p1_Baerenzung2023-06-08T16:04:31Z Spectral modeling of rotating turbulent flows Mininni, Pablo Daniel Counter rotating Degree of anisotropy Eddy viscosity Eddy viscosity model Energy spectra Helicities Isotropic models Isotropic turbulence Parametrizations Rossby numbers Scale properties Small scale Spectral modeling Spectral models Subgrid scale Under-resolved DNS Earth atmosphere Internet protocols Reynolds number Rotation Spectroscopy Three dimensional Turbulent flow Viscosity Rotating disks A subgrid-scale spectral model of rotating turbulent flows is tested against direct numerical simulations (DNSs). The case of Taylor-Green forcing is considered, a configuration that mimics the flow between two counter-rotating disks as often used in the laboratory. Computations are performed for moderate rotation down to Rossby numbers of 0.03, as can be encountered in the Earth's atmosphere. We provide several measures of the degree of anisotropy of the small scales and conclude that an isotropic model may suffice at moderate Rossby number. The model, developed previously [J. Baerenzung, H. Politano, Y. Ponty, and A. Pouquet, "Spectral modeling of turbulent flows and the role of helicity," Phys. Rev. E77, 046303 (2008)], incorporates eddy viscosity and eddy noise that depend dynamically on the index of the energy spectrum. We show that the model reproduces satisfactorily all large-scale properties of the DNS up to Reynolds numbers of ~104 and for long times after the onset of the inverse cascade of energy; it is also shown to behave better than either the Chollet-Lesieur eddy viscosity model [J. P. Chollet and M. Lesieur, "Parametrization of small scales of three-dimensional isotropic turbulence utilizing spectral closures," J. Atmos. Sci.38, 2747 (1981)] or an under-resolved DNS. © 2010 American Institute of Physics. 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_10706631_v22_n2_p1_Baerenzung http://hdl.handle.net/20.500.12110/paper_10706631_v22_n2_p1_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 Counter rotating
Degree of anisotropy
Eddy viscosity
Eddy viscosity model
Energy spectra
Helicities
Isotropic models
Isotropic turbulence
Parametrizations
Rossby numbers
Scale properties
Small scale
Spectral modeling
Spectral models
Subgrid scale
Under-resolved DNS
Earth atmosphere
Internet protocols
Reynolds number
Rotation
Spectroscopy
Three dimensional
Turbulent flow
Viscosity
Rotating disks
spellingShingle Counter rotating
Degree of anisotropy
Eddy viscosity
Eddy viscosity model
Energy spectra
Helicities
Isotropic models
Isotropic turbulence
Parametrizations
Rossby numbers
Scale properties
Small scale
Spectral modeling
Spectral models
Subgrid scale
Under-resolved DNS
Earth atmosphere
Internet protocols
Reynolds number
Rotation
Spectroscopy
Three dimensional
Turbulent flow
Viscosity
Rotating disks
Mininni, Pablo Daniel
Spectral modeling of rotating turbulent flows
topic_facet Counter rotating
Degree of anisotropy
Eddy viscosity
Eddy viscosity model
Energy spectra
Helicities
Isotropic models
Isotropic turbulence
Parametrizations
Rossby numbers
Scale properties
Small scale
Spectral modeling
Spectral models
Subgrid scale
Under-resolved DNS
Earth atmosphere
Internet protocols
Reynolds number
Rotation
Spectroscopy
Three dimensional
Turbulent flow
Viscosity
Rotating disks
description A subgrid-scale spectral model of rotating turbulent flows is tested against direct numerical simulations (DNSs). The case of Taylor-Green forcing is considered, a configuration that mimics the flow between two counter-rotating disks as often used in the laboratory. Computations are performed for moderate rotation down to Rossby numbers of 0.03, as can be encountered in the Earth's atmosphere. We provide several measures of the degree of anisotropy of the small scales and conclude that an isotropic model may suffice at moderate Rossby number. The model, developed previously [J. Baerenzung, H. Politano, Y. Ponty, and A. Pouquet, "Spectral modeling of turbulent flows and the role of helicity," Phys. Rev. E77, 046303 (2008)], incorporates eddy viscosity and eddy noise that depend dynamically on the index of the energy spectrum. We show that the model reproduces satisfactorily all large-scale properties of the DNS up to Reynolds numbers of ~104 and for long times after the onset of the inverse cascade of energy; it is also shown to behave better than either the Chollet-Lesieur eddy viscosity model [J. P. Chollet and M. Lesieur, "Parametrization of small scales of three-dimensional isotropic turbulence utilizing spectral closures," J. Atmos. Sci.38, 2747 (1981)] or an under-resolved DNS. © 2010 American Institute of Physics.
author Mininni, Pablo Daniel
author_facet Mininni, Pablo Daniel
author_sort Mininni, Pablo Daniel
title Spectral modeling of rotating turbulent flows
title_short Spectral modeling of rotating turbulent flows
title_full Spectral modeling of rotating turbulent flows
title_fullStr Spectral modeling of rotating turbulent flows
title_full_unstemmed Spectral modeling of rotating turbulent flows
title_sort spectral modeling of rotating turbulent flows
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v22_n2_p1_Baerenzung
http://hdl.handle.net/20.500.12110/paper_10706631_v22_n2_p1_Baerenzung
work_keys_str_mv AT mininnipablodaniel spectralmodelingofrotatingturbulentflows
_version_ 1768544561425022976

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