Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence

Autores
Sen, A.; Mininni, P.D.; Rosenberg, D.; Pouquet, A.
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Rapidly rotating turbulent flow is characterized by the emergence of columnar structures that are representative of quasi-two-dimensional behavior of the flow. It is known that when energy is injected into the fluid at an intermediate scale L f, it cascades towards smaller as well as larger scales. In this paper we analyze the flow in the inverse cascade range at a small but fixed Rossby number, Ro f≈0.05. Several numerical simulations with helical and nonhelical forcing functions are considered in periodic boxes with unit aspect ratio. In order to resolve the inverse cascade range with reasonably large Reynolds number, the analysis is based on large eddy simulations which include the effect of helicity on eddy viscosity and eddy noise. Thus, we model the small scales and resolve explicitly the large scales. We show that the large-scale energy spectrum has at least two solutions: one that is consistent with Kolmogorov-Kraichnan-Batchelor-Leith phenomenology for the inverse cascade of energy in two-dimensional (2D) turbulence with a ∼k⊥-5/3 scaling, and the other that corresponds to a steeper ∼k⊥-3 spectrum in which the three-dimensional (3D) modes release a substantial fraction of their energy per unit time to the 2D modes. The spectrum that emerges depends on the anisotropy of the forcing function, the former solution prevailing for forcings in which more energy is injected into the 2D modes while the latter prevails for isotropic forcing. In the case of anisotropic forcing, whence the energy goes from the 2D to the 3D modes at low wave numbers, large-scale shear is created, resulting in a time scale τ sh, associated with shear, thereby producing a ∼k -1 spectrum for the total energy with the horizontal energy of the 2D modes still following a ∼k⊥-5/3 scaling. © 2012 American Physical Society.
Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2012;86(3)
Materia
Columnar structures
Eddy viscosity
Forcing function
Forcings
Helicities
Large-scale energy spectrum
Nonuniversality
Per unit
Quasi-two-dimensional behavior
Rossby numbers
Rotating turbulence
Small scale
Time-scales
Total energy
Two-dimensional (2D) turbulence
Wave numbers
Anisotropy
Aspect ratio
Reynolds number
Spectroscopy
Three dimensional computer graphics
Shear flow
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_15393755_v86_n3_p_Sen

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oai_identifier_str paperaa:paper_15393755_v86_n3_p_Sen
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network_name_str Biblioteca Digital (UBA-FCEN)
spelling Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulenceSen, A.Mininni, P.D.Rosenberg, D.Pouquet, A.Columnar structuresEddy viscosityForcing functionForcingsHelicitiesLarge-scale energy spectrumNonuniversalityPer unitQuasi-two-dimensional behaviorRossby numbersRotating turbulenceSmall scaleTime-scalesTotal energyTwo-dimensional (2D) turbulenceWave numbersAnisotropyAspect ratioReynolds numberSpectroscopyThree dimensional computer graphicsShear flowRapidly rotating turbulent flow is characterized by the emergence of columnar structures that are representative of quasi-two-dimensional behavior of the flow. It is known that when energy is injected into the fluid at an intermediate scale L f, it cascades towards smaller as well as larger scales. In this paper we analyze the flow in the inverse cascade range at a small but fixed Rossby number, Ro f≈0.05. Several numerical simulations with helical and nonhelical forcing functions are considered in periodic boxes with unit aspect ratio. In order to resolve the inverse cascade range with reasonably large Reynolds number, the analysis is based on large eddy simulations which include the effect of helicity on eddy viscosity and eddy noise. Thus, we model the small scales and resolve explicitly the large scales. We show that the large-scale energy spectrum has at least two solutions: one that is consistent with Kolmogorov-Kraichnan-Batchelor-Leith phenomenology for the inverse cascade of energy in two-dimensional (2D) turbulence with a ∼k⊥-5/3 scaling, and the other that corresponds to a steeper ∼k⊥-3 spectrum in which the three-dimensional (3D) modes release a substantial fraction of their energy per unit time to the 2D modes. The spectrum that emerges depends on the anisotropy of the forcing function, the former solution prevailing for forcings in which more energy is injected into the 2D modes while the latter prevails for isotropic forcing. In the case of anisotropic forcing, whence the energy goes from the 2D to the 3D modes at low wave numbers, large-scale shear is created, resulting in a time scale τ sh, associated with shear, thereby producing a ∼k -1 spectrum for the total energy with the horizontal energy of the 2D modes still following a ∼k⊥-5/3 scaling. © 2012 American Physical Society.Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_15393755_v86_n3_p_SenPhys. Rev. E Stat. Nonlinear Soft Matter Phys. 2012;86(3)reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-09-29T13:42:52Zpaperaa:paper_15393755_v86_n3_p_SenInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-09-29 13:42:53.309Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence
title Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence
spellingShingle Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence
Sen, A.
Columnar structures
Eddy viscosity
Forcing function
Forcings
Helicities
Large-scale energy spectrum
Nonuniversality
Per unit
Quasi-two-dimensional behavior
Rossby numbers
Rotating turbulence
Small scale
Time-scales
Total energy
Two-dimensional (2D) turbulence
Wave numbers
Anisotropy
Aspect ratio
Reynolds number
Spectroscopy
Three dimensional computer graphics
Shear flow
title_short Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence
title_full Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence
title_fullStr Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence
title_full_unstemmed Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence
title_sort Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence
dc.creator.none.fl_str_mv Sen, A.
Mininni, P.D.
Rosenberg, D.
Pouquet, A.
author Sen, A.
author_facet Sen, A.
Mininni, P.D.
Rosenberg, D.
Pouquet, A.
author_role author
author2 Mininni, P.D.
Rosenberg, D.
Pouquet, A.
author2_role author
author
author
dc.subject.none.fl_str_mv Columnar structures
Eddy viscosity
Forcing function
Forcings
Helicities
Large-scale energy spectrum
Nonuniversality
Per unit
Quasi-two-dimensional behavior
Rossby numbers
Rotating turbulence
Small scale
Time-scales
Total energy
Two-dimensional (2D) turbulence
Wave numbers
Anisotropy
Aspect ratio
Reynolds number
Spectroscopy
Three dimensional computer graphics
Shear flow
topic Columnar structures
Eddy viscosity
Forcing function
Forcings
Helicities
Large-scale energy spectrum
Nonuniversality
Per unit
Quasi-two-dimensional behavior
Rossby numbers
Rotating turbulence
Small scale
Time-scales
Total energy
Two-dimensional (2D) turbulence
Wave numbers
Anisotropy
Aspect ratio
Reynolds number
Spectroscopy
Three dimensional computer graphics
Shear flow
dc.description.none.fl_txt_mv Rapidly rotating turbulent flow is characterized by the emergence of columnar structures that are representative of quasi-two-dimensional behavior of the flow. It is known that when energy is injected into the fluid at an intermediate scale L f, it cascades towards smaller as well as larger scales. In this paper we analyze the flow in the inverse cascade range at a small but fixed Rossby number, Ro f≈0.05. Several numerical simulations with helical and nonhelical forcing functions are considered in periodic boxes with unit aspect ratio. In order to resolve the inverse cascade range with reasonably large Reynolds number, the analysis is based on large eddy simulations which include the effect of helicity on eddy viscosity and eddy noise. Thus, we model the small scales and resolve explicitly the large scales. We show that the large-scale energy spectrum has at least two solutions: one that is consistent with Kolmogorov-Kraichnan-Batchelor-Leith phenomenology for the inverse cascade of energy in two-dimensional (2D) turbulence with a ∼k⊥-5/3 scaling, and the other that corresponds to a steeper ∼k⊥-3 spectrum in which the three-dimensional (3D) modes release a substantial fraction of their energy per unit time to the 2D modes. The spectrum that emerges depends on the anisotropy of the forcing function, the former solution prevailing for forcings in which more energy is injected into the 2D modes while the latter prevails for isotropic forcing. In the case of anisotropic forcing, whence the energy goes from the 2D to the 3D modes at low wave numbers, large-scale shear is created, resulting in a time scale τ sh, associated with shear, thereby producing a ∼k -1 spectrum for the total energy with the horizontal energy of the 2D modes still following a ∼k⊥-5/3 scaling. © 2012 American Physical Society.
Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
description Rapidly rotating turbulent flow is characterized by the emergence of columnar structures that are representative of quasi-two-dimensional behavior of the flow. It is known that when energy is injected into the fluid at an intermediate scale L f, it cascades towards smaller as well as larger scales. In this paper we analyze the flow in the inverse cascade range at a small but fixed Rossby number, Ro f≈0.05. Several numerical simulations with helical and nonhelical forcing functions are considered in periodic boxes with unit aspect ratio. In order to resolve the inverse cascade range with reasonably large Reynolds number, the analysis is based on large eddy simulations which include the effect of helicity on eddy viscosity and eddy noise. Thus, we model the small scales and resolve explicitly the large scales. We show that the large-scale energy spectrum has at least two solutions: one that is consistent with Kolmogorov-Kraichnan-Batchelor-Leith phenomenology for the inverse cascade of energy in two-dimensional (2D) turbulence with a ∼k⊥-5/3 scaling, and the other that corresponds to a steeper ∼k⊥-3 spectrum in which the three-dimensional (3D) modes release a substantial fraction of their energy per unit time to the 2D modes. The spectrum that emerges depends on the anisotropy of the forcing function, the former solution prevailing for forcings in which more energy is injected into the 2D modes while the latter prevails for isotropic forcing. In the case of anisotropic forcing, whence the energy goes from the 2D to the 3D modes at low wave numbers, large-scale shear is created, resulting in a time scale τ sh, associated with shear, thereby producing a ∼k -1 spectrum for the total energy with the horizontal energy of the 2D modes still following a ∼k⊥-5/3 scaling. © 2012 American Physical Society.
publishDate 2012
dc.date.none.fl_str_mv 2012
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.12110/paper_15393755_v86_n3_p_Sen
url http://hdl.handle.net/20.500.12110/paper_15393755_v86_n3_p_Sen
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2012;86(3)
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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