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
- 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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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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1844618734044446720 |
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13.070432 |