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dc.contributor.author
Sen, Amrik
dc.contributor.author
Mininni, Pablo Daniel
dc.contributor.author
Rosenberg, Duane
dc.contributor.author
Pouquet, Annick
dc.date.available
2019-06-13T16:27:37Z
dc.date.issued
2012-09
dc.identifier.citation
Sen, Amrik; Mininni, Pablo Daniel; Rosenberg, Duane; Pouquet, Annick; Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 86; 3; 9-2012; 3631901-3631915
dc.identifier.issn
1539-3755
dc.identifier.uri
http://hdl.handle.net/11336/78218
dc.description.abstract
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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Rotating Flows
dc.subject
Turbulence
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Anisotropic Flows
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Inverse Cascades
dc.subject.classification
Astronomía
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-06-04T20:17:12Z
dc.journal.volume
86
dc.journal.number
3
dc.journal.pagination
3631901-3631915
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Nueva York
dc.description.fil
Fil: Sen, Amrik. State University of Colorado at Boulder; Estados Unidos. National Center for Atmospheric Research; Estados Unidos
dc.description.fil
Fil: Mininni, Pablo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
dc.description.fil
Fil: Rosenberg, Duane. National Center for Atmospheric Research; Estados Unidos
dc.description.fil
Fil: Pouquet, Annick. National Center for Atmospheric Research; Estados Unidos
dc.journal.title
Physical Review E: Statistical, Nonlinear and Soft Matter Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://pre.aps.org/abstract/PRE/v86/i3/e036319
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevE.86.036319
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