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Artículo

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

Sen, Amrik; Mininni, Pablo DanielIcon ; Rosenberg, Duane; Pouquet, Annick
Fecha de publicación: 09/2012
Editorial: American Physical Society
Revista: Physical Review E: Statistical, Nonlinear and Soft Matter Physics
ISSN: 1539-3755
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:
Astronomía

Resumen

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.
Palabras clave: Rotating Flows , Turbulence , Anisotropic Flows , Inverse Cascades
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/78218
URL: http://pre.aps.org/abstract/PRE/v86/i3/e036319
DOI: http://dx.doi.org/10.1103/PhysRevE.86.036319
Colecciones
Articulos(IFIBA)
Articulos de INST.DE FISICA DE BUENOS AIRES
Citación
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
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