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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.

Registro:

Documento: Artículo
Título:Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence
Autor:Sen, A.; Mininni, P.D.; Rosenberg, D.; Pouquet, A.
Filiación:Institute for Mathematics Applied to Geosciences (IMAGe), CISL, NCAR, P.O. Box 3000, Boulder, CO 80307-3000, United States
Department of Applied Mathematics, 526 UCB, University of Colorado, Boulder, CO 80309-0526, United States
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave: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
Año:2012
Volumen:86
Número:3
DOI: http://dx.doi.org/10.1103/PhysRevE.86.036319
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_15393755_v86_n3_p_Sen.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v86_n3_p_Sen

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Citas:

---------- APA ----------
Sen, A., Mininni, P.D., Rosenberg, D. & Pouquet, A. (2012) . Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 86(3).
http://dx.doi.org/10.1103/PhysRevE.86.036319
---------- CHICAGO ----------
Sen, A., Mininni, P.D., Rosenberg, D., Pouquet, A. "Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 86, no. 3 (2012).
http://dx.doi.org/10.1103/PhysRevE.86.036319
---------- MLA ----------
Sen, A., Mininni, P.D., Rosenberg, D., Pouquet, A. "Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 86, no. 3, 2012.
http://dx.doi.org/10.1103/PhysRevE.86.036319
---------- VANCOUVER ----------
Sen, A., Mininni, P.D., Rosenberg, D., Pouquet, A. Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2012;86(3).
http://dx.doi.org/10.1103/PhysRevE.86.036319