Topology of Two-Dimensional Turbulence

Daniel, W. Brent; Rutgers, M. A.

doi:10.1103/physrevlett.89.134502

Cited by 13 publications

(18 citation statements)

References 24 publications

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“…We show how to extract the isotropic parts [9] of velocity and vorticity structure functions and then, by using the extended self-similarity (ESS) procedure [10], we obtain ratios of multiscaling exponents whence we conclude that velocity structure functions show simple scaling whereas their vorticity counterparts display multiscaling. Most important, our probability distribution function (PDF) of the Weiss parameter Λ [11] is in quantitative agreement with that found in experiments [6,7].…”

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confidence: 88%

Statistically steady turbulence in thin films: direct numerical simulations with Ekman friction

Perlekar

Pandit

2009

New J. Phys.

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We present a detailed direct numerical simulation (DNS) designed to investigate the combined effects of walls and Ekman friction on turbulence in forced soap films. We concentrate on the forward-cascade regime and show how to extract the isotropic parts of velocity and vorticity structure functions and thence the ratios of multiscaling exponents. We find that velocity structure functions display simple scaling whereas their vorticity counterparts show multiscaling; and the probability distribution function of the Weiss parameter Λ, which distinguishes between regions with centers and saddles, is in quantitative agreement with experiments.The pioneering work of Kraichnan [1] showed that fluid turbulence in two dimensions (2D) is qualitatively different from that in three dimensions (3D): in the former we have an infinity of extra conserved quantities, in the inviscid, unforced case; the first of these is the enstrophy. It turns out, therefore, that 2D turbulence displays an inverse cascade of energy, from the length scale at which the force acts to larger length scales, and a forward cascade of enstrophy, from the forcing length scale to smaller ones; by contrast, 3D turbulence is characterised by a forward cascade of energy [2]. Kraichnan's predictions were first confirmed in atmospheric experiments in quasi-twodimensional, stratified flows [3]; subsequent experiments have studied systems ranging from large-scale geophysical flows to soap films [3,4,5,6,7,8]. The latter have proved to be especially useful in characterizing 2D turbulence.

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confidence: 88%

Statistically steady turbulence in thin films: direct numerical simulations with Ekman friction

Perlekar

Pandit

2009

New J. Phys.

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“…[123]; such DNS studies have also investigated the scaling properties of structure functions and have provided some evidence for conformal invariance in the inverse cascade inertial range [124]. We end with an illustrative example of a recent DNS study [89] that sheds light on the effect of the Ekman friction on the statistics of the forward cascade in wall-bounded flows that are directly relevant to laboratory soap-film experiments [125][126][127][128]. The details of this DNS are given in Ref.…”

Section: D Navier-stokes Turbulencementioning

confidence: 99%

Statistical properties of turbulence: An overview

2009

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“…In present work cyclone identification algorithm is based on Ocubo-Weiss criterion (OWC). The criterion is often used for examining two-dimensional topology structure, in particular, for detection of coherent structures -axisymmetrical vortexes in the wind field [10].…”

Section: Methodsmentioning

confidence: 99%

Statistics of mesoscale cyclonic Eddies over the Black Sea

et al. 2009

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On the basis of the results obtained by using the PRECIS regional climate model with high space resolution (25 km), we study the mesoscale specific features of the atmospheric circulation in the Black-Sea region for a period of 30 yr. To separate and trace the subsynoptic eddies, we use a method based on the Okubo-Weiss criterion. Several types of cyclonic eddies are selected and described: winter Caucasian coastal eddies, summer Caucasian separated eddies, cyclonic eddies of the open sea, and seldom quasitropical cyclones. For various types of eddies, we present the statistics of their lifetime and intensity and the histograms of diurnal and seasonal cycles.

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Topology of Two-Dimensional Turbulence

Cited by 13 publications

References 24 publications

Statistically steady turbulence in thin films: direct numerical simulations with Ekman friction

Statistically steady turbulence in thin films: direct numerical simulations with Ekman friction

Statistical properties of turbulence: An overview

Statistics of mesoscale cyclonic Eddies over the Black Sea

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