Title

Intermittency in the enstrophy cascade of two-dimensional fully developed turbulence: Universal features

Authors

Authors

B. K. Shivamoggi

Comments

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Abbreviated Journal Title

Ann. Phys.

Keywords

turbulence; TWO-DIMENSIONAL TURBULENCE; HIGH-REYNOLDS-NUMBER; INERTIAL-RANGE; SOAP; FILMS; NUMERICAL-SIMULATION; DECAYING TURBULENCE; COHERENT STRUCTURES; VELOCITY-GRADIENTS; ENERGY-SPECTRUM; 2D TURBULENCE; Physics, Multidisciplinary

Abstract

Intermittency (externally induced) in the two-dimensional (2D) enstrophy cascade is shown to be able to maintain a finite enstrophy along with a vorticity conservation anomaly. Intermittency mechanisms of three-dimensional (3D) energy cascade and 2D enstrophy cascade in fully developed turbulence (FDT) seem to have some universal features. The parabolic-profile approximation (PPA) for the singularity spectrum f(alpha) in multi-fractal model is used and extended to the appropriate micro-scale regimes to exhibit these features. The PPA is also shown to afford, unlike the generic multi-fractal model, an analytical calculation of probability distribution functions (PDF) of flow-variable gradients in these FDT cases and to describe intermittency corrections that complement those provided by the homogeneous-fractal model. (C) 2007 Elsevier Inc. All rights reserved.

Journal Title

Annals of Physics

Volume

323

Issue/Number

2

Publication Date

1-1-2008

Document Type

Article

Language

English

First Page

444

Last Page

460

WOS Identifier

WOS:000253342100010

ISSN

0003-4916

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