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

    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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