Vorticity Statistics in the Two-Dimensional Enstrophy Cascade

Jérôme Paret, Marie-Caroline Jullien, and Patrick Tabeling
Phys. Rev. Lett. 83, 3418 – Published 25 October 1999
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Abstract

We report the first extensive experimental observation of the two-dimensional enstrophy cascade, along with the determination of the high order vorticity statistics. The energy spectra we obtain are remarkably close to the Kraichnan Batchelor expectation. The distributions of the vorticity increments, in the inertial range, deviate little from Gaussianity, and the corresponding structure function exponents are indistinguishable from zero. It is thus shown that there is no substantial small scale intermittency in the enstrophy cascade, in agreement with recent theoretical analyses.

  • Received 24 March 1999

DOI:https://doi.org/10.1103/PhysRevLett.83.3418

©1999 American Physical Society

Authors & Affiliations

Jérôme Paret, Marie-Caroline Jullien, and Patrick Tabeling

  • Laboratoire de Physique Statistique, Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris, France

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Issue

Vol. 83, Iss. 17 — 25 October 1999

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