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Phys. Rev. Lett. 75, 2690–2693 (1995)

Viscous Effects on Inertial Range Scalings in a Dynamical Model of Turbulence

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Emmanuel Leveque and Zhen-Su She
Department of Mathematics, University of Arizona, Tucson, Arizona 85721

Received 16 November 1994; published in the issue dated 2 October 1995

A class of Gledzer-Ohkitani-Yamada shell models for fully developed turbulence is studied numerically in the presence of a hyperviscous damping νkn2+α. It is found that the inertial-range scalings ζp ( |un|pkn-ζp) are not universal, but depend on the hyperviscosity index α. A class of anomalous scalings are observed, and remarkably ζp/ζ3 are universal. A theoretical explanation is developed based on a recently proposed scaling model of turbulence [She and Leveque, Phys. Rev. Lett. 72, 336 (1994)].

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.75.2690
DOI:
10.1103/PhysRevLett.75.2690
PACS:
47.27.Jv, 05.45.+b