Intermittency in the Joint Cascade of Energy and Helicity

Qiaoning Chen, Shiyi Chen, Gregory L. Eyink, and Darryl D. Holm

Phys. Rev. Lett. 90, 214503 – Published 30 May 2003

Abstract

The statistics of the energy and helicity fluxes in isotropic turbulence are studied using high resolution direct numerical simulation. The scaling exponents of the energy flux agree with those of the transverse velocity structure functions through refined similarity hypothesis, consistent with Kraichnan’s prediction. The helicity flux is even more intermittent than the energy flux. Consistent with this observation, the spatial helicity-flux structures are finer than those of energy flux and more tubelike in geometry.

Received 31 January 2002

DOI:https://doi.org/10.1103/PhysRevLett.90.214503

Authors & Affiliations

Qiaoning Chen¹, Shiyi Chen^1,2,3, Gregory L. Eyink⁴, and Darryl D. Holm^2,5

¹Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, Maryland 21218, USA
²Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
³CCSE and LTCS, Peking University, China
⁴Department of Mathematical Sciences, The Johns Hopkins University, Baltimore, Maryland 21218 USA
⁵Mathematics Department, Imperial College of Science, Technology and Medicine, London SW7 2AZ, United Kingdom

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Issue

Vol. 90, Iss. 21 — 30 May 2003

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