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Updated: Jul 11, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Universality and saturation of intermittency in passive scalar turbulence
1CNRS, Observatoire de la Cote d'Azur, B.P. 4229, 06304 Nice Cedex 4, France and Dipartimento di Fisica Generale, Universita di Torino, and INFM Unita di Torino Universita, I-10126 Torino, Italy.
Abstract:
The statistical properties of a scalar field advected by the nonintermittent Navier-Stokes flow arising from a two-dimensional inverse energy cascade are investigated. The universality properties of the scalar field are probed by comparing the results obtained with two types of injection mechanisms. Scaling properties are shown to be universal, even though anisotropies injected at large scales persist down to the smallest scales and local isotropy is not fully restored. Scalar statistics is strongly intermittent and scaling exponents saturate to a constant for sufficiently high orders. This is observed also for the advection by a velocity field rapidly changing in time, pointing to the genericity of the phenomenon.
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