Universality and saturation of intermittency in passive scalar turbulence

Details Universality and saturation of intermittency in passive scalar turbulence Universality and saturation of intermittency in passive scalar turbulence

1999-09-29

arxiv.org/abs/chao-dyn/9909038v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 8 figures

Scientific paper

10.1103/PhysRevLett.84.2385

The statistical properties of a scalar field advected by the non-intermittent Navier-Stokes flow arising from a two-dimensional inverse energy cascade are investigated. The universality properties of the scalar field are directly probed by comparing the results obtained with two different 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. The persistence of anisotropies and the saturation are both statistical signatures of the ramp-and-cliff structures observed in the scalar field.

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