On how a joint interaction of two innocent partners (smooth advection & linear damping) produces a strong intermittency

Abstract

Forced advection of passive scalar by a smooth $d$-dimensional incompressible velocity in the presence of a linear damping is studied. Acting separately advection and dumping do not lead to an essential intermittency of the steady scalar statistics, while being mixed together produce a very strong non-Gaussianity in the convective range: $q$-th (positive) moment of the absolute value of scalar difference, $<|\theta (t;\mathbf{r})-\theta (t;0){|}^q>$ is proportional to $r^{{\xi }_q}$, ${\xi }_q=\sqrt{d^2/4+\alpha dq/[(d-1)D]}-d/2$, where $\alpha /D$ measures the rate of the damping in the units of the stretching rate. Probability density function (PDF) of the scalar difference is also found.

4 pages, RevTex, Submitted to Phys. Fluids

References in corpus (1)

• Intermittency in passive scalar advection

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