Statistics of a Passive Scalar in a 2D Shear Flow with Fluctuations

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Abstract

We study statistical properties of the passive scalar advection in a 2D flow that consist of a steady-state shear flow and a relatively weak smooth random component taking into account the effects of finite weak diffusion. The model is closely related to the dynamics of passive scalar transfer inside coherent vortices emerging as a result of an inverse cascade in 2D turbulence. We analyze both the decay of the passive scalar and the problem with continuous supply of the scalar to the system. In both cases, the passive scalar distribution exhibits strong intermittence, which can be indicated with single-point moments calculated in this study.

About the authors

N. A Ivchenko

Landau Institute for Theoretical Physics, Russian Academy of Sciences; National Research Center “Higher School of Economics”

Email: ssver@itp.ac.ru
142432, Chernogolovka, Moscow oblast, Russia; 111250, Moscow, Russia

S. S Vergeles

Landau Institute for Theoretical Physics, Russian Academy of Sciences; National Research Center “Higher School of Economics”

Author for correspondence.
Email: ssver@itp.ac.ru
142432, Chernogolovka, Moscow oblast, Russia; 111250, Moscow, Russia

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