Abstract
The effect of anisotropy on the statistics of a passive tracer transported
by a turbulent flow is investigated. We show that under broad conditions an
arbitrarily small amount of anisotropy propagates to the large scales
where it eventually dominates the structure of the concentration field.
This result is obtained analytically in the framework of an exactly solvable
model and confirmed by numerical simulations of a passive scalar transported 1) by a Kraichnan flow and 2) by real two-dimensional turbulence. In Figure 1 the general anisotropic appearance of a scalar snapshot is shown.
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