Large-scale properties of passive scalar advection

Details Large-scale properties of passive scalar advection Large-scale properties of passive scalar advection

1999-01-23

arxiv.org/abs/chao-dyn/9901027v1

Phys. of Fluids, 11, 2269 (1999).

Nonlinear Sciences

Chaotic Dynamics

39 pages, to be published in Phys. of Fluids

Scientific paper

10.1063/1.870089

We consider statistics of the passive scalar on distances much larger than
the pumping scale. Such statistics is determined by statistics of Lagrangian
contraction that is by probabilities of initially distant fluid particles to
come close. At the Batchelor limit of spatially smooth velocity, the breakdown
of scale invariance is established for scalar statistics.

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