Eulerian Statistically Preserved Structures in Passive Scalar Advection
Chaotic Dynamics
2009-11-10 v1
Abstract
We analyze numerically the time-dependent linear operators that govern the dynamics of Eulerian correlation functions of a decaying passive scalar advected by a stationary, forced 2-dimensional Navier-Stokes turbulence. We show how to naturally discuss the dynamics in terms of effective compact operators that display Eulerian Statistically Preserved Structures which determine the anomalous scaling of the correlation functions. In passing we point out a bonus of the present approach, in providing analytic predictions for the time-dependent correlation functions in decaying turbulent transport.
Cite
@article{arxiv.nlin/0303006,
title = {Eulerian Statistically Preserved Structures in Passive Scalar Advection},
author = {Yoram Cohen and Anna Pomyalov and Itamar Procaccia},
journal= {arXiv preprint arXiv:nlin/0303006},
year = {2009}
}
Comments
10 pages, 10 figures. Submitted to Phys. Rev. E