Eulerian Statistically Preserved Structures in Passive Scalar Advection

Details Eulerian Statistically Preserved Structures in Passive Scalar Advection Eulerian Statistically Preserved Structures in Passive Scalar Advection

2003-03-05

arxiv.org/abs/nlin/0303006v1

Nonlinear Sciences

Chaotic Dynamics

10 pages, 10 figures. Submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.68.036303

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.

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