A new Eulerian-Lagrangian length-scale in turbulent flows

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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4 pages, 3 figures, submitted to PRL

Scientific paper

We introduce a time-dependent Eulerian-Lagrangian length-scale and an inverse locality hypothesis which explain scalings of second order one-particle Lagrangian structure functions observed in Kinematic Simulations (KS) of homogeneous isotropic turbulence. Our KS results are consistent with the physical picture that particle trajectories are more/less autocorrelated if they are smoother/rougher as a result of encountering less/more straining stagnation points, thus leading to enhanced/reduced turbulent diffusion.

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