A Corrsin type approximation for Lagrangian fluid Turbulence

Details A Corrsin type approximation for Lagrangian fluid Turbulence A Corrsin type approximation for Lagrangian fluid Turbulence

2007-05-22

arxiv.org/abs/0705.3132v1

Physics

Fluid Dynamics

7 figures, 2 tables

Scientific paper

In Lagrangian turbulence one is faced with the puzzle that 2D Navier-Stokes flows are nearly as intermittent as in three dimensions although no intermittency is present in the inverse cascade in 2D Eulerian turbulence. In addition, an inertial range is very difficult to detect and it is questionable whether it exists at all. Here, we investigate the transition of Eulerian to Lagrangian probability density functions (PDFs) which leads to a new type of Lagrangian structure function. This possesses an extended inertial range similar to the case of tracer particles in a frozen turbulent velocity field. This allows a connection to the scaling of Eulerian transversal structure functions.

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