Lagrangian statistics and coherent structures in two-dimensional turbulence

Details Lagrangian statistics and coherent structures in two-dimensional turbulence Lagrangian statistics and coherent structures in two-dimensional turbulence

2005-12-10

arxiv.org/abs/cond-mat/0512214v1

Physics

Condensed Matter

Soft Condensed Matter

10 pages, 13 figures

Scientific paper

Measurements of Lagrangian single-point and multiple-point statistics in a quasi-two-dimensional stratifed layer system are reported. The system consists of a layer of salt water over an immiscible layer of Fluorinert and is forced electromagnetically so that mean-squared vorticity is injected at a well-defined spatial scale. Simultaneous cascades develop in which enstrophy flows predominately to small scales whereas energy cascades, on average, to larger scales. Lagrangian velocity correlations and one- and two-point displacements are measured for random initial conditions and for initial positions within topological centers and saddles. The behavior of these quantities can be understood in terms of the trapping characteristics of long-lived centers, the slow motion near strong saddles, and the rapid fluctuations outside of either centers or saddles.

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