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Lagrangian tracers on a surface flow: the role of time correlations

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arxiv nlin/0408031 v1 pith:CNVGD3VP submitted 2004-08-18 nlin.CD physics.flu-dyn

Lagrangian tracers on a surface flow: the role of time correlations

classification nlin.CD physics.flu-dyn
keywords flowcorrelationstimeclusteringlagrangiansurfacetracersagreement
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Finite time correlations of the velocity in a surface flow are found to be important for the formation of clusters of Lagrangian tracers. The degree of clustering characterized by the Lyapunov spectrum of the flow is numerically shown to be in qualitative agreement with the predictions for the white-in-time compressible Kraichnan flow, but to deviate quantitatively. For intermediate values of compressibility the clustering is surprisingly weakened by time correlations.

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