## Abstract

Why does material tend to congregate in long coherent clusters at the surface of the ocean when it is well known that the ocean is dispersive? Here we review some recent research that addresses this question. A standard diagnostic for discerning transport pathways in incompressible 2D flows is the finite time Lyapunov exponent (FTLE). The FTLE can be expressed as the average of two rarely evaluated Lagrangian objects: the dilation and stretch rates. The stretch rate accounts for the ability of fluid shear to change the shape of fluid blobs, and for incompressible fluids it is the FTLE. However, in the real ocean and especially at submesoscales, the horizontal divergence is not negligible. This is quantified by the dilation rate, which is identically zero in 2D incompressible flow. Our analysis demonstrates that the combination of fluid dilation and stretch enhances accumulation of buoyant material along thin clusters in an otherwise dispersing ocean.

Original language | English (US) |
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Title of host publication | Advances in Nonlinear Geosciences |

Publisher | Springer International Publishing |

Pages | 213-224 |

Number of pages | 12 |

ISBN (Electronic) | 9783319588957 |

ISBN (Print) | 9783319588940 |

DOIs | |

State | Published - Jan 1 2017 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- General Earth and Planetary Sciences
- General Engineering
- General Mathematics
- General Environmental Science
- General Physics and Astronomy