The hidden geometry of ocean flows

TL;DR

This paper presents a novel global Lagrangian descriptor for analyzing ocean flows, effectively identifying invariant manifolds and flow regions in complex, time-dependent datasets.

Contribution

Introduces a new Lagrangian descriptor capable of accurately detecting flow structures in general time-dependent ocean datasets.

Findings

Successfully detects invariant manifolds and flow regions

Works with general time-dependent datasets

Achieves high accuracy in flow structure identification

Abstract

We introduce a new global Lagrangian descriptor that is applied to flows with general time dependence (altimetric datasets). It succeeds in detecting simultaneously, with great accuracy, invariant manifolds, hyperbolic and non-hyperbolic flow regions.