Finite-time Partitions for Lagrangian Structure Identification in Gulf Stream Eddy Transport
Abstract
We develop a methodology to identify finite-time Lagrangian structures from data and models using an extension of the Koopman operator-theoretic methods developed for velocity fields with simple (periodic, quasi-periodic) time-dependence. To achieve this, the notion of the Finite Time Ergodic (FiTER) partition is developed and rigorously justified. In combination with a clustering-based approach, the methodology enables identification of the temporal evolution of Lagrangian structures in a classic, benchmark, oceanographic transport problem, namely the cross-stream flux induced by the interaction of a meso- scale Gulf Stream Ring eddy with the main jet. We focus on a single mixing event driven by the interaction between an energetic cold core ring (a cyclone), the strong jet, and a number of smaller scale cyclones and anticyclones. The new methodology enab les reconstruction of Lagrangian structures in three dimensions and analysis of their time-evolution.
Keywords
Cite
@article{arxiv.1606.07382,
title = {Finite-time Partitions for Lagrangian Structure Identification in Gulf Stream Eddy Transport},
author = {Alexandre Fabregat and Igor Mezic and Andrew C. Poje},
journal= {arXiv preprint arXiv:1606.07382},
year = {2016}
}