Applying dynamical systems techniques to real ocean drifters

Abstract

Abstract. This paper presents the first comprehensive comparison of several different dynamical-systems-based measures of stirring and Lagrangian coherence, computed from real ocean drifters. Seven commonly used methods (finite-time Lyapunov exponent (FTLE), trajectory path length, trajectory correlation dimension, trajectory encounter volume, Lagrangian-averaged vorticity deviation, dilation, and spectral clustering) were applied to 144 surface drifters in the Gulf of Mexico in order to map out the dominant Lagrangian coherent structures. Among the detected structures were regions of hyperbolic nature resembling stable manifolds from classical examples, divergent and convergent zones, and groups of drifters that moved more coherently and stayed closer together than the rest of the drifters. Many methods highlighted the same structures, but there were differences too. Overall, five out of seven methods provided useful information about the geometry of transport within the domain spanned by the drifters, whereas the path length and correlation dimension methods were less useful than others.

Document Details

Document Type
Pub Defense Publication
Publication Date
Oct 07, 2022
Source ID
10.5194/npg-29-345-2022

Entities

People

  • Irina I. Rypina
  • Lawrence J. Pratt
  • Tamay M. Özgökmen
  • Timothy Getscher

Organizations

  • Office of Naval Research

Tags

Readers

  • Approximation Theory.
  • Control Systems Engineering.
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers