Detecting and tracking eddies in oceanic flow fields: A vorticity based Euler-Lagrangian method
Abstract. Since eddies play a major role in the dynamics of oceanic flows, it is of great interest to detect them and gain information about their tracks, their lifetimes and their shapes. We develop a vorticity based heuristic Euler-Lagrangian descriptor utilizing the idea of Lagrangian coherent structures. In our approach we define an eddy as a region around an elliptic fixed point (eddy core) surrounded by manifolds (eddy boundaries). We test the performance of an eddy tracking tool based on this Euler-Lagrangian descriptor using an convection flow of four eddies, a synthetic vortex street and an eddy seeded model. The results for eddy lifetime and eddy shape are compared to the results obtained with the Okubo-Weiss parameter, the modulus of vorticity and an eddy tracking tool used in oceanography. We show that the Euler-Lagrangian descriptor estimates lifetimes closer to the analytical results than any other method. Furthermore we demonstrate that eddy tracking based on this descriptor is robust with respect to certain types of noise which makes it a suitable tool for eddy detection in velocity fields obtained from observation.