Topological classification of Lagrangian geographies

GISELA CHARÓ; GUILLERMO ARTANA; DENISSE SCIAMARELLA

Les Houches

Conferencia; Enviromental fluid dynamics: Confronting Grand challenges, École de physique de Les Houches.; 2019

ENS

Lagrangian geographies define regions in which fluid particles remain relatively isolated from the surrounding fluid. In this work, we shall consider whether particles within a relatively isolated region share the same type of dynamical behavior. In order to classify dynamical behaviors, we resort to concepts of algebraic topology, used to unveil and characterize the structure of chaotic flows from data. Understanding the relationship between the qualitative behavior of single fluid particles with the global organization of the fluid flow in terms of mixing, is an interesting issue that can be addressed from the perspective offered by Topology of Chaos.