A number of two-dimensional time-periodic flows, for example the Kármán street wake of a
symmetrical bluff body such as a circular cylinder, possess a spatio-temporal symmetry: a …

The Lagrangian equations of motion of passive tracers advected by two-dimensional (2D)
unsteady flows define a Hamiltonian system. This Hamiltonian structure has fundamental …

We give an algorithmic introduction to Lagrangian coherent structures (LCSs) using a newly
developed computational engine, LCS Tool. LCSs are most repelling, attracting and …

The work presented in this thesis encompasses numerical and experimental investigations
on three-dimensional (3 D) chaotic advection in a cylindrical domain under laminar flow …

We study the transport properties of mesoscale eddies (ie, vortices of 100–200 km in
diameter) over a finite time duration. While these oceanic structures are well-known to stir …

It is a commonly observed phenomenon that spherical particles with inertia in an
incompressible fluid do not behave as ideal tracers. Due to the inertia of the particle, the …

We extract Lagrangian features of the two-dimensional von Kármán vortex street behind a
circular cylinder. The temporal convergence and separation of particles is monitored over …

Topological techniques are powerful tools for characterizing the complexity of many
dynamical systems, including the commonly studied area-preserving maps of the plane …

Methods coming from the theory of chaotic scattering are applied to the advection of passive
particles in an open hydrodynamical flow. In a region of parameters where a von Kármán …

Stirring a two-dimensional viscous fluid with rods is often an effective way to mix. The
topological features of periodic rod motions give a lower bound on the topological entropy of …