Lagrangian data assimilation is a complex problem in oceanic and atmospheric modelling.
Tracking drifters in large-scale geophysical flows can involve uncertainty in drifter location …

Turbulent and other nonlinear flows are highly complex and time dependent, but are not fully
random. To capture this spatiotemporal coherence, we introduce the idea of a linear …

We demonstrate the effective use of randomized methods for linear algebra to perform
network-based analysis of complex vortical flows. Network theoretic approaches can reveal …

The growth rate of material interfaces is an important proxy for mixing and reaction rates in
fluid dynamics and can also be used to identify regions of coherence. Estimating such …

The identification and visualization of Lagrangian structures in flows plays a crucial role in
the study of dynamic systems and fluid dynamics. The Finite Time Lyapunov Exponent …

This study examines the interplay between acoustic pressure oscillations and interactions
between regions of intense vorticity in the reactive field of a turbulent combustor. These …

Coherent circulation rolls and their relevance for the turbulent heat transfer in a two-
dimensional Rayleigh-Bénard convection model are analyzed. The flow is in a closed cell of …

Recently, advances in techniques for the detection of Lagrangian coherent structures (LCSs)
have driven forward understanding of kinematics and particle transport in a variety of flows …

We propose a simple numerical algorithm to estimate the finite time Lyapunov exponent
(FTLE) in dynamical systems from only a sparse number of Lagrangian particle trajectories …

We propose an efficient approach to estimate the finite-time Lyapunov exponent (FTLE).
Instead of incorporating all available velocity measurements, we develop a sparse …