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

We assess the impact of lateral coastline-like boundaries on mixing and transport in a
laboratory quasi-two-dimensional turbulent flow using a transfer-operator approach. We …

Scale decomposition is ubiquitous in the analysis of complex fluid flows. Often with an eye
towards reduced order modeling, considerable effort has been invested in the development …

Air pollution in urban areas is a major concern for the health and safety of citizens. Hubs of
economic, political and social activities, cities are densely populated and are exposed to a …

Given a sequence of empirical distribution data (eg a movie of a spatiotemporal process
such as a fluid flow), this work develops an ensemble data assimilation method to estimate …

Performing exploratory analysis and visualization of large-scale time-varying computational
science applications is challenging due to inaccuracies that arise from under-resolved data …

The problems of (i) maximizing or minimizing Lagrangian mixing in fluids via the introduction
of a spatiotemporally varying control velocity and (ii) globally controlling the finite-time …

The topological features of recurrent phase trajectories of a turbulent wake are studied using
a modified persistent homology method. In the general persistent homology computation …

This thesis investigates links between the eigenvalues and eigenfunctions of the Laplace–
Beltrami operator, and the higher Cheeger constants of smooth Riemannian manifolds …

Lagrangian representations of flow fields have gained prominence for enabling fast,
accurate analysis and exploration of time-varying flow behaviors. In this paper, we present a …