Typical fluid particle trajectories are sensitive to changes in their initial conditions. This
makes the assessment of flow models and observations from individual tracer samples …

Vector fields are a common concept for the representation of many different kinds of flow
phenomena in science and engineering. Methods based on vector field topology are known …

Dynamic stall on a helicopter rotor blade comprises a series of complex aerodynamic
phenomena in response to the unsteady change of the blade's angle of attack. It is …

We introduce a new approach to locating key material transport barriers in two-dimensional,
non-autonomous dynamical systems, such as unsteady planar fluid flows. Seeking transport …

This paper presents the state of the art in the area of topology‐based visualization. It
describes the process and results of an extensive annotation for generating a definition and …

Objective Detection of Oceanic Eddies and the Agulhas Leakage in: Journal of Physical
Oceanography Volume 43 Issue 7 (2013) Jump to Content Jump to Main Navigation Logo Logo …

The topic of Lagrangian coherent structures (LCS) has been a rapidly growing area of
research in nonlinear dynamics for almost a decade. It provides a means to rigorously define …

This paper presents new efficient methods for computing finite-time Lyapunov exponent
(FTLE) fields in unsteady flows. The methods approximate the particle flow map, eliminating …

We generalize the concepts of finite-time Lyapunov exponent (FTLE) and Lagrangian
coherent structures to arbitrary Riemannian manifolds. The methods are illustrated for …

In recent years, deep learning has opened countless research opportunities across many
different disciplines. At present, visualization is mainly applied to explore and explain neural …