Vortices are commonly understood as rotating motions in fluid flows. The analysis of vortices
plays an important role in numerous scientific applications, such as in engineering …

The Helmholtz-Hodge Decomposition (HHD) describes the decomposition of a flow field into
its divergence-free and curl-free components. Many researchers in various communities like …

The topological analysis of unsteady vector fields remains to this day one of the largest
challenges in flow visualization. We build up on recent work on vortex extraction to define a …

Robust feature extraction is an integral part of scientific visualization. In unsteady vector field
analysis, researchers recently directed their attention towards the computation of near …

The Helmholtz-Hodge decomposition (HHD), which describes a flow as the sum of an
incompressible, an irrotational, and a harmonic flow, is a fundamental tool for simulation and …

The spatio-temporal variability of submesoscale eddies off southern San Diego is
investigated with two-year observations of subinertial surface currents [O (1) m depth] …

We propose a new class of vortex definitions for flows that are induced by rotating
mechanical parts, such as stirring devices, helicopters, hydrocyclones, centrifugal pumps, or …

Almost all properties of vector fields, including magnitude, direction, λ 2 and vorticity change
under arbitrary movements of the observer. This is undesirable since measurements of …

In recent years, research activities in the field of Satellite Navigation have boosted
worldwide. At the same time, it has become evident that few educational opportunities in the …

Topological methods are important tools for data analysis, and recently receiving more and
more attention in vector field visualization. In this paper, we give an introductory description …