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 …

There is growing evidence that population-level brain activity is often organized into
propagating waves that are structured in both space and time. Such spatiotemporal patterns …

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 …

Flat bands of zero-energy states at the edges of quantum materials have a topological
origin. However, their presence is energetically unfavorable. If there is a mechanism to shift …

An emerging long obstacle placed in a boundary layer develo** under a free surface
generates a complex horseshoe vortex (HSV) system, which is composed of a set of vortices …

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 …

We introduce an algorithm for construction of the Morse hierarchy, ie, a hierarchy of Morse
decompositions of a piecewise constant vector field on a surface driven by stability of the …

We extend the definition of the classic instantaneous vector field saddles, sinks, and sources
to the finite-time setting by categorizing the domain based on the behavior of the flow map …

Abstract Analysis and visualization of complex vector fields remain major challenges when
studying large scale simulation of physical phenomena. The primary reason is the gap …

La rencontre entre un écoulement à surface libre et un obstacle émergent est à l'origine
d'une recirculation tri-dimensionnelle complexe appelée tourbillon en fer à cheval (TFC). Le …