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 …

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 …

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 …

In flow visualization, vortex extraction is a long-standing and unsolved problem. For
decades, scientists developed numerous definitions that characterize vortex regions and …

Acceleration is a fundamental quantity of flow fields that captures Galilean invariant
properties of particle motion. Considering the magnitude of this field, minima represent …

Aviation data sets are increasingly high-dimensional and sparse. Consequently, the
underlying features and interactions are not easily uncovered by traditional data analysis …

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 …

We present a state‐of‐the‐art report on time‐dependent flow topology. We survey
representative papers in visualization and provide a taxonomy of existing approaches that …

Iso-surfaces or level-sets provide an effective and frequently used means for feature
visualization. However, they are restricted to simple features for uni-variate data. The …