Vortex is one of typical structures of the unsteady flow inside the hydroturbines, leading to
significant pressure fluctuation, prominent vibration of the units, and fatigue of turbine …

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 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 …

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 …

Characteristic curves of vector fields include stream, path, and streak lines. Stream and path
lines can be obtained by a simple vector field integration of an autonomous ODE system, ie …

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 …

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 …

The popularity of vector field topology in the visualization community is due mainly to the
topological skeleton which captures the essential information on a vector field in a set of …

Hairpin vortices are one of the most important vortical structures in turbulent flows. Extracting
and characterizing hairpin vortices provides useful insight into many behaviors in turbulent …

Vortex detection plays a fundamental role in turbulence research and engineering problems.
However, due to the lack of a mathematically rigorous vortex definition, as well as the …