## Abstract

Visualization has developed a tendency to use mathematical analysis to obtain and present important data properties. In three-dimensional fluid flows, engineers are interested in several important features. One type are recirculation zones where the fluid stays for a long time. This plays a key role in combustion problems since recirculation allows a completion of chemical reactions which usually have a smaller time scale than fluid dynamics. Strong indicators for such recirculation zones are looping streamlines in a steady vector field or in the time steps of unsteady data. The article presents a method for the detection of such loops by analyzing streamlines approaching them.

Original language | American English |
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Title of host publication | Visualization and Mathematics III |

DOIs | |

State | Published - Jan 1 2003 |

## Keywords

- Differential Geometry
- Numerical Analysis
- Programming Techniques
- Topology
- Visualization

## Disciplines

- Computer Sciences
- Engineering