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Open Access Publications from the University of California

Localizing Vector Field Topology

  • Author(s): Scheuermann, Gerik
  • Hamann, Bernd
  • Joy, Ken
  • Kollmann, Wolfgang
  • Editor(s): Post, F.
  • Nielson, G. M.
  • Bonneau, Georges-Pierre
  • et al.

The topology of vector fields offers a well known way to show a ''condensed'' view of the stream line behavior or a vector field. The global structure of a field can be shown without time-consuming user interaction. With regard to large data visualization, one encounters a major drawback: the necessity to analyze a whole data set, even when interested in only a small region. We show that one can localize the topology concept by including the boundary in the topology analysis. The idea is demonstrated for a turbulent swirling jet simulation example. Our concept works for all planar, piecewise analytic vector fields on bounded domains.

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