Extraction of Separation Manifolds using Topological Structures in Flow Cross Sections

  • Alexander Wiebel
  • Xavier Tricoche
  • Gerik Scheuermann
Part of the Mathematics and Visualization book series (MATHVISUAL)


The study of flow separation from walls or solid objects is still an active research area in the fluid dynamics and flow visualization communities and many open questions remain. This paper aims at introducing a new method for the extraction of separation manifolds originating from separation lines. We address the problem from the flow visualization side by investigating features in flow cross sections around separation lines. We use the topological signature of the separation in these sections, in particular the presence of saddle points and their separatrices, as a guide to initiate the construction of the separation manifolds. Having this first part we use well known stream surface construction methods to propagate the surface further into the flow. Additionally, we discuss some lessons learned in the course of our experimentation with well known and new ideas for the extraction of separation lines.


Saddle Point Topological Structure Cutting Plane Separation Line Delta Wing 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Alexander Wiebel
    • 1
  • Xavier Tricoche
    • 2
  • Gerik Scheuermann
    • 1
  1. 1.Institut für InformatikUniversität LeipzigLeipzigGermany
  2. 2.Scientific Computing and Imaging InstituteUniversity of UtahUSA

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