Tracking of Vector Field Singularities in Unstructured 3D Time-Dependent Datasets

In this paper, we present an approach for monitoring the positions of vector field singularities in time-dependent datasets. The concept of singularity index is discussed and extended from the well-understood planar case to the more intricate three-dimensional setting. Assuming a tetrahedral grid with linear interpolation in space and time, vector field singularities obey rules imposed by fundamental invariants (Poincar?e index), which we use as a basis for an efficient tracking algorithm. We apply the presented algorithm to CFD datasets to illustrate its purpose in the examination of structures that exhibit topological variations with time and describe some of the insight gained with this method. We give examples that show a correlation in the evolution of physical quantities that constitute to vortex breakdown. CR Categories: I.4.7 [Image Processing and Computer Vision]: Feature Measurement-- [I.6.6]: Simulation And Modeling-Simulation Output Analysis J.2 [Physical Sciences and Engi...

• Type: Conference
• Year: 2004
• Where: VIS
• Authors: Christoph Garth, Xavier Tricoche, Gerik Scheuermann
• Keywords: Efficient Tracking Algorithm, Singularities Obey Rules, Vector Field Singularities, VIS 2004, Visualization