The State of the Art in Topology‐Based Visualization of Unsteady Flow |
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Authors: | Armin Pobitzer Ronald Peikert Raphael Fuchs Benjamin Schindler Alexander Kuhn Holger Theisel Krešimir Matković Helwig Hauser |
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Affiliation: | 1. University of Bergen, Norway http://www.ii.uib.no/vis;2. ETH Zurich, Switzerland http://graphics.ethz.ch;3. University of Magdeburg, Germany http://isgwww.cs.uni‐magdeburg.de/visual;4. VRVis Research Center in Vienna, Austria http://www.VRVis.at |
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Abstract: | 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 for their convenience for visualizing and analysing steady flows, but a counterpart for unsteady flows is still missing. However, a lot of good and relevant work aiming at such a solution is available. We give an overview of previous research leading towards topology‐based and topology‐inspired visualization of unsteady flow, pointing out the different approaches and methodologies involved as well as their relation to each other, taking classical (i.e. steady) vector field topology as our starting point. Particularly, we focus on Lagrangian methods, space–time domain approaches, local methods and stochastic and multifield approaches. Furthermore, we illustrate our review with practical examples for the different approaches. |
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Keywords: | flow visualization topology unsteady flow State of the art report I.3.6 [Computer Graphics]: Methodology and Techniques I.3.3 [Computer Graphics]: Picture/Image Generation |
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