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The State of the Art in Topology-based Visualization of Unsteady Flow

Pobitzer, Armin; Peikert, Ronald; Fuchs, Raphael; Schindler, Benjamin; Kuhn, Alexander; Theisel, Holger; Matković, Krešimir; Hauser, Helwig
Peer reviewed, Journal article
Accepted version
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The State of the Art in Topology.pdf (1.564Mb)
URI
https://hdl.handle.net/1956/5857
Date
2011
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  • Department of Informatics [748]
Original version
https://doi.org/10.1111/j.1467-8659.2011.01901.x
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 analyzing 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 topologybased 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 multi-field approaches. Furthermore, we illustrate our review with practical examples for the different approaches.
Publisher
Blackwell Publishing Ltd.
Copyright
Copyright 2011 The Authors. Computer Graphics Forum Copyright 2011 The Eurographics Association and Blackwell Publishing Ltd. All rights reserved.

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