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

Armin Pobitzer, Ronald Peikert, Raphael Fuchs, Benjamin Schindler, Alexander Kuhn, Holger Theisel, Kresimir Matkovic, Helwig Hauser

ARTICLE, Computer Graphics Forum, September, 2011

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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 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 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 multi-field approaches. Furthermore, we illustrate our review with practical examples for the different approaches.

Published

Computer Graphics Forum

• Volume: 30
• Number: 6
• Pages: 1789–1811
• Date: September 2011
• Project: SemSeg
• URL: http://dx.doi.org/10.1111/j.1467-8659.2011.01901.x

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BibTeX

@article{pobitzer11topology,
  title = {The State of the Art in Topology-based Visualization of Unsteady Flow},
  author = {Armin Pobitzer and Ronald Peikert and Raphael Fuchs and 
  Benjamin Schindler and Alexander Kuhn and Holger Theisel and 
  Kresimir Matkovic and Helwig Hauser},
  month = {September},
  year = {2011},
  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 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 multi-field approaches. Furthermore, we 
illustrate our review with practical examples for the different approaches.},
  journal = {Computer Graphics Forum},
  volume = {30},
  number = {6},
  pages = {1789--1811},

  URL = {http://dx.doi.org/10.1111/j.1467-8659.2011.01901.x}
}