On the Way Towards Topology-Based Visualization of Unsteady Flow - the State of the Art

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

INPROCEEDINGS, EuroGraphics 2010 State of the Art Reports (STARs), 2010

• presentation

Abstract

Vector fields are a common concept for the representation of many different kinds of flow phenomena in science and engineering. Topology-based methods have shown their convenience for visualizing and analyzing steady flow but a counterpart for unsteady flow is still missing. However, a lot of good and relevant work has been done aiming at such a solution. We give an overview of the research done on the way towards topology-based 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 illustrated our review with practical examples for the different approaches.

Published

EuroGraphics 2010 State of the Art Reports (STARs)

• Pages: 137–154
• Event: EuroGraphics 2010
• Location: Norrköping, Sweden
• Project: SemSeg

Media

BibTeX

@inproceedings{pobitzer10topology,
  title = "On the Way Towards Topology-Based Visualization of Unsteady Flow - 
  the State of the Art",
  author = "Armin Pobitzer and Ronald Peikert and Raphael Fuchs and 
  Benjamin Schindler and Alexander Kuhn and Holger Theisel and 
  Kresimir Matkovic and Helwig Hauser",
  year = "2010",
  booktitle = {EuroGraphics 2010 State of the Art Reports (STARs)},
  abstract = "Vector fields are a common concept for the representation of 
many different kinds of flow phenomena in science and engineering. 
Topology-based methods have shown their convenience for visualizing and 
analyzing steady flow but a counterpart for unsteady flow is still missing. 
However, a lot of good and relevant work has been done aiming at such a 
solution.

We give an overview of the research done on the way towards topology-based 
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
illustrated our review with practical examples for the different approaches.",
  pages = {137--154},
  event = "EuroGraphics 2010",  
  location = {Norrk{\"o}ping, Sweden},

}