Thorough Insights by Enhanced Visualization of Flow Topology

Helwig Hauser, Meister Eduard Gröller
Thorough Insights by Enhanced Visualization of Flow Topology
TR-186-2-00-17, August 2000 [paper]

Information

Abstract

The investigation of flow data can be eased by the visualization of topological information about the flow. Especially, when empirical models or numerical results from flow simulation are investigated, often the first step of analysis is to search structural elements, like fixed points, separatrices, etc. The work presented in this paper focuses on the visualization of 3D dynamical systems (comparable to flow data) on the basis of results which are obtained by automatic analysis of the flow topology. Fixed points are determined and the Jacobian matrix of the flow is investigated at these points of phase space to obtain the associated stable and/or unstable invariant sets. Furthermore, this paper presents how Poincare maps are used to visualize structural information about cyclic flow data together with direct visualization cues like stream lines or stream surfaces.

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BibTeX

@techreport{Hauser-2000-Tho,
  title =      "Thorough Insights by Enhanced Visualization of Flow Topology",
  author =     "Helwig Hauser and Meister Eduard Gr\"{o}ller",
  year =       "2000",
  abstract =   "The investigation of flow data can be eased by the
               visualization of topological information about the flow. 
               Especially, when empirical models or numerical results from
               flow simulation are investigated, often the first step of
               analysis is to search structural elements, like fixed
               points, separatrices, etc. The work presented in this paper
               focuses on the visualization of 3D dynamical systems
               (comparable to flow data) on the basis of results which are
               obtained by automatic analysis of the flow topology. Fixed
               points are determined and the Jacobian matrix of the flow is
               investigated at these points of phase space to obtain the
               associated stable and/or unstable invariant sets. 
               Furthermore, this paper presents how Poincare maps are used
               to visualize structural information about cyclic flow data
               together with direct visualization cues like stream lines  
               or stream surfaces.",
  month =      aug,
  number =     "TR-186-2-00-17",
  address =    "Favoritenstrasse 9-11/E193-02, A-1040 Vienna, Austria",
  institution = "Institute of Computer Graphics and Algorithms, Vienna
               University of Technology ",
  note =       "human contact: technical-report@cg.tuwien.ac.at",
  URL =        "https://www.cg.tuwien.ac.at/research/publications/2000/Hauser-2000-Tho/",
}