Aspects on Data Analysis and Visualization for Complicated Dynamical Systems

J. Becker, D. Bürkle, R.-T. Happe, T. Preußer, M. Rumpf, M. Spielberg and R. Strzodka
Additional contact information
J. Becker: Universität Freiburg, Mathematische Fakultät
D. Bürkle: Universität Freiburg, Institut für Angewandte Mathematik
R.-T. Happe: Universität Freiburg, Mathematische Fakultät
T. Preußer: Universität Bonn, Institut für Angewandte Mathematik
M. Rumpf: Universität Bonn, Institut für Angewandte Mathematik
M. Spielberg: Universität Bonn, Institut für Angewandte Mathematik
R. Strzodka: Universität Bonn, Institut für Angewandte Mathematik

A chapter in Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, 2001, pp 417-430 from Springer

Abstract: Abstract Flow visualization is an indispensible tool for the understandig of complex flow phenomena in computational fluid dynamics and the analysis of dynamical systems. In this note we will present several ways for an effective post processing of fluid flows and flows on invariant manifolds of dynamical systems. Feature extraction techniques will be present which reduce the informational content of large timedependent data sets to its mainly intersesting essence. Futhermore, we present visualization approaches which are based on partial differential equations. Similar to the modelling of physical phenomena by partial differential equations, in the postprocessing of data such equations naturally arise as well. Finally, the method for the dense covering of an invariant manifold with streamlines is outlined, which enables us to represent the geometry of the objects, statistical information on it, and the local flow properties at the same time.

Keywords: Invariant Manifold; Unstable Manifold; Anisotropic Diffusion; Complex Dynamical System; Particle Path (search for similar items in EconPapers)
Date: 2001
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-56589-2_18

Ordering information: This item can be ordered from
http://www.springer.com/9783642565892

DOI: 10.1007/978-3-642-56589-2_18

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().