Time-Dependent 2-D Vector Field Topology: An Approach Inspired by Lagrangian Coherent Structures
No Thumbnail Available
Date
2010
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and Blackwell Publishing Ltd
Abstract
This paper presents an approach to a time-dependent variant of the concept of vector field topology for 2-D vector fields. Vector field topology is defined for steady vector fields and aims at discriminating the domain of a vector field into regions of qualitatively different behaviour. The presented approach represents a generalization for saddle-type critical points and their separatrices to unsteady vector fields based on generalized streak lines, with the classical vector field topology as its special case for steady vector fields. The concept is closely related to that of Lagrangian coherent structures obtained as ridges in the finite-time Lyapunov exponent field. The proposed approach is evaluated on both 2-D time-dependent synthetic and vector fields from computational fluid dynamics.
Description
@article{10.1111:j.1467-8659.2009.01546.x,
journal = {Computer Graphics Forum},
title = {{Time-Dependent 2-D Vector Field Topology: An Approach Inspired by Lagrangian Coherent Structures}},
author = {Sadlo, F. and Weiskopf, D.},
year = {2010},
publisher = {The Eurographics Association and Blackwell Publishing Ltd},
ISSN = {1467-8659},
DOI = {10.1111/j.1467-8659.2009.01546.x}
}