Time-Dependent 2-D Vector Field Topology: An Approach Inspired by Lagrangian Coherent Structures

Details Time-Dependent 2-D Vector Field Topology: An Approach Inspired by Lagrangian Coherent Structures Time-Dependent 2-D Vector Field Topology: An Approach Inspired by Lagrangian Coherent Structures

2011-05-28

arxiv.org/abs/1105.5678v1

Computer Graphics Forum, Volume 29, Issue 1, pages 88-100, March 2010

Computer Science

Graphics

Scientific paper

10.1111/j.1467-8659.2009.01546.x

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.

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