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

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.

• Publication year

  2010

• Venue

  Computer graphics forum (Print)

• Publication date

  2010-03-01

• Fields of study

  Mathematics, Physics, Computer Science

• Identifiers
  DOI 10.1111/j.1467-8659.2009.01546.xarXiv 1105.5678
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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