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  • Journal of Fluid Mechanics, Volume 535
  • July 2005, pp. 189-214

On the relationships between local vortex identification schemes

  • PINAKI CHAKRABORTY (a1), S. BALACHANDAR (a1) and RONALD J. ADRIAN (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112005004726
  • Published online: 05 July 2005
Abstract

We analyse the currently popular vortex identification criteria that are based on point-wise analysis of the velocity gradient tensor. A new measure of spiralling compactness of material orbits in vortices is introduced and using this measure a new local vortex identification criterion and requirements for a vortex core are proposed. The inter-relationships between the different criteria are explored analytically and in a few flow examples, using both zero and non-zero thresholds for the identification parameter. These inter-relationships provide a new interpretation of the various criteria in terms of the local flow kinematics. A canonical turbulent flow example is studied, and it is observed that all the criteria, given the proposed usage of threshold, result in remarkably similar looking vortical structures. A unified interpretation based on local flow kinematics is offered for when similarity or differences can be expected in the vortical structures educed using the different criteria.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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