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Detection of Lagrangian coherent structures in three-dimensional turbulence

  • M. A. GREEN (a1), C. W. ROWLEY (a1) and G. HALLER (a2)
Abstract

We use direct Lyapunov exponents (DLE) to identify Lagrangian coherent structures in two different three-dimensional flows, including a single isolated hairpin vortex, and a fully developed turbulent flow. These results are compared with commonly used Eulerian criteria for coherent vortices. We find that despite additional computational cost, the DLE method has several advantages over Eulerian methods, including greater detail and the ability to define structure boundaries without relying on a preselected threshold. As a further advantage, the DLE method requires no velocity derivatives, which are often too noisy to be useful in the study of a turbulent flow. We study the evolution of a single hairpin vortex into a packet of similar structures, and show that the birth of a secondary vortex corresponds to a loss of hyperbolicity of the Lagrangian coherent structures.

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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

G. Haller 2001 Distinguished material surfaces and coherent structures in 3D fluid flows. Physica D 149, 248277.

G. Haller & G. Yuan 2000 Lagrangian coherent structures and mixing in two dimensional turbulence. Physica D 147, 352370.

J. Jeong & F. Hussein 1995 On the identification of a vortex. J. Fluid Mech. 285, 6994.

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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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