4.7 Article

Addendum to 'Coherent Lagrangian vortices: the black holes of turbulence'

Journal

JOURNAL OF FLUID MECHANICS
Volume 755, Issue -, Pages -

Publisher

CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2014.441

Keywords

geophysical and astrophysical flows; geostrophic turbulence; ocean circulation

Funding

  1. NSF [CMG0825547]
  2. BP/Gulf of Mexico Research Initiative
  3. Directorate For Geosciences
  4. Division Of Ocean Sciences [0825547] Funding Source: National Science Foundation

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In Haller & Beron-Vera (J. Fluid Mech., vol. 731, 2013, R4) we developed a variational principle for the detection of coherent Lagrangian vortex boundaries. The solutions of this variational principle turn out to be closed null geodesics of the Lorentzian metric induced by a generalized Green-Lagrange strain tensor family. This metric interpretation implies a mathematical analogy between coherent Lagrangian vortex boundaries and photon spheres in general relativity. Here, we give an improved discussion of this analogy.

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