TY - JOUR
T1 - Addendum to 'Coherent Lagrangian vortices
T2 - The black holes of turbulence'
AU - Haller, G.
AU - Beron-Vera, F. J.
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2014/9
Y1 - 2014/9
N2 - 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.
AB - 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.
KW - geophysical and astrophysical flows
KW - geostrophic turbulence
KW - ocean circulation
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U2 - 10.1017/jfm.2014.441
DO - 10.1017/jfm.2014.441
M3 - Article
AN - SCOPUS:84906233211
VL - 755
SP - R3
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
SN - 0022-1120
ER -