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

G. Haller; F. J. Beron-Vera

doi:10.1017/jfm.2014.441

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

G. Haller, F. J. Beron-Vera

Atmospheric Sciences

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	R3
Journal	Journal of Fluid Mechanics
Volume	755
DOIs	https://doi.org/10.1017/jfm.2014.441
State	Published - Sep 2014

Keywords

geophysical and astrophysical flows
geostrophic turbulence
ocean circulation

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1017/jfm.2014.441

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abstract = "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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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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Addendum to 'Coherent Lagrangian vortices: The black holes of turbulence'

Abstract

Keywords

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