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) |
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Pages (from-to) | R3 |
Journal | Journal of Fluid Mechanics |
Volume | 755 |
DOIs | |
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