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) |
|---|---|
| Journal | Journal of Fluid Mechanics |
| Volume | 755 |
| DOIs | |
| State | Published - 2014 |
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Keywords
- geophysical and astrophysical flows
- geostrophic turbulence
- ocean circulation
ASJC Scopus subject areas
- Mechanical Engineering
- Mechanics of Materials
- Condensed Matter Physics
Cite this
Addendum to 'Coherent Lagrangian vortices : The black holes of turbulence'. / Haller, G.; Beron-Vera, Francisco J.
In: Journal of Fluid Mechanics, Vol. 755, 2014.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Addendum to 'Coherent Lagrangian vortices
T2 - The black holes of turbulence'
AU - Haller, G.
AU - Beron-Vera, Francisco J
PY - 2014
Y1 - 2014
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
UR - http://www.scopus.com/inward/record.url?scp=84906233211&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84906233211&partnerID=8YFLogxK
U2 - 10.1017/jfm.2014.441
DO - 10.1017/jfm.2014.441
M3 - Article
AN - SCOPUS:84906233211
VL - 755
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
SN - 0022-1120
ER -