Efficient computation of null geodesics with applications to coherent vortex detection. Recent results suggest that boundaries of coherent fluid vortices (elliptic coherent structures) can be identified as closed null geodesics of appropriate Lorentzian metrics defined on the flow domain. Here we derive an automated method for computing such null geodesics based on the geometry of the underlying geodesic flow. Our approach simplifies and improves existing procedures for computing variationally defined Eulerian and Lagrangian vortex boundaries. As an illustration, we compute objective vortex boundaries from satellite-inferred ocean velocity data. A MATLAB implementation of our method is available at https://github.com/MattiaSerra/Closed-Null-Geodesics-2D.
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References in zbMATH (referenced in 4 articles , 1 standard article )
Showing results 1 to 4 of 4.
- Haller, George; Karrasch, Daniel; Kogelbauer, Florian: Barriers to the transport of diffusive scalars in compressible flows (2020)
- Karrasch, Daniel; Schilling, Nathanael: Fast and robust computation of coherent Lagrangian vortices on very large two-dimensional domains (2020)
- Hadjighasem, Alireza; Farazmand, Mohammad; Blazevski, Daniel; Froyland, Gary; Haller, George: A critical comparison of Lagrangian methods for coherent structure detection (2017)
- Serra, Mattia; Haller, George: Efficient computation of null geodesics with applications to coherent vortex detection (2017)