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Automated extraction of barriers to diffusive transport in two-dimensional velocity fields

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Automated extraction of material barriers in two-dimensional velocity fields

License

This software is made public for research use only. It may be modified and redistributed under the terms of the GNU General Public License.

Algorithm

BarrierTool implements theoretical results developed by the Haller Group at ETH Zurich. More specifically, the code presented here provides a fully automated identification of black-hole eddies [1], diffusive transport barriers [2], diffusive vortex boundaries [3] and objective Eulerian Coherent Structures [4] in an objective (observer-independent) fashion. You may find more details about the underlying algorithm [5] as well as instructions on how to navigate through the Graphical User Interface (GUI) or use the scripts in the file "MANUAL.pdf" contained in the repository.

References

[1] G. Haller & F.J. Beron-Vera, Coherent Lagrangian vortices: The black holes of turbulence. J. Fluid Mech. 731 (2013) R4.

[2] G. Haller, D. Karrasch & F. Kogelbauer, Material barriers to diffusive and stochastic transport. Proc. Natl. Acad. Sci. U.S.A. (2018).

[3] S. Katsanoulis, M. Farazmand, M. Serra & G. Haller, Diffusive vortex boundaries as material barriers to vorticity transport in two-dimensional flows. Phys. Rev. Fluids 5 (2020) 024701.

[4] M. Serra & G. Haller, Objective Eulerian coherent structures. Chaos26 (2016).

[5] M. Serra & G. Haller, Efficient computation of null geodesics with applications to coherent vortex detection. Proc. Royal Soc. A 473 (2017).

Tested on Matlab R2019a.

NOTE: This code may be improved and is subject to several changes. Therefore, we suggest to visit this page and check if the version you downloaded is up to date.

Maintained by Stergios Katsanoulis,

katsanos at ethz dot ch

June 17, 2020.

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Automated extraction of barriers to diffusive transport in two-dimensional velocity fields

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