DSWeb Dynamical Systems Software aims to collect all available software on dynamical systems theory. This project was originally launched during the special year Emerging Applications of Dynamical Systems, 1997/1998, at the Institute for Mathematics and its Applications. The information here includes functionality, platforms, languages, references, and contacts.

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BarrierTool

Honorable Mention - DSWeb 2019 Tutorials on DS Software Contest, Student Category

By Stergios Katsanoulis
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Overview

BarrierTool is a MATLAB Graphical User Interface (GUI) that implements recent advancements in the detection of transport barriers for two dimensional fluid flows. It is intended for oceanographers, CFD analysts as well as fluid dynamicists in general, with an interest in uncovering distinguished curves that exert major influence on nearby trajectories over a specific time interval in the flow of interest.

BarrierTool along with its manual and example dataset can be downloaded from the following link: BarrierTool-master.zip (35.13 MB).

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 conservative [1], diffusive [3] transport barriers and their instantaneous (Eulerian) counterparts [3] in an objective (observer-independent) fashion. You may find more details about the underlying algorithm [4] as well as instructions on how to navigate through the Graphical User Interface (GUI) in the file "MANUAL.pdf" contained in the repository.

References

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

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

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

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

Model
  • ODEs
  • Other
Software Type
  • Package
Language
  • MatLab
Platform
  • Unix
  • Linux
  • Windows
  • MacOS
Contact Person
References to Papers

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

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

Documents to download

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