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Title: A modified double gyre with ground truth hyperbolic trajectories for flow visualization
Author(s): Wolligandt, Steve
Wilde, ThomasLook up in the Integrated Authority File of the German National Library
Rössl, Christian
Theisel, HolgerLook up in the Integrated Authority File of the German National Library
Issue Date: 2021
Type: Article
Language: English
URN: urn:nbn:de:gbv:ma9:1-1981185920-872785
Subjects: Flow visualization
Abstract: Themodel of a DoubleGyre flow by Shadden et al. is a standard benchmark data set for the computation of hyperbolic Lagrangian Coherent Structures (LCS) in flow data. While structurally extremely simple, it generates hyperbolic LCS of arbitrary complexity. Unfortunately, the Double Gyre does not come with a well-defined ground truth: the location of hyperbolic LCS boundaries can only be approximated by numerical methods that usually involve the gradient of the flow map. We present a new benchmark data set that is a small but carefully designed modification of the Double Gyre, which comes with ground truth closed-form hyperbolic trajectories. This allows for computing hyperbolic LCS boundaries by a simple particle integration without the consideration of the flow map gradient. We use these hyperbolic LCS as a ground truth solution for testing an existing numerical approach for extracting hyperbolic trajectories. In addition, we are able to construct hyperbolic LCS curves that are significantly longer than in existing numerical methods.
Open Access: Open access publication
License: (CC BY 4.0) Creative Commons Attribution 4.0(CC BY 4.0) Creative Commons Attribution 4.0
Sponsor/Funder: Projekt DEAL 2020
Journal Title: Computer graphics forum
Publisher: Wiley-Blackwell
Publisher Place: Oxford
Volume: 40
Issue: 1
Original Publication: 10.1111/cgf.14183
Page Start: 209
Page End: 221
Appears in Collections:Fakultät für Informatik (OA)

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