A Modified Double Gyre with Ground Truth Hyperbolic Trajectories for Flow Visualization

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dc.contributor.authorWolligandt, S.en_US
dc.contributor.authorWilde, T.en_US
dc.contributor.authorRössl, C.en_US
dc.contributor.authorTheisel, H.en_US
dc.contributor.editorBenes, Bedrich and Hauser, Helwigen_US
dc.date.accessioned2021-02-27T19:02:29Z
dc.date.available2021-02-27T19:02:29Z
dc.date.issued2021
dc.description.abstractThe model of a 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 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 , 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.en_US
dc.description.number1
dc.description.sectionheadersArticles
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume40
dc.identifier.doi10.1111/cgf.14183
dc.identifier.issn1467-8659
dc.identifier.pages209-221
dc.identifier.urihttps://doi.org/10.1111/cgf.14183
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf14183
dc.publisher© 2021 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltden_US
dc.subjectflow visualization
dc.subjectvisualization
dc.titleA Modified Double Gyre with Ground Truth Hyperbolic Trajectories for Flow Visualizationen_US
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