Enhancing Material Boundary Visualizations in 2D Unsteady Flow through Local Reference Frame Transformations

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dc.contributor.authorZhang, Xingdien_US
dc.contributor.authorRautek, Peteren_US
dc.contributor.authorTheußl, Thomasen_US
dc.contributor.authorHadwiger, Markusen_US
dc.contributor.editorAigner, Wolfgangen_US
dc.contributor.editorAndrienko, Nataliaen_US
dc.contributor.editorWang, Beien_US
dc.date.accessioned2025-05-26T06:38:11Z
dc.date.available2025-05-26T06:38:11Z
dc.date.issued2025
dc.description.abstractWe present a novel technique for the extraction, visualization, and analysis of material boundaries and Lagrangian coherent structures (LCS) in 2D unsteady flow fields relative to local reference frame transformations. In addition to the input flow field, we leverage existing methods for computing reference frames adapted to local fluid features, in particular those that minimize the observed time derivative. Although, by definition, transforming objective tensor fields between reference frames does not change the tensor field, we show that transforming objective tensors, such as the finite-time Lyapunov exponent (FTLE) or Lagrangian-averaged vorticity deviation (LAVD), or the second-order rate-of-strain tensor, into local reference frames that are naturally adapted to coherent fluid structures has several advantages: (1) The transformed fields enable analyzing LCS in space-time visualizations that are adapted to each structure; (2) They facilitate extracting geometric features, such as iso-surfaces and ridge lines, in a straightforward manner with high accuracy. The resulting visualizations are characterized by lower geometric complexity and enhanced topological fidelity. To demonstrate the effectiveness of our technique, we measure geometric complexity and compare it with iso-surfaces extracted in the conventional reference frame. We show that the decreased geometric complexity of the iso-surfaces in the local reference frame, not only leads to improved geometric and topological results, but also to a decrease in computation time.en_US
dc.description.sectionheadersFlow Vis
dc.description.seriesinformationComputer Graphics Forum
dc.identifier.doi10.1111/cgf.70128
dc.identifier.issn1467-8659
dc.identifier.pages12 pages
dc.identifier.urihttps://doi.org/10.1111/cgf.70128
dc.identifier.urihttps://diglib.eg.org/handle/10.1111/cgf70128
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectCCS Concepts: Human-centered computing → Visualization; Applied computing → Physical sciences and engineering
dc.subjectHuman centered computing → Visualization
dc.subjectApplied computing → Physical sciences and engineering
dc.titleEnhancing Material Boundary Visualizations in 2D Unsteady Flow through Local Reference Frame Transformationsen_US
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