State of the Art in Time-Dependent Flow Topology: Interpreting Physical Meaningfulness Through Mathematical Properties

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dc.contributor.authorBujack, Roxanaen_US
dc.contributor.authorYan, Linen_US
dc.contributor.authorHotz, Ingriden_US
dc.contributor.authorGarth, Christophen_US
dc.contributor.authorWang, Beien_US
dc.contributor.editorSmit, Noeska and Oeltze-Jafra, Steffen and Wang, Beien_US
dc.date.accessioned2020-05-24T13:53:53Z
dc.date.available2020-05-24T13:53:53Z
dc.date.issued2020
dc.description.abstractWe present a state-of-the-art report on time-dependent flow topology. We survey representative papers in visualization and provide a taxonomy of existing approaches that generalize flow topology from time-independent to time-dependent settings. The approaches are classified based upon four categories: tracking of steady topology, reference frame adaption, pathline classification or clustering, and generalization of critical points. Our unique contributions include introducing a set of desirable mathematical properties to interpret physical meaningfulness for time-dependent flow visualization, inferring mathematical properties associated with selective research papers, and utilizing such properties for classification. The five most important properties identified in the existing literature include coincidence with the steady case, induction of a partition within the domain, Lagrangian invariance, objectivity, and Galilean invariance.en_US
dc.description.documenttypestar
dc.description.number3
dc.description.sectionheadersFlow Visualization
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume39
dc.identifier.doi10.1111/cgf.14037
dc.identifier.issn1467-8659
dc.identifier.pages811-835
dc.identifier.urihttps://doi.org/10.1111/cgf.14037
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf14037
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.titleState of the Art in Time-Dependent Flow Topology: Interpreting Physical Meaningfulness Through Mathematical Propertiesen_US
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