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dc.contributor.advisorHadwiger, Markus
dc.contributor.authorZhang, Xingdi
dc.date.accessioned2021-11-25T06:49:20Z
dc.date.available2021-11-25T06:49:20Z
dc.date.issued2021-11-24
dc.identifier.citationZhang, X. (2021). An Interactive Exploration System for Physically-Observable Objective Vortices in Unsteady 2D Flow. KAUST Research Repository. https://doi.org/10.25781/KAUST-13H73
dc.identifier.doi10.25781/KAUST-13H73
dc.identifier.urihttp://hdl.handle.net/10754/673768
dc.description.abstractVortex detection has been a long-standing and challenging topic in fluid analysis. Recent state-of-the-art extraction and visualization of vortices in unsteady fluid flow employ objective vortex criteria, which makes feature extraction independent of reference frames or observers. However, even objectivity can only guarantee that different observers reach the same conclusions, but not necessarily guarantee that these conclusions are the only physically meaningful or relevant ones. Moreover, a significant challenge is that a single observer is often not sufficient to accurately observe multiple vortices that follow different motions. This thesis presents a novel mathematical framework that represents physically realizable observers as the Lie algebra of the Killing fields on the underlying manifold, together with a software system that enables the exploration and use of an interactively chosen set of observers, resulting in relative velocity fields and objective vortex structures in real-time. Based on our mathematical framework, our system facilitates the objective detection and visualization of vortices relative to well-adapted reference frame motions, while at the same time guaranteeing that these observers are physically realizable. We show how our framework speeds up the exploration of objective vortices in unsteady 2D flow, on planar as well as on spherical domains.
dc.language.isoen
dc.subjectflow visualization
dc.subjectvortex extraction
dc.subjectobserver frames of reference
dc.subjectkilling vector fields
dc.subjectlie derivatives
dc.titleAn Interactive Exploration System for Physically-Observable Objective Vortices in Unsteady 2D Flow
dc.typeThesis
dc.contributor.departmentComputer, Electrical and Mathematical Science and Engineering (CEMSE) Division
thesis.degree.grantorKing Abdullah University of Science and Technology
dc.contributor.committeememberPottmann, Helmut
dc.contributor.committeememberViola, Ivan
thesis.degree.disciplineComputer Science
thesis.degree.nameMaster of Science
refterms.dateFOA2021-11-25T06:49:21Z
kaust.request.doiyes


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