Coherent Structure Detection using Topological Tools and a Graph Theoretic Approach

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dc.contributorSidman, Jessica
dc.contributorPeterson, Mark
dc.contributor.advisorSmith, Spencer
dc.contributor.authorWilson, Caledonia
dc.date.accessioned2019-06-10T13:14:46Z
dc.date.available2019-06-10T13:14:46Z
dc.date.gradyear2019en_US
dc.date.issued2019-06-10
dc.description.abstractFor general aperiodic fluid flows, coherent structures help organize the dynamics. The prevalence of such flows in nature and industry has motivated many successful techniques for defining and detecting coherent structures. However, these approaches often require very fine trajectory data to reconstruct velocity fields. Instead, we use topological techniques to detect coherent trajectory sets in relatively sparse two-dimensional fluid advection problems. More specifically, we use a homotopy-based algorithm, the ensemble-based topological entropy calculation (E-tec), which evolves fluid material curves forward in time as minimal length bands stretched about the moving data points. These bands are represented as the weighted edges of a triangulation, which allows us to analyze flows using graph theory. In this way, highly connected components of appropriately constructed graphs can be used to partition the fluid particles into coherent trajectory sets.en_US
dc.description.sponsorshipPhysicsen_US
dc.identifier.urihttp://hdl.handle.net/10166/5694
dc.language.isoen_USen_US
dc.rights.restrictedpublicen_US
dc.subjectfluid dynamicsen_US
dc.subjectcomputational physicsen_US
dc.subjectcoherent structuresen_US
dc.subjecttopological entropyen_US
dc.subjectgraph theoryen_US
dc.titleCoherent Structure Detection using Topological Tools and a Graph Theoretic Approachen_US
dc.typeThesis
mhc.degreeUndergraduateen_US
mhc.institutionMount Holyoke College

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