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dc.contributor.authorKuhn, Alexander
dc.contributor.authorEngelke, Wito
dc.contributor.authorRössl, Christian
dc.contributor.authorHadwiger, Markus
dc.contributor.authorTheisel, Holger
dc.date.accessioned2015-08-03T11:36:50Z
dc.date.available2015-08-03T11:36:50Z
dc.date.issued2013-12-05
dc.identifier.issn01677055
dc.identifier.doi10.1111/cgf.12269
dc.identifier.urihttp://hdl.handle.net/10754/563145
dc.description.abstractLagrangian coherent structures (LCSs) have become a widespread and powerful method to describe dynamic motion patterns in time-dependent flow fields. The standard way to extract LCS is to compute height ridges in the finite-time Lyapunov exponent field. In this work, we present an alternative method to approximate Lagrangian features for 2D unsteady flow fields that achieve subgrid accuracy without additional particle sampling. We obtain this by a geometric reconstruction of the flow map using additional material constraints for the available samples. In comparison to the standard method, this allows for a more accurate global approximation of LCS on sparse grids and for long integration intervals. The proposed algorithm works directly on a set of given particle trajectories and without additional flow map derivatives. We demonstrate its application for a set of computational fluid dynamic examples, as well as trajectories acquired by Lagrangian methods, and discuss its benefits and limitations. © 2013 The Authors Computer Graphics Forum © 2013 The Eurographics Association and John Wiley & Sons Ltd.
dc.description.sponsorshipThis work was partially funded by the German Federal Ministry of Education and Research under grant number 01LK1213A.
dc.publisherWiley
dc.subjectfinite-time Lyapunov exponents (FTLE)
dc.subjectflow field visualization
dc.subjectLagrangian Coherent Structures (LCS)
dc.subjectmaterial surfaces
dc.subjecttime lines
dc.subjecttime-dependent vector fields
dc.titleTime line cell tracking for the approximation of lagrangian coherent structures with subgrid accuracy
dc.typeArticle
dc.contributor.departmentVisual Computing Center (VCC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentComputer Science Program
dc.identifier.journalComputer Graphics Forum
dc.contributor.institutionZuse-Institut Berlin, Germany
dc.contributor.institutionInstitute for Simulation and Graphics, University of Mageburg, Germany
kaust.personHadwiger, Markus
kaust.personEngelke, Wito
dc.date.published-online2013-12-05
dc.date.published-print2014-02


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