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Time Line Cell Tracking for the Approximation of Lagrangian Coherent Structures with Subgrid Accuracy
Zuse‐Institut Berlin, Germany.
Geometric Modeling and Scientific Visualization Center, King Abdullah University of Science and Technology, KSA, Saudi Arabia.
Institute for Simulation and Graphics, University of Mageburg, Germany.
Geometric Modeling and Scientific Visualization CenterKing Abdullah University of Science and Technology, KSA, Saudi Arabia.
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2013 (English)In: Computer Graphics Forum, John Wiley & Sons, 2013, Vol. 33, p. 222-234Conference paper, Published paper (Refereed)
Abstract [en]

Lagrangian 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.

Place, publisher, year, edition, pages
John Wiley & Sons, 2013. Vol. 33, p. 222-234
National Category
Computer Sciences
Identifiers
URN: urn:nbn:se:liu:diva-151734DOI: 10.1111/cgf.12269OAI: oai:DiVA.org:liu-151734DiVA, id: diva2:1253133
Conference
Major Revision from EuroVis Symposium
Available from: 2018-10-03 Created: 2018-10-03 Last updated: 2018-10-12Bibliographically approved

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Engelke, Wito

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  • asciidoc
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