Trajectory-based computational study of coherent behavior in flows

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Authors

The notion of coherence in time‐dependent dynamical systems is used to describe mobile sets that do not freely mix with the surrounding regions in phase space. In particular, coherent behavior has an impact on transport and mixing processes in fluid flows. The mathematical definition and numerical study of coherent structures in flows has received considerable scientific interest for about two decades. However, mathematically sound methodologies typically require full knowledge of the flow field or at least high resolution trajectory data, which may not be available in applications. Recently, different computational methods have been proposed to identify coherent behavior in flows directly from Lagrangian trajectory data, such as obtained from particle tracking algorithms. In this context, spatio‐temporal clustering algorithms have been proven to be very effective for the extraction of coherent sets from sparse and possibly incomplete trajectory data. Inspired by these recent approaches, we consider an unweighted, undirected network, in which Lagrangian particle trajectories serve as network nodes. A link is established between two nodes if the respective trajectories come close to each other at least once in the course of time. Classical graph algorithms are then employed to analyze the resulting network. In particular, spectral graph partitioning schemes allow us to extract coherent sets of the underlying flow. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
OriginalspracheEnglisch
ZeitschriftProceedings in applied mathematics and mechanics
Jahrgang17
Ausgabenummer1
Seiten (von - bis)11-14
Anzahl der Seiten4
ISSN1617-7061
DOIs
PublikationsstatusErschienen - 12.2017
Veranstaltung88th Annual Meeting of the International Association of Applied Mathematics and Mechanics - GAMM 2017 - Weimar, Deutschland
Dauer: 06.03.201710.03.2017
Konferenznummer: 88
https://jahrestagung.gamm-ev.de/index.php/2017/annual-meeting-2017

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