Trajectory-based computational study of coherent behavior in flows

Research output: Journal contributionsJournal articlesResearchpeer-review

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)
Original languageEnglish
JournalProceedings in applied mathematics and mechanics
Volume17
Issue number1
Pages (from-to)11-14
Number of pages4
ISSN1617-7061
DOIs
Publication statusPublished - 12.2017
Event88th Annual Meeting of the International Association of Applied Mathematics and Mechanics - GAMM 2017 - Weimar, Germany
Duration: 06.03.201710.03.2017
Conference number: 88
https://jahrestagung.gamm-ev.de/index.php/2017/annual-meeting-2017

Bibliographical note

Volume 17 (2017) of PAMM “Proceedings in Applied Mathematics and Mechanics” assembles the contributions to the 88th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik (GAMM), held 6 – 10 March 2017 at Weimar, Germany, supported by Bauhaus‐Universität Weimar and Technische Universität Ilmenau.

DOI

Recently viewed

Researchers

  1. Peter Leonhard

Publications

  1. Adjustable automation and manoeuvre control in automated driving
  2. Errors, error taxonomies, error prevention, and error management
  3. On the Equivalence of Transmission Problems in Nonoverlapping Domain Decomposition Methods for Quasilinear PDEs
  4. Computational Swarming
  5. Distributable Modular Software Framework for Manufacturing Systems
  6. Switching cascade controllers combined with a feedforward regulation for an aggregate actuator in automotive applications
  7. Correction to
  8. The lens of polycentricity
  9. Sensorimotor Control and Proprioception in Neurorehabilitation
  10. Shifts in plant functional trait dynamics in relation to soil microbiome in modern and wild barley
  11. Revegetation in agricultural areas: the development of structural complexity and floristic diversity
  12. Vibration Converter with Passive Energy Management for Battery‐Less Wireless Sensor Nodes in Predictive Maintenance
  13. Searching for New Languages, Searching for Minor Voices in the Archive
  14. Injection of CO2 for the inhibition of scaling in ATES systems
  15. How Founders Harness Tensions in Hybrid Venture Development
  16. Editorial: Courts in Context. An Empirical Re-Evaluation of Categorization in the Asylum Regime
  17. Microstructure and hardness evolution of laser metal deposited AA5087 wall-structures
  18. Soziale Netzwerkanalyse
  19. Public Value
  20. Utilizing international networks for accelerating research and learning in transformational sustainability science
  21. Biodiversity and Resilience of Ecosystem Functions
  22. Schulleitungsmonitor Schweiz 2022
  23. Internet-Based Guided Self-Help for Vaginal Penetration Difficulties
  24. The Boundary Objects Concept: Theorizing Film and Media.
  25. Knowledge Production in Consulting Teams
  26. The Weinberg-Salam Model of Electroweak Interactions
  27. Spatial scaling of extinction rates
  28. A Glue from Snail Slime?!
  29. A call for statistical editors in ecology
  30. Variational Pragmatics
  31. Heat and light
  32. (Inhibiting) Factors for (Un)Sustainable Behaviour in Relation to the Effects of Education for Sustainable Development
  33. Science, policy and implementation gaps: An exploration of groundwater management in Hungary
  34. Der gegenwärtige Jazzdiskurs in Deutschland
  35. Fixed-term contracts and employment adjustment