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

Activities

  1. Investigating learner pragmatics at the discourse level: Challenges, complexities and insights
  2. International Conference on Mathematical Models & Computational Techniques in Science & Engineering - MMCTSE2020 
  3. Coherent sets in nonautonomous dynamics
  4. Acceptance and Feasibility of a mobile application for panic with and without agoraphobia
  5. Towards a Research Program in Design, Inovation and Aesthetics
  6. Coauthoring an interorganizational collaboration: Exploring multi-voicedness and introducing spatiotemporal orientations
  7. Workshop „Meta-Image Day 2012”
  8. Robots versus Machines
  9. An Evidence-based Approach to the Assessment of Public Participation in Environmental Governance: A conceptual and methodological overview of the ‘EDGE’ project
  10. Kunstuniversität Linz
  11. HyperKult XXI. 2012
  12. Dynamics Days Europe 2018
  13. Rudimentary theory of entrepreneurship
  14. How teachers use digital data: a systematic review
  15. 2nd International Conference on Mathematics and Computers in Science and Engineering - MACISE 2020
  16. Linking Teaching and Learning Formats with Student Development of Key Sustainability Competencies
  17. School Innovation through Knowledge Flows: Does Open Innovation Make the Difference?
  18. Do we need a new paradigm for mastering existing and future challenges of the urban water cycle
  19. Corporate Responsibility Evolution Models: Concepts, Evidence and Implications
  20. Ocean eddies and the polar vortex: coherence in complex systems
  21. Sym­po­si­um "Degrees of Freedom. Art Programs at Universities"
  22. Lodz University of Technology
  23. Art and Sustainability: Aesthetics of Complexity
  24. Conceptualising Animal Resistance: Questions and Approaches
  25. Workshop: Schreibtypengerecht Schreiben - 2018
  26. Journal of Pragmatics (Zeitschrift)
  27. Reciprocity and Democracy
  28. 20th Annual European Symposium on Algorithms - ESA 2012
  29. Where tasks, technology, and textbooks meet: Intelligent tutoring systems on the task-based language teacher's horizon (SLTED, Universität Wien)

Publications

  1. Visualizing the Hidden Activity of Artificial Neural Networks
  2. Mathematics in Robot Control for Theoretical and Applied Problems
  3. Analyzing User Journey Data In Digital Health: Predicting Dropout From A Digital CBT-I Intervention
  4. Restoring Causal Analysis to Structural Equation ModelingReview of Causality: Models, Reasoning, and Inference (2nd Edition), by Judea Pearl
  5. Outperformed by a Computer? - Comparing Human Decisions to Reinforcement Learning Agents, Assigning Lot Sizes in a Learning Factory
  6. Using Language Learning Resources on YouTube
  7. Efficacy of an internet and app-based gratitude intervention in reducing repetitive negative thinking and mechanisms of change in the intervention's effect on anxiety and depression
  8. A Framework for Applying Natural Language Processing in Digital Health Interventions
  9. Linking the multi-level perspective with social representations theory
  10. Digital teaching as an instrument for cross-location teaching networks in medical informatics
  11. Glitch(ing)! A refusal and gateway to more caring techno-urban worlds?
  12. Policy implementation through multi-level governance
  13. Adapting videogame interfaces for the visually impaired
  14. Head turn scaling below the threshold of perception in immersive virtual environments
  15. Perceptions of Resource Criticality in Times of Resource Scarcity
  16. Determinants and Development of Schools in Organization Theory
  17. MICSIM: Concept, Developments, and Applications of a PC Microsimulation Model for Research and Teaching
  18. A matter of connection