Open-flow mixing and transfer operators

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Authors

We study finite-time mixing in time-periodic open flow systems. We describe the transport of densities in terms of a transfer operator, which is represented by the transition matrix of a finite-state Markov chain. The transport processes in the open system are organized by the chaotic saddle and its stable and unstable manifolds. We extract these structures directly from leading eigenvectors of the transition matrix. We use different measures to quantify the degree of mixing and show that they give consistent results in parameter studies of two model systems. This article is part of the theme issue 'Mathematical problems in physical fluid dynamics (part 1)'.

OriginalspracheEnglisch
Aufsatznummer20210028
ZeitschriftPhilosophical transactions. Series A, Mathematical, physical, and engineering sciences
Jahrgang380
Ausgabenummer2225
Anzahl der Seiten22
ISSN1364-503X
DOIs
PublikationsstatusErschienen - 13.06.2022

Bibliographische Notiz

Funding Information:
This research has been supported by the Deutsche Forschungsgemeinschaft within the Priority Programme DFG-SPP 1881 on Turbulent Superstructures. A.K. and K.P.-G. thank Sanjeeva Balasuriya for fruitful discussions.

Publisher Copyright:
© 2022 The Author(s).

Zugehörige Projekte

  • Lagrangesche Aspekte turbulenter Superstrukturen: numerische Analyse der Langzeitdynamik und Transporteigenschaften

    Projekt: Forschung

DOI

Zuletzt angesehen

Publikationen

  1. Experimental Tests for an Innovative Catamaran Prototype
  2. Excludable and non-excludable public inputs
  3. Resource Allocation in Startup Teams: Exploring Entrepreneurial Coping with Radical Uncertainty during the Corona Pandemic
  4. Ist Cola sauer?
  5. Vocational exploration: Multivariate predictors and effect on confidence development in adolescence
  6. Probing turbulent superstructures in Rayleigh-Bénard convection by Lagrangian trajectory clusters
  7. Differential responses of ecosystem components to a low-intensity fire in a Mediterranean forest
  8. Being engaged when resources are low
  9. Species richness stabilizes productivity via asynchrony and drought-tolerance diversity in a large-scale tree biodiversity experiment
  10. An assessment of the published results of animal relocations
  11. Degrees of Integration
  12. Microeconometric Studies on Firm Behavior and Performance
  13. Design of a Real Time Path of Motion Control for Manufacturing Applications
  14. Fast Catch Bumerang
  15. Resolving Incompleteness on Social Media
  16. The five-factor asset pricing model – A theoretical review and assessment
  17. Fluid-structure interaction modelling of a soft pneumatic actuator
  18. The Supply of Project Information to External Stakeholders
  19. Ankunft einer Katze
  20. Do members of disadvantaged groups explain group status with group stereotypes?
  21. Idiosyncratic volatility, option-based measures of informed trading, and investor attention
  22. Studying embodied encounters
  23. Maintaining the impact of action-oriented entrepreneurship training
  24. Leveraging the macro-level environment to balance work and life