Set-Oriented and Finite-Element Study of Coherent Behavior in Rayleigh-Bénard Convection

Publikation: Beiträge in SammelwerkenKapitelbegutachtet

Authors

Transfer operator methods have been recognized as powerful tools for the computational study of transport and mixing processes in nonautonomous dynamical systems. The main applications in this context have been geophysical flows with large-scale and long-lived isolated vortical coherent flow structures such as eddies or gyres. The present paper aims to demonstrate the applicability of set-oriented and finite-element frameworks to more complex systems. To this end, we study coherent behavior in turbulent Rayleigh-Bénard convection in two- and three-dimensional settings.
OriginalspracheEnglisch
TitelAdvances in Dynamics, Optimization and Computation : A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday
HerausgeberOliver Junge, Oliver Schütze, Gary Froyland, Sina Ober-Blöbaum, Kathrin Padberg-Gehle
Anzahl der Seiten23
ErscheinungsortCham
VerlagSpringer Verlag
Erscheinungsdatum01.01.2020
Seiten86-108
ISBN (Print)978-3-030-51263-7
ISBN (elektronisch)978-3-030-51264-4
DOIs
PublikationsstatusErschienen - 01.01.2020

Bibliographische Notiz

Funding Information:
Acknowledgements. KPG is thankful for the many fruitful discussions with Michael Dellnitz over the past more than twenty years. His fundamental contributions to the transfer operator based analysis of transport processes in dynamical systems have had a huge impact on the development of the overall field and on her own research. GF thanks Michael Dellnitz for countless stimulating mathematical discussions, for introducing him to the idea of almost-invariant sets, and for introducing him to his German colleagues in the late 90s, many of whom remain collaborators (and friends). Michael Dellnitz has also been one of the drivers of the Priority Programme SPP 1881 Turbulent Superstructures of the Deutsche Forschungsgemeinschaft by which the present work is supported and the authors are grateful for this. GF additionally thanks Universities Australia and the DAAD for a joint research travel grant, which partially supported his visit to Germany.

Publisher Copyright:
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020.

Zugehörige Projekte

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

    Projekt: Forschung

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