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

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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.
Original languageEnglish
Title of host publicationAdvances in Dynamics, Optimization and Computation : A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday
EditorsOliver Junge, Oliver Schütze, Gary Froyland, Sina Ober-Blöbaum, Kathrin Padberg-Gehle
Number of pages23
Place of PublicationCham
PublisherSpringer
Publication date01.01.2020
Pages86-108
ISBN (print)978-3-030-51263-7
ISBN (electronic)978-3-030-51264-4
DOIs
Publication statusPublished - 01.01.2020

Bibliographical note

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