Set-Oriented and Finite-Element Study of Coherent Behavior in Rayleigh-Bénard Convection
Publikation: Beiträge in Sammelwerken › Kapitel › begutachtet
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Advances in Dynamics, Optimization and Computation: A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday. Hrsg. / Oliver Junge; Oliver Schütze; Gary Froyland; Sina Ober-Blöbaum; Kathrin Padberg-Gehle. Cham: Springer Verlag, 2020. S. 86-108 (Studies in Systems, Decision and Control; Band 304).
Publikation: Beiträge in Sammelwerken › Kapitel › begutachtet
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TY - CHAP
T1 - Set-Oriented and Finite-Element Study of Coherent Behavior in Rayleigh-Bénard Convection
AU - Klünker, Anna
AU - Schneide, Christiane
AU - Froyland, Gary
AU - Schumacher, Jörg
AU - Padberg-Gehle, Kathrin
N1 - Publisher Copyright: © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020.
PY - 2020/1/1
Y1 - 2020/1/1
N2 - 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.
AB - 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.
KW - Mathematics
UR - http://www.scopus.com/inward/record.url?scp=85090254348&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/d91265fd-362f-3108-a524-c10c72cb894f/
U2 - 10.1007/978-3-030-51264-4_4
DO - 10.1007/978-3-030-51264-4_4
M3 - Chapter
SN - 978-3-030-51263-7
T3 - Studies in Systems, Decision and Control
SP - 86
EP - 108
BT - Advances in Dynamics, Optimization and Computation
A2 - Junge, Oliver
A2 - Schütze, Oliver
A2 - Froyland, Gary
A2 - Ober-Blöbaum, Sina
A2 - Padberg-Gehle, Kathrin
PB - Springer Verlag
CY - Cham
ER -