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DYNAMIC MODE DECOMPOSITION OF PIV MEASUREMENTS FOR CYLINDER WAKE FLOW IN TURBULENT REGIME

Gilles Tissot
PPRIME Institute, CEAT, 43 route de l'aerodrome, 86000 Poitiers, France

Laurent Cordier
Department Fluides, Thermique, Combustion, CEAT Institut PPRIME, CNRS-Universite de Poitiers-ENSMA, UPR 3346 43 rue de I'Aerodrome, F-86036 Poitiers CEDEX, France

Nicolas Benard
Department of Fluids, Thermique et Combustion Institut PPRIME (CNRS UPR3346, Université de Poitiers, ISAE-ENSMA) Bd Marie & Pierre Curie, BP 30279, 86962 Futuroscope, France

Bernd R. Noack
Berlin Institute of Technology MB1 Strasse des 17. Juni 135, D-10623 Berlin, Germany; Departement Fluides, Thermique, Combustion Institut PPRIME, CNRS UPR 3346 CEAT, 43 rue de I'Aerodrome, F-86036 Poitiers, FRANCE

Resumo

Dynamic Mode Decomposition (DMD) is a new post-processing technique that can extract from snapshots dynamic informations relevant for the flow. Without explicit knowledge of the dynamical operator, the DMD algorithm determines eigenvalues and eigenvectors of an approximate linear model. DMD can be viewed as a non linear generalization of global stability classically used for a linearized system. This algorithm can be used to determine the eigen-elements of the Koopman operator, an infinite dimensional linear operator associated with the nonlinear system. The ability of DMD to extract dynamically relevant features of the flow has been tested on an experimental PIV dataset of a turbulent cylinder wake flow.