POD-spectral decomposition for fluid flow analysis and model reduction

Décomposition POD-spectral pour l'analyse des écoulements de fluide et la réduction de modèle

Cammilleri, A. ; Gueniat, F. ; Carlier J., ; Pastur, L. ; Memin, E. ; Lusseyran, F. ; Artana, G.

Type de document
Article de revue scientifique à comité de lecture
Langue
Anglais
Affiliation de l'auteur
UNIVERSIDAD DE BUENOS AIRES CONICET LFD FI BUENOS AIRES ARG ; UNIVERSITE PARIS SUD 11 LIMSI CNRS ORSAY FRA ; IRSTEA RENNES UR TERE FRA ; UNIVERSITE PARIS SUD 11 LIMSI CNRS ORSAY FRA ; INRIA FLUMINANCE RENNES FRA ; UNIVERSITE PARIS SUD 11 LIMSI CNRS ORSAY FRA ; UNIVERSIDAD DE BUENOS AIRES CONICET LFD FI BUENOS AIRES ARG
Année
2013
Résumé / Abstract
We propose an algorithm that combines proper orthogonal decomposition with a spectral method to analyze and extract reduced ordermodels of flows from time data series of velocity fields. The flows considered in this study are assumed to be driven by non-linear dynamical systems exhibiting a complex behavior within quasiperiodic orbits in the phase space. The technique is appropriate to achieve efficient reduced order models even in complex cases for which the flow description requires a discretization with a fine spatial and temporal resolution. The proposed analysis enables to decompose complex flow dynamics into modes oscillating at a single frequency. These modes are associated with different energy levels and spatial structures. The approach is illustrated using time-resolved PIV data of a cylinder wake flow with associated Reynolds number equal to 3,900.
Source
Theoretical and Computational Fluid Dynamics, vol. 27, num. 6, p. 787 - 815

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