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POD-spectral decomposition for fluid flow analysis and model reduction
We propose an algorithm that combines proper orthogonal decomposition with a spectral method to analyze and extract reduced order models 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...
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| Published in: | Theoretical and computational fluid dynamics 2013-11, Vol.27 (6), p.787-815 |
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| Main Authors: | , , , , , , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c498t-979126134e596806b0ca05dc75227535224f7602b1648180aa59b086341479ff3 |
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| cites | cdi_FETCH-LOGICAL-c498t-979126134e596806b0ca05dc75227535224f7602b1648180aa59b086341479ff3 |
| container_end_page | 815 |
| container_issue | 6 |
| container_start_page | 787 |
| container_title | Theoretical and computational fluid dynamics |
| container_volume | 27 |
| creator | Cammilleri, A. Gueniat, F. Carlier, J. Pastur, L. Memin, E. Lusseyran, F. Artana, G. |
| description | We propose an algorithm that combines proper orthogonal decomposition with a spectral method to analyze and extract reduced order models 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. |
| doi_str_mv | 10.1007/s00162-013-0293-2 |
| format | article |
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| ispartof | Theoretical and computational fluid dynamics, 2013-11, Vol.27 (6), p.787-815 |
| issn | 0935-4964 1432-2250 |
| language | eng |
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| source | Springer Nature |
| subjects | Algorithms Classical and Continuum Physics Computational fluid dynamics Computational Science and Engineering Cylinders Decomposition Decomposition (Mathematics) Discretization Dynamical systems Engineering Engineering Fluid Dynamics Engineering Sciences Fluid dynamics Fluid flow Mathematical physics Original Article Reactive fluid environment Reduced order models Simulation |
| title | POD-spectral decomposition for fluid flow analysis and model reduction |
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