Dynamic mode decomposition of numerical and experimental data

The description of coherent features of fluid flow is essential to our understanding of fluid-dynamical and transport processes. A method is introduced that is able to extract dynamic information from flow fields that are either generated by a (direct) numerical simulation or visualized/measured in...

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Bibliographic Details
Published in:Journal of fluid mechanics Vol. 656; no. August; pp. 5 - 28
Main Author: SCHMID, PETER J.
Format: Journal Article
Language:English
Published: Cambridge, UK Cambridge University Press 10.08.2010
Cambridge University Press (CUP)
Subjects:
Channel flow
Computational fluid dynamics
Computational methods in fluid dynamics
Dynamical systems
Dynamics
Engineering Sciences
Exact sciences and technology
Fluid dynamics
Fluid flow
Fluid mechanics
Fluids mechanics
Fundamental areas of phenomenology (including applications)
Instability
Mathematical models
Mechanics
Physics
Stability
Transport processes
Computational fluid dynamics
Orthogonal function
Digital simulation
Eigenfunctions
Coherent structures
Data processing
Flow pattern
Modelling
Domain decomposition
Dynamical systems
ISSN:0022-1120, 1469-7645
Online Access:Get full text
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Summary:The description of coherent features of fluid flow is essential to our understanding of fluid-dynamical and transport processes. A method is introduced that is able to extract dynamic information from flow fields that are either generated by a (direct) numerical simulation or visualized/measured in a physical experiment. The extracted dynamic modes, which can be interpreted as a generalization of global stability modes, can be used to describe the underlying physical mechanisms captured in the data sequence or to project large-scale problems onto a dynamical system of significantly fewer degrees of freedom. The concentration on subdomains of the flow field where relevant dynamics is expected allows the dissection of a complex flow into regions of localized instability phenomena and further illustrates the flexibility of the method, as does the description of the dynamics within a spatial framework. Demonstrations of the method are presented consisting of a plane channel flow, flow over a two-dimensional cavity, wake flow behind a flexible membrane and a jet passing between two cylinders.
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PII:S0022112010001217
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ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112010001217