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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Vydáno v:Journal of fluid mechanics Ročník 656; číslo August; s. 5 - 28
Hlavní autor: SCHMID, PETER J.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cambridge, UK Cambridge University Press 10.08.2010
Cambridge University Press (CUP)
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ISSN:0022-1120, 1469-7645
On-line přístup:Získat plný text
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Abstract 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.
AbstractList 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. © 2010 Cambridge University Press.
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.
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. [PUBLICATION ABSTRACT]
Author SCHMID, PETER J.
Author_xml – sequence: 1
  givenname: PETER J.
  surname: SCHMID
  fullname: SCHMID, PETER J.
  email: peter@ladhyx.polytechnique.fr
  organization: Laboratoire d'Hydrodynamique (LadHyX), CNRS-École Polytechnique, 91128 Palaiseau, France
BackLink http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=23071745$$DView record in Pascal Francis
https://polytechnique.hal.science/hal-01020654$$DView record in HAL
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CODEN JFLSA7
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2015 INIST-CNRS
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Keywords Computational fluid dynamics
Orthogonal function
Digital simulation
Eigenfunctions
Coherent structures
Data processing
Flow pattern
Modelling
Domain decomposition
Dynamical systems
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Snippet 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...
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SubjectTerms 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
Title Dynamic mode decomposition of numerical and experimental data
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