Dynamic mode decomposition of numerical and experimental data

Peter Schmid 1, *
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. © 2010 Cambridge University Press.
Complete list of metadatas

Cited literature [28 references]  Display  Hide  Download

https://hal-polytechnique.archives-ouvertes.fr/hal-01020654
Contributor : Denis Roura <>
Submitted on : Wednesday, July 9, 2014 - 10:17:41 AM
Last modification on : Wednesday, March 27, 2019 - 4:39:25 PM
Long-term archiving on : Thursday, October 9, 2014 - 10:40:44 AM

File

DMS0022112010001217a.pdf
Publisher files allowed on an open archive

Identifiers

Collections

Citation

Peter Schmid. Dynamic mode decomposition of numerical and experimental data. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2010, 656 (August), pp.5-28. ⟨10.1017/s0022112010001217⟩. ⟨hal-01020654⟩

Share

Metrics

Record views

546

Files downloads

10056