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dc.contributor.authorHay, A.
dc.contributor.authorBorggaard, Jeffrey T.
dc.contributor.authorPelletier, D.
dc.date.accessioned2014-07-21T15:49:38Z
dc.date.available2014-07-21T15:49:38Z
dc.date.issued2009-06
dc.identifier.citationHay, A.; Borggaard, J. T.; Pelletier, D., "Local improvements to reduced-order models using sensitivity analysis of the proper orthogonal decomposition," J. Fluid Mech. (2009), vol. 629, pp. 41-72. DOI: 10.1017/s0022112009006363en
dc.identifier.issn0022-1120
dc.identifier.urihttp://hdl.handle.net/10919/49634
dc.description.abstractThe proper orthogonal decomposition (POD) is the prevailing method for basis generation in the model reduction of fluids. A serious limitation of this method, however, is that it is empirical. In other words, this basis accurately represents the flow data used to generate it, but may not be accurate when applied 'off-design'. Thus, the reduced-order model may lose accuracy for flow parameters (e.g. Reynolds number, initial or boundary conditions and forcing parameters) different from those used to generate the POD basis and generally does. This paper investigates the use of sensitivity analysis in the basis selection step to partially address this limitation. We examine two strategies that use the sensitivity of the POD modes with respect to the problem parameters. Numerical experiments performed on the flow past a square cylinder over a range of Reynolds numbers demonstrate the effectiveness of these strategies. The newly derived bases allow for a more accurate representation of the flows when exploring the parameter space. Expanding the POD basis built at one state with its sensitivity leads to low-dimensional dynamical systems having attractors that approximate fairly well the attractor of the full-order Navier-Stokes equations for large parameter changes.en
dc.description.sponsorshipAir Force Office of Scientific Research (under contract FA9550-08-1-0136)
dc.description.sponsorshipNational Science Foundation (under contract DMS-0513542)
dc.description.sponsorshipNational Science and Engineering Council of Canada
dc.description.sponsorshipCanadian Research Chair Program
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherCambridge University Press
dc.subjectreynolds-number flow
dc.subjectlow-dimensional models
dc.subjectsquare cylinder
dc.subjectrectangular cylinders
dc.subjectcoherent structures
dc.subjectstability analysis
dc.subjectfluid-flow
dc.subjectcomplex
dc.subjecteigenvalues
dc.subjectdynamics
dc.subjectmechanics
dc.subjectphysics, fluids & plasmas
dc.titleLocal improvements to reduced-order models using sensitivity analysis of the proper orthogonal decompositionen
dc.typeArticle - Refereed
dc.identifier.urlhttp://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=5832200&fulltextType=RA&fileId=S0022112009006363
dc.date.accessed2014-07-15
dc.title.serialJournal of Fluid Mechanics
dc.identifier.doihttps://doi.org/10.1017/s0022112009006363
dc.type.dcmitypeText


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