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Local improvements to reduced-order models using sensitivity analysis of the proper orthogonal decomposition

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dc.contributor.authorHay, Alexanderen
dc.contributor.authorBorggaard, Jeffrey T.en
dc.contributor.authorPelletier, Dominiqueen
dc.date.accessed2014-07-15en
dc.date.accessioned2014-07-21T15:49:38Zen
dc.date.available2014-07-21T15:49:38Zen
dc.date.issued2009-06en
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)en
dc.description.sponsorshipNational Science Foundation (under contract DMS-0513542)en
dc.description.sponsorshipNational Science and Engineering Council of Canadaen
dc.description.sponsorshipCanadian Research Chair Programen
dc.format.mimetypeapplication/pdfen
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.doihttps://doi.org/10.1017/s0022112009006363en
dc.identifier.issn0022-1120en
dc.identifier.urihttp://hdl.handle.net/10919/49634en
dc.identifier.urlhttp://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=5832200&fulltextType=RA&fileId=S0022112009006363en
dc.language.isoen_USen
dc.publisherCambridge University Pressen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectreynolds-number flowen
dc.subjectlow-dimensional modelsen
dc.subjectsquare cylinderen
dc.subjectrectangular cylindersen
dc.subjectcoherent structuresen
dc.subjectstability analysisen
dc.subjectfluid-flowen
dc.subjectcomplexen
dc.subjecteigenvaluesen
dc.subjectdynamicsen
dc.subjectmechanicsen
dc.subjectphysics, fluids & plasmasen
dc.titleLocal improvements to reduced-order models using sensitivity analysis of the proper orthogonal decompositionen
dc.title.serialJournal of Fluid Mechanicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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