Shape Sensitivity Analysis in Flow Models Using a Finite-Difference Approach

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dc.contributor.authorAkhtar, Imranen
dc.contributor.authorBorggaard, Jeffrey T.en
dc.contributor.authorHay, Alexanderen
dc.date.accessed2014-06-11en
dc.date.accessioned2014-06-12T13:28:57Zen
dc.date.available2014-06-12T13:28:57Zen
dc.date.issued2010en
dc.description.abstractReduced-order models have a number of practical engineering applications for unsteady flows that require either low-dimensional approximations for analysis and control or repeated simulation over a range of parameter values. The standard method for building reduced-order models uses the proper orthogonal decomposition (POD) and Galerkin projection. However, this standard method may be inaccurate when used "off-design" (at parameter values not used to generate the POD). This phenomena is exaggerated when parameter values describe the shape of the flow domain since slight changes in shape can have a significant influence on the flow field. In this paper, we investigate the use of POD sensitivity vectors to improve the accuracy and dynamical system properties of the reduced-order models to problems with shape parameters. To carry out this study, we consider flows past an elliptic cylinder with varying thickness ratios. Shape sensitivities (derivatives of flow variables with respect to thickness ratio) computed by finite difference approximations are used to compute the POD sensitivity vectors. Numerical studies test the accuracy of the new bases to represent flow solutions over a range of parameter values.en
dc.description.sponsorshipAir Force Office of Scientific Research FA9550-08-1-0136en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationImran Akhtar, Jeff Borggaard, and Alexander Hay, "Shape Sensitivity Analysis in Flow Models Using a Finite-Difference Approach," Mathematical Problems in Engineering, vol. 2010, Article ID 209780, 22 pages, 2010. doi:10.1155/2010/209780en
dc.identifier.doihttps://doi.org/10.1155/2010/209780en
dc.identifier.issn1024-123Xen
dc.identifier.urihttp://hdl.handle.net/10919/48916en
dc.identifier.urlhttp://www.hindawi.com/journals/mpe/2010/209780/cta/en
dc.language.isoenen
dc.publisherHindawi Publishing Corporationen
dc.rightsCreative Commons Attribution 3.0 Unporteden
dc.rights.holderCopyright © 2010 Imran Akhtar et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.en
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/en
dc.subjectproper-orthogonal-decompositionen
dc.subjectlow-dimensional modelsen
dc.subjectcylinder wakeen
dc.subjectseparated flowen
dc.subjectorder modelsen
dc.subjectbluff bodiesen
dc.subjectpod modelsen
dc.subjectdynamicsen
dc.subjectrepresentationen
dc.subjectvibrationsen
dc.subjectengineering, multidisciplinaryen
dc.subjectmathematics, interdisciplinaryen
dc.subjectapplicationsen
dc.titleShape Sensitivity Analysis in Flow Models Using a Finite-Difference Approachen
dc.title.serialMathematical Problems in Engineeringen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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