Sensitivity analysis and computational shape optimization for incompressible flows

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dc.contributor.authorBurkhardt, Johnen
dc.contributor.committeechairGunzburger, Max D.en
dc.contributor.committeememberBurns, John A.en
dc.contributor.committeememberCliff, Eugene M.en
dc.contributor.committeememberHerdman, Terry L.en
dc.contributor.committeememberPeterson, Janet S.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:13:09Zen
dc.date.adate2008-06-06en
dc.date.available2014-03-14T21:13:09Zen
dc.date.issued1995-05-08en
dc.date.rdate2008-06-06en
dc.date.sdate2008-06-06en
dc.description.abstractWe consider the optimization of a cost functional defined for a fluid flowing through a channeL Parameters control the shape of an obstruction in the flow, and the strength of the inflow. The problem is discretized using finite elements. Optimization algorithms are considered which use either finite differences or sensitivities to estimate the gradient of the cost functional. Problems of scaling, local minimization, and cost functional regularization are considered. Methods of improving the efficiency of the algorithm are proposed.en
dc.description.degreePh. D.en
dc.format.extentxv, 225 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-06062008-162228en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-06062008-162228/en
dc.identifier.urihttp://hdl.handle.net/10919/38170en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1995.B875.pdfen
dc.relation.isformatofOCLC# 32883515en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectflow obstructionsen
dc.subject.lccLD5655.V856 1995.B875en
dc.titleSensitivity analysis and computational shape optimization for incompressible flowsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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