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dc.contributor.authorRubio, Dianaen
dc.date.accessioned2014-03-14T20:21:25Zen
dc.date.available2014-03-14T20:21:25Zen
dc.date.issued1997-04-21en
dc.identifier.otheretd-1938102939721181en
dc.identifier.urihttp://hdl.handle.net/10919/30330en
dc.description.abstractWe consider the problem of controlling a thermal convection flow by feedback. The system is governed by the Boussinesq approximation of the coupled set of Navier-Stokes and heat equations. The control is applied through Dirichlet boundary conditions. We concentrate on a two-dimensional mode and use a semidiscrete Galerkin scheme for numerical computations. We construct both a linear control and a non-linear quadratic control and apply them to the full non-linear model. First, we test these controllers on a one-mode approximation. The convergence of the numerical scheme is analyzed. We also consider LQR control for a two-dimensional heat equation.en
dc.publisherVirginia Techen
dc.relation.haspartetd.pdfen
dc.relation.haspartrubioetd.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectsemigroupsen
dc.subjectdynamical systemsen
dc.subjectboundary controlen
dc.subjectboussinesq approximationen
dc.titleDistributed Parameter Control of Thermal Fluidsen
dc.typeDissertationen
dc.contributor.departmentMathematicsen
dc.description.degreePh. D.en
thesis.degree.namePh. D.en
thesis.degree.leveldoctoralen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.disciplineMathematicsen
dc.contributor.committeechairBurns, John A.en
dc.contributor.committeememberHerdman, Terry L.en
dc.contributor.committeememberBorggaard, Jeffrey T.en
dc.contributor.committeememberLin, Taoen
dc.contributor.committeememberCliff, Eugene M.en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-1938102939721181/en
dc.date.sdate1998-07-21en
dc.date.rdate1997-04-21en
dc.date.adate1997-04-21en


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