Adaptive finite element simulation of incompressible viscous flow

dc.contributor.authorFithen, Robert Milleren
dc.contributor.committeechairReddy, Junuthula N.en
dc.contributor.committeechairGrossman, Bernard M.en
dc.contributor.committeememberRagab, Saad A.en
dc.contributor.committeememberCramer, Mark S.en
dc.contributor.committeememberHenneke, Edmund G. IIen
dc.contributor.departmentEngineering Mechanicsen
dc.date.accessioned2014-03-14T21:14:16Zen
dc.date.adate2008-06-06en
dc.date.available2014-03-14T21:14:16Zen
dc.date.issued1993-08-05en
dc.date.rdate2008-06-06en
dc.date.sdate2008-06-06en
dc.description.abstractA finite element method is employed for solving two- and three-dimensional incompressible flows. The formulation is based on a segregated solution method. In this segregated formulation, the velocities and pressures are uncoupled and the equations for each are solved one after the other. This segregated solution method is numerically compared to the penalty method and to previous reported data to determine its validity. Next an iterative solution method which employs an element by - element data structure of the finite element method is developed. Two types of iterative methods are used. For a symmetric stiffness matrix, the conjugate gradient method is used. For an unsymmetric stiffness matrix, the bi-conjugate gradient method is used. Both iterative solution methods make use of a diagonal preconditioning method (Jacobi preconditioning). Several problems are solved using this segregated method. In two-dimensions, flow over a backward facing step and flow in a cavity are investigated. In three-dimensions, the problems include flow in a cavity at Reynolds number 100 and 1000, and flow in a curved duct. The simulation compares very well with previously reported data, where available.en
dc.description.degreePh. D.en
dc.format.extentxiv, 148 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-06062008-170423en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-06062008-170423/en
dc.identifier.urihttp://hdl.handle.net/10919/38408en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1993.F573.pdfen
dc.relation.isformatofOCLC# 29179612en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1993.F573en
dc.subject.lcshFinite element method -- Simulation methodsen
dc.subject.lcshViscous flow -- Simulation methodsen
dc.titleAdaptive finite element simulation of incompressible viscous flowen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineEngineering Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en
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