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dc.contributor.advisorSarin, Vivek
dc.creatorWang, Xue
dc.date.accessioned2006-04-12T16:05:59Z
dc.date.available2006-04-12T16:05:59Z
dc.date.created2004-12
dc.date.issued2006-04-12
dc.identifier.urihttp://hdl.handle.net/1969.1/3295
dc.description.abstractThis thesis presents a preconditioned solenoidal basis method to solve the algebraic system arising from the linearization and discretization of primitive variable formulations of Navier-Stokes equations for incompressible fluid flows. The system is restricted to a discrete divergence-free space which is constructed from the incompressibility constraint. This research work extends an earlier work on the solenoidal basis method for two-dimensional flows and three-dimensional flows that involved the construction of the solenoidal basis P using circulating flows or vortices on a uniform mesh. A localized algebraic scheme for constructing P is detailed using mixed finite elements on an unstructured mesh. A preconditioner which is motivated by the analysis of the reduced system is also presented. Benchmark simulations are conducted to analyze the performance of the proposed approach.en
dc.format.extent383288 bytesen
dc.format.mediumelectronicen
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherTexas A&M University
dc.subjectsolenoidal basisen
dc.subjectincompressible fluid flowen
dc.subjectnull spaceen
dc.subjectdivergence freeen
dc.titlePreconditioned solenoidal basis method for incompressible fluid flowsen
dc.typeBooken
dc.typeThesisen
thesis.degree.departmentComputer Scienceen
thesis.degree.disciplineComputer Scienceen
thesis.degree.grantorTexas A&M Universityen
thesis.degree.nameMaster of Scienceen
thesis.degree.levelMastersen
dc.contributor.committeeMemberKlappenecker, Andreas
dc.contributor.committeeMemberChen, Hamn-Ching
dc.type.genreElectronic Thesisen
dc.type.materialtexten
dc.format.digitalOriginborn digitalen


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