dc.contributor.advisor Sarin, Vivek dc.creator Wang, Xue dc.date.accessioned 2006-04-12T16:05:59Z dc.date.available 2006-04-12T16:05:59Z dc.date.created 2004-12 dc.date.issued 2006-04-12 dc.identifier.uri http://hdl.handle.net/1969.1/3295 dc.description.abstract This 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.extent 383288 bytes en dc.format.medium electronic en dc.format.mimetype application/pdf dc.language.iso en_US dc.publisher Texas A&M University dc.subject solenoidal basis en dc.subject incompressible fluid flow en dc.subject null space en dc.subject divergence free en dc.title Preconditioned solenoidal basis method for incompressible fluid flows en dc.type Book en dc.type Thesis en thesis.degree.department Computer Science en thesis.degree.discipline Computer Science en thesis.degree.grantor Texas A&M University en thesis.degree.name Master of Science en thesis.degree.level Masters en dc.contributor.committeeMember Klappenecker, Andreas dc.contributor.committeeMember Chen, Hamn-Ching dc.type.genre Electronic Thesis en dc.type.material text en dc.format.digitalOrigin born digital en
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