Preconditioned solenoidal basis method for incompressible fluid flows
dc.contributor | Sarin, Vivek | |
dc.creator | Wang, Xue | |
dc.date.accessioned | 2006-04-12T16:05:59Z | |
dc.date.accessioned | 2017-04-07T19:51:18Z | |
dc.date.available | 2006-04-12T16:05:59Z | |
dc.date.available | 2017-04-07T19:51:18Z | |
dc.date.created | 2004-12 | |
dc.date.issued | 2006-04-12 | |
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. | |
dc.identifier.uri | http://hdl.handle.net/1969.1/3295 | |
dc.language.iso | en_US | |
dc.publisher | Texas A&M University | |
dc.subject | solenoidal basis | |
dc.subject | incompressible fluid flow | |
dc.subject | null space | |
dc.subject | divergence free | |
dc.title | Preconditioned solenoidal basis method for incompressible fluid flows | |
dc.type | Book | |
dc.type | Thesis |