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dc.contributor.advisorAnand, N. K.
dc.creatorIjaz, Muhammad
dc.date.accessioned2010-01-15T00:03:56Z
dc.date.accessioned2010-01-16T00:23:02Z
dc.date.available2010-01-15T00:03:56Z
dc.date.available2010-01-16T00:23:02Z
dc.date.created2007-12
dc.date.issued2009-05-15
dc.identifier.urihttp://hdl.handle.net/1969.1/ETD-TAMU-2086
dc.description.abstractA numerical method (SIMPLE DIRK Method) for unsteady incompressible viscous flow simulation is presented. The proposed method can be used to achieve arbitrarily high order of accuracy in time-discretization which is otherwise limited to second order in majority of the currently used simulation techniques. A special class of implicit Runge-Kutta methods is used for time discretization in conjunction with finite volume based SIMPLE algorithm. The algorithm was tested by solving for velocity field in a lid-driven square cavity. In the test case calculations, power law scheme was used in spatial discretization and time discretization was performed using a second-order implicit Runge-Kutta method. Time evolution of velocity profile along the cavity centerline was obtained from the proposed method and compared with that obtained from a commercial computational fluid dynamics software program, FLUENT 6.2.16. Also, steady state solution from the present method was compared with the numerical solution of Ghia, Ghia, and Shin and that of Erturk, Corke, and Goökçöl. Good agreement of the solution of the proposed method with the solutions of FLUENT; Ghia, Ghia, and Shin; and Erturk, Corke, and Goökçöl establishes the feasibility of the proposed method.en
dc.format.mediumelectronicen
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.relation.urihttp://hdl.handle.net/1969.1/85850
dc.subjectincompressible flowen
dc.subjecthigher orderen
dc.subjectunsteady flowen
dc.subjecttransient flowen
dc.subjectimplicit runge-kuttaen
dc.subjectnon-staggereden
dc.subjectco-locateden
dc.subjectfinite volumeen
dc.subjectSIMPLE DIRKen
dc.subjecttemporal discretizationen
dc.subjectaccurateen
dc.titleImplicit Runge-Kutta Methods to Simulate Unsteady Incompressible Flowsen
dc.typeBooken
dc.typeThesisen
thesis.degree.departmentMechanical Engineeringen
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.grantorTexas A&M Universityen
thesis.degree.nameDoctor of Philosophyen
thesis.degree.levelDoctoralen
dc.contributor.committeeMemberChen, Hamn-Ching
dc.contributor.committeeMemberLau, Sai C.
dc.contributor.committeeMemberLey, Obdulia
dc.type.genreElectronic Dissertationen
dc.type.materialtexten
dc.format.digitalOriginborn digitalen


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