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dc.contributor.advisorAnand, N. K.en_US
dc.creatorIjaz, Muhammaden_US
dc.date.accessioned2010-01-15T00:03:56Zen_US
dc.date.accessioned2010-01-16T00:23:02Z
dc.date.available2010-01-15T00:03:56Zen_US
dc.date.available2010-01-16T00:23:02Z
dc.date.created2007-12en_US
dc.date.issued2009-05-15en_US
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_US
dc.format.mediumelectronicen_US
dc.format.mimetypeapplication/pdfen_US
dc.language.isoen_USen_US
dc.relation.urihttp://hdl.handle.net/1969.1/85850
dc.subjectincompressible flowen_US
dc.subjecthigher orderen_US
dc.subjectunsteady flowen_US
dc.subjecttransient flowen_US
dc.subjectimplicit runge-kuttaen_US
dc.subjectnon-staggereden_US
dc.subjectco-locateden_US
dc.subjectfinite volumeen_US
dc.subjectSIMPLE DIRKen_US
dc.subjecttemporal discretizationen_US
dc.subjectaccurateen_US
dc.titleImplicit Runge-Kutta Methods to Simulate Unsteady Incompressible Flowsen_US
dc.typeBooken
dc.typeThesisen
thesis.degree.departmentMechanical Engineeringen_US
thesis.degree.disciplineMechanical Engineeringen_US
thesis.degree.grantorTexas A&M Universityen_US
thesis.degree.nameDoctor of Philosophyen_US
thesis.degree.levelDoctoralen_US
dc.contributor.committeeMemberChen, Hamn-Chingen_US
dc.contributor.committeeMemberLau, Sai C.en_US
dc.contributor.committeeMemberLey, Obduliaen_US
dc.type.genreElectronic Dissertationen_US
dc.type.materialtexten_US
dc.format.digitalOriginborn digitalen_US


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