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Implicit runge-kutta methods to simulate unsteady incompressible flows

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dc.contributor.advisor Anand, N. K. en_US
dc.creator Ijaz, Muhammad en_US
dc.date.accessioned 2010-01-15T00:03:56Z en_US
dc.date.accessioned 2010-01-16T00:23:02Z
dc.date.available 2010-01-15T00:03:56Z en_US
dc.date.available 2010-01-16T00:23:02Z
dc.date.created 2007-12 en_US
dc.date.issued 2009-05-15 en_US
dc.identifier.uri http://hdl.handle.net/1969.1/ETD-TAMU-2086
dc.description.abstract A 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.medium electronic en_US
dc.format.mimetype application/pdf en_US
dc.language.iso en_US en_US
dc.subject incompressible flow en_US
dc.subject higher order en_US
dc.subject unsteady flow en_US
dc.subject transient flow en_US
dc.subject implicit runge-kutta en_US
dc.subject non-staggered en_US
dc.subject co-located en_US
dc.subject finite volume en_US
dc.subject SIMPLE DIRK en_US
dc.subject temporal discretization en_US
dc.subject accurate en_US
dc.title Implicit runge-kutta methods to simulate unsteady incompressible flows en_US
dc.type Book en
dc.type Thesis en
thesis.degree.department Mechanical Engineering en_US
thesis.degree.discipline Mechanical Engineering en_US
thesis.degree.grantor Texas A&M University en_US
thesis.degree.name Doctor of Philosophy en_US
thesis.degree.level Doctoral en_US
dc.contributor.committeeMember Chen, Hamn-Ching en_US
dc.contributor.committeeMember Lau, Sai C. en_US
dc.contributor.committeeMember Ley, Obdulia en_US
dc.type.genre Electronic Dissertation en_US
dc.type.material text en_US
dc.format.digitalOrigin born digital en_US

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