The Taylor vortex and the driven cavity problems by the stream function-vorticity formulation

 dc.contributor.author Bermudez, B. dc.contributor.author Posadas, R. dc.date.accessioned 2015-04-24T06:48:16Z dc.date.available 2015-04-24T06:48:16Z dc.date.issued 2014 dc.description.abstract Paper presented to the 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Florida, 14-16 July 2014. en_ZA dc.description.abstract We present here the Navier-Stokes equations using the stream function-vorticity formulation. In order to solve these equations we have used a simple numerical method based on a fixed point iterative process [1] to solve a nonlinear elliptic system resulting after time discretization. For this kind of problems efficient solvers like Fishpack [2] may be used. Results are presented for two problems: the Taylor vortex problem and the driven cavity problem. We present results, for the driven cavity problem for Reynolds numbers Re=3200 and Re=7500, and for the Taylor vortex problem with the same Reynolds numbers. With respect to the driven cavity problem, results agree very well with those reported in the literature [4 - 7]. For the Taylor vortex problem [3], since the exact solution is known, the relative error was calculated and results were very good. Results are compared with those obtained for the same problems with other formulations [3 - 8]. en_ZA dc.description.librarian dc2015 en_ZA dc.format.extent 7 pages en_ZA dc.format.medium PDF en_ZA dc.identifier.citation Bermudez, B & Posadas, R 2014, 'The Taylor vortex and the driven cavity problems by the stream function-vorticity formulation', Paper presented to the 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Florida, 14-16 July 2014. en_ZA dc.identifier.isbn 97817759206873 dc.identifier.uri http://hdl.handle.net/2263/44703 dc.publisher International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics en_ZA dc.rights © 2014 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. en_ZA dc.subject Navier-Stokes equations en_ZA dc.subject Stream function-vorticity formulation en_ZA dc.subject Fishpack en_ZA dc.subject Taylor vortex problem en_ZA dc.subject Driven cavity problem en_ZA dc.title The Taylor vortex and the driven cavity problems by the stream function-vorticity formulation en_ZA dc.type Presentation en_ZA
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