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Chebyshev pseudospectral method of viscous flows with corner singularities
dc.contributor.authorSchultz, William W.en_US
dc.contributor.authorLee, N. Y.en_US
dc.contributor.authorBoyd, John P.en_US
dc.date.accessioned2006-09-11T15:31:42Z
dc.date.available2006-09-11T15:31:42Z
dc.date.issued1989-03en_US
dc.identifier.citationSchultz, W. W.; Lee, N. Y.; Boyd, J. P.; (1989). "Chebyshev pseudospectral method of viscous flows with corner singularities." Journal of Scientific Computing 4(1): 1-24. <http://hdl.handle.net/2027.42/44983>en_US
dc.identifier.issn1573-7691en_US
dc.identifier.issn0885-7474en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/44983
dc.description.abstractChebyshev pseudospectral solutions of the biharmonic equation governing two-dimensional Stokes flow within a driven cavity converge poorly in the presence of corner singularities. Subtracting the strongest corner singularity greatly improves the rate of convergence. Compared to the usual stream function/ vorticity formulation, the single fourth-order equation for stream function used here has half the number of coefficients for equivalent spatial resolution and uses a simpler treatment of the boundary conditions. We extend these techniques to small and moderate Reynolds numbers.en_US
dc.format.extent1003916 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Mediaen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherNavier-Stokes Equationsen_US
dc.subject.otherComputational Mathematics and Numerical Analysisen_US
dc.subject.otherMathematicsen_US
dc.subject.otherAlgorithmsen_US
dc.subject.otherAppl.Mathematics/Computational Methods of Engineeringen_US
dc.subject.otherCorner Singularitiesen_US
dc.subject.otherPseudospectral Methodsen_US
dc.titleChebyshev pseudospectral method of viscous flows with corner singularitiesen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelScience (General)en_US
dc.subject.hlbsecondlevelEducationen_US
dc.subject.hlbtoplevelScienceen_US
dc.subject.hlbtoplevelSocial Sciencesen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Atmospheric, Oceanic, and Space Science, and Laboratory for Scientific Computation, University of Michigan, 48109, Ann Arbor, Michiganen_US
dc.contributor.affiliationumDepartment of Mechanical Engineering and Applied Mechanics, University of Michigan, 48109, Ann Arbor, Michiganen_US
dc.contributor.affiliationumDepartment of Mechanical Engineering and Applied Mechanics, University of Michigan, 48109, Ann Arbor, Michigan; Korea Institute of Energy and Resources, Taejon, Koreaen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/44983/1/10915_2005_Article_BF01061264.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF01061264en_US
dc.identifier.sourceJournal of Scientific Computingen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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