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Singular finite elements for the sudden-expansion and the die-swell problems

dc.contributor.authorGeorgiou, Georgios C.en_US
dc.contributor.authorSchultz, William W.en_US
dc.contributor.authorOlson, Lorraine Gailen_US
dc.date.accessioned2007-04-06T18:38:09Z
dc.date.available2007-04-06T18:38:09Z
dc.date.issued1990-03en_US
dc.identifier.citationGeorgiou, Georgios C.; Schultz, William W.; Olson, Lorraine G. (1990)."Singular finite elements for the sudden-expansion and the die-swell problems." International Journal for Numerical Methods in Fluids 10(4): 357-372. <http://hdl.handle.net/2027.42/50202>en_US
dc.identifier.issn0271-2091en_US
dc.identifier.issn1097-0363en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/50202
dc.description.abstractThe singular finite element method is used to solve the sudden-expansion and the die-swell problems in order to improve the accuracy of the solution in the vicinity of the singularity and to speed up the convergence. The method requires minor modifications to standard finite element schemes, and even coarse meshes give more accurate results than refined ordinary finite element meshes. Improved normal stress results for the sudden-expansion problem have been obtained for various Reynolds numbers up to 100 using the singular elements constructed for the creeping flow problem. In addition, the normal stresses at the walls appear to be insensitive to the singularity powers used in the construction of the singular basis functions. The die-swell problem is solved using the singular elements constructed for the stick–slip problem. The singular elements accelerate the convergence of the free surface dramatically.en_US
dc.format.extent816450 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.publisherJohn Wiley & Sons, Ltden_US
dc.subject.otherEngineeringen_US
dc.subject.otherEngineering Generalen_US
dc.titleSingular finite elements for the sudden-expansion and the die-swell problemsen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Chemical Engineering, The University of Michigan, H. H. Dow Building, Ann Arbor, MI 48109, U.S.A.en_US
dc.contributor.affiliationumDepartment of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, Ml 48109, U.S.A.en_US
dc.contributor.affiliationumDepartment of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, Ml 48109, U.S.A.en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/50202/1/1650100402_ftp.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1002/fld.1650100402en_US
dc.identifier.sourceInternational Journal for Numerical Methods in Fluidsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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