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Maintaining the stability of a leapfrog scheme in the presence of source terms

dc.contributor.authorKim, Cheolwanen_US
dc.date.accessioned2006-04-19T13:52:00Z
dc.date.available2006-04-19T13:52:00Z
dc.date.issued2003-07-20en_US
dc.identifier.citationKim, Cheolwan (2003)."Maintaining the stability of a leapfrog scheme in the presence of source terms." International Journal for Numerical Methods in Fluids 42(8): 839-852. <http://hdl.handle.net/2027.42/34813>en_US
dc.identifier.issn0271-2091en_US
dc.identifier.issn1097-0363en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/34813
dc.description.abstractThe instability encountered by applying the upwind leapfrog method to the advection equation having a source term is resolved. The source term is eliminated by transforming the governing equation. Two types of transformation are examined and the method of the space transformation leads to a stable and accurate scheme for the one-dimensional advection equation. The method is also extended to the two-dimensional acoustic equations in polar co-ordinates. Copyright © 2003 John Wiley & Sons, Ltd.en_US
dc.format.extent189587 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherJohn Wiley & Sons, Ltd.en_US
dc.subject.otherEngineeringen_US
dc.subject.otherNumerical Methods and Modelingen_US
dc.titleMaintaining the stability of a leapfrog scheme in the presence of source termsen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumW.M. Keck Foundation Lab for Computational Fluid Dynamics, Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109-2140, U.S.A. ; 4433 Hillside Court, Ann Arbor, MI 48105, U.S.A.en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/34813/1/549_ftp.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1002/fld.549en_US
dc.identifier.sourceInternational Journal for Numerical Methods in Fluidsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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