Show simple item record

Numerical computations of two-dimensional solitary waves generated by moving disturbances

dc.contributor.authorCao, Yusongen_US
dc.contributor.authorBeck, Robert F.en_US
dc.contributor.authorSchultz, William W.en_US
dc.date.accessioned2007-04-06T18:38:49Z
dc.date.available2007-04-06T18:38:49Z
dc.date.issued1993-11-30en_US
dc.identifier.citationCao, Yusong; Beck, Robert F.; Schultz, William W. (1993)."Numerical computations of two-dimensional solitary waves generated by moving disturbances." International Journal for Numerical Methods in Fluids 17(10): 905-920. <http://hdl.handle.net/2027.42/50208>en_US
dc.identifier.issn0271-2091en_US
dc.identifier.issn1097-0363en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/50208
dc.description.abstractTwo-dimensional solitary waves generated by disturbances moving near the critical speed in shallow water are computed by a time-stepping procedure combined with a desingularized boundary integral method for irrotational flow. The fully non-linear kinematic and dynamic free-surface boundary conditions and the exact rigid body surface condition are employed. Three types of moving disturbances are considered: a pressure on the free surface, a change in bottom topography and a submerged cylinder. The results for the free surface pressure are compared to the results computed using a lower-dimensional model, i.e. the forced Korteweg–de Vries (fKdV) equation. The fully non-linear model predicts the upstream runaway solitons for all three types of disturbances moving near the critical speed. The predictions agree with those by the fKdV equation for a weak pressure disturbance. For a strong disturbance, the fully non-linear model predicts larger solitons than the fKdV equation. The fully non-linear calculations show that a free surface pressure generates significantly larger waves than that for a bottom bump with an identical non-dimensional forcing function in the fKdV equation. These waves can be very steep and break either upstream or downstream of the disturbance.en_US
dc.format.extent803505 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.titleNumerical computations of two-dimensional solitary waves generated by moving disturbancesen_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 Naval Architecture and Marine Engineering, The University of Michigan, Ann Arbor, MI 48109, U.S.A.en_US
dc.contributor.affiliationumDepartment of Naval Architecture and Marine Engineering, The University of Michigan, Ann Arbor, MI 48109, U.S.A.en_US
dc.contributor.affiliationumDepartment of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109, U.S.A.en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/50208/1/1650171006_ftp.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1002/fld.1650171006en_US
dc.identifier.sourceInternational Journal for Numerical Methods in Fluidsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


Files in this item

Show simple item record

Remediation of Harmful Language

The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.

Accessibility

If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.