Numerical computations of two-dimensional solitary waves generated by moving disturbances
dc.contributor.author | Cao, Yusong | en_US |
dc.contributor.author | Beck, Robert F. | en_US |
dc.contributor.author | Schultz, William W. | en_US |
dc.date.accessioned | 2007-04-06T18:38:49Z | |
dc.date.available | 2007-04-06T18:38:49Z | |
dc.date.issued | 1993-11-30 | en_US |
dc.identifier.citation | Cao, 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.issn | 0271-2091 | en_US |
dc.identifier.issn | 1097-0363 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/50208 | |
dc.description.abstract | Two-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.extent | 803505 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.publisher | John Wiley & Sons, Ltd | en_US |
dc.subject.other | Engineering | en_US |
dc.subject.other | Engineering General | en_US |
dc.title | Numerical computations of two-dimensional solitary waves generated by moving disturbances | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Naval Architecture and Marine Engineering, The University of Michigan, Ann Arbor, MI 48109, U.S.A. | en_US |
dc.contributor.affiliationum | Department of Naval Architecture and Marine Engineering, The University of Michigan, Ann Arbor, MI 48109, U.S.A. | en_US |
dc.contributor.affiliationum | Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109, U.S.A. | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/50208/1/1650171006_ftp.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1002/fld.1650171006 | en_US |
dc.identifier.source | International Journal for Numerical Methods in Fluids | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
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.