Short wave groups in deep water

Simple item page
dc.contributor.authorBryant, P. J.
dc.date.accessioned2015-10-27T21:00:10Z
dc.date.available2015-10-27T21:00:10Z
dc.date.issued1981en
dc.description.abstractWaves on the water surface propagate typically in wave groups, each group consisting of a small number of waves. The envelopes of the wave groups change, in general, as the groups propagate. Particular envelope shapes remain constant for certain ranges of the group height to wavelength ratio 𝜀 and the group length to wavelength ratio k₀. Envelopes for groups containing a large number of waves (k₀ »1) of small amplitude (𝜀 ≪ 1) are modelled by the cubic Schrödinger equation. Short periodic groups of permanent envelope exist only for larger values of 𝜀. A numerical method is described for obtaining solutions of the nonlinear water wave equations representing periodic wave groups of permanent envelope without small 𝜀 or large k₀ assumptions. The method, which is based on the fast Fourier transform technique, has applications elsewhere in nonlinear wave problems. Examples of short wave groups of permanent envelope are presented.en
dc.identifier.urihttp://hdl.handle.net/10092/11276
dc.language.isoen
dc.publisherUniversity of Canterbury. Dept. of Mathematicsen
dc.relation.isreferencedbyNZCUen
dc.rightsCopyright Peter John Bryanten
dc.rights.urihttps://canterbury.libguides.com/rights/thesesen
dc.subject.anzsrcField of Research::01 - Mathematical Sciences::0105 - Mathematical Physicsen
dc.titleShort wave groups in deep wateren
dc.typeReports
thesis.degree.grantorUniversity of Canterburyen
thesis.degree.levelResearch Reporten
thesis.degree.nameResearch Reporten
uc.bibnumber493244en
uc.collegeFaculty of Engineeringen
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
bryant_report_no18_1981.pdf
Size:
878.28 KB
Format:
Adobe Portable Document Format
Download
Collections
Engineering: Reports