A nonlinear wave shoaling model for alongshore varying Bathymetry

dc.contributor.advisorHerbers, Thomas H.C.
dc.contributor.authorRuth, David M.
dc.contributor.corporateNaval Postgraduate School (U.S.)
dc.contributor.departmentMeteorology and Physical Oceanography
dc.date.accessioned2012-03-14T17:31:49Z
dc.date.available2012-03-14T17:31:49Z
dc.date.issued2001-09
dc.description.abstractThis thesis proposes an improvement to present near-shore wave prediction models. Using weakly dispersive Boussinesq theory, the shoaling of directionally spread surface gravity waves over a beach with gentle gradients in the cross-shore and alongshore directions is examined. Following Herbers and Burton (1997), the governing fluid flow equations are expanded to third order and depth-integrated over the water column. A resulting amplitude evolution equation for a spectrum of waves is derived, which is the main result of this paper. New terms in the higher order result include effects due to alongshore bottom slope, higher order cross-shore depth variations, and non-linear quartet interactions. The linear terms in this equation are verified by analytical methods using linear finite depth theory. Example computations for a monochromatic wave train over a plane beach quantify some of the improvements of this result over the lower order model. Opportunities for further development and verification of this result are proposed, and recommendations for application of the result in its present form are outlined.en_US
dc.description.serviceUS Navy (USN) authoren_US
dc.description.urihttp://archive.org/details/anonlinearwavesh109451450
dc.format.extentxii, 49 p. ;en_US
dc.identifier.oclc640959100
dc.identifier.urihttps://hdl.handle.net/10945/1450
dc.publisherMonterey, California. Naval Postgraduate Schoolen_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.en_US
dc.subject.lcshBoussinesq Wave Modelen_US
dc.titleA nonlinear wave shoaling model for alongshore varying Bathymetryen_US
dc.typeThesisen_US
dspace.entity.typePublication
etd.thesisdegree.disciplineMeteorology and Physical Oceanographyen_US
etd.thesisdegree.grantorNaval Postgraduate Schoolen_US
etd.thesisdegree.levelMastersen_US
etd.thesisdegree.nameM.S.en_US
etd.verifiednoen_US
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