Open AccessWATER WAVES ON A BILINEAR SHEAR CURRENT
Author(s) -
Robert A. Dalrymple
Publication year - 1974
Publication title -
proceedings of conference on coastal engineering/proceedings of ... conference on coastal engineering
Language(s) - English
Resource type - Journals
eISSN - 2156-1028
pISSN - 0589-087X
DOI - 10.9753/icce.v14.36
Subject(s) - physics , love wave , bilinear interpolation , mechanics , mechanical wave , gravity wave , current (fluid) , longitudinal wave , amplitude , perturbation (astronomy) , classical mechanics , shear waves , internal wave , wave propagation , shear (geology) , mathematics , optics , geology , quantum mechanics , petrology , statistics , thermodynamics
A water wave theory is presented to describe waves propagating on a bilinear shear current flowing in the direction of the waves. The theory is derived assuming an ideal fluid in which a current exists, having a vertical velocity profile which varies linearly from a mean water level velocity of Ug, an interfacial velocity Uj at depth, d, and a bottom velocity Uj$. The theory is developed first for small amplitude waves and then extended to any arbitrary order by a numerical perturbation technique for symmetric waves. For measured waves, an irregular form of the theory is presented to provide a representation of these waves for analysis.