On the excitation of edge waves on beaches
- 20 January 1977
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 79 (2) , 273-287
- https://doi.org/10.1017/s0022112077000159
Abstract
The excitation of standing edge waves of frequency ½ω by a normally incident wave train of frequency ω has been discussed previously (Guza & Davis 1974; Guza & Inman 1975; Guza & Bowen 1976) on the basis of shallow-water theory. Here the problem is formulated in the full water-wave theory without making the shallow-water approximation and solved for beach angles β = π/2N, where N is an integer. The work confirms the shallow-water results in the limit N [Gt ] 1, shows the effect of larger beach angles and allows a more complete discussion of some aspects of the problem.Keywords
This publication has 7 references indexed in Scilit:
- Nonlinear effects in edge wavesJournal of Fluid Mechanics, 1976
- Nonlinear edge waves and shallow-water theoryJournal of Fluid Mechanics, 1976
- The resonant instabilities of long waves obliquely incident on a beachJournal of Geophysical Research, 1975
- Edge waves and beach cuspsJournal of Geophysical Research, 1975
- Excitation of edge waves by waves incident on a beachJournal of Geophysical Research, 1974
- Waves on a shallow sloping beachCommunications on Pure and Applied Mathematics, 1948
- The theory of ship wavesProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1926