Kelvin-wave diffraction by a gap
- 1 February 1974
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 17 (1) , 29-34
- https://doi.org/10.1017/s1446788700015925
Abstract
The problem of diffraction of a Kelvin wave by a narrow opening in a barrier separating two semi-infinite sheets of water is formulated as an integral equation. An approximate solution is obtained on the hypothesis that the gap is small compared with the length of the incident wave. The scattered disturbance comprises both Kelvin and Poincaré waves, and asymptotic formulate for their amplitudes are obtained. The results, which are relevant to tidal diffraction by a strait, reveal that the phase shift in the diffracted Kelvin wave is much larger than the corresponding shift induced by either a narrow channel or an inland sea opening into a semi-infinite ocean.Keywords
This publication has 6 references indexed in Scilit:
- A note on tidal delay by inland seas and harborsGeophysical Fluid Dynamics, 1972
- The diffraction of tides by a narrow channelJournal of Fluid Mechanics, 1971
- Tides off‐shore: Transition from California coastal to deep‐sea waters‡Geophysical Fluid Dynamics, 1970
- Diffraction of Kelvin waves at a sharp bendJournal of Fluid Mechanics, 1968
- The diffraction of Kelvin waves at a cornerJournal of Fluid Mechanics, 1968
- Long waves on a rotating earth in the presence of a semi-infinite barrierJournal of Fluid Mechanics, 1956