The reflexion of plane gravity waves travelling in water of variable depth
- 21 December 1976
- journal article
- Published by The Royal Society in Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
- Vol. 284 (1317) , 49-89
- https://doi.org/10.1098/rsta.1976.0099
Abstract
A two dimensional, irrotational, linear theory is used to investigate the reflexion of an incident surface gravity wave travelling over a region of varying depth. The existence of a unique velocity potential is proved for general bottom profiles in two limiting cases, when the wavelength is either small compared with the depth or large compared with the transition width. The associated asymptotic results justify the approximations obtained by others using formal methods. Also, the class of bottom profiles for which numerical results can be achieved is extended.Keywords
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