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Developments of stream-function wave theory

Developments of stream-function wave theory
Developments of stream-function wave theory
Recent work on the problem of the periodic wave of permanent form has revealed some unexpected characteristics which are not predicted by any of the wave theories in engineering use. Of these, the stream-function wave theory is the most accurate, and it is shown in this paper by means of a reformulated method of application to be capable of predicting correctly the behaviour of steep and near-breaking waves. Errors in stream-function wave-theory tables are assessed and found to be particularly significant for very steep waves, when crest particle velocities are under-estimated by 25% or more. As a development of the modified method of application, an approximate stream-function wave theory is presented. It permits a solution to be obtained for given wave conditions in any depth of water but requires much more modest computer resources than the full stream-function theory.

0378-3839
179-205
Chaplin, John R.
d5ed2ba9-df16-4a19-ab9d-32da7883309f
Chaplin, John R.
d5ed2ba9-df16-4a19-ab9d-32da7883309f

Chaplin, John R. (1980) Developments of stream-function wave theory. Coastal Engineering, 3 (1979-1980), 179-205. (doi:10.1016/0378-3839(79)90020-6).

Record type: Article

Abstract

Recent work on the problem of the periodic wave of permanent form has revealed some unexpected characteristics which are not predicted by any of the wave theories in engineering use. Of these, the stream-function wave theory is the most accurate, and it is shown in this paper by means of a reformulated method of application to be capable of predicting correctly the behaviour of steep and near-breaking waves. Errors in stream-function wave-theory tables are assessed and found to be particularly significant for very steep waves, when crest particle velocities are under-estimated by 25% or more. As a development of the modified method of application, an approximate stream-function wave theory is presented. It permits a solution to be obtained for given wave conditions in any depth of water but requires much more modest computer resources than the full stream-function theory.

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Published date: 1980

Identifiers

Local EPrints ID: 74047
URI: http://eprints.soton.ac.uk/id/eprint/74047
ISSN: 0378-3839
PURE UUID: 1f7557e0-016b-4239-acb7-98e99a3a3bb2
ORCID for John R. Chaplin: ORCID iD orcid.org/0000-0003-2814-747X

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Date deposited: 11 Mar 2010
Last modified: 14 Mar 2024 02:44

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