On the form of the highest progressive and standing waves in deep water
1973 ◽
Vol 331
(1587)
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pp. 445-456
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The form of a progressive gravity wave on deep water, which generally must be found by numerical integration (Michell 1893) is shown to be approximated with remarkable accuracy by a single term. Six consecutive waves are transformed conformally so as to surround the point corresponding to infinite depth. The free surface then corresponds closely to the boundary of a hexagon. In a similar way the profile of a standing wave is closely approximated to by transforming four consecutive waves conformally and taking the profile as the boundary of a square. The profile agrees closely with that calculated by Penney & Price (1952) and with the experiments of Taylor (1953).
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1994 ◽
Vol 272
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pp. 135-156
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1988 ◽
Vol 8
(8)
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pp. 119-138
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1969 ◽
Vol 1
(1)
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pp. 29-46
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1987 ◽
Vol 411
(1840)
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pp. 123-137
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