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Complete Second-Order Solution for Water Waves Generated in Wave Flumes

✍ Scribed by W. Sulisz; R.T. Hudspeth

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
442 KB
Volume
7
Category
Article
ISSN
0889-9746

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✦ Synopsis

An eigenfunction expansion complete to second-order is presented for the twodimensional wave motion forced by a sinusoidally moving generic wavemaker. A time-dependent second-order evanescent interaction potential and time-independent potential required to satisfy boundary conditions exactly are examined in detail. The amplitude of the second-order free wave computed by including the evanescent interaction potential compare favorably with previously published values based on a complete Lagrangian solution. The theoretical results for the amplitude of the second-order free wave are in reasonable agreement with experimental data.

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