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On the quadratic effect of random gravity waves on a vertical boundary

Published online by Cambridge University Press:  26 April 2006

P. D. Sclavounos
P. D. Sclavounos
Affiliation:
Department of Ocean Engineering, MIT, Cambridge MA 02139. USA
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Abstract

The quadratic effect of random gravity waves in the vicinity of a reflecting boundary is studied. It is shown that in a stochastic wave environment, surface wave effects proportional to the square of the wave amplitude depend upon the third-order free-surface perturbation. Expressions are derived for the quadratic frequency spectrum of the hydrodynamic pressure in the fluid domain in unidirectional and standing waves reflected off a vertical wall. Computations of the spectrum reveal the importance of the effect contributed by the third-order solution, which is found to be at least of comparable magnitude to the corresponding effect obtained from the solution of the second-order problem.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 242 , September 1992 , pp. 475 - 489
Copyright
© 1992 Cambridge University Press

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