An Improvement to Stokes Nonlinear Theory for Steady Waves
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Volume 124, Issue 1
Abstract
An improvement to Stokes nonlinear theory for steady water waves is presented. The method is based on the solution of the kinematic and the dynamic free-surface boundary conditions. The expression of the stream function is taken from the Stokes V theory. The numerical method is a very simple iterative procedure. The method is valid at any depth greater than U=HL2/d3= 40, where U is the Ursell number, L is the wavelength, d is the mean depth, and H is the wave height. The error in the free-surface boundary conditions is relatively small. The proposed solution is validated against Stokes V theory, a stream function theory, and experimental data as far as the surface elevation and horizontal velocity distribution are concerned. For high waves, near breaking limit, the method gives better results in comparison with Stokes V theory.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 124 • Issue 1 • January 1998
Pages: 36 - 39
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Jan 1, 1998
Published in print: Jan 1998
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