Numerical computation of steep gravity waves in shallow water
- 1 October 1979
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 22 (10), 1868-1871
- https://doi.org/10.1063/1.862492
Abstract
An efficient numerical scheme to compute steep gravity waves in water of shallow uniform depth is described. The problem is formulated as a system of integrodifferential equations for the free surface. A numerical procedure based on Newton’s iterations is devised to solve these equations. Solutions of high accuracy for depth as small as 1/120 of a wavelength are presented. Numerical confirmation is obtained for the existence of maxima of the potential and kinetic energies of the waves as functions of the steepness.Keywords
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