Numerical computation of steep gravity waves in shallow water
作者:
J.‐M. Vanden‐Broeck,
L. W. Schwartz,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1979)
卷期:
Volume 22,
issue 10
页码: 1868-1871
ISSN:0031-9171
年代: 1979
DOI:10.1063/1.862492
出版商: AIP
数据来源: AIP
摘要:
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.
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