Shoaling of Cnoidal Waves

10 July 1972

proceedings article
Published by American Society of Civil Engineers (ASCE)

https://doi.org/10.1061/9780872620490.021

Abstract

An equation is derived which governs the propagation of a cnoidal wave train over a gently sloping bottom. The equation is solved numerically, the solution being tabulated in terms of f_H (Eq. 47) as a function of E₁ = (E_tr/ρg)^1/3/gT² and h₁ = h/gT². Results are compared with sinusoidal wave theory. Two numerical examples are included.

Keywords

CNOIDAL WAVE
EQUATION
FUNCTION
SUP
WAVE TRAIN
WAVE THEORY
SLOPING BOTTOM
SOLVED NUMERICALLY

This publication has 1 reference indexed in Scilit:

The solitary wave in water of variable depth
Journal of Fluid Mechanics, 1970

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