Wave forces on steeply-sloping sea walls
type: Item
instance of: scholarly article
title: Wave forces on steeply-sloping sea walls
zbMATH Open document ID: 0584.76022
DOI: 10.1007/BF00042879
author: P. J. Kachoyan
author: W. D. McKee
published in: Journal of Engineering Mathematics
publication date: 1985-01-01T00:00:00Z
review text: The forces exerted by non-breaking, normally-incident water waves on a sloping sea wall are investigated within the framework of linearised potential theory. The slope of the sea wall is assumed to be large. The solution is in the form of an eigenfunction expansion, the coefficients of which are found by two methods. The first is a perturbation scheme based on the smallness of the reciprocal of the slope and is carried out to second order in this quantity. The second is a Galerkin technique. Results are presented for the case of a planar, outward-sloping sea wall. In shallow water it is found that the normal wave force decreases as the slope of the wall increases. In deep water, the reverse is true whilst in water of intermediate depth the normal wave force is only weakly dependent upon the slope of the sea wall.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3936760
zbMATH Keywords: non-breaking, normally-incident water waves
zbMATH Keywords: sloping sea
zbMATH Keywords: linearised potential theory
zbMATH Keywords: eigenfunction expansion
zbMATH Keywords: perturbation scheme
zbMATH Keywords: Galerkin technique
zbMATH Keywords: planar, outward-sloping sea wall
zbMATH Keywords: shallow water
MaRDI profile type: Publication
cites work: Q3246820
cites work: Wave forces on vertical bodies of revolution
cites work: Propagation of obliquely incident water waves over a trench
cites work: On the parabolic equation method for water-wave propagation
description: scientific article; zbMATH DE number 3936760