Incoming water waves against an overhanging cliff

Document Type

Conference Proceeding

Publication Date

12-1-2003

Abstract

A reduction technique is utilized to determine the exact solution to the boundary value problem involving the two-dimensional Laplace equation in an angular region, of vertical angle 45°. The associated physical problem is that of determining the effect of an incoming surface water wave, against a overhanging cliff in the form of a rigid plane inclinded at an angle of 45° to the vertical.. It is shown that two distinct classes of solutions are possible. One of these solutions possesses a source-like behaviour at the corner point ( i.e., at the shore-line) whilst the other is regular at the corner point but involves reflected wave terms. The exact expression for the complex reflection coefficient is determined for the second class of solution.

Identifier

2942692461 (Scopus)

ISBN

[1853128791]

Publication Title

Environmental Studies

First Page

313

Last Page

322

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