WIT Press

Incoming Water Waves Against An Overhanging Cliff

Price

Free (open access)

Paper DOI

10.2495/CE030311

Volume

70

Pages

10

Published

2003

Size

342.49 kb

Author(s)

A. Chakrabarti

Abstract

Incoming water waves against an overhanging cliff A.Chakrabarti Department of Mathematics, Indian Institute of Science, India Present address: Department of Mathematical Sciences, New Jersey Institute of Technology, USA 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 comer point but involves reflected wave terms. The exact expression for the complex reflection coefficient is determined for the second class of solution. 1 Introduction The mathe

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