The scattering of surface waves by compact obstacles
Abstract
The paper is concerned with a regular wave train which travels along the surface of a body of slightly compressible fluid of infinite depth or constant depth and is scattered by totally immersed obstacles. The scattering geometry which may be either twodimensional or threedimensional is taken to be compact in the sense that the ratio of the characteristic width to depth is small. An asymptotic solution is found by the method of matched expansions; this method involves a locally incompressible inner approximation which is matched with an outer solution that corresponds to pointsource or linesource singularities. A general treatment is developed, and explicit results are presented for surface waves scattered by either a pair of circular cylinders or by a prolate spheroid at incidence.
 Publication:

Quarterly Journal of Mechanics and Applied Mathematics
 Pub Date:
 February 1978
 Bibcode:
 1978QJMAM..31...19D
 Keywords:

 Circular Cylinders;
 Compressible Fluids;
 Prolate Spheroids;
 Surface Waves;
 Wave Scattering;
 Asymptotic Methods;
 Barriers;
 Wave Diffraction;
 Physics (General)