Trapping of water waves by pairs of submerged cylinders
by R. Porter
This paper provides strong numerical evidence for the existence of
two-dimensional trapped waves supported by a symmetrically arranged
pair of submerged cylinders belonging to a class of cross-section.
Wide-spacing arguments applied to single submerged obstacles exhibiting
zeros of transmission are used as the basis for seeking trapped waves. The
integral equation technique developed for the scattering by arbitrary
submerged obstacles in Porter (2000) is extended for this problem and
it is shown how trapped waves correspond to the point of crossing of
two independently computed curves. Results are given for a variety of
symmetrical pairs of submerged obstacle.
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