Water wave scattering by finite arrays of circular structures

Chamberlain, P. G. (2007) Water wave scattering by finite arrays of circular structures. IMA Journal of Applied Mathematics, 72 (1). pp. 52-66. ISSN 0272-4960 doi: 10.1093/imamat/hxl025

Abstract/Summary

The scattering of small amplitude water waves by a finite array of locally axisymmetric structures is considered. Regions of varying quiescent depth are included and their axisymmetric nature, together with a mild-slope approximation, permits an adaptation of well-known interaction theory which ultimately reduces the problem to a simple numerical calculation. Numerical results are given and effects due to regions of varying depth on wave loading and free-surface elevation are presented.