Water wave scattering by finite arrays of circular structures

The scattering of small amplitude water waves by a finite arrayof locally axisymmetric structures is considered. Regions ofvarying quiescent depth are included and their axisymmetricnature, together with a mild-slope approximation, permits anadaptation of well-known interaction theory which ultimatelyreduces the problem to a simple numerical calculation. Numericalresults are given and effects due to regions of varying depthon wave loading and free-surface elevation are presented.