Water wave interaction with an array of submerged circular plates: Hankel transform approach

A Hankel transform based model is developed to study water wave interaction with an array of thin submerged horizontal perforated and/or elastic circular plates. The integral equations are formulated in terms unknown functions related the jump velocity potential across each plate. Galerkin method adopted solution these and plate expressed Fourier-Gegenbauer series. present found be valid for multiple plates distributed arbitrarily, including staggered arrangement, which traditional eigenfunction matching would not work.