Water Wave Scattering by a Vertical Porous Barrier With Two Gaps

Abstract

Explicit solutions are rarely available for water wave scattering problems. An analytical procedure is presented here to solve the boundary value problem associated with wave scattering by a complete vertical porous barrier with two gaps in it. The original problem is decomposed into four problems involving vertical solid barriers. The decomposed problems are solved analytically by using a weakly singular integral equation. Explicit expressions are obtained for the scattering amplitudes and numerical results are presented. The results obtained can be used as a benchmark for other wave scattering problems involving complex geometrical structures.

Water Wave Scattering by a Thin Vertical Submerged Permeable Plate

“…Manam and Sivanesan [19] developed an analytical method to study the problem of water wave scattering by vertical porous barriers situated in deep water by establishing integral relations between potentials associated with the solid and porous barriers. Sivanesan and Manam [25] obtained analytical solution for the scattering problem involving a porous plate with two gaps by decomposing the associated boundary value problem into four problems involving solid barriers. Chanda and Bora [3] used the methods of eigenfunction expansion and least square to investigate the interaction of water waves with a pair of submerged vertical porous plates present in water of finite depth with a porous sea bed.…”