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.
Flexural or membrane‐coupled or capillary gravity wave scattering by a submerged or a piercing vertical porous barrier is analytically studied based on a connection that involves the solution potentials and few auxiliary potentials. The problems for the auxiliary potentials are relatively easy to handle for their solutions. The original problem is decomposed into two scattering or radiation problems of this type. The solution wave potential is determined in terms of those resolved wave potentials. Numerical results for the explicitly obtained scattering quantities are also presented.
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