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Abstract

This study develops an analytical solution for oblique wave scattering by a submerged porous breakwater with a leeside partially reflecting vertical wall. The matched eigenfunction expansion method is used to develop the analytical solution. The whole fluid domain is divided into three regions according to the geometries of the structures. The series solution of the velocity potential in each region is obtained by the separation of the variables, and the unknown expansion coefficients are determined using the pressure and velocity continuous conditions on interfaces of different regions. The newly developed analytical solution is confirmed by an independently developed multi-domain boundary element method (BEM) solution and two known solutions for special cases. Numerical examples are presented to examine the reflection and transmission coefficients of the porous breakwater. Some useful results for engineering design are provided. The present solution may be used to determine the optimal breakwater parameters under an oblique wave attack at a preliminary engineering design stage.

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