Wave interaction with a uniform porous cylinder of arbitrary shape

In this paper, wave interaction with a bottom-mounted uniform porous cylinder of arbitrary shape is studied using SBFEM (Scaled Boundary Finite-element Method) and domain decomposition technique. The non-homogeneous equation due to the complex configuration of the structure is processed by introducing a porous effect parameter G. The resulting final scaled boundary finite-element equation is homogeneous and can be solved in conventional manners. Only the boundary is spatially discretized with curved surface finite elements, leading a reduction of the spatial dimension by one. The solution in the radial direction is analytical; while in the circumferential direction, the solution is numerical. High accuracy is achieved with a small number of surface finite elements.

► SBFEM is extended to solve wave interaction with porous structures of arbitrary shape.
► Matrix power series which is suitable for boundary of arbitrary shape is chosen as basis functions.
► Wave interaction with a structure consisting of two concentric porous cylinders is dealt with.
► Wave interaction with a porous square cylinder is dealt with.
► High efficiency and high accuracy of SBFEM are demonstrated.