Wave interaction with a uniform porous cylinder of arbitrary shape

Abstract

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.