Wave action by arrays of vertical cylinders with arbitrary smooth cross-section

This paper presents an analytical model to solve the linear wave diffraction problem by arrays of bottom-mounted cylinders with arbitrary smooth cross-section. Based on the assumption of ideal fluid and potential theory, the unknown coefficients of total velocity potential can be solved by linear system equations, which are obtained from the boundary conditions. The accuracy of present method is verified by comparing it to the numerical tool in terms of the wave force and wave run-up. Multiple cylinders with different configurations are tested, the cross-section of which is circular with cosine perturbation. The comparison results show that the proposed method could obtain an accurate prediction of the wave action with multiple cylinder problems. Finally, the diffraction wave is investigated on arrays of bottom-mounted cylinder with different cross-section and layout. The near-trapping problem with effects of the multi-body interaction are also investigated.