The interaction of water wave with arrays of combined cylinders with a solid interior column surrounded by a coaxial exterior column with perforated wall at a section in azimuthal direction is investigated theoretically. A semi-analytic linear solution has been acquired based on an eigenfunction expansion of velocity potential and a linear model that the fluid velocity inside of fine pores is linearly proportional to the pressure difference between two sides of a perforated wall. Numerical experiments have been carried out to examine the wave force and wave run-up on the arrays of combined cylinders with perforated wall by the porous coefficient. The combined cylinder may reduce both the wave run-up and the wave loads on it through the combination of certain parameters. It is found that the porous rates of the exterior wall have a significant influence on the result of wave run-up and wave loads. For certain parameter combinations, the porous combined cylinder may reduce the wave run-up or wave loads on it.


Array of cylindrical structures are widely used in coastal and offshore structure construction. The evaluation of the hydrodynamic behavior between the members of an array of cylindrical structures is an important topic in ocean engineering. These interactions may result in both hydrodynamic loads and wave run-up on the individual structures that differ significantly from the loads and wave run-up; they would experience in isolated condition due to the interference of other cylinders. For the sake of reduction of wave force and run-up on the cylinder structures, porous structures are considered to be used and many researches have been done on this subject in last decades. An exact solution for the diffraction of linear water waves with arrays of impermeable cylinders was first given by Spring and Monkmeyer (1974) using an eigenfunction expansion approach.

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