Diffraction and independent radiation by an array of floating cylinders

The radiation and diffraction of linear waves by an array of truncated cylinders is solved in the frequency domain by an exact algebraic method. For combined radiation and diffraction, the boundary conditions on the surface of each cylinder are satisfied by the sum of several Fourier–Bessel series, expressed in polar coordinates centred on each cylinder in the array. This method is then applied to a square array of truncated cylinders, and results are given for the excitation forces on each cylinder, the added mass and damping for each cylinder oscillating independently, and free surface elevations resulting from such oscillations.