Abstract
The second-order hydrodynamic interactions between the members of an array of bottom-mounted, surface-piercing vertical circular cylinders subjected to nonlinear waves are investigated theoretically. The method of solution for the first-order velocity potential in the vicinity of any array member involves replacing the waves scattered by the other array members at this order by equivalent plane waves together with non-planar correction terms, and is essentially a large-spacing approximation. At the second-order the full diffraction problem for the cylinder array is replaced by a set of equivalent isolated cylinder problems where the formulation has been modified to take into account hydrodynamic interference effects. Results for the total hydrodynamic forces obtained through the present technique show good agreement with published experimental data for a pair of vertical cylinders. Finally, numerical results based on the approximate method are presented for arrays of 2–4 cylinders which illustrate the influence of the various wave and structural parameters on the hydrodynamic loads to the second-order.
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