Second-order Hydrodynamic Forces on Moored Vessels in Random Waves
An exact second-order theory is formulated for predicting the slowlyvarying second-order hydrodynamic forces on moored vessels in random waves. The near field approach based on direct integration of the fluid pressure on the submerged body surface is employed in conjunction with the Stokes expansion to second order. Green’s second identity is exploited to derive the expression for the second-order hydrodynamic forces due to the second-order velocity potential involving first-order quantities and the second-order undisturbed potential. It is shown that the contribution of the second-order potential to the slowly-varying forces may be significant in irregular seas with longer mean wave period.
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