Abstract
One of the important characteristics in the propagation of ship waves is to reduce the wave height with the increasing distance from the sailing line. In addition, the transformation due to wave shoaling and refraction must be considered in case that ship waves propagate on a sloping coast. In the present study, a method to estimate the maximum wave height has been proposed on the basis of results of numerical simulation for ship waves that are generated by a ferry sailing along the coast with straight, parallel depth contour lines. The proposed formula of the maximum wave height is the product of the relative shoaling coefficient, the relative refraction coefficient, the relative damping coefficient and the characteristic wave height defined at an appropriate distance from the sailing line. The coefficients are calculated by using the finite amplitude wave theory for shoaling and Snell's law for refraction. The damping coefficient is calculated so as to be proportional to -1/5th power of the distance from the sailing line. The maximum wave height estimated by the proposed method agrees well with the one by numerical simulations.
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