The Effects of Forward Speed in the Radiation Problem of a Surface-Piercing Body〔含討論〕

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The validity of a linear solution is investigated for an oscillating and translating problem of a surface-piercing body. In order to avoid numerical inaccuracy, analyses are concerned only with the two-dimensional radiation problem. In the first half of the present paper, studies are made of a solution satisfying the classical free-surface condition with only the effect of uniform stream taken into account. The method of integral equation with the so-called line-integral term is applied to obtain a numerical solution. This solution has the property that the fluid velocity is bounded at intersections between the body and free surfaces. The same solution is also constructed by the method of multipole expansion, which is newly developed in the present study. It is found that additional contributions to the rate of energy flux arise from the intersections in the case of surface-piercing problem with forward velocity. In the second half, the hybrid method is developed to obtain a solution which satisfies the free-surface condition with the effect of steady perturbations included. Contrary to the classical solution, this modified solution gives no contributions to the rate of energy flux at the intersections. Computations are performed for the added-mass and damping coefficients of a half-immersed circular cylinder. The integrated pressure forces are not much influenced by the forward speed and by the steady perturbations. However these effects are not necessarily small upon the distribution of velocity potential on the body and free surfaces.
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The Effects of Forward Speed in the Radiation Problem of a Surface-Piercing Body〔含討論〕

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The Effects of Forward Speed in the Radiation Problem of a Surface-Piercing Body〔含 討論〕

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The Effects of Forward Speed in the Radiation Problem of a Surface-Piercing Body〔含討論〕