27 波浪中非定常運動する浮体に作用する非線形波浪流体力(第一報)

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There exist nonlinear wave loads such as wave drift force, wave drift damping and wave drift added mass, when the floating body is slowly oscillating in waves. In the present study, wave drift added mass acting on an arbitrarily shaped body is evaluated based on the potential theory. A moving coordinate frame following the low frequency motion of the body is adopted to express this interaction model. Two small parameters which express wave slope (ε) and the frequency of slow oscillations (σ) are used for the perturbation expansion. The boundary value problem of each order is solved by the hybrid method. The fluid domain is divided into two regions. The potentials are expressed by the eigen function expansion in the outer region while the inner region is solved by the boundary element method (BEM) with the Rankine source as the Green's function. Element functions with higher order are utilized to improve the accuracy. Wave drift added mass is contributed from five components of potentials. The following potentials are solved in this work. First is the wave potential (O(ε)). Second is the disturbance potential for slowly oscillation of the body (O(σ)). The last one is the linear potential referring to the incident wave but affected by disturbance of the body (O(εσ)). In the case of the O(εσ) problem, it is important to treat the inhomogeneous free surface boundary condition. In the present paper, the Emmerhoff solution and a new approach about integral over the free surface are expanded for it. The wave drift added mass is calculated. Result is compared with the semi-analytical one. Good agreement is observed.
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27 波浪中非定常運動する浮体に作用する非線形波浪流体力(第一報)

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