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Third order contribution to the wave-making resistance of a ship at finite depth of water

机译：三阶对有限水深处船舶的兴波阻力的贡献

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摘要

This paper presents a potential based boundary element method for solving a nonlinear free surface flow problem for a ship moving with a uniform speed in finite depth of water. The free surface boundary condition is linearized by the systematic method of perturbation in terms of a small parameter up to third order. The surfaces are discretized into flat quadrilateral elements and the influence coefficients are calculated by Morino's analytical formula. Dawson's upstream finite difference operator is used in order to satisfy the radiation condition. The second order solution gives better result than the first or third order solution. So the present method with the second order solution can be adopted as a powerful tool for the hydrodynamic analysis of the thin ship in finite depth of water.
机译：本文提出了一种基于势能的边界元方法，用于解决在有限深度的水中以均匀速度运动的船舶的非线性自由表面流问题。自由表面边界条件是通过系统的摄动方法线性化的，它的参数小至三阶。将表面离散为平坦的四边形元素，并通过Morino的解析公式计算影响系数。为了满足辐射条件，使用了道森的上游有限差分算子。与一阶或三阶解决方案相比，二阶解决方案给出了更好的结果。因此，本发明的具有二阶解的方法可被用作在有限水深中对薄船进行流体动力学分析的有力工具。

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