Removing the irregular frequencies from integral equations in wave-body interactions
Removing the irregular frequencies from integral equations in wave-body interactions
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DOI：
10.1017/s0022112089002636
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发表时间：
1989-10
影响因子：
3.7
通讯作者：
C.-H. Lee;P. Sclavounos
中科院分区：
文献类型：
--
作者：
C.-H. Lee;P. Sclavounos
本文提出了一种方法，消除了边界积分方程中的所有不规则频率的影响，控制规则波与一般几何形状的浮体的相互作用。将经典的绿色方程与其关于场点的法向导数线性叠加，得到一个修正的积分方程。选择一个纯虚的比例常数，确保消除所有不规则的频率在连续的问题和适当的选择其幅度消除其不希望的影响，在其数值实现。计算了球体和截顶圆柱体的附加质量系数、阻尼系数和激振力，说明了该方法的有效性。
The paper presents a method that removes the effects of all irregular frequencies in boundary-integral equations governing the interaction of regular waves with floating bodies of general geometry. A modified integral equation is obtained by the linear superposition of the classical Green equation and its normal derivative with respect to the field point. The selection of a purely imaginary constant of proportionality ensures the removal of all irregular frequencies in the continuous problem and the appropriate selection of its magnitude eliminates their undesirable effects in its numerical implementation. Computations are presented of the added-mass and damping coefficients and exciting forces on a sphere and a truncated vertical cylinder, illustrating the effectiveness of the method.