Wave forces on vertical bodies of revolution
Wave forces on vertical bodies of revolution
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垂直旋转体上的波浪力
DOI：
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发表时间：
1978
影响因子：
3.7
通讯作者：
J. Fenton
中科院分区：
文献类型：
--
作者：
J. Fenton
可以利用衍射水波的物体的轴对称性来给出要求解散射波场和物体上的力的线积分方程。先前建立的表面积分方程中的每一项都可以表示为傅立叶级数，然后对其进行一次解析积分。由此产生的一维方程显示出具有奇点，之前被 Black (1975) 忽略。该方程通过级数变换和奇点减法，使所有级数快速收敛，并且只需沿曲线求解，将计算量减少了大约三个数量级。即使使用相当粗糙的数值近似，通过该方法获得的结果也与先前的分析和实验结果很好地吻合。
The axisymmetry of a body which is diffracting water waves may be exploited to give a line integral equation to be solved for the scattered wave field and forces on the body. Each term in a previously established surface integral equation is shown to be expressible as a Fourier series, which is then integrated once analytically. The resulting one-dimensional equation is shown to possess singularities, previously ignored by Black (1975). This equation, with series transformations and subtraction of singularities such that all series are quickly convergent and that it has to be solved only along a curve, reduces computational effort by some three orders of magnitude. Results obtained by this method give good agreement with previous analytical and experimental results, even if a rather coarse numerical approximation is used.