Integral-Equation Solutions for Time-Dependent Free-Surface Problems
Integral-Equation Solutions for Time-Dependent Free-Surface Problems
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DOI：
10.2534/jjasnaoe1968.1978.41
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发表时间：
1978-06
期刊：
影响因子：
--
通讯作者：
T. Ogilvie;Y. Shin
中科院分区：
文献类型：
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作者：
T. Ogilvie;Y. Shin
有自由表面的物体振动的数值问题通常有两种解法：（1）多极展开法和（2）积分方程法。后者通常在一组离散频率处或附近发生故障，即物体内部流动的互补假设问题的本征频率。Ohmatsu（1975）已经证明了如何通过修改内部问题来避免这种困难。在本文中，一个更简单的程序，以实现相同的结果。在绿色函数中做了一个微小的改变，使得内部问题在所考虑的频率附近永远不会有本征频率。任何基于Frank（1967）方法的现有计算机程序都可以很容易地修改以包含绿色函数的变化。这种修改是基于Ursell（1953）建议的程序。
Two methods are in common use for solving the numerical problem of a body oscillating in the presence of a free surface : (1) a multipole-expansion method and (2) an integral equation method. The latter generally breaks down at and near a set of discrete frequencies, namely, the eigenfrequencies of the complementary, hypothetical problem for the flow inside the body. Ohmatsu (1975) has shown how to avoid this difficulty by modifying the interior problem. In the present paper, an even simpler procedure is presented for accomplishing the same result. A minor change is made in the Green function, in such a way that the interior problem never has an eigenfrequency near the frequency under consideration. Any existing computer program based on the approach of Frank (1967) can be modified easily to incorporate the change of Green function. The modification is based on a procedure suggested by Ursell (1953).