一种快速有效地计算多物体耦合运动的方法

文章给出一种简单有效的计算多船和多墩柱相互作用的方法。该方法的出发点是将船体剖面用具有等效矩形代替,并将其周围的流场划分为船底与水底之间的内场和船侧面的外场。内场速度势采用简单的解析解;外场速度势沿水深做傅立叶级数展开,并在船体水面周线上分布源汇。然后在内外场交界面上进行耦合匹配求解。对于求解墩柱可以等效于求解船体底间隙为零的情况。上面简单的方法对于多船和多墩柱的耦合计算是简单和有效的。通过给出数值算例,证明了本方法的精确性和有效性,并且研究了多船和港口间的相互作用问题。

A Simple and Efficient Method for the Coupled Motions of Multiple Bodies

A simple and efficient method for the interaction of multiple ships and piers in waves is presented. The starting point of method is approximating the ship section by a rectangle with the same area as that of the original ship section, and the flow field can be divided into inner domain below the ship bottom and the outer domain beside ship hull. The inner-domain velocity potential is given by a simple analytic solution, and the outer-domain velocity potential, given by a source-sink distribution along the contour of ship water area, is expanded over water depth as a Fourier series. The two velocity potentials are matched at the interface of two domains by matching condition.The problem for piers is treated as the case with the gap between ship bottom and seabed being zero. This method can yield a simple and efficient calculation method for the coupling of multiple ships and piers in waves.Numerical examples are given to validate the accuracy and efficiency of the present method and to investigate the interaction among ships and harbors.