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AN EFFICIENT METHOD FOR HYDRODYNAMIC ANALYSIS OF A FLOATING VERTICAL SIDED STRUCTURE IN SHALLOW WATER

机译:浅水浮动竖向结构动力分析的一种有效方法。

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摘要

Vertical sided objects with a flat bottom represent a broad class of marine structures, which include barges, pontoons, floating docks, breakwaters and some offshore platforms. When such structures are towed or operated in shallow water, accurate prediction of wave induced motions is required to design the mooring system and to determine the dynamic under-keel clearance. The hydrodynamic analysis may be difficult when the gap between the structure bottom and the sea floor is small, calling for a large number of panels to be used on the bottom and near the edges, to capture the singular behaviour of the flow in these regions. The paper presents a method for hydrodynamic analysis, which is intended to avoid these difficulties and to provide good accuracy for any small value of the under bottom clearance. Following the method of matched asymptotic expansions, the linear wave-body interaction problem is solved by matching the two "outer" flows with the "inner" flow near the structure edge. The three-dimensional hydrodynamic problem is reduced to an integral equation in two dimensions formulated on the water line (footprint) of the structure, simplifying the numerical implementation and reducing the number of subdivisions elements. Because the singular behaviour of the flow near the edge and under the bottom is effectively extracted from the solution, the method enables to use the same number of subdivisions for any small under-keel clearance, providing improving accuracy as the under-keel clearance shrinks to zero. Numerical results are presented and discussed for typical geometries, which compare well with those obtained by other methods.
机译:具有平坦底部的垂直侧面物体代表了广泛的海洋结构,包括驳船,浮船,浮船坞,防波堤和一些海上平台。当在浅水中拖曳或操作此类结构时,需要精确预测波浪引起的运动,以设计系泊系统并确定动态龙骨间隙。当结构底部和海床之间的间隙较小时,流体动力学分析可能会很困难,需要在底部和边缘附近使用大量面板来捕获这些区域中流动的奇异行为。本文提出了一种水动力分析方法,旨在避免这些困难并为任何较小的底部间隙提供良好的精度。遵循匹配渐近展开法,通过将两个“外部”流与结构边缘附近的“内部”流匹配来解决线性波体相互作用问题。将三维流体动力学问题简化为二维结构上的水线(足迹)上的二维积分方程,简化了数值实现,并减少了细分元素的数量。由于从解决方案中有效地提取了靠近边缘和底部下方的流动的奇异行为,因此该方法可对任何较小的龙骨间隙使用相同数量的细分,从而随着龙骨间隙缩小至零。给出并讨论了典型几何形状的数值结果,这些结果与通过其他方法获得的结果很好地比较。

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