Hydrodynamic interaction among multiple columns in front of a vertical wall

Hydrodynamic interaction among multiple columns in front of a vertical wall
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垂直墙前的多个柱之间的流体动力相互作用

DOI:
10.1016/j.oceaneng.2019.106877
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发表时间:
2020-02
期刊:
影响因子:
5
通讯作者:
勾莹
勾莹
中科院分区:
工程技术2区
文献类型:
--
作者:
丛培文;陈丽芬;勾莹

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港口和/或港湾中的停泊或系泊设施通常为一组立柱的形式。这些结构布置在靠近长的垂直港壁的地方。准确预测这种结构上的波浪力是重要的,然而,具有挑战性的,因为圆柱之间以及圆柱与壁之间的干扰必须是正确的。在这项工作中,一个新的分析模型已被开发,以调查这种结构的水动力特性的线性波动理论的框架内。原来的问题被认为是相当于两个对称阵列的圆柱体在开放的水域,都暴露于环境入射波。圆柱体的原始阵列在下文中被标记为真实的圆柱体,并且第二阵列被标记为图像圆柱体。采用这种处理方法时,必须假设壁面上的全波反射。由于对称性,从真实的和图像圆柱的衍射波之间的简单关系被发现,这减少了一半的未知数与速度势。在求解速度势后,计算了波浪力和水面高程。对于平均漂移波浪力的计算,提出了两种不同的解。一种是基于直接压力积分,另一种是基于动量守恒定理的应用,在一个有限的流体体积周围的某一柱阵列。然后,对平行于竖直壁面的等间距圆柱列进行了系统分析。在特定的波频下,圆柱体周围出现明显的波浪爬高,会产生较大的波浪力。此外,一阶和平均漂移波力的总波浪力的相对贡献进行了检查。
The berthing or mooring facilities in ports and/or harbors are usually in the form of a group of vertical columns. These structures are arranged in close proximity to the long vertical harbor wall. Accurate prediction of wave force on such structures is of importance, yet, challenging, as both interferences among cylinders as well as between cylinders and the wall must be correct. In this work, a novel analytical model has been developed to investigate the hydrodynamic characteristics of such structures within the framework of linear wave theory. The original problem is considered to be equivalent to that of two symmetrical arrays of cylinders in open water; both are exposed to the ambient incident waves. The original array of cylinders is labelled as real cylinders hereafter, and the second array as image cylinders. The assumption of full wave reflection on the wall is essential by using this treatment. Due to the symmetry, simple relationships between the diffracted waves from the real and image cylinders are found, which reduces the number of unknowns associated with the velocity potential by half. After solving the velocity potential, the wave forces as well as the surface elevation are evaluated. Two different solutions have been developed for the calculation of mean drift wave force. One is based on the direct pressure integration and the other is based on the application of momentum conservation theorem in a limited fluid volume surrounding a certain cylinder in the array. Then, the systematic analysis is performed for a line array of equally-spaced cylinders parallel to a vertical wall. Largely amplified wave forces are found at specific wave frequencies, which occur with the appearance of pronounced wave runup around the cylinders. Furthermore, the relative contribution of the first-order and the mean drift wave forces to the total wave force is examined.
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