Abstract In this paper, a semi-analytical model was developed to find the vertical motions and wavefield around elastic circular floaters of aquaculture fish cages in regular waves. The fluid is assumed inviscid, incompressible, and irrotational flow. A regular train of deep water waves was incident to a floater, which consist of two tori of high-density polyethylene (HDPE) pipes. The problem was analyzed with the assumption of the relatively large incident wavelength in comparison to the cross-section of tori. Slender body theory and matched asymptotic expansions were used with the inner solution close to the body section composed of suitable radiation solution at large distance of floater by distributing source and doublet along centerlines of floater constituent tori. In this approach, the fundamental solutions were developed for symmetric and anti-symmetric motions. Then, the governing equations on diffraction and incident waves were decomposed to Fourier modes of these solutions. The main influence parameters on vertical accelerations such as floater dimensions, wave number, the distances between tori, and bending stiffness of floater were studied. The model results demonstrate good agreement with those of the BEM. Furthermore, the Energy Transmission Index (ETI) was introduced for describing the effect of the floater on the downstream environment.

中文翻译：

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规则海浪与水产养殖网箱弹性漂浮物相互作用的半解析研究

摘要 本文开发了一种半解析模型，以求在规则波浪中水产养殖网箱弹性圆形浮子周围的垂直运动和波场。假定流体为无粘性、不可压缩和无旋流。一列有规律的深水波入射到一个漂浮物上，漂浮物由两个高密度聚乙烯 (HDPE) 管组成。与圆环横截面相比，假设入射波长相对较大，分析了该问题。使用细长体理论和匹配渐近膨胀法，通过沿着漂浮物成分环面的中心线分布源和双合线，将靠近身体部分的内解由距离漂浮物很远的合适辐射溶液组成。在这种方法中，为对称和反对称运动开发了基本解决方案。然后，衍射和入射波的控制方程被分解为这些解的傅立叶模式。研究了浮子尺寸、波数、环距、浮子弯曲刚度等对垂向加速度影响的主要参数。模型结果表明与边界元模型的结果非常吻合。此外，引入了能量传输指数 (ETI) 来描述漂浮物对下游环境的影响。并对浮子的弯曲刚度进行了研究。模型结果表明与边界元模型的结果非常吻合。此外，引入了能量传输指数 (ETI) 来描述漂浮物对下游环境的影响。并对浮子的弯曲刚度进行了研究。模型结果表明与边界元模型的结果非常吻合。此外，引入了能量传输指数 (ETI) 来描述漂浮物对下游环境的影响。