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首页> 外文期刊>Ocean Engineering >Wave radiation from multiple cylinders of arbitrary cross sections
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Wave radiation from multiple cylinders of arbitrary cross sections

机译：来自任意截面的多个圆柱的波辐射

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摘要

A semi-analytic model based on linear potential theory is developed to solve wave radiation from an array of truncated cylinders with arbitrary cross sections, free to oscillate independently in water of finite depth. The radiated velocity potential in the interior region below each cylinder and the exterior region extending to infinity are expressed as a series of eigenfunctions in the local cylindrical coordinate system using the method of separation of variables. They are solved subsequently by imposing the continuity condition of the velocity and pressure at the wetted surfaces of the cylinders and the fluid interfaces between adjacent regions. In the process, the Fourier series expansion method is applied to the terms regarding the arbitrary cross sections. The model is successfully validated through a case study with two caissons - excellent agreement is obtained with a numerical model based on the boundary element method. The semi-analytic model is then applied to explore the influence of layout (angle and spacing between the two caissons) on the added-mass and radiation damping coefficients. It is found that the hydrodynamic interaction between the two caissons can increase or decrease the value of the coefficients depending on the wave frequency.
机译：建立了基于线性势能理论的半解析模型，以求解来自具有任意横截面的截断圆柱体阵列的波辐射，该截断圆柱体在有限深度的水中可自由振荡。使用变量分离的方法，将每个圆柱体下面的内部区域和延伸到无穷大的外部区域中的辐射速度势表示为局部圆柱坐标系中的一系列本征函数。随后通过在圆柱体的湿润表面和相邻区域之间的流体界面处施加速度和压力的连续性条件来解决这些问题。在此过程中，将傅里叶级数展开法应用于与任意横截面有关的项。通过两个沉箱的案例研究成功验证了该模型-使用基于边界元方法的数值模型获得了极好的一致性。然后应用半解析模型来研究布局（两个沉箱之间的角度和间距）对附加质量和辐射阻尼系数的影响。发现两个沉箱之间的流体动力相互作用可以根据波频率增加或减小系数的值。

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