Wave Loads and Ship Motions Evaluated by Linear Strip and Panel Methods

Aaro Karola, S. Hirdaris, J. Matusiak, T. Mikkola
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Abstract

Despite the rapid development of Computational Fluid Dynamics (CFD) the demand for potential flow hydrodynamics in ship design remains relevant. This is because 2D and 3D Boundary Element Methods (BEM) can be applied for rapid prediction of motions and wave loads. This paper compares results from linear 2D strip-theory and 3D Green function methods with empirical forward speed correction factors in terms of ship motions, radiation forces and wave loads. The former approach applies a “Frank Close-fit” method to solve the radiation problem in 2D. The latter utilizes a pulsating “Green function” source distribution method to solve the radiation problem in 3D. Results are validated against experimental data available for a container ship. It is shown that the motion RAOs obtained by both methods are similar and agree with the experimental values. However, responses in terms of longitudinal distribution of wave loads show discrepancies which increase with wave length shortening and closer to the bow region. An increasing role of diffraction and disregarding forward speed wave making affect the results in short waves. Moreover, it is concluded that solving the linear seakeeping problem is not very sensitive to hull form details and to the modelling of forward speed effects on radiation.
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用线形条法和面板法评估波浪荷载和船舶运动
尽管计算流体力学(CFD)发展迅速,但在船舶设计中对势流流体力学的需求仍然存在。这是因为二维和三维边界元方法(BEM)可以用于快速预测运动和波浪荷载。本文从船舶运动、辐射力和波浪载荷三个方面比较了线性二维条形理论和三维格林函数方法的结果和经验正向航速修正因子。前一种方法采用“Frank Close-fit”方法来解决二维辐射问题。后者利用脉动“格林函数”源分布方法来解决三维辐射问题。结果与一艘集装箱船的实验数据进行了验证。结果表明,两种方法得到的运动RAOs基本一致,与实验值吻合。然而,在波浪荷载的纵向分布方面,响应表现出差异,随着波长的缩短和靠近船首区域而增加。在短波中,衍射的作用越来越大,不考虑前向速度波的形成,对结果有影响。此外,还得出结论,求解线性耐波性问题对船体形状细节和前向速度对辐射影响的建模不太敏感。
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