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A frequency domain hybrid Green function method for seakeeping and added resistance performance of ships advancing in waves
Engineering Analysis With Boundary Elements ( IF 4.2 ) Pub Date : 2024-08-21 , DOI: 10.1016/j.enganabound.2024.105913
Guohua Dong , Chaobang Yao , Jiawei Yu , Xiaoshuai Sun , Dakui Feng

A three-dimensional hybrid Green function method is proposed to investigate the seakeeping and added resistance performance of ships advancing in waves. As for the method, the whole fluid domain is divided into two subdomains by introducing a regular virtual control surface. In the inner domain, the first order Taylor Expansion Boundary Element Method (TEBEM) based on simple Green function (Rankine source) is applied. Meanwhile, three-dimensional panel method based on the translating-pulsating panel source (3DTP-PS) Green function is adopted in the outer domain, to overcome the difficulty in proposing a proper boundary condition of the control surface for the Rankine source panel method. With respect to the coupled solutions in the two subdomains, the continuous conditions of velocity potential and its normal derivative are imposed on the virtual control surface. Different treatments of linearization of the free surface and the corresponding ship hull conditions in the inner domain are discussed. Furthermore, six ship models are selected to investigate: the Wigley III, Slender Wigley, Blunt Wigley, S-60, SCb-84 and RIOS ship models (which include different ship types, such as slender, blunt, with bulbous bow, and without bulbous bow). Firstly, through the calculations of radiation and diffraction forces on two modified Wigley hulls and S-60 with block coefficient equals to 0.7, the present method is proved to have good mesh convergence, and satisfactory results can be obtained. Then, the present numerical method is applied to evaluate the hydrodynamic responses of ships sailing in head and oblique waves. Finally, the ship motions and the wave‑induced mean second order wave forces are calculated, including multiple wave directions. Good agreement between the experimental measurements and the numerical results is obtained in all cases, indicating that the present hybrid Green function method is useful and applicable. For present hybrid Green function method, TEBEM is used instead of the traditional constant panel method, which has the advantages of accuracy, and provides a new way for ship hydrodynamic calculation.

中文翻译:


船舶波浪中耐波增阻性能的频域混合格林函数方法



提出了一种三维混合格林函数方法来研究船舶在波浪中前进的耐波性和附加阻力性能。该方法通过引入规则的虚拟控制面将整个流体域划分为两个子域。在内域中,应用基于简单格林函数(朗肯源)的一阶泰勒展开边界元法(TEBEM)。同时,外域采用基于平移脉动面板源(3DTP-PS)格林函数的三维面板法,克服了朗肯源面板法提出合适的控制面边界条件的困难。对于两个子域中的耦合解,在虚拟控制面上施加速度势及其法导数的连续条件。讨论了自由表面线性化的不同处理方法以及内域相应的船体条件。此外,还选取了六种船模进行研究:Wigley III、Slender Wigley、Blunt Wigley、S-60、SCb-84和RIOS船型(包括细长型、钝型、带球鼻艏、不带球鼻艏等不同船型)。球鼻艏)。首先,通过对两种改进的Wigley船体和分块系数为0.7的S-60的辐射力和绕射力的计算,证明了该方法具有良好的网格收敛性,能够得到满意的结果。然后,应用本文的数值方法来评估船舶在顶浪和斜浪中航行的水动力响应。最后,计算船舶运动和波浪引起的平均二阶波浪力,包括多个波浪方向。 在所有情况下,实验测量和数值结果之间都获得了良好的一致性,表明当前的混合格林函数方法是有用且适用的。目前的混合格林函数法采用TEBEM代替传统的常数面板法,具有精度高的优点,为船舶水动力计算提供了新的途径。
更新日期:2024-08-21
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