采用三维势流理论进行船舶运动和波浪载荷预报时，有 2 种 Green 函数可供选择：自由 Green 函数和Rankine 源。混合源法，同时使用这 2 种 Green 函数，结合了两者的优点。本文对三维时域混合源法开展研究，为了验证该方法的可行性，本文对一艘散货船进行了时域上运动和波浪载荷的计算，并将计算结果转化到频域上以得到RAO。最终把有航速随浪和顶浪工况下该散货船垂向运动和载荷的 RAO 与 WASIM 计算结果以及模型试验结果进行比较。比较结果表明，混合源法计算结果与 WASIM 结果大体一致；在波长较短时，两者计算结果和试验值结果吻合较好，波长较长时两者计算结果都较试验值偏大。随浪海况下 2 种计算结果较顶浪更贴近试验值。
When the three-dimensional potential flow theory is used to predict the motions and wave loads for ships, two different Green functions are available: transient Green function and Rankine source. Mixed-source method, which combines the transient Green function with the Rankine source, has the benefits of both. In this paper, the three-dimensional time-domain mixed-source method is studied. To verify this theory, motions and loads of a bulk carrier are calculated in time domain. The results are transformed from time domain into frequency domain. Finally, the RAOs of the vertical motions and loads of the bulk carrier under a constant forward speed case are compared with those of WASIM and experiment measurements. A good agreement between the results of the mixed-source method and WASIM is found. When the length of incoming wave is short, the results of mixed-source method and WASIM coincide well with observed values, however, they become greater than measured values when the length of incoming wave becomes large. Evaluations of these two methods agree better with experiment results in following sea cases compared to head sea cases.
2016,38(8): 18-22 收稿日期：2015-11-23
DOI：10.3404/j.issn.1672-7619.2016.08.004
分类号：U661.1
作者简介：杨骏(1990-),男,硕士研究生,主要从事船舶与海洋工程载荷与强度研究。
参考文献：
[1] LIN W M, ZHANG S, WEEMS K, et al. A mixed-source formulation for nonlinear ship-motion and wave-load simulations[C]//Proceedings of the 7th International Conference on Numerical Ship Hydrodynamics. Nantes, France: NSH, 1999: 131-122.
[2] ZHANG S G, LIN W M, WEEMS K. A hybrid boundary-element method for non-wall-sided bodies with or without forward speed[C]//Proceedings of the 13th International Workshop on Water Waves and Floating Bodies. Alphen aan den Rijn, Netherlands: IWWWFB, 1998: 178-182.
[3] LIU S K, PAPANIKOLAOU A. A time-domain hybrid method for calculating hydrodynamic forces on ships in waves[C]//Proceedings of the 13th Congress of International Maritime Association of Mediterranean. Istanbul, Turkey: IMAM, 2009.
[4] 唐恺, 朱仁传, 缪国平, 等. 应用混合格林函数法计算波浪中浮体运动及离散参数取值的算例分析[J]. 中国造船, 2015, 56(1): 102-113. TANG Kai, ZHU Ren-chuan, MIAO Guo-ping, et al. Analysis of motions of floating body in waves by hybrid Green function method and discretization of parameters[J]. Shipbuilding of China, 2015, 56(1): 102-113.
[5] 唐恺, 朱仁传, 缪国平, 等. 基于混合格林函数法的波浪中船舶时域运动计算[C]//2013年船舶水动力学学术会议论文集. 西安: 中国造船工程学会, 2013: 353-364. TANG Kai, ZHU Ren-chuan, MIAO Guo-ping, et al. Hybird green function method for time-domain analysis of motions of floating body in waves[C]//Conference on Ship Hydrodynamics. Xi’an: China Shipbuilding Engineering Society, 2013: 353-364.
[6] 汪雪良, 胡嘉骏, 顾学康, 等. 基于混合源方法的船舶在波浪中的响应预报[C]//2008年船舶水动力学学术会议暨中国船舶学术界进入ITTC30周年纪念会. 杭州: 中国造船工程学会, 2008: 190-197. WANG Xue-liang, HU Jia-jun, GU Xue-kang, et al. Numerical investigation on response of a ship in waves based on a mixed source formulation[C]//Conference on Ship Hydrodynamics. Hangzhou: China Shipbuilding Engineering Society, 2008: 190-197.
[7] 刘应中, 缪国平. 船舶在波浪上的运动理论[M]. 上海: 海洋出版社, 1884.
[8] 丁军, 胡嘉骏. 20.5万吨散货船波激振动和砰击振动模型试验报告[R]. 中国船舶科学研究中心研究报告, 2013.
[9] 丁军, 汪雪良, 田超, 等. 大型散货船波激振动和砰击振动模型试验研究[C]//第二十五届全国水动力学研讨会暨第十二届全国水动力学学术会议文集(上册). 北京: 中国力学学会, 2013: 502-510. DING Jun, WANG Xue-liang, TIAN Chao, et al. Experimental investigations of springing and slamming responses of a large bulk carrier[C]//Proceedings of the 25th National Conference on Hydrodynamics. Beijing: Chinese Society of Theoretical and Applied Mechanics, 2013: 502-510.
[10] SESAM. User Manual[Z]. Det Norsake Veritas, 2010.
