基于高阶半解析移动脉动源法的船舶波浪增阻数值计算研究  

Numerical study on added resistance of ships advancing in waves byhigher-order semi-analytical translating-pulsating source method

作　　者：杨云涛 张凤伟[2] 严琦 朱仁传[3] YANG Yuntao;ZHANG Fengwei;YAN Qi;ZHU Renchuan(School of Naval Architecture and Civil Engineering,Jiangsu University of Science and Technology,Zhangjiagang 215600,China;National Key Laboratory of Science and Technology on Hydrodynamics,China Ship Scientific Research Center,Wuxi 214082,China;State Key Laboratory of Ocean Engineering,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]江苏科技大学船舶与建筑工程学院,张家港215600 [2]中国船舶科学研究中心水动力学国家重点实验室,无锡214082 [3]上海交通大学海洋工程国家重点实验室,上海200240

出　　处：《江苏科技大学学报（自然科学版）》2024年第2期15-22,共8页Journal of Jiangsu University of Science and Technology:Natural Science Edition

基　　金：国家自然科学基金项目(52101357);船舶总体性能创新研究开放基金项目(31122223);江苏省高等学校基础科学(自然科学)研究项目(21KJB580012)。

摘　　要：在三维势流理论框架下,以移动脉动源格林函数为核函数构建边界积分方程,采用九节点高阶曲面单元进行离散求解速度势,建立了波浪中航行船舶运动响应和波浪增阻的计算模型.为了避免数值计算的不稳定,积分方程中的影响系数采用了半解析公式进行计算.求解波浪增阻时,采用将辐射能量法、Salvensen法和短波半经验公式相结合的混合法,以便能够在全频率范围内得到令人满意的结果.在此基础上,自主开发数值程序对不同船型在不同频率、航速下的运动响应和波浪增阻进行预报.通过将预报值与试验及其它数值方法的结果进行对比发现,文中方法的数值结果与试验值吻合良好,对于不同船型和工况均有着良好的适用性;相比传统基于数值求积公式的移动脉动源法,高阶半解析移动脉动源法计算更为稳定(尤其对于存在外飘的船型),且由于采用了高阶格式,在共振频率附近的预报精度比常值元法更高.Within the framework of three-dimensional potential flow theory,a computational model based on translating-pulsating source Green′s function and 9-node higher-order discretization is established for the motion responses and added resistance of ships advancing in waves.In order to avoid the numerical instability,semi-analytical quadrature formula is derived and employed to evaluate the influence coefficients of the boundary integral equation.And the added resistance is calculated by a combined formula of radiation energy method,Salvensen′s method and semi-empirical method in short waves.Based on the above method,a computer code is developed to investigate the motions and added resistance of various ships at different frequencies and forward speeds.By comparing the predicted results with those of experiment and other numerical methods,it is found that the higher-order semi-analytical translating-pulsating source method can work well for different ship types and working conditions.Besides,the present method appears to be more stable than the translating-pulsating source method based on traditional numerical quadrature formula(especially for the non-wall-sided ship)and more accurate than the constant panel method.

关 键 词：波浪增阻 移动脉动源 高阶 半解析 混合法 

分 类 号：U661.32[交通运输工程—船舶及航道工程]