波浪中航行船舶水动力和运动分析的Rankine源高阶面元法研究  

Study on Higher-order Rankine Source Method for Hydrodynamic and Motion Responses of Vessels Sailing in Waves

作　　者：杨云涛 朱仁传[2] 高慧[1] YANG Yuntao;ZHU Renchuan;GAO Hui(School of Naval Architecture and Civil Engineering,Jiangsu University of Science and Technology,Zhangjiagang 215600,China;State Key Laboratory of Ocean Engineering,School of Naval Architecture,Ocean and Civil 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]上海交通大学船舶海洋与建筑工程学院海洋工程国家重点实验室,上海200240

出　　处：《中国造船》2022年第1期14-27,共14页Shipbuilding of China

基　　金：国家自然科学基金项目(52101357)

摘　　要：基于三维频域势流理论,采用计及定常绕流影响的物面和自由面条件,建立了求解波浪中航行船舶水动力和运动响应的Rankine源高阶面元法。采用九节点等参单元离散船体表面,引入Rayleigh人工阻尼项消除自由面截断处波浪的反射,并基于积分方法计算物面条件中的m_(j)项。为了反映波浪自船头向船尾传播的特性,提高数值计算稳定性和精确性,采用二阶迎风差分格式处理自由面条件中速度势的二阶空间导数。选择不同的自由面范围和网格密度对船舶在典型工况下的水动力系数进行计算和分析,以确定达到收敛要求的离散参数取值。在此基础上,针对不同船型在不同遭遇频率下的水动力和运动响应进行数值预报,并将它们与试验及其它数值方法的结果进行对比,表明用该方法计算的结果与试验数据吻合良好。该方法与基于线性均流和常值单元离散的Rankine源法相比精度更高,对于船体外飘的船舶水动力计算要比移动脉动源法更为稳定。Based on the theory of three-dimensional potential flow in the frequency domain,a higher-order Rankine source method with consideration of steady flow effect is developed for the hydrodynamic and motion responses of ships sailing in waves.In this method,the ship hull is discredited with 9-node bi-quadratic curvilinear elements,and Rayleigh’s artificial friction is introduced into the free-surface condition to guarantee the radiation condition in the far field and the m terms in the body surface condition are evaluated by an integration method.Second-order spatial derivatives of velocity potential in the free-surface condition are discredited with a second-order upwind difference scheme.Through the calculations of hydrodynamic coefficients of ships by using different computational domain size and mesh density,the present method is proved to have good convergence.The higher-order Rankine source method is applied to solve the hydrodynamic forces and motion responses of various ships at different encounter frequencies.By comparing computed results with the experimental data and other numerical results,it is found that the present method appears to be more accurate than the Rankine source methods using uniform-flow linearization or constant panels,and more stable than the translating and the pulsating Green’s function method,especially for ships without wall sided.

关 键 词：频域高阶Rankine源法 Rayleigh人工阻尼 定常绕流耦合 二阶迎风差分 有航速船舶耐波性 

分 类 号：U661.3[交通运输工程—船舶及航道工程]