基于时域格林函数高阶面元法的非定常兴波模拟  

High-order BEM with Transient Green Function and Unsteady Wave-Making Simulation

作　　者：田浩枫 朱仁传[1] 唐恺 Tian Haofeng;Zhu Renchuan;Tang Kai(State Key Laboratory of Ocean Engineering,School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiao Tong University,Shanghai 200240,China;Marine Design and Research Institute of China,Shanghai 200011,China)

机构地区：[1]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 [2]中国船舶及海洋工程设计研究院,上海200011

出　　处：《水动力学研究与进展（A辑）》2023年第2期213-221,共9页Chinese Journal of Hydrodynamics

摘　　要：针对船舶由零航速逐渐加速到恒定航速这一过程中的非定常兴波问题,该文采用高阶面元法离散船舶表面,并分布时域格林函数,构建了离散形式的时域边界积分方程,开发了基于三维势流理论的非定常兴波阻力计算求解程序。以Wigley船的加速运动过程为例,该文对时间步长与网格密度等参数进行了收敛性分析。将兴波阻力变化时历、稳定阶段兴波阻力系数和自由面波高的数值计算结果与试验值进行对比,发现结果吻合良好,表明时域格林函数法能有效求解船舶非定常兴波。To solve the problem of unsteady wave-making in the process of ship gradually accelerating from zero speed to constant speed,the higher-order boundary element method is used to discretize ship hull by the transient free-surface Green function distributed on wet hull surface.The discrete time-domain boundary integral equation is constructed and the unsteady wave-making resistance is calculated.A Wigley hull is used to carry out the convergence analysis of time step and mesh density.The numerical results of wave-making resistance time history,wave-making resistance coefficient and free surface height in steady stage are compared with the experimental values.The results are in good agreement,which proves the effectiveness of transient Green function method in simulating the unsteady ship wave problems.

关 键 词：非定常兴波 高阶面元法 时域格林函数 势流理论 时域模拟 

分 类 号：U661.1[交通运输工程—船舶及航道工程]