Study on HOBEM Based on Analytical Panel Integrals Related to Translating-Pulsating Source for Hydrodynamic Responses of Vessels Sailing in Waves

作     者：YANG Yun-tao ZHU Ren-chuan LI Yu-long YANG Yun-tao;ZHU Ren-chuan;LI Yu-long

作者机构：School of Naval Architecture and Civil EngineeringJiangsu University of Science and TechnologyZhangjiagang 215600China State Key Laboratory of Ocean EngineeringCollaborative Innovation Center for Advanced Ship and Deep-Sea ExplorationSchool of Naval ArchitectureOcean and Civil EngineeringShanghai Jiao Tong UniversityShanghai 200240China Technology Centre for Offshore and MarineSingapore(TCOMS)Singapore 

出 版 物：《China Ocean Engineering》 (中国海洋工程（英文版）)

年 卷 期：2022年第36卷第3期

页      面：348-362页

核心收录：

学科分类：08[工学] 0815[工学-水利工程] 0824[工学-船舶与海洋工程] 0802[工学-机械工程] 0814[工学-土木工程] 082401[工学-船舶与海洋结构物设计制造] 

基　　金：financially supported by the National Natural Science Foundation of China (Grant No. 52101357) the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 21KJB580012) the Scientific Research Start-up Fund of Jiangsu University of Science and Technology 

主　　题：HOBEM translating-pulsating Green’s function analytical quadrature seakeeping forward speed 

摘      要：A higher-order boundary element method(HOBEM)incorporated with analytical panel integrals related to translat-ing-pulsating source Green’s function is proposed for the hydrodynamic response prediction of ships advancing in waves.In this method,the 9-node bi-quadratic curvilinear elements employed to discretize the mixed-source/dipole boundary integral equation are mapped into the parametric plane through a coordinate transformation.Then in order to ease the numerical instability problem,a novel analytical quadrature is derived to calculate the influence coefficients by changing the integral order and using integration by parts.The singularity caused by infinite discontinuity is analyzed and eliminated by adopting some mathematical techniques.Through the calculations of panel integrals of Green’s function and its x-derivative,the analytical integral method is proved to be always accurate even for field points approaching the free surface,where numerical quadrature is impossible to give reasonable results.Based on this,a higher-order seakeeping program is developed and applied in the motion response prediction of two different types of ships(i.e.,a wall-sided ship Wigley III and a non-wall-sided ship S175).By comparing the computed results with the corresponding experimental data and numerical solutions of the translating-pulsating and higher-order Green’s function methods based on traditional Gauss quadrature,it is found that the HOBEM based on analytical quadrature is of better accuracy and stability.For the non-wall-sided ship,only the present method can produce reasonable pre-diction of motion responses,while obvious oscillatory phenomenon is observed in the results of the other two numerical methods based on Gauss quadrature.