基于高阶Rankine源法的波物相互作用完全非线性模拟  

Fully Nonlinear Simulation of Wave-Structure Interaction by a Higher-Order Rankine Boundary Element Method

作　　者：孙雷[1] 胡峰 姜胜超[1] 蒋月 罗贤成 刘昌凤 SUN Lei;HU Feng;JIANG Shengchao;JIANG Yue;LUO Xiancheng;LIU Changfeng(School of Naval Architecture,Dalian University of Technology,Dalian 116024,Liaoning,China;College of Ocean and Civil Engineering,Dalian Ocean University,Dalian 116023,Liaoning,China)

机构地区：[1]大连理工大学船舶工程学院,辽宁大连116024 [2]大连海洋大学海洋与土木工程学院,辽宁大连116023

出　　处：《中国海洋平台》2018年第5期22-28,37,共8页China offshore Platform

基　　金：国家自然科学基金面上项目(51679035);国家自然科学基金资助项目(51409039);国家重点基础研究发展计划(2013CB036101);教育部博士点基金(20130041120008);中央高校基本科研业务费(DUT2017TB05);辽宁省教育厅项目(L201601)

摘　　要：采用开敞水域模拟技术和速度势分离技术,基于高阶Rankine源边界元法,在圆域内建立波浪与结构物相互作用的完全非线性数值模型。采用直接计算法求解柯西主值积分,解决速度势法向导数的奇异积分问题。采用混合欧拉-拉格朗日法追踪自由水面,采用跟随式网格技术和曲面网格重构技术捕捉并模拟瞬时自由水面和船体湿表面网格单元。利用该模型对直立圆柱的绕射问题以及具有复杂曲面的Wigley型船的完全非线性水动力响应问题进行模拟。数值模拟与试验数据吻合良好,证明数值模型对非线性波浪与复杂曲面结构船体相互作用的适用性,可为完全非线性波物相互作用问题的相关研究提供参考。Based on the higher-order Rankine boundary element method, a fully nonlinear model for the interaction of water waves and three-dimensional structure in a circular domain is developed using a open sea simulation technique together with a velocity potential separation technique. A direct calculation method is established to deal with the problem of singular inte- grals in the Cauchy principal value. The mixed Euler-Lagrangian method is adopted to track the free surface and a following updating method is utilized to rearrange the element nodes on the instantaneous ship wetted surface and the free surface. With the established model, nu- merical simulation is carried out for wave diffraction around a fixed vertical cylinder and the fully nonlinear hydrodynamic responses of Wigley ship model. The numerical results are in good agreement with experimental data, which proves the applicability of this numerical model to the interaction of nonlinear wave and complex curved structure. And it can be considered as a reference for the relative study of fully nonlinear wave-structure interaction.

关 键 词：开敞水域 完全非线性 柯西积分 网格重构 

分 类 号：TV139.2[水利工程—水力学及河流动力学]