纵荡与升沉耦合激励下晃荡波特性及响应规律研究  

Study on the behavior and response of sloshing wave under the coupled surge and heave excitations

作　　者：金鑫 刘飞飞[4] 邹寅劼 任律 刘名名 李登松 朱红钧[8] JIN Xin;LIU Fei-fei;ZOU Yin-jie;REN Lv;LIU Ming-ming;LI Deng-song;ZHU Hong-jun(College of Energy,Chengdu University of Technology,Chengdu 610059,China;Key Laboratory of Coastal Disaster and Protection,Ministry of Education,Hohai University,Nanjing 210098,China;State Key Laboratory of Hydraulic Engineering Simulation and Safety,Tianjin University,Tianjin 300072,China;Zibo Utilities Service Centre,Zibo 255000,China;Chnia Renewable Energy Engineering Institute,Beijing 100120,China;State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian 116024,China;College of Water Conservancy and Hydropower Engineering,Sichuan Agricultural University,Yaan 625014,China;State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation,Southwest Petroleum University,Chengdu 610500,China)

机构地区：[1]成都理工大学能源学院,成都610059 [2]河海大学,海岸灾害及防护教育部重点实验室,南京210098 [3]天津大学,水利工程仿真与安全国家重点实验室,天津300072 [4]淄博市公用事业服务中心,淄博255000 [5]水电水利规划设计总院,北京100120 [6]大连理工大学,海岸和近海工程国家重点实验室,大连116024 [7]四川农业大学水利水电学院,雅安625014 [8]西南石油大学,油气藏地质及开发工程国家重点实验室,成都610500

出　　处：《水道港口》2021年第3期309-317,共9页Journal of Waterway and Harbor

基　　金：国家自然科学基金(41601011);四川省大学生创新训练计划(201910626060);海岸灾害及防护教育部重点实验室项目(202005);水利工程仿真与安全国家重点实验室项目(HESS-2009);海岸和近海工程国家重点实验室开放基金(LP1912)。

摘　　要：基于有限差分法对Navier-Stokes方程进行数值离散,建立纵荡与升沉耦合激励下流体晃荡三维数值模型,自由液面采用具有二阶精度的流体体积法进行追踪。基于势流理论推导出纵荡与升沉耦合激励下理想流体晃荡解析解,用于验证已建立的数值模型与响应规律分析。该模型也与文献结果进行对比分析,表明该模型能准确地模拟耦合激励下的非线性晃荡问题。理论与数值结果表明:即使单自由度纵荡与升沉激励无法激发明显的波动,即非共振,当激励频率的和值或差值接近流体系统自然频率时,耦合激励也可以激发共振晃荡波;耦合晃荡波与激励频率的关系也通过两组扫频分析得到。A three-dimensional Navier-Stokes model based on the finite difference method was applied to investigate the coupled surge and heave sloshing,and the free surface was captured by the second-order volume-of-fluid method.Based on the linearized potential theory,an analytical solution for the coupled sloshing was derived and applied to validate the present numerical model as well as analyze the free surface response.Rather good agreement was guaranteed through comparison with the available results in literatures.According to the analytical and numerical results,it can be found that the coupled resonant sloshing is triggered when the sum or difference of the two excitation frequencies is close to the system′s natural frequencies even though any single-degree-of-freedom excitation cannot excite resonant wave motion individually.The relationship between the wave height of the coupled sloshing and excitation frequency is obtained through two groups of sweeping tests.

关 键 词：液体晃荡 耦合激励 数值模拟 自由面高程 

分 类 号：U65[交通运输工程—港口、海岸及近海工程] TV142[交通运输工程—船舶与海洋工程]