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三维完全非线性波浪水槽的数值模拟
引用本文:王大国,邹志利,刘霞.三维完全非线性波浪水槽的数值模拟[J].船舶力学,2010,14(6):577-586.
作者姓名:王大国  邹志利  刘霞
作者单位:大连大学材料破坏力学数值试验研究中心,辽宁,大连,116622;大连理工大学海岸和近海工程国家重点实验室,辽宁大连116024;大连理工大学海岸和近海工程国家重点实验室,辽宁大连,116024;香港大学土木工程系,香港,999077
基金项目:the National Natural Science Foundation of China,the Hong Kong Research Council,the Open Foundation of Hunan Province Key Laboratory of Water & Sediment Science and Water Hazard Prevention,the Project of the Educational Department of Liaoning Province,the Dalian Science and Technology Foundation 
摘    要:用有限元求解拉普拉斯方程,采用满足完全非线性自由表面条件的半拉格朗日法追踪流体自由表面,离散单元采用20节点的六面体二次等参数单元,建立了三维完全非线性数值波浪水槽.把数值计算结果与水面初始升高产生箱体内流体运动解析解和二阶斯托克波理论解进行了对比,结果表明该模型是稳定的、守恒的,能精确模拟非线性波浪的产生和传播,为今后研究非线性波浪对船舶等非规则物体的作用提供了参考.

关 键 词:三维波浪水槽  完全非线性  拉普拉斯方程  有限元

Fully Nonlinear 3-D Numerical Wave Tank Simulation
WANG Da-guo,ZOU Zhi-li,LIU Xia.Fully Nonlinear 3-D Numerical Wave Tank Simulation[J].Journal of Ship Mechanics,2010,14(6):577-586.
Authors:WANG Da-guo  ZOU Zhi-li  LIU Xia
Abstract:A fully nonlinear three-dimensional numerical wave tank (NWT) is simulated by resolving Laplace equation using finite element method in the time domain, and the fully nonlinear free surface boundary conditions are used to track free surfaces.Hexahedral elements and quadratic interpolation functions are used. The analytical solution of sloshing waves and the theoretical one of second-order Stokes wave are conducted to validate the model.The results show that the model is steady and obeys mass conservation,and it can be applied to accurately simulate the generation and propagation of nonlinear waves, which can be extended to study nonlinear waves acting on a ship in the future.
Keywords:three-dimensional wave tank  folly nonlinear  Laplace equation  finite element method
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