三维完全非线性波浪水槽的数值模拟

王大国; 邹志利; 唐春安

三维完全非线性波浪水槽的数值模拟

1.
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, 土木水利学院, 辽宁, 大连, 116024
2.
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
3.
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, 土木水利学院, 辽宁, 大连, 116024

基金项目: 国家自然科学基金资助项目(59979002);长江学者和创新团队发展基金资助项目;辽宁省教育厅资助项目(2005058)

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出版历程
- 收稿日期: 2005-09-05
- 修回日期: 2006-03-27

Fully nonlinear three-dimensional numerical wave tank simulation

1.
Research Center for Numerical Tests on Material Failure, Dalian University, Dalian 116622, China;State Key Laboratory of Coastal and Offshore Engineering, Department of Civil Engineering, Dalian University of Technology, Dalian 116024, China;School of Civil and Hydraulic Engineering, Dalian University of Technology, Dalian 116024, China
2.
State Key Laboratory of Coastal and Offshore Engineering, Department of Civil Engineering, Dalian University of Technology, Dalian 116024, China
3.
Research Center for Numerical Tests on Material Failure, Dalian University, Dalian 116622, China;School of Civil and Hydraulic Engineering, Dalian University of Technology, Dalian 116024, China

摘要

摘要: 用有限元求解拉普拉斯方程,建立了三维完全非线性数值波浪水槽.跟踪流体自由表面的方法为满足完全非线性自由表面条件的半拉格朗日法,对离散单元采用20节点的六面体二次等参数单元.并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斯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.
- 拉普拉斯方程 /
- 有限元 /
- 波浪水槽 /
- 完全非线性
Abstract: A fully nonlinear three-dimensional numerical wave tank (NWT) has been simulated by resolving Laplace equation using the finite element method in the time domain, and the fully nonlinear free surface boundary conditions are used to track free surfaces.Hexahedral element and quadratic inter polation function are used.The analytical solution of sloshing waves and the theoretical ones of second-order Stokes wave are conducted to validate the model.The results show that the model is steady and conservative and can be applied to accurately simulating the generation and transmission of nonlinear waves.
- Laplace equation /
- finite element method /
- wave tank /
- full nonlinearity

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参考文献(17)

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