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)

计量
- 文章访问数: 885
- HTML全文浏览量: 3
- PDF下载量: 1054
- 被引次数: 0
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

HTML全文

参考文献(17)

HIRT C W,NICHOLS B D,ROMERO N C.SOLA-A numerical solution algorithm for transient fluid flows.Los Alamos Scientific Laboratory Report LA-5852[R].1975.

NICHOLS B D,HIRT C W.Volume of fluid method for the dynamics of free boundaries[J].Journal of Computational Physics,1981,39:201-225.

WANG Yong-xue,Sy T C.Numerical simulation of breaking waves against vertical wall[A].Proc of 2nd Int of Offshore and Polar Eng Conf[C].San Francisco,Calif.1992.139-145.

王永学.VOF方法数值直墙式建筑物前的波浪破碎过程[J].自然科学进展——国家重点实验室通讯,1993,3:553-559.

邹志利,邱大洪,王永学.VOF方法模拟波浪槽中二维非线性波[J].水动力学研究与进展,1996,11(1):93-103.

邹志利.高阶Boussinesq水波方程[J].中国科学(E辑),1997,27:460-473.

邹志利.适合复杂地形的高阶Boussinesq水波方程[J].海洋学报,2001,22:114-124.

王大国,邹志利.系泊船非线性波浪力时域计算:二维模型[J].海洋学报,2004,26(2):104-117.

SUN Da-peng,LI Yu-cheng,TENG Bin.Three-dimensional boundary element method applied to nonlinear wave transformation[J].China Ocean Engineering,1999,13:163-170.

ZHANG Xiao-tu,TENG Bin,NING De-zhi.Simulation of fully nonlinear 3-D numerical wave tank[J].China Ocean Engineering,2004,18:59-68.

WU Guo-xiong,TAYLOR E R.Finite element analysis of two-dimensional nonlinear transient water waves[J].Applied Ocean Research,1994,16:363-372.

WU Guo-xiong,TAYLOR E R.Time stepping solutions of the two-dimensional nonlinear wave radiation problem[J].Ocean Engng,1995,22:785-798.

TURNBULL M S,BORTHWICK A G L,TAYLOR Eatock R.Wave-structure interaction using coupled structured-unstructured finite element meshes[J].Ocean Engng,1995,22:785-798.

章本照.流本力学中的有限元方法[M].北京:机械工业出版社,1986.

LIN Peng-zhi,LI Chi-wai.A σ-coordinate three-dimensional numerical model for surface wave propagation[J].International Journal for Numerical Methods in Fluids,2002,38:1 045-1 068.

WEI Ge,KIRBY T.Time-dependent numerical code for extended Boussinesq equation[J].J Waterway,Port,Coast and Oc Eng,ASCE,1995,121:618-261.

柳淑学,俞聿修,赖国璋,等.数值求解Boussinesq方程的有限元法[J].水动力学研究与进展,2000,15:399-410.

施引文献

资源附件(0)

访问统计