完全非线性深水波的数值模拟

周斌珍; 宁德志; 滕斌; 宋伟华

完全非线性深水波的数值模拟

1.
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
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;上海交通大学海洋工程国家重点实验室, 上海 200030

基金项目: 国家自然科学基金(50709005;50921001);上海交通大学海洋工程国家重点实验室开放基金(0901);中央高校基本科研业务费专项资金(DUT10JN03)。

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出版历程
- 收稿日期: 2009-10-11

The numerical simulation of fully nonlinear deep-water waves

1.
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
2.
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;State Key Laboratory of Ocean Engineering, Shanghai Jiaotong University, Shanghai 200030, China

摘要

摘要: 基于势流理论,并结合深水波质点运动从水面向下呈e指数衰减的特性,建立了完全非线性数值变深水槽模型,通过实时模拟活塞式造波机运动来产生波浪。采用时域高阶边界元法进行模拟,利用混合欧拉-拉格朗日方法和四阶Runge-Kutta方法追踪流体瞬时水面,应用镜像格林函数消除了水槽两个侧面的积分,在水槽末端布置人工阻尼层来消除反射波浪。利用GMRES加速算法,提高了计算效率。利用所建模型对深水波进行了模拟研究,得到了稳定的波形,在造波板运动幅值较小时,与线性解析结果吻合良好;当造波板运动幅值较大时,体现出波浪的非线性特性。利用所建模型研究了造波板所在位置(上部台阶)水深对生成波浪高度的影响,由此可以选择合适的造波板所在位置水深及造波板运动幅值来得到所需要的深水波浪。
- 造波板运动 /
- 数值变深水槽 /
- 完全非线性 /
- 高阶边界元 /
- 深水波
Abstract: Based on the potential theory and the particle velocity decreasing exponentially with the increasing of the water depth for the deep-water waves, a fully nonlinear numerical variable deep wave flume model was developed. Waves generated by a piston wave maker were real-time simulated. The model is developed using a time domain higher-order boundary element method (HOBEM). A mixed Eulerian-Lagrangian technology and a 4th-order Runge-Kutta scheme are utilized to track the free surface. Image Green function is used in the whole fluid domain so that the integration on lateral surfaces are excluded. An artificial damping layer is distributed at the end of the flume to eliminate wave reflection. The GMRES accelerated algorithm is utilized to improve calculation efficiency. Numerical experiments are carried out to model the deep water waves. Steady wave profiles are obtained and good agreements between numerical solutions and analytical solutions are obtained for the small motion amplitude of the wave maker.Wave nonlinear features are shown for the large motion amplitude.the numerical experiments are also carried out to study the influence of the water depth at the upper step on the generated wave height.According to the proposed numerical simulation, the suitable water depth at the up step and the motion amplitude of the wave maker can be derived to get the required wave in deep water.
- wave maker motion /
- numerical wave tank /
- fully nonlinear /
- higher-order boundary element method /
- deep water waves

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参考文献(17)

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