| 基于Boussinesq水波模型的聚焦波模拟 |
| |
| 引用本文： | 刘必劲,张振伟,刘忠波,傅丹娟,陈小云.基于Boussinesq水波模型的聚焦波模拟[J].海洋学报,2021,43(3):31-39. |
| |
| 作者姓名： | 刘必劲 张振伟 刘忠波 傅丹娟 陈小云 |
| |
| 作者单位： | 厦门理工学院 土木工程与建筑学院,福建 厦门 361024;大连海事大学 交通运输工程学院,辽宁 大连 116026 |
| |
| 基金项目： | 国家自然科学基金(51779022,51579034);2019年度福建省海洋经济发展补助资金项目(FJHJF-L-2019-8)。 |
| |
| 摘 要： | 基于最高导数为3阶的单层Boussinesq方程，建立了聚焦波的时域波浪计算模型。数值模型求解采用了预报?校正的有限差分法。对于时间差分格式，预报和校正分别采用3阶Adams-Bashforth格式和4阶Adams-Moulton格式。首先，针对不同水深条件下水槽中传播的强非线性波进行模拟，并将数值结果与流函数的数值解析解进行了比较，结果表明无论是波面位移、波面处的水平速度和垂向速度均与解析解符合较好，最大波峰面的速度分布伴随水深的增加与解析解吻合程度变差，非线性速度分布的适用范围与线性解析解适应范围kh<3.5基本一致。其次，对深水聚焦波演化进行了模拟研究，研究中聚焦波的生成采用在边界点累加不同频率线性规则波的方法。应用聚焦波物理模型实验结果验证模型，计算聚焦位置处的波面位移和沿水深的速度分布与实验结果的对比表明，波面位移吻合程度较好，垂向的水平速度分布基本吻合。最后，保持中心频率(周期)不变，数值模拟了周期范围变化下最大聚焦波峰面以及波峰面水平速度的变化趋势，结果表明波峰面值和波峰面水平速度随着周期范围缩小而增大。
|
| 关 键 词： | Boussinesq数值模型 聚焦波 波面位移 速度分布 |
| 收稿时间： | 2020-01-17 |
Simulating the evolution of a focused wave group by a Boussinesq-type model |
| |
| Liu Bijin,Zhang Zhenwei,Liu Zhongbo,Fu Danjuan,Chen Xiaoyun.Simulating the evolution of a focused wave group by a Boussinesq-type model[J].Acta Oceanologica Sinica (in Chinese),2021,43(3):31-39. |
| |
| Authors: | Liu Bijin Zhang Zhenwei Liu Zhongbo Fu Danjuan Chen Xiaoyun |
| |
| Institution: | 1.School of Civil Engineering and Architecture, Xiamen University of Technology, Xiamen 361024, China2.Transportation Engineering College, Dalian Maritime University, Dalian 116026, China |
| |
| Abstract: | Based on the one-layer Boussinesq model with highest spatial derivative being 3,a numerical model is established for focused wave group.The numerical model is solved with predictor-corrector scheme in finite differential method.For time integration,a third-order Adams-Bashforth scheme and a fourth-order Adams-Moulton scheme are separately used in predicting stage and correcting stage.Firstly,the numerical simulations are carried out upon nonlinear regular wave evolution over a constant water-depth in a flume,and the computed results are compared with the semi-analytical solutions.The results demonstrate that the simulated surface elevations,the horizontal velocity and vertical velocity on the free surface can well match the related analytical solutions,while the agreement of the horizontal velocity profile under the crest becomes worse with the increase of water-depth,and the range of the model with respect to nonlinear horizontal velocity profile is for kh<3.5,which is similar to the range of the related linear model with respect to horizontal velocity profile.Secondly,the numerical simulations are conducted upon the nonlinear focused wave group evolution in deep-water.The linear wave groups are used as incident wave conditions.The laboratory experiments conducted by Baldock and Swan(1996)are used to examine the present model.Both the computed surface elevations and the horizontal velocity profile at the focused position are compared with the related experimental data.The results show that the agreement of the surface elevations is pretty good,while the agreement of the horizontal velocity profile is moderate.Finally,with the middle frequency being kept unchanged,the numerical simulations upon the maximum surface elevation and horizontal velocity under the crest are conducted with the variation of the range of focused wave period,the results show that both the crest and the horizontal velocity increase with the increase of the range of the wave periods. |
| |
| Keywords: | Boussinesq model focused wave surface elevations velocity profile |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《海洋学报》浏览原始摘要信息 |
| 点击此处可从《海洋学报》下载免费的PDF全文 |
|
