| 新型波浪方程中类Sommeerfeld积分项的计算方法 |
| |
| 引用本文： | 金红.新型波浪方程中类Sommeerfeld积分项的计算方法[J].科学技术与工程,2011,11(33):8114-8119,8123. |
| |
| 作者姓名： | 金红 |
| |
| 作者单位： | 1. 大连市环境科学设计研究院,大连116023;大连理工大学海岸和近海工程国家重点实验室,大连116024
2. 大连理工大学海岸和近海工程国家重点实验室,大连,116024 |
| |
| 基金项目： | 国家自然科学基金(51009018) |
| |
| 摘 要： | 给出的具有精确色散性的非线性波浪方程,方程中含有类Sommeerfeld积分项。积分项的数值计算是建立基于这一组方程的波浪模型的关键之处。针对这一积分特点,采用分段解析计算方法对这一积分项进行数值求解。数值结果和解析结果进行对比且两者吻合良好,表明这一计算方法是有效的,可用于建立基于上述方程的新型波浪模型。
|
| 关 键 词： | 类Sommeerfeld积分 波浪方程 解析解 |
| 收稿时间： | 8/23/2011 7:36:47 PM |
| 修稿时间： | 9/6/2011 9:27:00 AM |
Evaluation of Sommerfeld-Like integrals in novel wave equations |
| |
| jinhong.Evaluation of Sommerfeld-Like integrals in novel wave equations[J].Science Technology and Engineering,2011,11(33):8114-8119,8123. |
| |
| Authors: | jinhong |
| |
| Institution: | 2 (Dalian Municipal Design and Research Institute of Environmental Science1,Dalian 116023,P.R.China; State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology2,Dalian 116024,P.R.China) |
| |
| Abstract: | A novel nonlinear wave equation with the accurate dispersion is presented by Jin and Zou1]. A Sommeerfeld-like integration term appears in the equation and the accurate evaluation of this term is the most important issue in developing wave model based on this new set of equation. To fulfil this aim, a piecewise integration method is developed to numerically calculate the Sommerfeld term. The numerical results are compared against the analytical solutions and good agreements are found, which demonstrates the efficiency of the proposed method for integration calculation and the method is recommended for use in developing the new wave model |
| |
| Keywords: | |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《科学技术与工程》浏览原始摘要信息 |
| 点击此处可从《科学技术与工程》下载免费的PDF全文 |
|
