| 适合复杂地形的高阶Boussinesq水波方程 |
| |
| 引用本文： | 邹志利.适合复杂地形的高阶Boussinesq水波方程[J].海洋学报,2001,23(1):109-119. |
| |
| 作者姓名： | 邹志利 |
| |
| 作者单位： | 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 |
| |
| 基金项目： | 国家自然科学基金资助项目(59979002,59679005). |
| |
| 摘 要： | 针对海底坡度较大(量阶为O(1))或海底曲率较大的复杂地形,建立了一个新型高阶Boussinesq水波方程.该方程可用于研究海底存在若干相互平行沙坝引起的Bragg反射问题.方程的水平速度沿水深的分布为四次多项式,色散性和变浅作用性能的精度比经典Boussinesq方程高了一阶.方程在浅水水域可以是完全非线性的.
|
| 关 键 词： | Boussinesq方程 非线性 色散性 |
| 文章编号： | 0253-4193(2001)01-0109-11 |
| 收稿时间： | 1999/8/16 0:00:00 |
| 修稿时间： | 1999年8月16日 |
Higher-order Boussinesq equations for rapidly varying topography |
| |
| ZOU Zhi-li.Higher-order Boussinesq equations for rapidly varying topography[J].Acta Oceanologica Sinica (in Chinese),2001,23(1):109-119. |
| |
| Authors: | ZOU Zhi-li |
| |
| Institution: | State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China |
| |
| Abstract: | A new form of Boussinesq-type equations is developed for the case of wave propagating over a bed with a slope of the magnitude of O (l ) or over rapidly varying topography such as rippled beds. The assumption of mild slope is not used; The formulation of the new equations is the extension to one-order higher than the classical Boussi- nesq equations derived by Peregrine in 1967, the velocity distribution along depth is a fourth polynomial and the ac- curacy of the dispersion and nonlinearity of the new equations is one-order higher than that of the classical Boussineq equations. As an example of application, the new equations are used to consider the Bragg reflection problem. |
| |
| Keywords: | Boussinesq equations nonlinearity dispersion |
| 本文献已被 CNKI 维普 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 |
