| 数值求解 Boussinesq 方程的有限元法 |
| |
| 引用本文： | 柳淑学,李毓湘,等.数值求解 Boussinesq 方程的有限元法[J].水动力学研究与进展(A辑),2000,15(4):399-410. |
| |
| 作者姓名： | 柳淑学 李毓湘 等 |
| |
| 作者单位： | [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]香港理工大学土木及结构工程系,辽宁大连116024 |
| |
| 基金项目： | 国家自然科学基金资助项目!( 594 790 0 6)，国家自然科学基金重点项目!( 19732 0 0 4 ) |
| |
| 摘 要： | 本文基于有限元方法，采用线性单元，通过节点周围单元内的一阶导数的加权平均来确定单元节点上变量的一阶空间导数值，建立了求解Boussinesq方程的数值计算模型，模型中，时间的积分采用Adams-Bashforth-Moulton预报-校正法，对波浪传播情况的计算表明该模型可以给出令人满意的结果。
|
| 关 键 词： | Boussinesq方程 有限元方法 数值模拟 波浪传播 |
Numerical solution of Boussinesq equations with finite element method |
| |
| LIU Shu xue ,YU Yu xiu ,LAI Guo zhang ,Y S LI.Numerical solution of Boussinesq equations with finite element method[J].Journal of Hydrodynamics,2000,15(4):399-410. |
| |
| Authors: | LIU Shu xue YU Yu xiu LAI Guo zhang Y S LI |
| |
| Affiliation: | LIU Shu xue 1,YU Yu xiu 1,LAI Guo zhang 1,Y S LI 2 |
| |
| Abstract: | It this paper, a numerical model for solving the improved Boussinesq equations derived by Beji and Nadaoka 4] is presented. The finite element method was used to discretize the spatial derivatives. Quadrilateral elements with linear interpolating functions were employed for the two horizontal velocity components and the water surface elevation. The time integration was performed using the Adams Bashforth Moulton predictor corrector method. Test cases for which either theoretical solutions or laboratory results are available were used to test the proposed scheme. The model is capable of giving satisfactory predictions in the cases. |
| |
| Keywords: | Boussinesq equations finite element method numerical simulatt |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
