Numerical modeling of Boussinesq equations by finite element method

被引：101
|
作者：
Li, YS [1 ]
Liu, SX
Yu, YX
Lai, GZ
机构：
[1] Hong Kong Polytech Univ, Dept Civil & Struct Engn, Hong Kong, Peoples R China
[2] Dalian Univ Technol, State Key Lab Coastal & Offshore Engn, Dalian 116024, Peoples R China
来源：
COASTAL ENGINEERING | 1999年 / 37卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Boussinesq equations; finite element; absorbing boundaries;
D O I：
10.1016/S0378-3839(99)00014-9
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
In this paper, a numerical model based on the improved Boussinesq equations derived by Beji and Nadaoka [Beji, S., Nadaoka, K., 1996. A formal derivation and numerical modeling of the improved Boussinesq equations for varying depth. Ocean Eng. 23 (8), 691-704] is presented. The finite element method is used to discretize the spatial derivatives. Quadrilateral elements with Linear interpolating functions are employed for the two horizontal velocity components and the water surface elevation. The time integration is performed using the Adams-Bashforth-Moulton predictor-corrector method. Five test cases for which either theoretical solutions or laboratory results are available are employed to test the proposed scheme. The model is capable of giving satisfactory predictions in all cases. (C) 1999 Elsevier Science B.V. All rights reserved.
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页码：97 / 122
页数：26
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