Numerical modeling of Boussinesq equations by finite element method
Numerical modeling of Boussinesq equations by finite element method
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DOI：
10.1016/s0378-3839(99)00014-9
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发表时间：
1999-07-01
影响因子：
4.4
通讯作者：
Lai, GZ
中科院分区：
文献类型：
--
作者：
Li, YS;Liu, SX;Lai, GZ
本文采用Beji和Nadaoka [Beji， S., Nadaoka， K.， 1996]推导的改进的Boussinesq方程的数值模型。变深度改进的Boussinesq方程的形式推导和数值模拟。海洋工程，23(8),691-704。采用有限元方法对空间导数进行离散化。两个水平速度分量和水面高程采用线性插值函数的四边形单元。时间积分采用Adams-Bashforth-Moulton预测校正方法进行。采用理论解决方案或实验室结果可用的五个测试案例来测试所提出的方案。该模型在所有情况下都能给出令人满意的预测。(C) 1999 Elsevier Science B.V.版权所有
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.