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海岸河口三维潮流数学模型
引用本文:卢启苗.海岸河口三维潮流数学模型[J].海洋工程,1995(4).
作者姓名:卢启苗
作者单位:南京水利科学研究院
摘    要:本文采用有限元法建立了适用于海岸河口浅水地区的三维潮流数学模型,垂向采用绝对分层坐标系统,将整个水柱分成若干层,在每层内通过垂向积分平均,将三维问题简化为多个平面二维问题。在求解有限元方程中,引入集中质量矩阵技术,在时间上采用两步LaxWendroff格式,使有限元方程直接以显式解出,不需联立求解,节省了大量的计算时间和计算内存,通过模拟表面切应力作用在矩形水地上而引起的水流,计算结果与分析解比较一致,并将本模型应用到香港维多利亚水道中,计算结果与实测值亦符合较好,证明本模型是一个实用而有效的三维潮流数学模型。

关 键 词:数学模型,有限元法,三维潮流运动,海岸工程

THREE DIMENSIONAL TIDAL FLOW NUMERICAL MODEL FOR COASTAL AND ESTURINE SHALLOW WATERS
Lu Qimiao.THREE DIMENSIONAL TIDAL FLOW NUMERICAL MODEL FOR COASTAL AND ESTURINE SHALLOW WATERS[J].Ocean Engineering,1995(4).
Authors:Lu Qimiao
Abstract:This paper develops the three dimensional numerical model for coastal and esturine shallow waters bv applying the finite element method, in which three dimensional problems are reduced into multiple-level two dimensional problems by using vertical integration of each layer. Applying the lumping mass matrix and Lax-Wendroff time scheme ,the solution of the finite element equations has been found to be more stable and can also save significant amount of running time and computer storage. By simulation the circulation of flow in the rectangle basin induced by wind and real-life application of Victoria channel, the computing results are correlated well with the analytic results and observed results.
Keywords:numerical model  finite element method  tidal flow  coastal engineering  
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