土石坝渗流分析中的Chebyshev谱元法  

A Chebyshev Spectral Elements Method for Earth Dam Seepage Analysis

作　　者：常明媛[1] 宋子亨[1] 李南生[1] 牛永昌[1] 

机构地区：[1]同济大学水利工程系,上海200092

出　　处：《南水北调与水利科技》2011年第1期169-172,共4页South-to-North Water Transfers and Water Science & Technology

摘　　要：基于谱元法理论,对土石坝一维二维渗流问题进行了理论分析。首先建立了与土石坝渗流微分方程初边值问题等价的积分形式,选取Chebyshev多项式作为函数插值的基函数,得出渗流问题的离散矩阵方程。然后采用与有限元相似的方法集成整体系数矩阵,根据不同的边界条件,最终计算得到结点水头列阵{h},通过谱插值点来求出整个土石坝各点的水头值。Based on the theory of spectral elements method,this paper theoretically analyzed the issue of earth dam seepage under both one-dimensional and two-dimensional conditions. First, an integral form about the seepage problem was set up; then, the discrete matrix equations were formed by using Chebyshev polynomials as the basis function and the global coefficient matrix was formed in the way used in the finite-element method. Finally,according to different types of boundary conditions,water head linear array { h} was calculated and the whole dam＇s water head was educed from this linear array.

关 键 词：谱元法 渗流 切比雪夫多项式 有限元 

分 类 号：TV139.1[水利工程—水力学及河流动力学] TV641