工程中渗流问题的边界元算法与分析
Analysis and solution to boundary element of seepage in engineering
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摘要: 针对河堤、水坝、高速公路档水墙等存在多孔单元介质中的定常渗流问题,将渗流Laplace方程,通过数学变换转化为边界积分方程,进而离散为线性代数方程组。采用边界元编写FORTRAN程序。计算结果表明:该法与有限元法相比,占用CPU时间短,不需要网格化分,使繁杂问题简单化,同时很好地切近实际。Abstract: Focused on stationary seepage in porous medium of river dike,dam and bulkhead of highway the Laplace equation for solving seepage problem is transferred to the boundary integral equation mathematically in this paper,and then it is dispersed to the linear equation group and worked out using the FORTRAN programmed by boundary element.The results show that the method boasts the superiority to the finite element by its shorter time use of CPU,without meshwork,solution simplification and closer to the practical situation.