求解堤坝渗流场的罚函数无单元法

从变分原理出发,采用罚函数法处理渗流边界条件,推导了用无单元法求解有自由面的堤坝渗流问题的基本方程和迭代格式,给出了罚因子选取的具体表达式,并计算分析了某不透水地基上土坝的稳定渗流场.与电模拟试验成果的比较表明,文中所提出的计算方法和程序是正确的,且应用罚函数无单元法求解堤坝渗流问题,可以得到较高的计算精度和计算效率.

Penalty function element-free method for solving seepage field of embankments

Based on the variational principle,the penalty function method was used for processing boundary condition of seepage flow.The basic equation and iteration form were deduced to deal with the seepage problem of embankments with free surface by use of the element-free Galerkin method,and a formula for selection of the penalty factor was given.Then,the present method was applied to calculation of the steady seepage field of an earth-dam on impermeable foundation.The comparison of the calculated result with that from electrical analogy method shows that the calculation method and program are correct,and that the precision and efficiency of calculation can be improved by the penalty function element-free method.