Treatment of transitional element with the Monte Carlo method for FEM-based seepage analysis
Treatment of transitional element with the Monte Carlo method for FEM-based seepage analysis
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DOI：
10.1016/j.compgeo.2013.02.005
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发表时间：
2013-07
影响因子：
5.3
通讯作者：
Y. Jie;Xu-dong Fu;G. Deng
中科院分区：
文献类型：
--
作者：
Y. Jie;Xu-dong Fu;G. Deng
本文将蒙特卡罗方法融入有限元法（FEM）中，进行自由表面渗流分析。对于被自由面切割的过渡单元，用于计算复合渗透系数，以及直接使用蒙特卡罗积分进行积分。这种新算法需要更少的迭代过程来收敛。对于自由表面上下渗透系数存在显着差异的情况，也证明了该方法的收敛性。
In this paper, The Monte Carlo method is incorporated into the finite element method (FEM) to conduct seepage analysis with a free surface. For the transitional element cut by the free surface, it is used to calculate the composite permeability coefficient, as well as to perform the integration directly using Monte Carlo integration. This new algorithm requires less iteration procedures for convergence. The convergence of the method is also proved for cases where there is a significant difference between the permeability coefficient above and below the free surface.