Improved Bathe's algorithm for seepage problems with free surfaces

被引：0
|
作者：
Zheng Hong [1 ,2 ]
Dai Hui-chao [1 ]
Liu De-fu [1 ]
机构：
[1] China Three Gorges Univ, Yichang 443002, Peoples R China
[2] Chinese Acad Sci, Inst Rock & Soil Mech, Wuhan 430071, Hubei, Peoples R China
来源：
ROCK AND SOIL MECHANICS | 2005年 / 26卷 / 04期
关键词：
seepage; free boundary problems; Bathe's algorithm; variational inequality;
D O I：
暂无
中图分类号：
P5 [地质学];
学科分类号：
0709 ; 081803 ;
摘要：
A new variational inequality formulation is proposed for seepage problems with free surfaces. The formulation enforces a Signorini's type of boundary condition on the potential seepage boundaries. The singularity of the seepage points is hence eliminated theoretically; and the location of the seepage points is also determined. Meanwhile, through replacing the step Heaviside function with a continuous Heaviside function dependent on a mesh parameter during discretization, the mesh dependency inherent in Bathe's algorithm is overcome and the numerical stability is significantly improved.
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页码：505 / 512
页数：8
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