›› 2005, Vol. 26 ›› Issue (4): 505-512.

• Fundamental Theroy and Experimental Research •     Next Articles

Improved Bathe’s algorithm for seepage problems with free surfaces

ZHENG Hong1,2, DAI Hui-chao1, LIU De-fu1   

  1. 1. China Three Gorges University, Yichang 443002, China; 2. Institute of Rock & Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China
  • Received:2004-06-08 Online:2005-04-09 Published:2013-12-19

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Abstract: 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.

Key words: seepage, free boundary problems, Bathe’s algorithm, variational inequality

CLC Number: 

  • O 357.3
  • Please send e-mail to pingzhou3@126.com if you would like to read full paper in English for free. Parts of our published papers have English translations.
  • Please send e-mail to pingzhou3@126.com if you would like to read full paper in English for free. Parts of our published papers have English translations.
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