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Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (6): 549-554.

• 论文 • 上一篇    下一篇

FREE BOUNDARY PROBLEM OF THE 2D SEEPAGE FLOW

佘颖禾, 孙鹰, 郭小明   

  1. Department of Mathematics and Mechanics, Southeast University, Nanjing 210096, P. R. China
  • 收稿日期:1994-05-30 修回日期:1995-12-04 出版日期:1996-06-18 发布日期:1996-06-18

FREE BOUNDARY PROBLEM OF THE 2D SEEPAGE FLOW

She Yinghe, Sun Ying, Guo Xiaoming   

  1. Department of Mathematics and Mechanics, Southeast University, Nanjing 210096, P. R. China
  • Received:1994-05-30 Revised:1995-12-04 Online:1996-06-18 Published:1996-06-18

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摘要： The free boundary of the seepage flow is a problem of close consideration inengineering. So far. an estimation of the wet set region usually needs a priori beforethe numerical analysis. and the configuration of the free boundary is then obtained bySuccessive approximation, The authors of this paper benefit from a new mathematical expression——The variational Inequality——to formulate the free boundary problem,which is then solved by the finite element method Instead of the conventional way of discretization, here finite element mesh is generated in the entere domain of thestudied medin and the free boundary of the seepage region can be defined directlywithout any process of iteration. The investigation gives a new effective scheme for the seepage flow analysis.

关键词: scepagc flowvariational inequality, finite element method

Abstract: The free boundary of the seepage flow is a problem of close consideration inengineering. So far. an estimation of the wet set region usually needs a priori beforethe numerical analysis. and the configuration of the free boundary is then obtained bySuccessive approximation, The authors of this paper benefit from a new mathematical expression——The variational Inequality——to formulate the free boundary problem,which is then solved by the finite element method Instead of the conventional way of discretization, here finite element mesh is generated in the entere domain of thestudied medin and the free boundary of the seepage region can be defined directlywithout any process of iteration. The investigation gives a new effective scheme for the seepage flow analysis.

Key words: scepagc flowvariational inequality, finite element method

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