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用罚函数无单元法分析有自由面的稳定渗流场
引用本文:沈振中,陈小虎,孙粤琳. 用罚函数无单元法分析有自由面的稳定渗流场[J]. 西安石油大学学报(自然科学版), 2007, 22(2): 92-95
作者姓名:沈振中  陈小虎  孙粤琳
作者单位:河海大学,水利水电工程学院,江苏,南京,210098
基金项目:河海大学校科研和教改项目;江苏省南京市留学回国人员科研项目
摘    要:详细推导了无单元Galerkin法求解有自由面渗流问题的基本方程.采用罚函数法处理渗流边界条件,并给出选取罚因子的具体表达式.编制了相应的无单元法计算程序,并计算了覆盖层上均质土坝的渗流场.计算结果表明,用罚函数法处理渗流边界条件,计算精度高,该法用于无单元法分析渗流问题是可行的.

关 键 词:渗流  自由面  无单元法  罚函数法
文章编号:1673-064X(2007)02-0092-04
修稿时间:2006-11-08

Analysis of the steady seepage field with free surface using element-free Galerkin method
SHEN Zhen-zhong,CHEN Xiao-hu,SUN Yue-lin. Analysis of the steady seepage field with free surface using element-free Galerkin method[J]. Journal of Xian Shiyou University, 2007, 22(2): 92-95
Authors:SHEN Zhen-zhong  CHEN Xiao-hu  SUN Yue-lin
Abstract:The basic equations for solving the seepage flow with free surface are derived based on element-free Galerkin method.The boundary of the seepage flow field is successfully processed using penalty function method,and the formula for determining the penalty factor is presented.In addition,the corresponding program is complied for the method.As an example,the seepage field in the homogeneous earth dam above overburden is solved using the program.It is shown that it is feasible to process the boundary of the seepage field using the penalty function method,and the calculation result has high accuracy.
Keywords:seepage flow  seepage free surface  element-free method  penalty function method
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