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求解渗流自由面的一种新方法
引用本文:党发宁,王晓章,耿旭光,王宙宇.求解渗流自由面的一种新方法[J].水力发电学报,2004,23(6):88-91.
作者姓名:党发宁  王晓章  耿旭光  王宙宇
作者单位:1. 西安理工大学岩土所,西安,710048
2. 中南勘测设计研究院,长沙,410014
3. 石嘴山市水务局,石嘴山市,753000
基金项目:国家自然科学基金资助项目(10372078),陕西省教育厅专项科研计划项目(01JK139)
摘    要:提出了确定稳定、非稳定渗流自由面的变单元渗透系数法,该法在自由面的可能范围内加密网格,根据自由面以上的结点水头小于其位置势的事实,变化自由面以上单元的渗透系数,迭代求出自由面的位置。属于固定网格法,只需进行一次网格剖分,不人为干涉计算过程,完全通过程序迭代即可准确地求出自由面的边界。算例计算表明,该法具有程序处理简单,用户操作方便,计算结果准确等特性,一般迭代收敛很快。可应用于稳定和非稳定渗流自由面的计算。

关 键 词:渗流力学  变单元渗透系数法  有限元  固定网格  自由面
修稿时间:2004年3月23日

A new method to solve seepage free surface
DANG Faning ,WANG Xiaozhang ,GENG Xuguang ,WANG Zhouyu.A new method to solve seepage free surface[J].Journal of Hydroelectric Engineering,2004,23(6):88-91.
Authors:DANG Faning  WANG Xiaozhang  GENG Xuguang  WANG Zhouyu
Affiliation:DANG Faning 1,WANG Xiaozhang 2,GENG Xuguang 3,WANG Zhouyu 3
Abstract:Change element seepage coefficient method is suggested to determine the free surfaces of stable seepage and unstable seepage. This method refines the grid mesh in the possible range of free surface. As the nodes water head above the seepage face is lower than it's position potential, the position of free surface is confirmed by change the elements seepage coefficient above the free surface. The fixed grid mesh method is only needed to make once mesh grid and isn't intervented to calculation process. The free surface can be calculated precisely through program iteration. The examples show that this method is simple in compiler program, the operation is facile and the calculation is precise, etc. Convergence of this method is very quickly. It is suitable for stable and unstable seepage analysis.
Keywords:seepage mechanics  change element seepage coefficient method  finite element method  fixed grid  free surface
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