节点文献
具有自由边界的二维渗流问题
Free Boundary Problem of the 2D Seepage Flow
【摘要】 渗流的自由边界问题是工程上很受关注的问题.现有的数值分析方法需事先估计边界形态,逐次逼近.本文采用“变分不等式”的模式,结合有限元方法研究有自由边界的渗流问题,在整个结构区域内作有限元剖分,避免了传统的有限元分析中估计自由边界、反复修正计算区域的迭代过程.本文方法为简单而快速地分析渗流自由边界问题提供了一条有效的途径.
【Abstract】 The free boundary of the seepage flow is a problem of close consideration in engineering. So far , an estimation of the wet set region usually needs a priori before the numerical. analysis, and the configuration of the free boundary is then obtained by successive approximat ion. 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 the finite element mesh is generated in the entire domain of the studied media and the free boundary of the seepage region can be defined directly without any process of iteration. The investigation gives a new effective scheme for the seepage flow analysis.
- 【文献出处】 应用数学和力学 ,APPLIED MATHEMATICS AND MECHANICS , 编辑部邮箱 ,1996年06期
- 【分类号】O357.3
- 【被引频次】23
- 【下载频次】188