有排水孔的三维渗流场的有限元—边界元耦合分析  

Application of coupled FEM-BEM analysis for three dimensional seepage with drainage holes

作　　者：张有天[1] 陈平[1] 王镭[1] 

机构地区：[1]水利水电科学研究院

出　　处：《水利学报》1989年第5期30-38,共9页Journal of Hydraulic Engineering

摘　　要：排水孔常被用来减少水工建筑物的扬压力。由于排水孔的尺寸相对甚小,致使有排水孔的三维渗流场分析十分困难。本文建议用有限元方法-边界元方法的耦合法来解决这一问题。用有限单元离散研究域;有排水孔的单元作为特殊单元处理;用边界元方法求特殊单元的传导矩阵。排水孔的尺寸效应问题由此得到较好的解决。由于边界元域只是有限元网格中的一个单元,因而并不增加有限元总传导矩阵的带宽。本文给出了用建议方法分析重力坝坝基三维渗流场的算例。Drainage holes are often used for reducing the uplift pressure acting on hydraulic structures. Three dimensional seepage analysis with drainage holes is difficult due to its quite small relative dimensions. For solving the problem a coupled FEM-BEM analysis is proposed in this paper. The element with drainage holes s treated as a special element, the conductivity matrix of which can be obtained by BEM. The dimension effect is solved satisfactorily. The bandwidth of assembly conductivity matrix is the same as FEM analysis because of the BEM domain is only one element of FE mesh. A three dimensional seepage analysis of gravity dam foundation by using the proposed method is given as an example.

关 键 词：排水孔 渗流场 耦合法 

分 类 号：TV139.1[水利工程—水力学及河流动力学]