岩土工程学报2012,Vol.34Issue(2):202-209,8.
利用初流量法分析有自由面渗流问题之改进
Improvement of analysis of free surface seepage problem by using initial flow method
摘要
Abstract
When the initial flow method is applied in solving problems of fi'ee surface seepage, we often find an oscillating solution determined due to the error caused by taking the Gaussian integration points as the assumed nodes based on calculation of nodal initial flow. In order to reduce the impact of this factor and to improve the efficiency of computation, an analysis is made with the free surface equation commonly used by 4-node plane elements and 8-node 6-plane three-dimensional elements, a technique of transformation of coordinates as well as isoparameters is proposed to improve the calculation of the nodal initial flow, and an introduction of partial integration is also suggested according to the state of free surface penetrating elements, making the integration upper limit and lower limit in consistence with the formatting of the Gaussian requirements. Accordingly, an exact nodal initial flow integration will be obtained by using the Gaussian method, and this accurate nodal initial flow will then benefit the itself improvement of the oscillating solution and increase the precision of the calculation. Through the analysis of a homogeneous rectangular case, it is shown that a fair state of stability and convergence has been achieved by using the proposed improved method.关键词
初流量法/有自由面渗流/高斯积分法/固定网格Key words
initial flow method/unconfined seepage/Gaussian integration method/fixed mesh分类
建筑与水利引用本文复制引用
潘树来,王金凤,俞缙..利用初流量法分析有自由面渗流问题之改进[J].岩土工程学报,2012,34(2):202-209,8.基金项目
国家自然科学基金项目(51109084) (51109084)
高等学校博士学科点专项科研基金项目(200803850001) (200803850001)
福建省自然科学基金项目(2011J01317):中国矿业大学深部岩土力学与地下工程国家重点实验室开放基金项目(SKLGDUEK1012):泉州市科技计划项目(2010281) (2011J01317)