[1]李凌,王东东.饱和土体中稳态渗流的高效无网格分析[J].华侨大学学报(自然科学版),2008,29(1):84-87.[doi:10.11830/ISSN.1000-5013.2008.01.0084]
　LI Ling,WANG Dong-dong.An Efficient Meshfree Method for Steady Seepage Analysis in Saturated Soils[J].Journal of Huaqiao University(Natural Science),2008,29(1):84-87.[doi:10.11830/ISSN.1000-5013.2008.01.0084]
点击复制

饱和土体中稳态渗流的高效无网格分析()
分享到：

《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第29卷
期数:
2008年第1期
页码:
84-87
栏目:
出版日期:
2008-01-20

文章信息/Info

Title:
An Efficient Meshfree Method for Steady Seepage Analysis in Saturated Soils
文章编号:
1000-5013(2008)01-0084-04
作者:
李凌; 王东东
厦门大学建筑与土木工程学院; 厦门大学建筑与土木工程学院 福建厦门361005; 福建厦门361005
Author(s):
LI Ling;  WANG Dong-dong
School of Architecture and Civil Engineering, Xiamen University, Xiamen 361005, China
关键词:
稳态渗流;  Galerkin无网格法;  稳定节点积分;  饱和土体
Keywords:
steady seepage;  Galerkin meshfree method;  stabilized conforming nodal integration;  saturated soils
分类号:
TU46
DOI:
10.11830/ISSN.1000-5013.2008.01.0084
文献标志码:
A
摘要:
利用稳定节点积分思想,构造一种求解饱和土体中稳态渗流问题的快速Galerkin无网格方法.该方法通过建立非局部光滑节点水力梯度,具有节点积分高效的特点,同时避免形函数在节点上直接求导,为稳态渗流分析提供有效的稳定保障.均匀渗流与自由面渗流算例的计算结果表明,该方法分析渗流问题高效且准确,能精确模拟任意均匀渗流场,在求解自由面迭代问题时,能避免有限元求解迭代问题时重划网格的工作,迭代收敛速度快.
Abstract:
An efficient Galerkin meshfree method using the technique of stabilized conforming nodal integration is presented for the steady Darcy seepage analysis in saturated soil media.In this method,the seepage stiffness is integrated nodally with a smoothed nodal hydraulic gradient.This smoothed gradient is obtained as a volume average of the hydraulic gradient in the associated nodal representative domain.No derivatives of the meshfree shape functions are involved in the whole computation process.It turns out that,this method exactly meets the integration constraint for linear exactness,which corresponds to the requirement to reproduce the solution of uniform seepage problems regardless of meshfree discretization patterns.Both computational efficiency and stability are achieved.Two case numerical tests,the uniform seepage problem and the free surface seepage problem,demonstrated that the present method is very accurate and also fast convergent.

参考文献/References:

[1] 毛昶熙. 渗流计算分析与控制 [M]. 北京:中国水利水电出版社, 2003.
[2] LI S, LIU W K. Meshfree and particle methods and their applications [J]. Applied Mechanics Reviews, 2002(1):1-34.doi:10.1115/1.1431547.
[3] 王东东. 边坡大变形损伤破坏的高效无网格模拟 [J]. 岩土力学, 2007, (z1):348-353.
[4] 曾清红, 卢德唐, 齐岩. 无网格方法求解稳定渗流问题 [J]. 计算力学学报, 2003(4):440-445.doi:10.3969/j.issn.1007-4708.2003.04.010.
[5] 葛锦宏, 李广信, 介玉新. 无单元法在有自由面渗流计算中的应用 [J]. 计算力学学报, 2003(2):142-144.doi:10.3969/j.issn.1007-4708.2003.02.022.
[6] CHEN J S, WU C T, YOON S, YOU Y. A stabilized conforming nodal integration for Galerkin meshfree methods [J]. International Journal for Numerical Methods in Engineering, 2001(2):435-466.doi:10.1002/1097-0207(20010120)50:2< 435::AID-NME32> 3.0.CO; 2-A.
[7] WANG Dong-dong, CHEN J S. Locking free stabilized conforming nodal integration for meshfree Mindlin-Reissner plate formulation [J]. Computer Methods in Applied Mechanics and Engineering, 2004, (12-14):1065-1083.
[8] WANG Dong-dong, DONGS B, CHEN J S. Extended meshfree analysis of transverse and inplane loading of a lam-inated anisotropic plate of general planform geometry [J]. International Journal of Solids and Structures, 2006(1):144-171.doi:10.1016/j.ijsolstr.2005.03.068.
[9] WANG Dong-dong, CHEN J S. A locking-free meshfree curved beam formulation with the stabilized conforming nodal integration [J]. Computational Mechanics, 2006(1):83-90.
[10] CHEN J S, WANG Dong-dong. A constrained reproducing kernel particle formulation for shear deformable shell in Cartesian coordinates [J]. International Journal for Numerical Methods in Engineering, 2006(2):151-172.doi:10.1002/nme.1701.

备注/Memo

备注/Memo:
福建省自然科学基金资助项目(D0710023)
更新日期/Last Update: 2014-03-23