An improved FE-Meshfree method for solving steady seepage problems
An improved FE-Meshfree method for solving steady seepage problems
复制标题
求解稳定渗流问题的改进FE-Meshfree方法
DOI：
10.1016/j.compgeo.2019.103223
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发表时间：
2020-03
影响因子：
5.3
通讯作者：
Feng Xia-Ting
中科院分区：
文献类型：
--
作者：
Wang Bin;Li Jianguo;Jiang Quan;Yang Yongtao;Feng Xia-Ting
将有限元法（FEM）和径向点插值法（RPIM）相结合，提出了一种改进的FE-Meshfree方法，旨在获得稳定渗流问题更精确、更稳健的解。本文主要研究了两个方面：第一，将传统的基于单元的离散和装配过程转化为基于支撑域的离散和装配过程，提高了计算结果对网格畸变的容忍度;其次，提出并结合了在边界/界面上插入额外的场节点的自适应过程，其显示出改进的计算精度和稳定性。通过对有压和无压渗流问题的应用，证明了该方法的优越性。
An improved FE-Meshfree method, formulated as a combination of finite element method (FEM) and radial point interpolation method (RPIM), has been proposed in this paper, aiming for obtaining a more accurate and robust solution for steady seepage problems. Two main aspects are mainly investigated: firstly, the traditional cell-based discretization and assembly procedure as normally seen in FEM is replaced by a support domain based one, which potentially improves the computed results with a higher tolerance with the mesh distortion; secondly, an adaptation procedure of inserting extra field nodes on the boundaries/interfaces is proposed and incorporated, which shows an improved computational accuracy and stability. The superiority of the method is demonstrated via some applications to both confined and unconfined seepage problems.
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