岩土工程学报2015，Vol.37Issue(9)：1727-1732,6.DOI:10.11779/CJGE201509023
一种模拟节点达西渗透流速的三次样条多尺度有限单元法
Cubic-spline multiscale finite element method for simulation of nodal Darcy velocities in aquifers
摘要
Abstract
A cubic-spline multiscale finite element method (MSFEM-C) is proposed for the simulation of nodal Darcy velocities in the heterogeneous media. The main goal of this method is to efficiently solve the hydraulic heads and nodal Darcy velocities. It is realized by the combination of cubic-spline technique and the multiscale finite element method (MSFEM). MSFEM-C applies cubic-spline technique to multiscale base functions so as to make their derivatives continuous. Therefore, the continuous derivatives of hydraulic head can be obtained, which ensures the continuity of the velocity field. The MSFEM-C is based on MSFEM, so that the computation of nodal Darcy velocities is decomposed from element to element. Therefore, MSFEM-C can save much computational cost, which makes it more efficinent in solving high computational problems, such as large-scale, long-term or nonlinear problems. The numerical experiments indicate that the MSFEM-C achieves accurate nodal Darcy velocities and hydraulic heads with much less computational cost.关键词
三次样条法/多尺度有限单元法/非均质/地下水流数值模拟Key words
cubic-spline technique/multiscale finite element method/heterogeneous medium/groundwater numerical simulation分类
建筑与水利引用本文复制引用
谢一凡,吴吉春,薛禹群,谢春红..一种模拟节点达西渗透流速的三次样条多尺度有限单元法[J].岩土工程学报,2015,37(9):1727-1732,6.基金项目
国家杰出青年科学基金项目(40725010) （40725010）
国家自然科学基金项目(41030746) （41030746）
