水利学报2012，Vol.43Issue(3)：372-378,7.
基于有限元求解均质承压水稳定流问题的傅里叶分析方法
Fourier analysis method for steady groundwater flow in homogeneous confined aquifer based on FEM
王佩 1朱国荣 1江思珉 2孙斌堂3
作者信息
- 1. 南京大学水科学系,江苏南京210093
- 2. 同济大学水利工程系,上海200092
- 3. 中国冶金地质工程勘察总局山东局,山东济南250014
- 折叠
摘要
Abstract
Steady groundwater flow problem in homogeneous confined aquifer over regular domain with Dirichlet,Neumann boundary conditions can form 11 kinds of sub-problems.Fourier analysis method（FAM） is used to discrete the above sub-problems and to solve the corresponding sparse linear equations.During Fourier analysis process,FFT algorithm were adopted to calculate all kinds of transform formula and therefore an efficient direct method has been developed for the steady groundwater flow problem.Then a flow model with analytical solution is used to validate the FAM.Further more,inconsideration of various kinds of grid sizes,the paper solve the problems with the FAM and iterative methods（Jacobi,Gauss-Seidel,SOR,and PCG） separately.The calculation results show that with similar precision,the higher the grid sizes are,the more notable is the efficiency of the FAM.Another advantage of this method is that much memory can be saved as the FAM which does not need to compute and storage coefficient matrix for steady groundwater flow problem in homogeneous confined aquifer.关键词
有限元/傅里叶分析方法/快速傅里叶变换/稳定流Key words
FEM/Fourier analysis method/FFT/steady groundwater flow分类
天文与地球科学引用本文复制引用
王佩,朱国荣,江思珉,孙斌堂..基于有限元求解均质承压水稳定流问题的傅里叶分析方法[J].水利学报,2012,43(3):372-378,7.
