Multiscale finite element method–triple grid model for simulation of groundwater flows

XIE Yi-fan; XIE Zhen-ze; WU Ji-chun; ZHANG Wei; XIE Chun-hong; LU Chun-hui

doi:10.11779/CJGE202211014

Volume 44 Issue 11

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Chinese Journal of Geotechnical Engineering > 2022 > 44(11): 2081-2088. > DOI: 10.11779/CJGE202211014

XIE Yi-fan, XIE Zhen-ze, WU Ji-chun, ZHANG Wei, XIE Chun-hong, LU Chun-hui. Multiscale finite element method–triple grid model for simulation of groundwater flows[J]. Chinese Journal of Geotechnical Engineering, 2022, 44(11): 2081-2088. DOI: 10.11779/CJGE202211014

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Multiscale finite element method–triple grid model for simulation of groundwater flows

XIE Yi-fan^{1, 2,},
XIE Zhen-ze^{1, 2},
WU Ji-chun³,
ZHANG Wei⁴,
XIE Chun-hong⁵,
LU Chun-hui^{1, 2, 6, ,}

1.
State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China
2.
College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China
3.
School of Earth Sciences and Engineering, Nanjing University, Nanjing 210023, China
4.
Zhejiang Environmental Technology Co., Ltd., Zhejiang 310012, China
5.
Department of Mathematics, Nanjing University, Nanjing 210093, China
6.
Yangtze Institute for Conservation and Development, Hohai University, Nanjing 210098, China

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Received Date: October 24, 2021
Available Online: December 08, 2022

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Abstract

The traditional finite element method often requires fine element grids to describle the heterogeneity of medium to ensure the accuracy for numerical modeling of groundwater, which leads to a large amount of calculation consumption. The multiscale finite element method can alleviate this problem, but it still needs a high cost to formulate the basis function when dealing with high computational complexity. A multiscale finite element method-triple grid model (MSFEM-T) is proposed for the simulation of groundwater flows. The MSFEM-T introduces an intermediate grid between the coarse grid and the fine grid, so that the basis function in the coarse grid can be established using the MSFEM instead of the FEM based on the intermediate and fine grids, therefore reducing the construction consumption of the basis function and improving the overall calculation efficiency. Moreover, the MSFEM-T uses an over-sampling method based on the coarse, intermediate and fine grids, which can further improve its calculation accuracy. The results show that the accuracy of the MSFEM-T is similar to that of the MSFEM and the finite element method of fine elements (LFEM-F), but the computational efficiency is much higher.
- numerical simulation of groundwater,
- heterogeneity,
- multiscale finite element method,
- basis function,
- over-sampling technique

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