Modified Multiscale Finite-Element Method for Solving Groundwater Flow Problem in Heterogeneous Porous Media
Publication: Journal of Hydrologic Engineering
Volume 19, Issue 8
Abstract
The purpose of this paper is to modify the multiscale finite-element method (MSFEM) to solve groundwater flow problems in heterogeneous porous media, such as large-scale problems, long-term prediction problems, and nonlinear problems. The MSFEM has been developed to deal with flows in heterogeneous porous media. Many practical works and numerical simulations have been done to show its accuracy. However, for the large-scale or long-term prediction problems, the MSFEM needs a great amount of computational cost in constructing base functions, which is not efficiency. The primary feature of our modified MSFEM (MMSFEM) is to use a new coarse element subdivision to reduce the number of the interior nodes, thus to decrease the unknowns in the reduced elliptic problems to save much computational cost while ensuring computational accuracy. Some numerical experiments in this paper indicate that the MMSFEM can reduce more than 90% of CPU time of the MSFEM.
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Acknowledgments
This study is financially supported by the National Science Fund for Distinguished Scholars (No. 40725010) and the National Natural Science Foundation of China (No. 41030746).
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Published In
Journal of Hydrologic Engineering
Volume 19 • Issue 8 • August 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jul 2, 2013
Accepted: Jan 2, 2014
Published online: May 22, 2014
Published in print: Aug 1, 2014
Discussion open until: Oct 22, 2014
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