Combination of Multiscale Finite-Element Method and Yeh’s Finite-Element Model for Solving Nodal Darcian Velocities and Fluxes in Porous Media
Publication: Journal of Hydrologic Engineering
Volume 21, Issue 12
Abstract
Based on the multiscale finite-element method (MSFEM) and Yeh’s finite-element model, this paper proposes a MSFEM–Yeh model (MSFEM-Y) for solving nodal Darcian velocities in porous media. The main idea of this method is to solve Darcy’s law directly by MSFEM so as to obtain continuous coarse-scale velocities with high efficiency, while ensuring the mass conservation is satisfied to an acceptable degree. The MSFEM features allow this method to obtain fine-scale velocities directly by an interpolation equation, which only consists of coarse-scale velocities and base functions. Because the base functions have been constructed in head computation, the computation of fine-scale velocities does not need much cost. Furthermore, MSFEM-Y also ensures the continuity of fluxes, so that the MSFEM-Y fluxes are more accurate than those obtained by the original MSFEM. Numerical experiments indicate that the MSFEM-Y can achieve more accurate heads, velocities, and fluxes with high efficiency.
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Acknowledgments
This study is financially supported by the National Natural Science Foundation of China Xinjiang Project (No. U1503282), the National Natural Science Foundation of China (No. 41030746), and China Postdoctoral Science Foundation (No. 2016M591826).
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Published In
Journal of Hydrologic Engineering
Volume 21 • Issue 12 • December 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Oct 3, 2015
Accepted: Jul 12, 2016
Published online: Aug 18, 2016
Published in print: Dec 1, 2016
Discussion open until: Jan 18, 2017
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