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Combination of Multiscale Finite-Element Method and Yeh’s Finite-Element Model for Solving Nodal Darcian Velocities and Fluxes in Porous Media
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.
Combination of Multiscale Finite-Element Method and Yeh’s Finite-Element Model for Solving Nodal Darcian Velocities and Fluxes in Porous Media
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.
Combination of Multiscale Finite-Element Method and Yeh’s Finite-Element Model for Solving Nodal Darcian Velocities and Fluxes in Porous Media
Xie, Yifan (author) / Wu, Jichun (author) / Xue, Yuqun (author) / Xie, Chunhong (author)
2016-08-18
Article (Journal)
Electronic Resource
Unknown
Cubic-Spline Multiscale Finite Element Method for Solving Nodal Darcian Velocities in Porous Media
| Online Contents | 2015
| British Library Online Contents | 2014