In this paper, an efficient triple-grid multiscale finite element method (ETMSFEM) is proposed for 3d groundwater simulation in heterogeneous porous media. The main idea of this method is to employ new3dlinearbase ...
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In this paper, an efficient triple-grid multiscale finite element method (ETMSFEM) is proposed for 3d groundwater simulation in heterogeneous porous media. The main idea of this method is to employ new 3d linear base functions and the domain decomposition technique to solve the local reduced elliptical problem, thereby simplifying the basefunction construction process and improving the efficiency. Furthermore, by using the ETMSFEM basefunctions, this method can solve darcy's equation with high efficiency to obtain a continuous velocity field. Therefore, this method can considerably reduce the computational cost of solving for heads and velocities, which is crucial for large-scale 3d groundwater simulations. In the application section, we present numerical examples to compare the ETMSFEM with several classical methods to demonstrate its efficiency and effectiveness. (C) 2017 Elsevier B.V. All rights reserved.
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