Local and parallel finite element methods for the mixed Navier–Stokes/Darcy model |
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| Authors: | Guangzhi Du Liyun Zuo |
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| Affiliation: | 1. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China;2. Center for Computational Geosciences, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China |
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| Abstract: | In this paper, the mixed Navier–Stokes/Darcy problem which describes a fluid flow filtrating through porous media is considered. Based on two-grid discretizations, two local and parallel finite element algorithms for solving this mixed model are proposed. Numerical analysis and experiments are presented to show the efficiency and effectiveness of the local and parallel finite element algorithms. |
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| Keywords: | Navier–stokes equations Darcy's law decoupling two-grid discretization parallel finite element method |
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