1. A two‐grid method with backtracking for the mixed Navier–Stokes/Darcy model.
- Author
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Du, Guangzhi, Li, Qingtao, and Zhang, Yuhong
- Subjects
- *
NAVIER-Stokes equations , *NUMERICAL analysis , *ALGORITHMS , *DARCY'S law , *LINEAR equations , *FINITE element method - Abstract
In this paper, we consider the effect of adding a coarse mesh correction to the two‐grid algorithm for the mixed Navier–Stokes/Darcy model. The method yields both L2 and H1 optimal velocity and piezometric head approximations and an L2 optimal pressure approximation. The method involves solving one small, coupled, nonlinear coarse mesh problem, two independent subproblems (linear Navier–Stokes equation and Darcy equation) on the fine mesh, and a correction problem on the coarse mesh. Theoretical analysis and numerical tests are done to indicate the significance of this method. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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