Journal
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Volume 36, Issue 6, Pages 1601-1610Publisher
WILEY
DOI: 10.1002/num.22493
Keywords
backtracking technique; Darcy's law; finite element method; Navier-stokes equations; two-grid algorithm
Categories
Funding
- National Natural Science Foundation of China [11701343, 11801170, 11801332]
- Natural Science Foundation of Shandong Province [ZR2019BA002]
Ask authors/readers for more resources
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 bothL(2)andH(1)optimal velocity and piezometric head approximations and anL(2)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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available