A modified two-grid decoupling method for the mixed Navier-Stokes/Darcy Model.

In this paper, a modified two-grid decoupling method for the mixed Navier-Stokes/Darcy model is proposed and analyzed. The solution on interface condition is approximated by the solution obtained on the fine grid. Stability and convergence of the method are proved. The convergence rate for the L 2 -norm of ź u and p is improved from O ( H 3 2 ) to O ( H 2 ) . The numerical results are consistent with the theoretical results and illustrate that the proposed method is quite efficient.