Decoupling time filter method for the non‐stationary Navier‐Stokes/Darcy model

In this paper, we propose time filter algorithm based on the Backward Euler method for the non‐stationary Navier‐Stokes/Darcy problems. The decoupling method is composed of Backward Euler method and normal time filter. Stability and the second‐order convergence are also proved in details. Finally, numerical examples are listed to validate the theoretical analysis.