Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition

Table 1

Errors of the finite element method for the steady Navier-Stokes-Darcy model with BJS interface condition.

ℎ	‖𝑢ℎ−𝑢‖0	‖𝑢ℎ−𝑢‖1	‖𝑝ℎ−𝑝‖0	‖𝜙ℎ−𝜙‖0	|𝜙ℎ−𝜙|1
1/8	1.367×10^−3	6.147×10^−2	8.002×10^−3	6.940×10^−4	2.452×10^−2
1/16	1.687×10^−4	1.577×10^−2	8.559×10^−4	8.687×10^−5	6.187×10^−3
1/32	2.086×10^−5	3.978×10^−3	9.506×10^−5	1.089×10^−5	1.553×10^−3
1/64	2.594×10^−6	9.974×10^−4	1.121×10^−5	1.363×10^−6	3.890×10^−4
1/128	3.235×10^−7	2.496×10^−4	1.363×10^−6	1.705×10^−7	9.733×10^−5