Numerical Implementations for 2D Lid-Driven Cavity Flow in Stream Function Formulation

Table 9

Comparison of the three schemes on the bottom right secondary vortex at Re=5000: maximum of the stream function and location.

Reference	Grid	𝜓max	𝜔	𝑥max	𝑦max
Explicit	52×52	1.006×10^−3	1.485	0.90	0.06
Operator	52×52	—	—	—	—
Internal	52×52	1.006×10^−3	1.483	0.90	0.06
Explicit	102×102	2.622×10^−3	2.359	0.83	0.07
Operator	102×102	2.576×10^−3	2.207	0.80	0.08
Internal	102×102	2.624×10^−3	2.357	0.83	0.07
Ref. [4]	128×128	2.9313×10^−3	2.7718	0.80469	0.070313
Ref. [4]	1024×1024	3.0694×10^−3	2.7245	0.80566	0.073242
Ref. [1]	512×512	2.890×10^−3	—	0.8077	0.0736