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

Table 8

Comparison of the three schemes on the bottom right secondary vortex at Re=1000: maximum of the stream function and location.

Reference	Grid	𝜓max	𝜔	𝑥max	𝑦max
Explicit	52×52	1.301×10^−3	0.9891	0.880	0.120
Operator	52×52	1.597×10^−3	0.9802	0.860	0.120
Internal	52×52	1.302×10^−3	0.9891	0.880	0.120
Explicit	102×102	1.611×10^−3	1.005	0.870	0.110
Operator	102×102	1.699×10^−3	1.079	0.860	0.110
Internal	102×102	1.611×10^−3	1.006	0.870	0.110
Ref. [14]	160	1.729717×10^−3	1.109789	0.8640	0.1118
Ref. [4]	128×128	1.7322×10^−3	1.1304	0.85937	0.10938
Ref. [4]	1024×1024	1.7297×10^−3	1.1120	0.86426	0.11230
Ref. [1]	512×512	1.640×10^−3	—	0.8651	0.1118
Ref. [15]	41×41	1.731×10^−3	0.9847	0.8500	0.1250