Numerical Simulations of the Square Lid Driven Cavity Flow of Bingham Fluids Using Nonconforming Finite Elements Coupled with a Direct Solver

Table 4

Values of the -component of the velocity along the vertical center line for .

Level 2	Level 5	Level 7	Level 2	Level 5	Level 7	Level 2	Level 5	Level 7
0.00	0.000000	0.000000	0.000000	0.000000	0.000000	0.000000	0.000000	0.000000	0.000000
0.05	−0.013251	−0.0010289	−0.0010116	−0.013028	−0.0005843	−0.0005535	−0.012885	−0.0003243	−0.0002947
0.10	−0.026501	−0.0020266	−0.0019455	−0.026055	−0.0011590	−0.0010759	−0.025771	−0.0006451	−0.0005783
0.15	−0.039752	−0.0033673	−0.0032162	−0.039083	−0.0020363	−0.0018627	−0.038656	−0.0012314	−0.0010568
0.20	−0.053003	−0.0059797	−0.0057659	−0.052111	−0.0044433	−0.0041157	−0.051542	−0.0035617	−0.0033013
0.25	−0.066254	−0.0113470	−0.0122350	−0.065138	−0.0105230	−0.0112940	−0.064427	−0.0103240	−0.0109420
0.30	−0.079504	−0.0237110	−0.0240660	−0.078166	−0.0234810	−0.0238490	−0.077312	−0.0234520	−0.0238150
0.35	−0.092755	−0.0389840	−0.0395680	−0.091194	−0.0391150	−0.0397450	−0.090198	−0.0392330	−0.0398780
0.40	−0.106010	−0.0557910	−0.0567500	−0.104220	−0.0561110	−0.0571140	−0.103080	−0.0563100	−0.0573210
0.45	−0.119260	−0.0728560	−0.0739620	−0.117250	−0.0732490	−0.0743940	−0.115970	−0.0734660	−0.0746230
0.50	−0.132510	−0.0889990	−0.0899600	−0.130280	−0.0894080	−0.0904000	−0.128850	−0.0896280	−0.0906270
0.55	−0.019256	−0.1023800	−0.1037600	−0.017249	−0.1027800	−0.1041800	−0.015968	−0.102980	−0.1044000
0.60	0.093994	−0.1128200	−0.1146200	0.095779	−0.113200	−0.1150200	0.096917	−0.113400	−0.1152300
0.65	0.207240	−0.1197600	−0.1218100	0.208810	−0.120130	−0.122200	0.209800	−0.120320	−0.1224000
0.70	0.320500	−0.1225400	−0.1244700	0.321830	−0.122910	−0.124860	0.322690	−0.123100	−0.1250500
0.75	0.433750	−0.1203500	−0.1212400	0.434860	−0.120740	−0.121650	0.435570	−0.120950	−0.1218600
0.80	0.547000	−0.1078300	−0.1082700	0.547890	−0.108310	−0.108750	0.548460	−0.108550	−0.1089800
0.85	0.660250	−0.0405360	−0.0578980	0.660920	−0.041105	−0.058487	0.661340	−0.041380	−0.0587660
0.90	0.773500	0.1480600	0.1287800	0.773940	0.147500	0.128200	0.774230	0.147230	0.1279300
0.95	0.886750	0.4934200	0.4848400	0.886970	0.493040	0.484440	0.887110	0.492860	0.4842500
0.97	0.932050	0.6960500	0.6724000	0.932180	0.695820	0.672130	0.932270	0.695720	0.6720100
0.98	0.954700	0.7973700	0.7766300	0.954790	0.797220	0.776440	0.954850	0.797140	0.7763500
0.99	0.977350	0.8986800	0.8862300	0.977390	0.898610	0.886130	0.977420	0.898570	0.8860800
1.00	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000