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

Table 5

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

y
	Level 2	Level 5	Level 7	Level 2	Level 5	Level 7	Level 2	Level 5	Level 7
0.00	0.00000	0.00000	0.00000	0.000000	0.000000	0.0000000	0.0000000	0.0000000	0.0000000
0.05	−0.01276	−0.0004015	−0.00040	−0.012632	−0.0002256	−0.0002200	−0.012567	−0.0001239	−0.0001164
0.10	−0.02552	−0.0007936	−0.00078	−0.025265	−0.0004461	−0.0004284	−0.025134	−0.0002451	−0.0002267
0.15	−0.03828	−0.0012214	−0.00120	−0.037897	−0.0006895	−0.0006578	−0.037701	−0.0003803	−0.0003491
0.20	−0.05104	−0.0017347	−0.00170	−0.050530	−0.0009877	−0.0009424	−0.050268	−0.0005491	−0.0005036
0.25	−0.06379	−0.0023872	−0.00238	−0.063162	−0.0013773	−0.0013403	−0.062835	−0.0007745	−0.0007269
0.30	−0.07655	−0.0034638	−0.00341	−0.075795	−0.0020713	−0.0020025	−0.075402	−0.0012027	−0.0011303
0.35	−0.08931	−0.0054841	−0.00524	−0.088427	−0.0037121	−0.0034697	−0.087969	−0.0026646	−0.0023786
0.40	−0.10207	−0.0100510	−0.00902	−0.101060	−0.0088888	−0.0077991	−0.100540	−0.0083352	−0.0073288
0.45	−0.11483	−0.0176790	−0.01558	−0.113690	−0.0178200	−0.0156190	−0.113100	−0.0181320	−0.0158290
0.50	−0.12759	−0.0277930	−0.02323	−0.126320	−0.028356	−0.0237720	−0.125670	−0.0287160	−0.0241450
0.55	−0.01483	−0.0369840	−0.03037	−0.013692	−0.037644	−0.0309950	−0.013103	−0.0380350	−0.0313710
0.60	0.09792	−0.0448550	−0.03652	0.098941	−0.045507	−0.0371250	0.099464	−0.0458770	−0.0374760
0.65	0.21069	−0.0512220	−0.04149	0.211570	−0.051834	−0.0420640	0.212030	−0.0521730	−0.0423870
0.70	0.32345	−0.0559550	−0.04517	0.324210	−0.056536	−0.0457100	0.324600	−0.0568550	−0.0460110
0.75	0.43621	−0.0589840	−0.04743	0.436840	−0.059545	−0.0479510	0.437170	−0.0598500	−0.0482400
0.80	0.54896	−0.0595660	−0.04808	0.549470	−0.060137	−0.0486150	0.549730	−0.0604460	−0.0489040
0.85	0.66172	−0.0579270	−0.04688	0.662100	−0.058539	−0.0474550	0.662300	−0.0588640	−0.0477610
0.90	0.77448	−0.0594230	−0.04293	0.774740	−0.060227	−0.0436020	0.774870	−0.0606400	−0.0439500
0.95	0.88724	0.1492400	0.02744	0.887370	0.148400	0.0257970	0.887430	0.1479700	0.0250270
0.97	0.93234	0.4895400	0.26696	0.932420	0.489040	0.2649700	0.932460	0.4887800	0.2640800
0.98	0.95490	0.6597000	0.47095	0.954950	0.659360	0.4693400	0.954970	0.6591900	0.4686200
0.99	0.97745	0.8298500	0.71853	0.977470	0.829680	0.7176000	0.977490	0.8295900	0.7171900
1.00	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000