Program 3, ATMS 502/CSE 566, Univ. Illinois, Sp2023 PURE ROTATION CASE radius=0.12, origin 0.00 0.30 time step 0.0079, # of steps 400 time steps to be plotted: 100 200 300 400 Method: Takacs Grid: ( 51, 51), dx = 0.0200 Max S at ( 26, 41), = 10.0000 3x3 array of S centered on max S j=42: s(25)= 8.6907 s(26)= 9.3301 s(27)= 8.6907 j=41: s(25)= 9.3301 s(26)=10.0000 s(27)= 9.3301 j=40: s(25)= 8.6907 s(26)= 9.3301 s(27)= 8.6907 3x3 array of U centered on max S j=42: u(25)=-0.6400 u(26)=-0.6400 u(27)=-0.6400 j=41: u(25)=-0.6000 u(26)=-0.6000 u(27)=-0.6000 j=40: u(25)=-0.5600 u(26)=-0.5600 u(27)=-0.5600 3x3 array of V centered on max S j=42: v(25)=-0.0400 v(26)= 0.0000 v(27)= 0.0400 j=41: v(25)=-0.0400 v(26)= 0.0000 v(27)= 0.0400 j=40: v(25)=-0.0400 v(26)= 0.0000 v(27)= 0.0400 Step Time Max at I , J Min at I , J GradMax --------------------------------------------------------------- 0 0.00000 10.00000 26 41 0.00000 1 1 1 0.00785 9.95615 26 41 -0.03523 32 41 124.95699 2 0.01571 9.83729 26 41 -0.05145 32 41 124.85246 3 0.02356 9.92182 25 41 -0.05455 32 41 124.85644 4 0.03142 9.97165 25 41 -0.04934 32 41 124.85239 5 0.03927 9.94581 25 41 -0.06204 31 43 124.77291 6 0.04712 9.84490 25 41 -0.07984 31 42 124.67767 7 0.05498 9.86131 24 41 -0.08767 31 41 124.58720 8 0.06283 9.92591 24 41 -0.08589 31 41 124.45389 9 0.07069 9.91478 24 41 -0.07862 30 43 124.22660 10 0.07854 9.82824 24 41 -0.09233 30 42 123.97943 20 0.15708 9.73437 21 40 -0.13972 28 42 123.31014 30 0.23562 9.68982 19 39 -0.16193 26 41 122.06136 40 0.31416 9.66555 17 38 -0.17319 24 40 120.20531 50 0.39270 9.34021 15 37 -0.17799 22 39 118.47930 60 0.47124 9.46458 14 35 -0.17928 20 39 116.35606 70 0.54978 9.31359 13 33 -0.17784 19 36 114.41858 80 0.62832 9.18603 12 31 -0.17309 17 36 112.15149 90 0.70686 9.18237 11 28 -0.17255 17 33 112.05098 100 0.78540 9.18839 11 26 -0.17053 9 33 111.17124 110 0.86394 9.00359 11 24 -0.18619 10 31 110.24755 120 0.94248 8.95183 12 21 -0.19573 11 29 107.35449 130 1.02102 8.87694 13 19 -0.20041 9 26 106.61175 140 1.09956 8.85709 14 17 -0.20857 10 24 105.31764 150 1.17810 8.62527 15 15 -0.21082 11 22 103.28770 160 1.25664 8.69950 17 14 -0.21518 14 21 101.82003 170 1.33518 8.56843 19 13 -0.20889 15 19 99.88277 180 1.41372 8.49388 21 12 -0.20875 17 18 98.87798 190 1.49226 8.37252 24 11 -0.20421 18 17 99.17418 200 1.57080 8.43947 26 11 -0.20810 18 10 98.90033 210 1.64934 8.33582 28 11 -0.21103 21 8 97.97328 220 1.72788 8.20747 31 12 -0.22132 23 9 96.17194 230 1.80642 8.18189 33 13 -0.22718 25 10 96.40216 240 1.88496 8.15612 35 14 -0.22950 27 11 94.54074 250 1.96350 7.95576 36 15 -0.23042 29 12 93.99884 260 2.04203 8.04565 38 17 -0.22943 31 13 92.37232 270 2.12057 7.95828 39 19 -0.22840 32 16 90.72609 280 2.19911 7.87486 40 21 -0.22859 33 18 90.47516 290 2.27765 7.81028 41 24 -0.22694 34 19 89.42142 300 2.35619 7.85223 41 26 -0.22650 43 18 89.54716 310 2.43473 7.74648 41 28 -0.23135 42 20 88.44653 320 2.51327 7.68569 40 31 -0.23276 44 23 87.14038 330 2.59181 7.64523 39 33 -0.23699 43 25 87.13179 340 2.67035 7.63469 38 35 -0.23715 42 27 85.58486 350 2.74889 7.46028 37 36 -0.23580 41 29 85.32178 360 2.82743 7.55097 35 38 -0.23807 37 30 84.23917 370 2.90597 7.47106 33 39 -0.23742 37 32 82.99815 380 2.98451 7.42357 31 40 -0.24176 35 33 82.92037 390 3.06305 7.30709 28 41 -0.23976 33 34 81.46999 400 3.14159 7.37644 26 41 -0.23820 32 35 82.06337 Finished with case 1 Max value 7.376444 at ( 26, 41) Error stats: correlation 0.9706 error: total 0.05021 dissip 0.01289 disper 0.03732