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: 6th-order Crowley 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 9.96200 26 41 -0.03217 32 41 124.99757 2 0.01571 9.84862 26 41 -0.04411 31 44 124.95364 3 0.02356 9.94071 25 41 -0.04228 31 44 125.00491 4 0.03142 9.99649 25 41 -0.04371 31 39 125.33850 5 0.03927 9.97596 25 41 -0.05477 31 42 125.05967 6 0.04712 9.87947 25 41 -0.06128 31 41 125.14138 7 0.05498 9.91108 24 41 -0.05753 30 44 125.19922 8 0.06283 9.98278 24 41 -0.05462 30 43 125.89149 9 0.07069 9.97755 24 41 -0.06489 30 42 125.83324 10 0.07854 9.89537 24 41 -0.07529 30 42 125.40315 20 0.15708 9.85299 21 40 -0.07945 28 41 125.87910 30 0.23562 9.90786 19 39 -0.10850 25 42 127.65314 40 0.31416 9.95191 17 38 -0.11892 23 41 128.69641 50 0.39270 9.72269 15 37 -0.11699 21 40 129.86067 60 0.47124 9.86843 14 35 -0.11764 20 37 130.32280 70 0.54978 9.76633 13 33 -0.12369 19 34 129.98152 80 0.62832 9.74809 12 30 -0.12227 18 33 130.27715 90 0.70686 9.91622 11 28 -0.12965 8 34 130.57739 100 0.78540 9.93163 11 26 -0.13564 7 31 130.55775 110 0.86394 9.82413 11 23 -0.13770 10 30 130.07692 120 0.94248 9.93415 12 21 -0.13718 9 27 129.82254 130 1.02102 9.93249 13 19 -0.15907 10 25 130.21260 140 1.09956 10.00718 14 17 -0.16699 11 23 129.08020 150 1.17810 9.84392 15 15 -0.16909 12 21 130.19496 160 1.25664 9.93259 17 14 -0.17028 13 19 130.50264 170 1.33518 9.84176 19 13 -0.17156 13 15 130.06743 180 1.41372 9.82730 21 12 -0.18441 15 13 129.71660 190 1.49226 10.02264 24 11 -0.18986 17 12 128.77617 200 1.57080 10.07973 26 11 -0.19525 20 14 128.98738 210 1.64934 9.91428 28 11 -0.21025 22 10 129.95032 220 1.72788 10.01738 31 12 -0.20746 24 10 128.95107 230 1.80642 10.05217 33 13 -0.21036 27 9 128.90253 240 1.88496 10.11326 35 14 -0.21001 28 13 128.35823 250 1.96350 9.88572 37 16 -0.21311 33 10 129.26782 260 2.04203 10.02574 38 17 -0.22455 32 14 129.64026 270 2.12057 9.93309 39 19 -0.23939 34 15 129.34999 280 2.19911 9.94704 40 22 -0.23422 39 15 129.69199 290 2.27765 10.12841 41 24 -0.23582 37 18 128.85474 300 2.35619 10.14649 41 26 -0.24274 38 20 128.93123 310 2.43473 9.97145 41 29 -0.24440 39 22 129.69672 320 2.51327 10.10006 40 31 -0.24226 39 24 128.93327 330 2.59181 10.09819 39 33 -0.23969 43 27 128.80379 340 2.67035 10.18232 38 35 -0.24225 39 28 127.06087 350 2.74889 10.01218 37 37 -0.24134 38 30 128.70757 360 2.82743 10.12880 35 38 -0.24993 38 32 127.96546 370 2.90597 10.03143 33 39 -0.25749 37 34 127.30019 380 2.98451 10.01757 31 40 -0.25021 37 42 127.89545 390 3.06305 10.11717 28 41 -0.25280 34 37 128.79181 400 3.14159 10.22304 26 41 -0.25947 32 44 128.33076 Finished with case 1 Max value 10.223036 at ( 26, 41) Error stats: correlation 0.9990 error: total 0.00151 dissip 0.00000 disper 0.00151