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: 2nd-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 9.96281 26 41 -0.06001 32 41 124.96653 2 0.01571 9.85653 26 41 -0.09282 32 41 124.94675 3 0.02356 9.92130 25 41 -0.11220 31 44 125.02299 4 0.03142 9.98320 25 41 -0.15040 31 43 125.10906 5 0.03927 9.97538 25 41 -0.18528 31 42 125.41177 6 0.04712 9.89804 25 41 -0.22131 31 42 125.08349 7 0.05498 9.85544 24 41 -0.23339 31 41 125.78819 8 0.06283 9.94384 24 41 -0.22824 30 43 125.92702 9 0.07069 9.96248 24 41 -0.27392 30 43 126.08880 10 0.07854 9.91121 24 41 -0.31187 30 42 125.82209 20 0.15708 9.75645 22 40 -0.50076 28 42 129.40230 30 0.23562 9.69381 19 39 -0.62974 26 41 129.02306 40 0.31416 9.76378 18 38 -0.72506 24 40 126.51606 50 0.39270 9.96349 16 37 -0.81492 22 40 125.23021 60 0.47124 9.82693 14 35 -0.87244 20 39 127.59228 70 0.54978 9.72548 13 34 -0.87958 18 38 129.18584 80 0.62832 9.66078 12 32 -0.86749 16 37 128.68492 90 0.70686 9.44176 11 29 -0.88679 15 35 130.16814 100 0.78540 9.56179 11 27 -0.93428 8 33 131.34534 110 0.86394 9.49832 11 25 -1.03398 12 31 132.20433 120 0.94248 9.27198 11 23 -1.23357 11 29 131.21034 130 1.02102 9.21465 12 21 -1.38642 11 27 127.89663 140 1.09956 9.09364 13 19 -1.49183 11 25 127.45896 150 1.17810 9.02887 14 17 -1.54930 12 23 126.55230 160 1.25664 8.88049 16 15 -1.57501 12 21 125.50724 170 1.33518 8.70272 17 14 -1.61031 13 19 123.09474 180 1.41372 8.55128 19 13 -1.58547 14 17 122.01853 190 1.49226 8.47942 21 12 -1.54918 16 16 120.67760 200 1.57080 8.43387 24 11 -1.55534 17 13 119.72609 210 1.64934 8.42957 26 11 -1.65906 20 8 117.93112 220 1.72788 8.31249 28 11 -1.71989 22 8 117.41151 230 1.80642 8.17452 30 12 -1.79049 24 9 115.21107 240 1.88496 8.04697 33 13 -1.83940 26 10 114.46017 250 1.96350 7.99093 35 14 -1.86919 28 11 113.40852 260 2.04203 7.97169 36 15 -1.86001 30 12 114.49260 270 2.12057 7.87761 38 17 -1.81971 32 12 111.50730 280 2.19911 7.77340 39 19 -1.84488 33 15 111.48122 290 2.27765 7.70281 40 21 -1.89025 34 17 109.70171 300 2.35619 7.56203 41 23 -1.94775 42 16 110.07445 310 2.43473 7.53209 41 25 -1.97345 44 19 107.07691 320 2.51327 7.47534 41 28 -2.03893 44 21 107.16288 330 2.59181 7.38516 40 30 -1.98832 44 23 105.71977 340 2.67035 7.37885 40 32 -2.03920 44 26 103.86336 350 2.74889 7.29843 39 34 -2.00895 44 29 104.40439 360 2.82743 7.23056 37 36 -1.95660 43 31 103.54092 370 2.90597 7.08311 36 37 -2.01093 37 30 102.13708 380 2.98451 7.06669 34 39 -2.03511 36 32 99.59270 390 3.06305 6.98920 32 40 -2.08296 35 33 99.73031 400 3.14159 6.82504 30 40 -2.12111 37 42 99.16319 Finished with case 1 Max value 6.825037 at ( 30, 40) Error stats: correlation 0.6907 error: total 0.43001 dissip 0.00234 disper 0.42767