####################################################################### ###################### PLOTTED NUMERICAL RESULTS ###################### ####################################################################### # Numerical data of Test case II, which are plotted in Fig.12 of the ODAS paper on the right hand side. Data is plotted at # - 39 different radii (m = 39) # - 361 different phases (n = 361) # Data variables (x) are provided in tab-separated arrays with 363 rows (row index represents phase) and 39 columns (column index represents radial location). # For plotting reasons the first and last phase data are stitched to the last and first row of the array according to: # In contrast to experimental results the numerical data values x are provided on a structured grid as follows: # --> radius # | | x_n,1 | x_n,2 | ... | x_n,m | # | | x_1,1 | x_1,2 | ... | x_1,m | # v | x_2,1 | x_2,2 | ... | x_2,m | # phase | : | : | ... | : | # | x_n,1 | x_n,2 | ... | x_n,m | # | x_1,1 | x_1,2 | ... | x_1,m | # RADIUS, relative value as r/R with respect to R = 650 mm 0.4000 0.4150 0.4310 0.4460 0.4620 0.4770 0.4920 0.5080 0.5230 0.5380 0.5540 0.5690 0.5850 0.6000 0.6150 0.6310 0.6460 0.6620 0.6770 0.6920 0.7080 0.7230 0.7380 0.7540 0.7690 0.7850 0.8000 0.8150 0.8310 0.8460 0.8620 0.8770 0.8920 0.9080 0.9230 0.9380 0.9540 0.9690 0.9850 # PHASE_RAD, in radians # from pi/2 to 2*pi+pi/2, pi/2 is start of pitch cycle and 2*pi+pi/2 is end of pitch cycle; offset of pi/2 such that start of pitch cycle appears at 12 o`clock in plot. # for plot of polar data (transition positions at RADIUS and PHASE in radians) in cartesian coordinates X and Y use X-GRID = RADIUS * cos(PHASE_RAD) and Y-GRID = RADIUS * sin(PHASE_RAD) to generaute cartesian x-y-grid. 7.8540 1.5708 1.5882 1.6057 1.6232 1.6406 1.6581 1.6755 1.6930 1.7104 1.7279 1.7453 1.7628 1.7802 1.7977 1.8151 1.8326 1.8500 1.8675 1.8850 1.9024 1.9199 1.9373 1.9548 1.9722 1.9897 2.0071 2.0246 2.0420 2.0595 2.0769 2.0944 2.1118 2.1293 2.1468 2.1642 2.1817 2.1991 2.2166 2.2340 2.2515 2.2689 2.2864 2.3038 2.3213 2.3387 2.3562 2.3736 2.3911 2.4086 2.4260 2.4435 2.4609 2.4784 2.4958 2.5133 2.5307 2.5482 2.5656 2.5831 2.6005 2.6180 2.6354 2.6529 2.6704 2.6878 2.7053 2.7227 2.7402 2.7576 2.7751 2.7925 2.8100 2.8274 2.8449 2.8623 2.8798 2.8972 2.9147 2.9322 2.9496 2.9671 2.9845 3.0020 3.0194 3.0369 3.0543 3.0718 3.0892 3.1067 3.1241 3.1416 3.1590 3.1765 3.1940 3.2114 3.2289 3.2463 3.2638 3.2812 3.2987 3.3161 3.3336 3.3510 3.3685 3.3859 3.4034 3.4208 3.4383 3.4558 3.4732 3.4907 3.5081 3.5256 3.5430 3.5605 3.5779 3.5954 3.6128 3.6303 3.6477 3.6652 3.6826 3.7001 3.7176 3.7350 3.7525 3.7699 3.7874 3.8048 3.8223 3.8397 3.8572 3.8746 3.8921 3.9095 3.9270 3.9444 3.9619 3.9794 3.9968 4.0143 4.0317 4.0492 4.0666 4.0841 4.1015 4.1190 4.1364 4.1539 4.1713 4.1888 4.2062 4.2237 4.2412 4.2586 4.2761 4.2935 4.3110 4.3284 4.3459 4.3633 4.3808 4.3982 4.4157 4.4331 4.4506 4.4680 4.4855 4.5029 4.5204 4.5379 4.5553 4.5728 4.5902 4.6077 4.6251 4.6426 4.6600 4.6775 4.6949 4.7124 4.7298 4.7473 4.7647 4.7822 4.7997 4.8171 4.8346 4.8520 4.8695 4.8869 4.9044 4.9218 4.9393 4.9567 4.9742 4.9916 5.0091 5.0265 5.0440 5.0615 5.0789 5.0964 5.1138 5.1313 5.1487 5.1662 5.1836 5.2011 5.2185 5.2360 5.2534 5.2709 5.2883 5.3058 5.3233 5.3407 5.3582 5.3756 5.3931 5.4105 5.4280 5.4454 5.4629 5.4803 5.4978 5.5152 5.5327 5.5501 5.5676 5.5851 5.6025 5.6200 5.6374 5.6549 5.6723 5.6898 5.7072 5.7247 5.7421 5.7596 5.7770 5.7945 5.8119 5.8294 5.8469 5.8643 5.8818 5.8992 5.9167 5.9341 5.9516 5.9690 5.9865 6.0039 6.0214 6.0388 6.0563 6.0737 6.0912 6.1087 6.1261 6.1436 6.1610 6.1785 6.1959 6.2134 6.2308 6.2483 6.2657 6.2832 6.3006 6.3181 6.3355 6.3530 6.3705 6.3879 6.4054 6.4228 6.4403 6.4577 6.4752 6.4926 6.5101 6.5275 6.5450 6.5624 6.5799 6.5973 6.6148 6.6323 6.6497 6.6672 6.6846 6.7021 6.7195 6.7370 6.7544 6.7719 6.7893 6.8068 6.8242 6.8417 6.8591 6.8766 6.8941 6.9115 6.9290 6.9464 6.9639 6.9813 6.9988 7.0162 7.0337 7.0511 7.0686 7.0860 7.1035 7.1209 7.1384 7.1558 7.1733 7.1908 7.2082 7.2257 7.2431 7.2606 7.2780 7.2955 7.3129 7.3304 7.3478 7.3653 7.3827 7.4002 7.4176 7.4351 7.4526 7.4700 7.4875 7.5049 7.5224 7.5398 7.5573 7.5747 7.5922 7.6096 7.6271 7.6445 7.6620 7.6794 7.6969 7.7144 7.7318 7.7493 7.7667 7.7842 7.8016 7.8191 7.8365 7.8540 1.5708 # PITCH ANGLE, in degrees # entire simulated pitch cycle for the sake of completeness 7.2000 7.2000 7.2004 7.2018 7.2040 7.2071 7.2110 7.2159 7.2216 7.2282 7.2357 7.2441 7.2533 7.2634 7.2743 7.2861 7.2988 7.3123 7.3267 7.3419 7.3580 7.3749 7.3926 7.4112 7.4305 7.4507 7.4717 7.4935 7.5161 7.5395 7.5636 7.5885 7.6142 7.6407 7.6679 7.6958 7.7245 7.7539 7.7840 7.8148 7.8463 7.8785 7.9113 7.9449 7.9791 8.0139 8.0494 8.0855 8.1222 8.1595 8.1974 8.2359 8.2750 8.3146 8.3547 8.3954 8.4366 8.4783 8.5205 8.5632 8.6064 8.6500 8.6941 8.7385 8.7834 8.8287 8.8744 8.9205 8.9669 9.0136 9.0607 9.1081 9.1559 9.2039 9.2521 9.3007 9.3494 9.3984 9.4476 9.4971 9.5467 9.5964 9.6463 9.6964 9.7466 9.7969 9.8472 9.8977 9.9482 9.9988 10.0494 10.1000 10.1506 10.2012 10.2518 10.3023 10.3528 10.4031 10.4534 10.5036 10.5537 10.6036 10.6533 10.7029 10.7524 10.8016 10.8506 10.8993 10.9479 10.9961 11.0441 11.0919 11.1393 11.1864 11.2331 11.2795 11.3256 11.3713 11.4166 11.4615 11.5059 11.5500 11.5936 11.6368 11.6795 11.7217 11.7634 11.8046 11.8453 11.8854 11.9250 11.9641 12.0026 12.0405 12.0778 12.1145 12.1506 12.1861 12.2209 12.2551 12.2887 12.3215 12.3537 12.3852 12.4160 12.4461 12.4755 12.5042 12.5321 12.5593 12.5858 12.6115 12.6364 12.6605 12.6839 12.7065 12.7283 12.7493 12.7695 12.7888 12.8074 12.8251 12.8420 12.8581 12.8733 12.8877 12.9012 12.9139 12.9257 12.9366 12.9467 12.9559 12.9643 12.9718 12.9784 12.9841 12.9890 12.9929 12.9960 12.9982 12.9996 13.0000 12.9996 12.9982 12.9960 12.9929 12.9890 12.9841 12.9784 12.9718 12.9643 12.9559 12.9467 12.9366 12.9257 12.9139 12.9012 12.8877 12.8733 12.8581 12.8420 12.8251 12.8074 12.7888 12.7695 12.7493 12.7283 12.7065 12.6839 12.6605 12.6364 12.6115 12.5858 12.5593 12.5321 12.5042 12.4755 12.4461 12.4160 12.3852 12.3537 12.3215 12.2887 12.2551 12.2209 12.1861 12.1506 12.1145 12.0778 12.0405 12.0026 11.9641 11.9250 11.8854 11.8453 11.8046 11.7634 11.7217 11.6795 11.6368 11.5936 11.5500 11.5059 11.4615 11.4166 11.3713 11.3256 11.2795 11.2331 11.1864 11.1393 11.0919 11.0441 10.9961 10.9479 10.8993 10.8506 10.8016 10.7524 10.7029 10.6533 10.6036 10.5537 10.5036 10.4534 10.4031 10.3528 10.3023 10.2518 10.2012 10.1506 10.1000 10.0494 9.9988 9.9482 9.8977 9.8472 9.7969 9.7466 9.6964 9.6463 9.5964 9.5467 9.4971 9.4476 9.3984 9.3494 9.3007 9.2521 9.2039 9.1559 9.1081 9.0607 9.0136 8.9669 8.9205 8.8744 8.8287 8.7834 8.7385 8.6941 8.6500 8.6064 8.5632 8.5205 8.4783 8.4366 8.3954 8.3547 8.3146 8.2750 8.2359 8.1974 8.1595 8.1222 8.0855 8.0494 8.0139 7.9791 7.9449 7.9113 7.8785 7.8463 7.8148 7.7840 7.7539 7.7245 7.6958 7.6679 7.6407 7.6142 7.5885 7.5636 7.5395 7.5161 7.4935 7.4717 7.4507 7.4305 7.4112 7.3926 7.3749 7.3580 7.3419 7.3267 7.3123 7.2988 7.2861 7.2743 7.2634 7.2533 7.2441 7.2357 7.2282 7.2216 7.2159 7.2110 7.2071 7.2040 7.2018 7.2004 7.2000 7.2000 # TRANSITION POSITION (onset) # numerical transition onset positions as direct output of the code and plotted in Fig.12, transition positions corresponding to 50% turbulence intermittency start in line 401 (intermittency correction was completed only after ODAS paper and is described in ERF paper) 0.8200 0.8200 0.8100 0.7900 0.8000 0.7900 0.7900 0.7900 0.7900 0.7700 0.7700 0.7900 0.7800 0.7800 0.7600 0.7800 0.7700 0.7700 0.7700 0.7600 0.7700 0.7600 0.7600 0.7600 0.7700 0.7700 0.7600 0.7500 0.7600 0.7600 0.7600 0.7500 0.7700 0.7500 0.8100 0.8200 0.8300 0.8600 0.8500 0.8200 0.8200 0.8100 0.7900 0.8000 0.7900 0.7900 0.7900 0.7900 0.7700 0.7700 0.7900 0.7800 0.7800 0.7600 0.7800 0.7700 0.7700 0.7700 0.7600 0.7700 0.7600 0.7600 0.7600 0.7700 0.7700 0.7500 0.7500 0.7600 0.7600 0.7600 0.7500 0.7700 0.7500 0.8100 0.8200 0.8300 0.8600 0.8500 0.8200 0.8200 0.8100 0.7900 0.8000 0.7900 0.7900 0.7900 0.7900 0.7700 0.7700 0.7900 0.7800 0.7800 0.7600 0.7800 0.7700 0.7700 0.7700 0.7600 0.7700 0.7600 0.7600 0.7600 0.7700 0.7700 0.7600 0.7500 0.7600 0.7600 0.7600 0.7500 0.7700 0.7500 0.8100 0.8200 0.8300 0.8600 0.8500 0.8200 0.8200 0.8200 0.7900 0.8000 0.7900 0.7900 0.7900 0.7900 0.7700 0.7700 0.7900 0.7800 0.7800 0.7600 0.7800 0.7800 0.7700 0.7700 0.7600 0.7700 0.7700 0.7600 0.7600 0.7700 0.7700 0.7600 0.7500 0.7600 0.7600 0.7600 0.7500 0.7700 0.7500 0.8100 0.8200 0.8300 0.8600 0.8500 0.8200 0.8200 0.8200 0.7900 0.8000 0.7900 0.7900 0.7900 0.8000 0.7700 0.7700 0.7900 0.7800 0.7900 0.7600 0.7900 0.7800 0.7700 0.7700 0.7700 0.7700 0.7700 0.7600 0.7700 0.7700 0.7700 0.7600 0.7600 0.7600 0.7600 0.7600 0.7600 0.7700 0.7500 0.8200 0.8200 0.8300 0.8600 0.8500 0.8200 0.8200 0.8200 0.8000 0.8000 0.8000 0.7900 0.7900 0.8000 0.7700 0.7700 0.8000 0.7900 0.7900 0.7600 0.7900 0.7800 0.7700 0.7700 0.7700 0.7700 0.7700 0.7700 0.7700 0.7700 0.7700 0.7600 0.7600 0.7600 0.7600 0.7600 0.7600 0.7700 0.7600 0.8200 0.8200 0.8300 0.8600 0.8500 0.8200 0.8200 0.8200 0.8000 0.8000 0.8000 0.8000 0.7900 0.8000 0.7800 0.7800 0.7800 0.7900 0.7900 0.7600 0.7900 0.7800 0.7700 0.7700 0.7700 0.7700 0.7700 0.7700 0.7700 0.7700 0.7700 0.7600 0.7600 0.7600 0.7600 0.7600 0.7600 0.7700 0.7600 0.8200 0.8200 0.8400 0.8600 0.8500 0.8200 0.8200 0.8200 0.8000 0.8100 0.8000 0.8000 0.8000 0.8000 0.7800 0.7800 0.7800 0.7900 0.7900 0.7600 0.7900 0.7800 0.7800 0.7700 0.7700 0.7800 0.7700 0.7700 0.7700 0.7800 0.7700 0.7600 0.7600 0.7700 0.7600 0.7600 0.7600 0.7700 0.7600 0.8200 0.8200 0.8400 0.8600 0.8500 0.8300 0.7900 0.8200 0.8000 0.8100 0.8000 0.8000 0.8000 0.8000 0.7800 0.7800 0.7800 0.7900 0.7900 0.7600 0.7900 0.7800 0.7800 0.7700 0.7700 0.7800 0.7700 0.7700 0.7700 0.7800 0.7800 0.7600 0.7600 0.7700 0.7600 0.7600 0.7600 0.7700 0.7600 0.8200 0.8200 0.8400 0.8600 0.8500 0.8300 0.7900 0.8200 0.8000 0.8100 0.8000 0.8000 0.8000 0.8000 0.7800 0.7800 0.7800 0.7900 0.7900 0.7700 0.7900 0.7800 0.7800 0.7800 0.7700 0.7800 0.7700 0.7700 0.7700 0.7800 0.7500 0.7600 0.7600 0.7700 0.7700 0.7600 0.7600 0.7700 0.7600 0.8200 0.8200 0.8400 0.8600 0.8500 0.8300 0.7900 0.8200 0.8000 0.8100 0.8000 0.8000 0.8000 0.8000 0.7800 0.7800 0.7800 0.7900 0.7900 0.7700 0.7900 0.7800 0.7800 0.7800 0.7700 0.7800 0.7700 0.7700 0.7700 0.7800 0.7500 0.7600 0.7600 0.7700 0.7700 0.7600 0.7600 0.7700 0.7600 0.8200 0.8200 0.8400 0.8600 0.8500 0.8300 0.7900 0.8200 0.8000 0.8100 0.8000 0.8000 0.8000 0.8000 0.7800 0.7800 0.7900 0.7900 0.8000 0.7700 0.7700 0.7900 0.7800 0.7800 0.7700 0.7800 0.7700 0.7700 0.7700 0.7800 0.7500 0.7700 0.7600 0.7700 0.7700 0.7700 0.7600 0.7700 0.7600 0.8200 0.8200 0.8400 0.8600 0.8500 0.8300 0.8000 0.8200 0.8000 0.8100 0.8000 0.8000 0.8000 0.8100 0.7800 0.7800 0.7900 0.7900 0.8000 0.7700 0.7700 0.7900 0.7800 0.7800 0.7700 0.7800 0.7700 0.7700 0.7700 0.7800 0.7500 0.7700 0.7600 0.7700 0.7700 0.7700 0.7600 0.7700 0.7600 0.8200 0.8200 0.8400 0.8600 0.8500 0.8300 0.8000 0.8200 0.8000 0.8100 0.8000 0.8000 0.8000 0.8100 0.7800 0.7800 0.7900 0.7900 0.8000 0.7700 0.7700 0.7900 0.7800 0.7800 0.7700 0.7800 0.7800 0.7700 0.7700 0.7800 0.7500 0.7700 0.7600 0.7700 0.7700 0.7700 0.7600 0.7700 0.7600 0.8200 0.8200 0.8400 0.8600 0.8500 0.8300 0.8000 0.8200 0.8000 0.8100 0.8100 0.8000 0.8000 0.8000 0.7900 0.7900 0.7900 0.7900 0.8000 0.7700 0.7700 0.7900 0.7800 0.7800 0.7800 0.7800 0.7800 0.7700 0.7700 0.7800 0.7500 0.7700 0.7600 0.7700 0.7700 0.7700 0.7600 0.7700 0.7600 0.8200 0.8200 0.8400 0.8600 0.8500 0.8100 0.8000 0.8200 0.8100 0.8100 0.8100 0.8100 0.8000 0.8000 0.7900 0.7900 0.7900 0.7900 0.8000 0.7700 0.7700 0.7900 0.7800 0.7800 0.7800 0.7800 0.7800 0.7700 0.7700 0.7800 0.7500 0.7700 0.7600 0.7700 0.7700 0.7700 0.7600 0.7700 0.7600 0.8200 0.8200 0.8400 0.8600 0.8500 0.8100 0.8000 0.8200 0.8100 0.8100 0.8100 0.8100 0.8100 0.8000 0.7900 0.7900 0.7900 0.8000 0.8000 0.7700 0.7700 0.7900 0.7800 0.7800 0.7800 0.7800 0.7800 0.7700 0.7700 0.7800 0.7500 0.7700 0.7600 0.7700 0.7700 0.7700 0.7600 0.7700 0.7600 0.8200 0.8200 0.8300 0.8600 0.8500 0.8100 0.8000 0.8200 0.8100 0.8100 0.8100 0.8100 0.8100 0.8100 0.7900 0.7900 0.7900 0.8000 0.7900 0.7700 0.7700 0.7900 0.7800 0.7800 0.7800 0.7800 0.7800 0.7700 0.7800 0.7800 0.7500 0.7700 0.7700 0.7700 0.7700 0.7700 0.7600 0.7700 0.7600 0.8200 0.8200 0.8300 0.8600 0.8500 0.8100 0.8000 0.8200 0.8100 0.8100 0.8100 0.8100 0.8100 0.8100 0.7900 0.7900 0.7900 0.8000 0.7900 0.7700 0.7700 0.7900 0.7800 0.7800 0.7800 0.7800 0.7800 0.7700 0.7800 0.7800 0.7500 0.7700 0.7700 0.7700 0.7700 0.7700 0.7600 0.7700 0.7600 0.8200 0.8200 0.8300 0.8600 0.8500 0.8100 0.8000 0.8300 0.8100 0.8100 0.8100 0.8100 0.8100 0.8100 0.7900 0.7900 0.7900 0.8000 0.7900 0.7700 0.7700 0.7900 0.7800 0.7800 0.7800 0.7800 0.7800 0.7800 0.7800 0.7600 0.7500 0.7700 0.7700 0.7700 0.7700 0.7700 0.7600 0.7700 0.7600 0.8200 0.8200 0.8300 0.8600 0.8500 0.8100 0.8000 0.8300 0.8100 0.8200 0.8100 0.8100 0.8100 0.8100 0.7900 0.7900 0.7900 0.8000 0.7900 0.7700 0.7700 0.7900 0.7900 0.7800 0.7800 0.7800 0.7800 0.7800 0.7800 0.7800 0.7500 0.7700 0.7700 0.7700 0.7700 0.7700 0.7600 0.7700 0.7600 0.8200 0.8200 0.8300 0.8600 0.8500 0.8100 0.8000 0.8300 0.8100 0.8200 0.8100 0.8100 0.8100 0.8100 0.7900 0.7900 0.7900 0.8000 0.7900 0.7700 0.7800 0.7900 0.7900 0.7800 0.7800 0.7800 0.7800 0.7800 0.7800 0.7800 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0.7700 0.7500 0.7500 0.7600 0.7600 0.7600 0.7500 0.7700 0.7500 0.8100 0.8200 0.8300 0.8600 0.8500 # TRANSITION POSITION # numerical transition onset positions have been corrected by intermittency measure Delta_50% to enable comparison of transition position (x/c)_tr corresponding to 50% turbulence intermittency 0.8856 0.8856 0.8784 0.8625 0.8706 0.8625 0.8625 0.8625 0.8625 0.8460 0.8460 0.8625 0.8543 0.8543 0.8376 0.8543 0.8460 0.8460 0.8460 0.8376 0.8460 0.8376 0.8376 0.8376 0.8460 0.8460 0.8376 0.8291 0.8376 0.8376 0.8376 0.8291 0.8460 0.8291 0.8784 0.8856 0.8921 0.9057 0.9022 0.8856 0.8856 0.8784 0.8625 0.8706 0.8625 0.8625 0.8625 0.8625 0.8460 0.8460 0.8625 0.8543 0.8543 0.8376 0.8543 0.8460 0.8460 0.8460 0.8376 0.8460 0.8376 0.8376 0.8376 0.8460 0.8460 0.8291 0.8291 0.8376 0.8376 0.8376 0.8291 0.8460 0.8291 0.8784 0.8856 0.8921 0.9057 0.9022 0.8856 0.8856 0.8784 0.8625 0.8706 0.8625 0.8625 0.8625 0.8625 0.8460 0.8460 0.8625 0.8543 0.8543 0.8376 0.8543 0.8460 0.8460 0.8460 0.8376 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