# Lagrangian statistics in turbulent channel flow
# --------------------------------------------------
# Davide Perrone [davide.perrone@polito.it]
# J.G.M. Kuerten
# Luca Ridolfi
# Stefania Scarsoglio
# --------------------------------------------------
# 10.5281/zenodo.4916024
# --------------------------------------------------
# reT = 395
# --------------------------------------------------
# rho_w
0.999504 	0.996906 	0.989047 	0.975955 	0.957861 	0.935166 	0.908326 	0.877844 	0.844203 	0.807860 	0.769395 	0.729556 	0.689116 	0.648688 	0.608847 	0.569874 	0.531967 	0.495260 	0.459841 	0.425795 	0.393216 	0.362078 	0.332433 	0.304500 	0.278354 	0.254070 	0.231629 	0.210880 	0.191546 	0.173470 	0.156591 	0.140676 	0.125657 	0.111544 	0.098260 	0.085813 	0.074093 	0.063161 	0.053016 	0.043616 	0.034865 	0.026727 	0.019143 	0.012069 	0.005429 	-0.000792 	-0.006522 	-0.011880 	-0.017018 	-0.022001 	-0.026768 	-0.031235 	-0.035147 	-0.038315 	-0.040624 	-0.041894 	-0.042217 	-0.041736 	-0.040516 	-0.038677 	-0.036320 	-0.033628 	-0.030624 	-0.027447 	-0.024193 	-0.020873 	-0.017602 	-0.014425 	-0.011440 	-0.008738 	-0.006454 	-0.004743 	-0.003653 	-0.003423 	-0.003979 	-0.005220 	-0.007033 	-0.009235 	-0.011613 	-0.013934 	-0.016056 	-0.017843 	-0.019268 	-0.020293 	-0.020986 	-0.021441 	-0.021724 	-0.021840 	-0.021920 	-0.022187 	-0.022636 	-0.023329 	-0.024354 	-0.025525 	-0.026715 	-0.027844 	-0.028850 	-0.029713 	-0.030528 	-0.031424 	-0.032540 	-0.033855 	-0.035391 	-0.037146 	-0.038974 	-0.040825 	-0.042578 	-0.044209 	-0.045705 	-0.047112 	-0.048452 	-0.049787 	-0.051180 	-0.052534 	-0.053909 	-0.055165 	-0.056179 	-0.056924 	-0.057406 	-0.057634 	-0.057764 	-0.057875 	-0.057992 	-0.058119 	-0.058325 	-0.058607 	-0.059034 	-0.059608 	-0.060289 	-0.061078 	-0.061781 	-0.062365 	-0.062734 	-0.062705 	-0.062207 	-0.061341 	-0.060033 	-0.058321 	-0.056515 	-0.054672 	-0.052695 	-0.050618 	-0.048423 	-0.046127 	-0.043714 	-0.041296 	-0.038859 	-0.036492 	-0.034243 	-0.032154 	-0.030337 	-0.028698 	-0.027218 	-0.025649 	-0.023856 	-0.021880 	-0.019503 	-0.016669 	-0.013476 	-0.009864 	-0.005846 	-0.001685 	0.002532 	0.006606 	0.010348 	0.013766 	0.016850 	0.019612 	0.022126 	0.024473 	0.026625 	0.028448 	0.029807 	0.030630 	0.030723 	0.030070 	0.028822 	0.027148 	0.025255 	0.023321 	0.021527 	0.020036 	0.018877 	0.018044 	0.017557 	0.017348 	0.017246 	0.017127 	0.016980 	0.016698 	0.016107 	0.015247 	0.014126 	0.012769 	0.011283 	0.009877 	0.008715 	0.007921 	0.007578 	0.007605 	0.007953 	0.008652 	0.009782 	0.011161 	0.012778 	0.014622 	0.016453 	0.018195 	0.019959 	0.021779 	0.023777 	0.025920 	0.028189 	0.030314 	0.032174 	0.033582 	0.034339 	0.034375 	0.033600 	0.032022 	0.029861 	0.027513 	0.025250 	0.023303 	0.021829 	0.020724 	0.019849 	0.019211 	0.018689 	0.018300 	0.018131 	0.018148 	0.018355 	0.018937 	0.019939 	0.021489 	0.023558 	0.025986 	0.028615 	0.031108 	0.033403 	0.035409 	0.036922 	0.037897 	0.038319 	0.038340 	0.038132 	0.037845 	0.037678 	0.037875 	0.038502 	0.039457 	0.040690 	0.042025 	0.043363 	0.044626 	0.045827 	0.046816 	0.047583 	0.048087 	0.048324 	0.048328 	0.048028 	0.047281 	0.046045 	0.044329 	0.042181 	0.039651 	0.036884 	0.033980 	0.031006 	0.028150 	0.025390 	0.022832 	0.020617 	0.018783 	0.017291 	0.016307 	0.015721 	0.015552 	0.015694 	0.015896 	0.016103 	0.016268 	0.016396 	0.016469 	0.016501 	0.016498 	0.016389 	0.016017 	0.015300 	0.014279 	0.013000 	0.011476 	0.009803 	0.008055 	0.006395 	0.004961 	0.003718 	0.002702 	0.001962 	0.001501 	0.001412 	0.001694 	0.002347 	0.003232 	0.004044 	0.004732 	0.005152 	0.005321 	0.005262 	0.005082 	0.004902 	0.004873 	0.005013 	0.005208 	0.005427 	0.005579 	0.005636 	0.005586 	0.005365 	0.005126 	0.004945 	0.004808 	0.004794 	0.004978 	0.005379 	0.006049 	0.006967 	0.008078 	0.009242 	0.010379 	0.011401 	0.012183 	0.012708 	0.012936 	0.012996 	0.013000 	0.012849 	0.012655 	0.012510 	0.012264 	0.011765 	0.010944 	0.009697 	0.007858 	0.005296 	0.002088 	-0.001715 	-0.005862 	-0.010116 	-0.014333 	-0.018243 	-0.021786 	-0.024708 	-0.026990 	-0.028572 	-0.029447 	-0.029694 	-0.029406 	-0.028727 	-0.027710 	-0.026542 	-0.025320 	-0.024090 	-0.022875 	-0.021648 	-0.020433 	-0.019229 	-0.018034 	-0.016816 	-0.015726 	-0.014733 	-0.013759 	-0.012709 	-0.011373 	-0.009720 	-0.007778 	-0.005480 	-0.002816 	0.000063 	0.003047 	0.006023 	0.008823 	0.011442 	0.013737 	0.015729 	0.017382 	0.018677 	0.019653 	0.020320 	0.020704 	0.020873 	0.020903 	0.020941 	0.021082 	0.021348 	0.021808 	0.022522 	0.023582 	0.024914 	0.026456 	0.028223 	0.030006 	0.031730 	0.033321 	0.034612 	0.035492 	0.035944 	0.035972 	0.035538 	0.034653 	0.033460 	0.032128 	0.030799 	0.029586 	0.028595 	0.027991 	0.027835 	0.028155 	0.028936 	0.030092 	0.031539 	0.033190 	0.034959 	0.036716 	0.038324 	0.039736 	0.040919 	0.041891 	0.042651 	0.043273 	0.043758 	0.044120 	0.044407 	0.044618 	0.044722 	0.044796 	0.044806 	0.044791 	0.044791 	0.044755 	0.044663 	0.044691 	0.044810 	0.044979 	0.045151 	0.045288 	0.045409 	0.045596 	0.045953 	0.046501 	0.047301 	0.048266 	0.049371 	0.050663 	0.052192 	0.053939 	0.055822 	0.057908 	0.060078 	0.062174 	0.064025 	0.065532 	0.066662 	0.067447 	0.067984 	0.068313 	0.068573 	0.068912 	0.069340 	0.069897 	0.070535 	0.071162 	0.071725 	0.072057 	0.072093 	0.071783 	0.070979 	0.069683 	0.067950 	0.065962 	0.063805 	0.061687 	0.059790 	0.058101 	0.056722 	0.055683 	0.054947 	0.054482 	0.054315 	0.054406 	0.054521 	0.054524 	0.054368 	0.053971 	0.053299 	0.052527 	0.051765 	0.050977 	0.050239 	0.049457 	0.048512 	0.047355 	0.045910 	0.044193 	0.042203 	0.039983 	0.037721 	0.035439 	0.033176 	0.030972 	0.028883 	0.026896 	0.025054 	0.023479 	0.022163 	0.021205 	0.020698 	0.020686 	0.021129 	0.022093 	0.023601 	0.025736 	0.028503 	0.031946 	0.036011 	0.040388 	0.044833 	0.049094 	0.052868 	0.056069 	0.058847 	0.061089 	0.062850 	0.064390 	0.065842 	0.067300 	0.068772 	0.070282 	0.071830 	0.073468 	0.075220 	0.076987 	0.078837 	0.080682 	0.082483 	0.084104 	0.085417 	0.086496 	0.087251 	0.087620 	0.087503 	0.086705 	0.085174 	0.082852 	0.079829 	0.076326 	0.072368 	0.068165 	0.063921 	0.059820 	0.055830 	0.051989 	0.048280 	0.044576 	0.040917 	0.037311 	0.033854 	0.030713 	0.027877 	0.025442 	0.023343 	0.021421 	0.019622 	0.017724 	0.015837 	0.013974 	0.012117 	0.010324 	0.008632 	0.007071 	0.005664 	0.004409 	0.003397 	0.002729 	0.002475 	0.002620 	0.003115 	0.004020 	0.005159 	0.006384 	0.007627 	0.008620 	0.009260 	0.009570 	0.009550 	0.009347 	0.009064 	0.008876 	0.008843 	0.009106 	0.009620 	0.010355 	0.011232 	0.012120 	0.012886 	0.013456 	0.013739 	0.013682 	0.013397 	0.012840 	0.012058 	0.011015 	0.009833 	0.008547 	0.007141 	0.005635 	0.003941 	0.002139 	0.000176 	-0.001975 	-0.004210 	-0.006503 	-0.008647 	-0.010598 	-0.012262 	-0.013456 	-0.014189 	-0.014441 	-0.014374 	-0.014122 	-0.013947 	-0.013849 	-0.013852 	-0.013963 	-0.014235 	-0.014643 	-0.015042 	-0.015411 	-0.015648 	-0.015682 	-0.015382 	-0.014726 	-0.013659 	-0.012260 	-0.010679 	-0.009003 	-0.007471 	-0.006228 	-0.005387 	-0.005110 	-0.005361 	-0.006055 	-0.007099 	-0.008405 	-0.009810 	-0.011286 	-0.012748 	-0.014113 	-0.015431 	-0.016718 	-0.017920 	-0.018977 	-0.019850 	-0.020596 	-0.021140 	-0.021467 	-0.021524 	-0.021220 	-0.020515 	-0.019420 	-0.017933 	-0.016150 	-0.014195 	-0.012033 	-0.009721 	-0.007151 	-0.004226 	-0.000887 	0.002719 	0.006474 	0.010239 	0.013890 	0.017295 	0.020390 	0.023082 	0.025257 	0.026921 	0.028106 	0.028699 	0.028794 	0.028444 	0.027580 	0.026332 	0.024672 	0.022614 	0.020228 	0.017584 	0.014808 	0.011989 	0.009110 	0.006165 	0.003201 	0.000333 	-0.002452 	-0.005122 	-0.007629 	-0.009974 	-0.012159 	-0.014200 	-0.016120 	-0.017922 	-0.019668 	-0.021200 	-0.022561 	-0.023735 	-0.024720 	-0.025557 	-0.026204 	-0.026674 	-0.026973 	-0.027209 	-0.027471 	-0.027747 	-0.028030 	-0.028350 	-0.028671 	-0.028948 	-0.029208 	-0.029395 	-0.029463 	-0.029380 	-0.029206 	-0.028937 	-0.028566 	-0.028230 	-0.027938 	-0.027668 	-0.027202 	-0.026395 	-0.025251 	-0.023680 	-0.021758 	-0.019731 	-0.017754 	-0.015827 	-0.014069 	-0.012468 	-0.011042 	-0.009779 	-0.008765 	-0.007991 	-0.007492 	-0.007226 	-0.007153 	-0.007137 	-0.007093 	-0.006889 	-0.006355 	-0.005364 	-0.004045 	-0.002546 	-0.000905 	0.000731 	0.002279 	0.003593 	0.004649 	0.005554 	0.006240 	0.006754 	0.007169 	0.007483 	0.007656 	0.007705 	0.007583 	0.007303 	0.006902 	0.006275 	0.005580 	0.004894 	0.004230 	0.003670 	0.003228 	0.002910 	0.002690 	0.002494 	0.002257 	0.001962 	0.001568 	0.001085 	0.000454 	-0.000227 	-0.000978 	-0.001559 	-0.001872 	-0.001936 	-0.001689 	-0.001079 	-0.000202 	0.000890 	0.002191 	0.003602 	0.005033 	0.006436 	0.007671 	0.008629 	0.009300 	0.009607 	0.009646 	0.009536 	0.009374 	0.009358 	0.009471 	0.009710 	0.010085 	0.010526 	0.011079 	0.011734 	0.012538 	0.013539 	0.014679 	0.015905 	0.017147 	0.018314 	0.019304 	0.019990 	0.020333 	0.020235 	0.019822 	0.019075 	0.017972 	0.016577 	0.014844 	0.012877 	0.010805 	0.008816 	0.007098 	0.005635 	0.004465 	0.003599 	0.003083 	0.002958 	0.003188 	0.003742 	0.004556 	0.005634 	0.006849 	0.008089 	0.009317 	0.010517 	0.011696 	0.012798 	0.013814 	0.014700 	0.015500 	0.016267 	0.016914 	0.017483 	0.017922 	0.018139 	0.018091 	0.017650 	0.016743 	0.015315 	0.013429 	0.011355 	0.009307 	0.007451 	0.005986 	0.004942 	0.004439 	0.004482 	0.004932 	0.005814 	0.006916 	0.008069 	0.009162 	0.010088 	0.010779 	0.011226 	0.011447 	0.011440 	0.011214 	0.010797 	0.010262 	0.009652 	0.009127 	0.008775 	0.008651 	0.008684 	0.008804 	0.009011 	0.009162 	0.009357 	0.009532 	0.009732 	0.009994 	0.010166 	0.010221 	0.010043 	0.009683 	0.009208 	0.008625 	0.007981 	0.007318 	0.006702 	0.006157 	0.005777 	0.005531 	0.005438 	0.005514 	0.005750 	0.006033 	0.006388 	0.006815 	0.007275 	0.007824 	0.008440 	0.009110 	0.009840 	0.010655 	0.011593 	0.012622 	0.013785 	0.014920 	0.015956 	0.016886 	0.017574 	0.018105 	0.018494 	0.018769 	0.018906 	0.018904 	0.018762 	0.018575 	0.018394 	0.018199 	0.017996 	0.017686 	0.017367 	0.017027 	0.016710 	0.016411 	0.016101 	0.015782 	0.015404 	0.014924 	0.014339 	0.013690 	0.012953 	0.012122 	0.011237 	0.010309 	0.009325 	0.008347 	0.007521 	0.006783 	0.006232 	0.005869 	0.005681 	0.005581 	0.005490 	0.005307 	0.004927 	0.004538 	0.004154 	0.003818 	0.003572 	0.003457 	0.003534 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0.999995 	0.999923 	0.999706 	0.999346 	0.998844 	0.998201 	0.997419 	0.996496 	0.995436 	0.994240 	0.992909 	0.991445 	0.989849 	0.988125 	0.986275 	0.984300 	0.982205 	0.979992 	0.977663 	0.975220 	0.972666 	0.970003 	0.967234 	0.964365 	0.961398 	0.958331 	0.955173 	0.951925 	0.948589 	0.945169 	0.941667 	0.938084 	0.934421 	0.930683 	0.926875 	0.922997 	0.919053 	0.915048 	0.910981 	0.906856 	0.902674 	0.898436 	0.894149 	0.889817 	0.885441 	0.881021 	0.876564 	0.872068 	0.867536 	0.862969 	0.858371 	0.853748 	0.849097 	0.844428 	0.839741 	0.835032 	0.830306 	0.825565 	0.820812 	0.816049 	0.811278 	0.806500 	0.801719 	0.796932 	0.792144 	0.787356 	0.782566 	0.777775 	0.772985 	0.768199 	0.763418 	0.758641 	0.753873 	0.749114 	0.744361 	0.739615 	0.734879 	0.730156 	0.725447 	0.720751 	0.716064 	0.711388 	0.706728 	0.702083 	0.697455 	0.692841 	0.688243 	0.683664 	0.679102 	0.674556 	0.670030 	0.665525 	0.661045 	0.656589 	0.652153 	0.647739 	0.643346 	0.638974 	0.634628 	0.630310 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0.999995 	0.999868 	0.999491 	0.998867 	0.997998 	0.996889 	0.995543 	0.993965 	0.992159 	0.990128 	0.987878 	0.985412 	0.982737 	0.979860 	0.976786 	0.973522 	0.970072 	0.966441 	0.962632 	0.958654 	0.954515 	0.950225 	0.945781 	0.941188 	0.936457 	0.931596 	0.926610 	0.921504 	0.916283 	0.910956 	0.905528 	0.900005 	0.894394 	0.888705 	0.882939 	0.877103 	0.871201 	0.865233 	0.859212 	0.853142 	0.847028 	0.840869 	0.834673 	0.828445 	0.822182 	0.815886 	0.809572 	0.803243 	0.796900 	0.790545 	0.784181 	0.777818 	0.771457 	0.765092 	0.758730 	0.752375 	0.746030 	0.739698 	0.733379 	0.727074 	0.720785 	0.714513 	0.708266 	0.702049 	0.695861 	0.689699 	0.683563 	0.677452 	0.671367 	0.665316 	0.659300 	0.653328 	0.647403 	0.641517 	0.635670 	0.629857 	0.624089 	0.618366 	0.612683 	0.607045 	0.601451 	0.595908 	0.590415 	0.584972 	0.579580 	0.574231 	0.568925 	0.563674 	0.558482 	0.553340 	0.548247 	0.543201 	0.538204 	0.533256 	0.528362 	0.523519 	0.518726 	0.513983 	0.509290 	0.504651 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0.999995 	0.999870 	0.999497 	0.998879 	0.998015 	0.996909 	0.995564 	0.993980 	0.992162 	0.990114 	0.987840 	0.985346 	0.982639 	0.979720 	0.976596 	0.973271 	0.969754 	0.966051 	0.962171 	0.958116 	0.953888 	0.949497 	0.944951 	0.940258 	0.935421 	0.930451 	0.925354 	0.920132 	0.914792 	0.909345 	0.903799 	0.898158 	0.892433 	0.886628 	0.880746 	0.874793 	0.868774 	0.862696 	0.856569 	0.850395 	0.844179 	0.837921 	0.831626 	0.825305 	0.818961 	0.812592 	0.806204 	0.799808 	0.793403 	0.786992 	0.780579 	0.774165 	0.767754 	0.761347 	0.754947 	0.748555 	0.742182 	0.735833 	0.729504 	0.723191 	0.716898 	0.710626 	0.704379 	0.698162 	0.691976 	0.685821 	0.679700 	0.673611 	0.667554 	0.661538 	0.655559 	0.649614 	0.643708 	0.637844 	0.632023 	0.626238 	0.620494 	0.614789 	0.609127 	0.603509 	0.597935 	0.592407 	0.586925 	0.581488 	0.576095 	0.570751 	0.565452 	0.560198 	0.554989 	0.549828 	0.544721 	0.539664 	0.534652 	0.529685 	0.524762 	0.519887 	0.515062 	0.510287 	0.505556 	0.500869 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