%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%% %%%%%% %%%%%% Turbulent Pouiseille Channel Flow %%%%%% %%%%%% with Heat Transfer %%%%%% %%%%%% %%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%% %%%%%% %%%%%% Supported by %%%%%% %%%%%% MINECO/FEDER, ENE2015-71333-R %%%%%% %%%%%% MINECO/FEDER, RTI2018-102256-B-I00 %%%%%% %%%%%% GVA/FEDER project ACIF2018. %%%%%% %%%%%% %%%%%% %%%%%% %%%%%% %%%%%% 2016 - 2021 %%%%%% %%%%%% %%%%%% %%%%%% %%%%%% %%%%%% Chair of Aerospace Engineering %%%%%% %%%%%% IUMPA %%%%%% %%%%%% %%%%%% %%%%%% Universitat Politecnica de Valencia, %%%%%% %%%%%% Camino de Vera, s/n 46022 Valencia, Spain %%%%%% %%%%%% %%%%%% %%%%%% Contact: sergio.hoyas@mot.upv.es %%%%%% %%%%%% Contact: fraalvi@alumni.upv.es %%%%%% %%%%%% %%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%% %%%%%% %%%%%% <<< CAUTION >>> %%%%%% %%%%%% %%%%%% %%%%%% All rights are reserved by the authors. %%%%%% %%%%%% No part of the data described herein may be represented %%%%%% %%%%%% without reference. The data base may be used without %%%%%% %%%%%% notification to the author's laboratory, asuming that %%%%%% %%%%%% it has been properly cited. %%%%%% %%%%%% %%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% %% %% REFERENCES: %% %% %% %% - Method: %% %% %% %% Lluesma-Rodriguez, F., Alcantara-Avila, F., Perez-Quiles, M.J., %% %% Hoyas S. %% %% A Code for Simulating Heat Transfer in Turbulent Channel Flow %% %% Mathematics 2021, 9(7), 756; %% %% ------------------------------------------------------------ %% %% %% %% - Data & discussion: %% %% %% %% Alcantara-Avila, F., Hoyas, S., Perez-Quiles, M.J. %% %% Direct Numerical Simulation of thermal channel flow for %% %% Re_\tau = 5000 and Pr = 0.71. %% %% Journal of Fluid Mechanics, 2021, Vol916, 10 June 2021 , A29. %% %% ------------------------------------------------------------ %% %% Alcantara-Avila, F., Hoyas, S. %% %% Direct numerical simulation of thermal channel flow for %% %% medium-high Prandtl numbers up to Re_\tau=2000, %% %% International Journal of Heat and Mass Transfer, 176, 2021 %% %% ------------------------------------------------------------ %% %% Alcantara-Avila, F., Hoyas, S., Perez-Quiles, M.J. %% %% DNS of thermal channel flow up to Re\_tau =2000 for medium to %% %% low Prandtl numbers %% %% IJHMT, 2018, 127, pp. 349-361 %% %% ------------------------------------------------------------ %% %% Lluesma-Rodriguez, F., Hoyas, S., Perez-Quiles, M.J. %% %% Influence of the computational domain on DNS of turbulent heat %% %% transfer up to Re_\tau=2000 for Pr=0.71 %% %% IJHMT, 122, pp. 983-992 %% %% %% %% NOMENCLATURE: %% %% x = streamwise coordinate %% %% y = wall-normal coordinate %% %% z = spanwise coordinate %% %% h = channel half-width %% %% U = mean streamwise velocity %% %% Th = thermal field %% %% utau = friction velocity %% %% Ttau = friction temperature %% %% nu = kinematic viscosity %% %% Retau = Reynolds number utau*h/nu %% %% Pr = Prandtl number %% %% Nu = Nusselt number %% %% theta' = rms values of temperatures fluctuations %% %% th'*u', th'*v' = Thermal fluxes %% %% (.)+ = normalized by utau, Ttau and nu %% %% %% %% %% %% BOX SIZE in h (x,y,z): 2pi|2|1pi %% %% FLOW CONDITIONS: Retau = 1018 (Re = 23000), Pr=0.5000 %% %% utau = 0.044267 %% %% Ttau = 1.004401 %% %% Nu = 69.656679 %% %% %% %% Data file created: April 06, 2018 %% %% %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % y/h y+ U+ Th+ u' v' w' th'+ u'v'+ th'u'+ th'v'+ dU+/dy+ dTh+/dy+ 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00066539 0.50011385 0.00043504 0.44293086 0.44311509 0.22151243 0.18493214 0.00257535 0.11624622 0.09846956 -0.00009359 0.01507446 -0.00004617 1.00012565 0.50008725 0.00099239 1.01039748 1.01027254 0.50523865 0.41981269 0.01118880 0.24773083 0.22458675 -0.00114797 0.07921577 -0.00056041 0.99851630 0.49982112 0.00166829 1.69856000 1.69591089 0.84888016 0.70141189 0.02830113 0.38513559 0.37697814 -0.00558129 0.22574300 -0.00272344 0.99340431 0.49871646 0.00245916 2.50377916 2.49118123 1.24937462 1.02189793 0.05479289 0.52008208 0.55299200 -0.01777033 0.49047648 -0.00876826 0.98042504 0.49565313 0.00336160 3.42260400 3.38086415 1.70202710 1.36564131 0.09042672 0.64654838 0.74775959 -0.04331561 0.90005964 -0.02189208 0.95397597 0.48902446 0.00437243 4.45176916 4.34101626 2.19959657 1.70936086 0.13415598 0.76119632 0.95382472 -0.08683049 1.45565563 -0.04551477 0.90944950 0.47711567 0.00548858 5.58817385 5.33946557 2.73181110 2.02754229 0.18449402 0.86312088 1.16186225 -0.14948142 2.12313661 -0.08208895 0.84568180 0.45869301 0.00670716 6.82887363 6.33989369 3.28575191 2.29959992 0.23982529 0.95309715 1.36227207 -0.22803019 2.83956471 -0.13207576 0.76591318 0.43352142 0.00802543 8.17106241 7.30787725 3.84711303 2.51428297 0.29859153 1.03255095 1.54687513 -0.31598742 3.53302114 -0.19365742 0.67663794 0.40250515 0.00944076 9.61207028 8.21619889 4.40192564 2.66986910 0.35935996 1.10283114 1.71000316 -0.40589484 4.14337097 -0.26327000 0.58531447 0.36742385 0.01095065 11.14935829 9.04754370 4.93814254 2.77151003 0.42082409 1.16487034 1.84875234 -0.49140715 4.63381578 -0.33659718 0.49829332 0.33043401 0.01255272 12.78050407 9.79433042 5.44664905 2.82788078 0.48179896 1.21924264 1.96259903 -0.56835137 4.99158498 -0.40953679 0.41974658 0.29358646 0.01424471 14.50319707 10.45667804 5.92158227 2.84853016 0.54123752 1.26634699 2.05273445 -0.63479377 5.22207453 -0.47883835 0.35161336 0.25850688 0.01602444 16.31522609 11.03973630 6.36007977 2.84232664 0.59826231 1.30657804 2.12139729 -0.69050245 5.34135493 -0.54234209 0.29412486 0.22627624 0.01788985 18.21447891 11.55130573 6.76170070 2.81680776 0.65219257 1.34041719 2.17134044 -0.73627894 5.36998463 -0.59892078 0.24648425 0.19745953 0.01983894 20.19893957 12.00010714 7.12773813 2.77805144 0.70255275 1.36844026 2.20545278 -0.77339096 5.32888051 -0.64826138 0.20742279 0.17221465 0.02186982 22.26667641 12.39472556 7.46057817 2.73080868 0.74906008 1.39128693 2.22651594 -0.80321370 5.23705060 -0.69060675 0.17556942 0.15042170 0.02398069 24.41584187 12.74306202 7.76318427 2.67870791 0.79159753 1.40960645 2.23706496 -0.82702916 5.11058492 -0.72652639 0.14964155 0.13179733 0.02616978 26.64466131 13.05211679 8.03872136 2.62446952 0.83017868 1.42402053 2.23932237 -0.84595197 4.96242927 -0.75674298 0.12852837 0.11598167 0.02843544 28.95143214 13.32795610 8.29030871 2.57008167 0.86491276 1.43510391 2.23517962 -0.86090744 4.80254611 -0.78201572 0.11130451 0.10259643 0.03077606 31.33452378 13.57577419 8.52087349 2.51695394 0.89597430 1.44335999 2.22620848 -0.87264986 4.63831521 -0.80306959 0.09721866 0.09128037 0.03319010 33.79237073 13.79998858 8.73307790 2.46604908 0.92357826 1.44921521 2.21368690 -0.88178541 4.47500423 -0.82055676 0.08566534 0.08170853 0.03567609 36.32346948 14.00433767 8.92929560 2.41798354 0.94796184 1.45303170 2.19863791 -0.88880552 4.31622862 -0.83504581 0.07615570 0.07359768 0.03823260 38.92637469 14.19196558 9.11161116 2.37311247 0.96937264 1.45511942 2.18187138 -0.89410687 4.16434893 -0.84702504 0.06829436 0.06670465 0.04085827 41.59969351 14.36550666 9.28183414 2.33159781 0.98806239 1.45574445 2.16401586 -0.89800789 4.02076412 -0.85690746 0.06176503 0.06082381 0.04355179 44.34208560 14.52716121 9.44152053 2.29346377 1.00428163 1.45512626 2.14555389 -0.90076635 3.88619001 -0.86504167 0.05631130 0.05578173 0.04631188 47.15226312 14.67875645 9.59199530 2.25863380 1.01827366 1.45344217 2.12685258 -0.90258950 3.76085980 -0.87171930 0.05172751 0.05143331 0.04913733 50.02898557 14.82181296 9.73438231 2.22696130 1.03026904 1.45084645 2.10818172 -0.90364118 3.64465268 -0.87717638 0.04785131 0.04766125 0.05202697 52.97105728 14.95759297 9.86963938 2.19825666 1.04048200 1.44748049 2.08973478 -0.90405637 3.53722968 -0.88160328 0.04454890 0.04437094 0.05497966 55.97732625 15.08713431 9.99858295 2.17229159 1.04910924 1.44346559 2.07164744 -0.90394476 3.43812369 -0.88515834 0.04171177 0.04148377 0.05799431 59.04667882 15.21129116 10.12190740 2.14880233 1.05633184 1.43889997 2.05400775 -0.90339253 3.34676092 -0.88797154 0.03925474 0.03893529 0.06106986 62.17803965 15.33076684 10.24020703 2.12753157 1.06231633 1.43387048 2.03686834 -0.90247062 3.26251783 -0.89014618 0.03710786 0.03667431 0.06420529 65.37037176 15.44613328 10.35399576 2.10824914 1.06721442 1.42845891 2.02026021 -0.90123784 3.18478493 -0.89176775 0.03521331 0.03465840 0.06739963 68.62267575 15.55785597 10.46371464 2.09074288 1.07116308 1.42273864 2.00420423 -0.89973875 3.11299154 -0.89291113 0.03352736 0.03285049 0.07065193 71.93398342 15.66632348 10.56973901 2.07480273 1.07428707 1.41675829 1.98870799 -0.89800689 3.04658655 -0.89363933 0.03201742 0.03121922 0.07396125 75.30336141 15.77186354 10.67238920 2.06023364 1.07669806 1.41055885 1.97376490 -0.89607085 2.98507069 -0.89400251 0.03065553 0.02973986 0.07732673 78.72990575 15.87474555 10.77194447 2.04687929 1.07849235 1.40418658 1.95936702 -0.89395631 2.92802338 -0.89404035 0.02941653 0.02839253 0.08074749 82.21274049 15.97518773 10.86864650 2.03461015 1.07975375 1.39768892 1.94551566 -0.89168368 2.87510291 -0.89378991 0.02828087 0.02715908 0.08422270 85.75101771 16.07337341 10.96270548 2.02329691 1.08055698 1.39111114 1.93220858 -0.88926687 2.82596863 -0.89327735 0.02723507 0.02602648 0.08775157 89.34391753 16.16946486 11.05431682 2.01281376 1.08096590 1.38450063 1.91942999 -0.88671644 2.78027650 -0.89251983 0.02626980 0.02498667 0.09133330 92.99064773 16.26361169 11.14366359 2.00304900 1.08103363 1.37789609 1.90715385 -0.88404041 2.73767048 -0.89153817 0.02537730 0.02402935 0.09496715 96.69043854 16.35594603 11.23090197 1.99391274 1.08080417 1.37132021 1.89535607 -0.88125017 2.69782744 -0.89035804 0.02454750 0.02314213 0.09865239 100.44254597 16.44657632 11.31616351 1.98533001 1.08031565 1.36478749 1.88401053 -0.87835419 2.66047232 -0.88899508 0.02377193 0.02231709 0.10238830 104.24624823 16.53559982 11.39957279 1.97721856 1.07960401 1.35831339 1.87309019 -0.87535777 2.62534707 -0.88745614 0.02304671 0.02155114 0.10617419 108.10084398 16.62311085 11.48125306 1.96949323 1.07870116 1.35191822 1.86256849 -0.87226483 2.59221154 -0.88575040 0.02236819 0.02083955 0.11000941 112.00565242 16.70919431 11.56131266 1.96208405 1.07763126 1.34561937 1.85242201 -0.86908267 2.56086326 -0.88389344 0.02173039 0.02017483 0.11389329 115.96001324 16.79391872 11.63984542 1.95494662 1.07641208 1.33942068 1.84261605 -0.86581698 2.53109876 -0.88189298 0.02112744 0.01955304 0.11782522 119.96328666 16.87734078 11.71694219 1.94806027 1.07505872 1.33331657 1.83311134 -0.86247253 2.50275349 -0.87975548 0.02055552 0.01897123 0.12180457 124.01485218 16.95950880 11.79268387 1.94140139 1.07358547 1.32730466 1.82387735 -0.85905261 2.47568298 -0.87749170 0.02001090 0.01842404 0.12583077 128.11410505 17.04046199 11.86713733 1.93494250 1.07200469 1.32138314 1.81489290 -0.85556088 2.44974821 -0.87511097 0.01949062 0.01790715 0.12990322 132.26046007 17.12023810 11.94036229 1.92866015 1.07032664 1.31555367 1.80613889 -0.85199697 2.42482509 -0.87261729 0.01899454 0.01741862 0.13402138 136.45334744 17.19888063 12.01242041 1.92252954 1.06855912 1.30981838 1.79760172 -0.84836185 2.40082151 -0.87001069 0.01852246 0.01695867 0.13818470 140.69221235 17.27642891 12.08338080 1.91652845 1.06670848 1.30416605 1.78927120 -0.84465922 2.37767792 -0.86729035 0.01807046 0.01652775 0.14239264 144.97651494 17.35290837 12.15331595 1.91062808 1.06477949 1.29858549 1.78114202 -0.84089356 2.35534980 -0.86445994 0.01763522 0.01612439 0.14664470 149.30573034 17.42834090 12.22228789 1.90479049 1.06277704 1.29308439 1.77321355 -0.83706533 2.33377797 -0.86153145 0.01721636 0.01574250 0.15094037 153.67934865 17.50275155 12.29032580 1.89898810 1.06070761 1.28766399 1.76548988 -0.83317575 2.31291405 -0.85852527 0.01681423 0.01537229 0.15527916 158.09687471 17.57617124 12.35742891 1.89320696 1.05857719 1.28231566 1.75796745 -0.82922446 2.29269756 -0.85544819 0.01642941 0.01501035 0.15966060 162.55782439 17.64863144 12.42360267 1.88744273 1.05639284 1.27702227 1.75063544 -0.82521501 2.27307207 -0.85229297 0.01605985 0.01466060 0.16408424 167.06172793 17.72015303 12.48887245 1.88168772 1.05416543 1.27176964 1.74348190 -0.82115022 2.25396944 -0.84905303 0.01570254 0.01432627 0.16854961 171.60812773 17.79075474 12.55327492 1.87592958 1.05190924 1.26654165 1.73648055 -0.81703006 2.23532015 -0.84572748 0.01535875 0.01400808 0.17305628 176.19657701 17.86046423 12.61684956 1.87015348 1.04963490 1.26132908 1.72960125 -0.81285467 2.21706403 -0.84231705 0.01502841 0.01370562 0.17760382 180.82663987 17.92929918 12.67963200 1.86435440 1.04734599 1.25613244 1.72282805 -0.80862889 2.19915767 -0.83882782 0.01470725 0.01341604 0.18219182 185.49789125 17.99726432 12.74164287 1.85853122 1.04504097 1.25094418 1.71614785 -0.80435443 2.18155727 -0.83526675 0.01439398 0.01313584 0.18681986 190.20991696 18.06436879 12.80289597 1.85267919 1.04271591 1.24575502 1.70954221 -0.80002944 2.16421666 -0.83163447 0.01409048 0.01286487 0.19148756 194.96231365 18.13063246 12.86341324 1.84679571 1.04036671 1.24055937 1.70298969 -0.79565338 2.14706625 -0.82792628 0.01379826 0.01260582 0.19619452 199.75468858 18.19607945 12.92322918 1.84088551 1.03798847 1.23534139 1.69647779 -0.79122655 2.13003167 -0.82414105 0.01351678 0.01235945 0.20094037 204.58665641 18.26073183 12.98237690 1.83495384 1.03557731 1.23008878 1.69000432 -0.78675051 2.11310672 -0.82028184 0.01324569 0.01212459 0.20572474 209.45784259 18.32461621 13.04088582 1.82899233 1.03313171 1.22479964 1.68357417 -0.78222366 2.09631942 -0.81635233 0.01298613 0.01189947 0.21054727 214.36788135 18.38776371 13.09877233 1.82298622 1.03065163 1.21948953 1.67719471 -0.77764816 2.07967243 -0.81236060 0.01273765 0.01168048 0.21540760 219.31641459 18.45019885 13.15604131 1.81691814 1.02813763 1.21416704 1.67085986 -0.77302621 2.06312950 -0.80830864 0.01249764 0.01146660 0.22030540 224.30309192 18.51193517 13.21270215 1.81078182 1.02558830 1.20884854 1.66454689 -0.76836108 2.04664143 -0.80419276 0.01226427 0.01126000 0.22524033 229.32757065 18.57298484 13.26877779 1.80458391 1.02299952 1.20356669 1.65822580 -0.76365138 2.03015346 -0.80000801 0.01203825 0.01106280 0.23021206 234.38951578 18.63336577 13.32429524 1.79834322 1.02036855 1.19834998 1.65188505 -0.75889756 2.01366239 -0.79575682 0.01182005 0.01087381 0.23522027 239.48860003 18.69309445 13.37927289 1.79207740 1.01769599 1.19319573 1.64552990 -0.75410006 1.99720614 -0.79144220 0.01160842 0.01069120 0.24026463 244.62450380 18.75218334 13.43372662 1.78579039 1.01498577 1.18809275 1.63917059 -0.74926030 1.98082667 -0.78706390 0.01140314 0.01051530 0.24534486 249.79691416 18.81065104 13.48767476 1.77948172 1.01224320 1.18303364 1.63282116 -0.74437535 1.96457587 -0.78262235 0.01120610 0.01034581 0.25046063 255.00552315 18.86852300 13.54113139 1.77315538 1.00947266 1.17800417 1.62648846 -0.73944712 1.94850635 -0.77812116 0.01101683 0.01018144 0.25561167 260.25003103 18.92581573 13.59410680 1.76681458 1.00667701 1.17300397 1.62016942 -0.73447709 1.93263332 -0.77356144 0.01083267 0.01002167 0.26079768 265.53014345 18.98253134 13.64660602 1.76046055 1.00385820 1.16804646 1.61386120 -0.72947032 1.91693963 -0.76894860 0.01065030 0.00986424 0.26601837 270.84557119 19.03865905 13.69861973 1.75408325 1.00102020 1.16313700 1.60755037 -0.72442661 1.90139605 -0.76428761 0.01046903 0.00970670 0.27127347 276.19603018 19.09419050 13.75013177 1.74767322 0.99816989 1.15826953 1.60120858 -0.71934792 1.88592756 -0.75958009 0.01028881 0.00954863 0.27656270 281.58124150 19.14911368 13.80113014 1.74123677 0.99531279 1.15341790 1.59480740 -0.71423356 1.87045033 -0.75482193 0.01010955 0.00939235 0.28188580 287.00093138 19.20342370 13.85162148 1.73477872 0.99244968 1.14854944 1.58833279 -0.70908315 1.85491132 -0.75000706 0.00993284 0.00924140 0.28724249 292.45483121 19.25712243 13.90162488 1.72829116 0.98957716 1.14365701 1.58179452 -0.70389439 1.83930692 -0.74513466 0.00976010 0.00909639 0.29263253 297.94267752 19.31022329 13.95115628 1.72176064 0.98669107 1.13875531 1.57521741 -0.69866622 1.82370542 -0.74020881 0.00959331 0.00895552 0.29805566 303.46421158 19.36274862 14.00021833 1.71518235 0.98378863 1.13386557 1.56861744 -0.69339704 1.80817320 -0.73523596 0.00943378 0.00881568 0.30351162 309.01917677 19.41472473 14.04879724 1.70856249 0.98086839 1.12901563 1.56199632 -0.68808868 1.79270207 -0.73022167 0.00928056 0.00867446 0.30900017 314.60732245 19.46616826 14.09687472 1.70189047 0.97792775 1.12421676 1.55534267 -0.68274263 1.77719830 -0.72516454 0.00913204 0.00853280 0.31452106 320.22840152 19.51709155 14.14444520 1.69515642 0.97496319 1.11945090 1.54864776 -0.67736114 1.76156441 -0.72005902 0.00898721 0.00839378 0.32007407 325.88216977 19.56749873 14.19152024 1.68835846 0.97197125 1.11470271 1.54191087 -0.67194556 1.74575920 -0.71489995 0.00884458 0.00825996 0.32565894 331.56838586 19.61738681 14.23812194 1.68149011 0.96894819 1.10996478 1.53513926 -0.66649843 1.72980858 -0.70968542 0.00870252 0.00813243 0.33127545 337.28681137 19.66674688 14.28428100 1.67452557 0.96588909 1.10526018 1.52834971 -0.66101889 1.71376664 -0.70441128 0.00856169 0.00801317 0.33692336 343.03721076 19.71558632 14.33003499 1.66745494 0.96278851 1.10061067 1.52154808 -0.65550339 1.69765850 -0.69907979 0.00842596 0.00790101 0.34260245 348.81935136 19.76393045 14.37540256 1.66028058 0.95964286 1.09601510 1.51471531 -0.64994929 1.68147481 -0.69369981 0.00829722 0.00779168 0.34831248 354.63300341 19.81180814 14.42038695 1.65301808 0.95644993 1.09145907 1.50782311 -0.64435823 1.66520388 -0.68827323 0.00817450 0.00768425 0.35405325 360.47794005 19.85924166 14.46499477 1.64569357 0.95320673 1.08692621 1.50085941 -0.63873027 1.64884572 -0.68279716 0.00805727 0.00758036 0.35982452 366.35393611 19.90625726 14.50924341 1.63831245 0.94991020 1.08239316 1.49382406 -0.63306515 1.63241289 -0.67726887 0.00794658 0.00748123 0.36562607 372.26076684 19.95288781 14.55314641 1.63085404 0.94655846 1.07784532 1.48672713 -0.62736107 1.61592619 -0.67169416 0.00784348 0.00738390 0.37145770 378.19821140 19.99916622 14.59669405 1.62331451 0.94314992 1.07328190 1.47958663 -0.62162146 1.59940337 -0.66608030 0.00774565 0.00728460 0.37731917 384.16604975 20.04510052 14.63986724 1.61570393 0.93968475 1.06869875 1.47241081 -0.61585061 1.58285306 -0.66042492 0.00764830 0.00718423 0.38321028 390.16406247 20.09068307 14.68266264 1.60801848 0.93616879 1.06408216 1.46520688 -0.61005077 1.56628775 -0.65472050 0.00755122 0.00708639 0.38913082 396.19203080 20.13591380 14.72509494 1.60024096 0.93261212 1.05942772 1.45798953 -0.60421935 1.54972365 -0.64896378 0.00745623 0.00699284 0.39508056 402.24973660 20.18079812 14.76718017 1.59238411 0.92902439 1.05473531 1.45077171 -0.59835886 1.53317261 -0.64315771 0.00736291 0.00690233 0.40105929 408.33696236 20.22533635 14.80892357 1.58447825 0.92541078 1.05001115 1.44354755 -0.59246852 1.51661124 -0.63730716 0.00727089 0.00681296 0.40706681 414.45349121 20.26953719 14.85032630 1.57654386 0.92177183 1.04525804 1.43628090 -0.58654675 1.49997310 -0.63141076 0.00718304 0.00672566 0.41310289 420.59910692 20.31342521 14.89140008 1.56858370 0.91810626 1.04047714 1.42893796 -0.58059201 1.48320562 -0.62546614 0.00710036 0.00664170 0.41916733 426.77359387 20.35701538 14.93215260 1.56058930 0.91441185 1.03566554 1.42151237 -0.57460860 1.46632330 -0.61947877 0.00701903 0.00655850 0.42525992 432.97673550 20.40030091 14.97257398 1.55252695 0.91068548 1.03082139 1.41400879 -0.56859897 1.44935801 -0.61345283 0.00693704 0.00647393 0.43138043 439.20831355 20.44327612 15.01265256 1.54435693 0.90692271 1.02594973 1.40642793 -0.56256141 1.43228984 -0.60738595 0.00685602 0.00638935 0.43752866 445.46811132 20.48594408 15.05238651 1.53605866 0.90311847 1.02106397 1.39876857 -0.55649653 1.41506452 -0.60127602 0.00677654 0.00630588 0.44370440 451.75591039 20.52830100 15.09177930 1.52762331 0.89927288 1.01617665 1.39101754 -0.55040675 1.39763870 -0.59512093 0.00669576 0.00622472 0.44990742 458.07149048 20.57032658 15.13084854 1.51903975 0.89539646 1.01128131 1.38314715 -0.54429387 1.37999146 -0.58891468 0.00661268 0.00614869 0.45613750 464.41462947 20.61200786 15.16962462 1.51029510 0.89150458 1.00635024 1.37514897 -0.53815468 1.36214394 -0.58265625 0.00652979 0.00607827 0.46239444 470.78510340 20.65334958 15.20812973 1.50139147 0.88760899 1.00137557 1.36703761 -0.53198653 1.34416230 -0.57635135 0.00645029 0.00601052 0.46867800 477.18268646 20.69437558 15.24636467 1.49234885 0.88371375 0.99637163 1.35883270 -0.52578785 1.32610509 -0.57000679 0.00637602 0.00594217 0.47498796 483.60715103 20.73510928 15.28431368 1.48318704 0.87981736 0.99135683 1.35054538 -0.51956073 1.30799595 -0.56362680 0.00630516 0.00587129 0.48132410 490.05826760 20.77555706 15.32195483 1.47393217 0.87591568 0.98635461 1.34217572 -0.51330909 1.28985007 -0.55721144 0.00623439 0.00579823 0.48768619 496.53580487 20.81570572 15.35927577 1.46461056 0.87200582 0.98136529 1.33371549 -0.50703438 1.27168308 -0.55075648 0.00616168 0.00572516 0.49407400 503.03952702 20.85554314 15.39627554 1.45522677 0.86808648 0.97636746 1.32516610 -0.50073494 1.25349349 -0.54426087 0.00608939 0.00565300 0.50048729 509.56919513 20.89507606 15.43295022 1.44575915 0.86415518 0.97132593 1.31653930 -0.49440755 1.23527007 -0.53772847 0.00601983 0.00557989 0.50692583 516.12456846 20.93431775 15.46928093 1.43619891 0.86020502 0.96621973 1.30785759 -0.48805309 1.21702166 -0.53116396 0.00595300 0.00550394 0.51338938 522.70540172 20.97327832 15.50524608 1.42654863 0.85622625 0.96105387 1.29913862 -0.48167173 1.19877497 -0.52456486 0.00588776 0.00542631 0.51987768 529.31144501 21.01195821 15.54083800 1.41681955 0.85221421 0.95582817 1.29037949 -0.47526584 1.18054685 -0.51792647 0.00582271 0.00534968 0.52639050 535.94244388 21.05035098 15.57606583 1.40703159 0.84817195 0.95053700 1.28156626 -0.46883566 1.16238027 -0.51124424 0.00575692 0.00527625 0.53292757 542.59813930 21.08844529 15.61095094 1.39721541 0.84410504 0.94518791 1.27268559 -0.46238271 1.14432568 -0.50451616 0.00569016 0.00520728 0.53948864 549.27826763 21.12623251 15.64551232 1.38737251 0.84001782 0.93979393 1.26373997 -0.45590559 1.12637999 -0.49774704 0.00562325 0.00514017 0.54607345 555.98256071 21.16371052 15.67974369 1.37748588 0.83591355 0.93436748 1.25474447 -0.44940420 1.10851519 -0.49094466 0.00555734 0.00507129 0.55268172 562.71074576 21.20088268 15.71362822 1.36754592 0.83179498 0.92892752 1.24568938 -0.44287782 1.09069289 -0.48410773 0.00549250 0.00500108 0.55931318 569.46254496 21.23775108 15.74715703 1.35755550 0.82766487 0.92347472 1.23656507 -0.43632702 1.07288611 -0.47723423 0.00542887 0.00493076 0.56596756 576.23767227 21.27431982 15.78032375 1.34753449 0.82352540 0.91800461 1.22737572 -0.42975160 1.05510078 -0.47032446 0.00536622 0.00485985 0.57264456 583.03583771 21.31058952 15.81311931 1.33750861 0.81937731 0.91252323 1.21812529 -0.42315171 1.03739133 -0.46337808 0.00530457 0.00478867 0.57934390 589.85674482 21.34656784 15.84554409 1.32748284 0.81522385 0.90702348 1.20880130 -0.41652565 1.01980771 -0.45639109 0.00524539 0.00471920 0.58606528 596.70008992 21.38227198 15.87760592 1.31744476 0.81107083 0.90149738 1.19938792 -0.40987142 1.00234484 -0.44936471 0.00519009 0.00465117 0.59280839 603.56556214 21.41772522 15.90930720 1.30737707 0.80692135 0.89595192 1.18987631 -0.40318960 0.98494532 -0.44230000 0.00513827 0.00458410 0.59957292 610.45284342 21.45293914 15.94065274 1.29724328 0.80277541 0.89041429 1.18026327 -0.39648149 0.96755093 -0.43519675 0.00508758 0.00451857 0.60635855 617.36160847 21.48791166 15.97164436 1.28700731 0.79863583 0.88487179 1.17056082 -0.38974973 0.95014018 -0.42805839 0.00503643 0.00445291 0.61316496 624.29152482 21.52263708 16.00227053 1.27665180 0.79451093 0.87929596 1.16078933 -0.38299243 0.93271352 -0.42088819 0.00498576 0.00438581 0.61999181 631.24225279 21.55712032 16.03252216 1.26617792 0.79040789 0.87367746 1.15096412 -0.37621004 0.91526022 -0.41368321 0.00493658 0.00431897 0.62683875 638.21344550 21.59136221 16.06239777 1.25558640 0.78632743 0.86802713 1.14110464 -0.36940363 0.89777768 -0.40644450 0.00488705 0.00425211 0.63370545 645.20474731 21.62535143 16.09189302 1.24487892 0.78226339 0.86237028 1.13122320 -0.36257576 0.88030459 -0.39917057 0.00483607 0.00418605 0.64059154 652.21579380 21.65907681 16.12101788 1.23406534 0.77820839 0.85671380 1.12131136 -0.35572500 0.86288234 -0.39185820 0.00478457 0.00412254 0.64749666 659.24621274 21.69253007 16.14977867 1.22318724 0.77415617 0.85105166 1.11137491 -0.34885364 0.84553788 -0.38451320 0.00473167 0.00405908 0.65442043 666.29562344 21.72568670 16.17816477 1.21228971 0.77010318 0.84535724 1.10142310 -0.34196459 0.82828161 -0.37713899 0.00467445 0.00399426 0.66136247 673.36363670 21.75851120 16.20616508 1.20138671 0.76604964 0.83961753 1.09145511 -0.33505847 0.81111102 -0.36973499 0.00461333 0.00392873 0.66832240 680.44985483 21.79098055 16.23376709 1.19046800 0.76199682 0.83384979 1.08147935 -0.32813374 0.79401273 -0.36230460 0.00455065 0.00386110 0.67529980 687.55387163 21.82308414 16.26094816 1.17954453 0.75794464 0.82805306 1.07151400 -0.32118981 0.77700105 -0.35484927 0.00448746 0.00379114 0.68229428 694.67527242 21.85481346 16.28770145 1.16866166 0.75389160 0.82219834 1.06156318 -0.31422799 0.76011210 -0.34736116 0.00442325 0.00372303 0.68930542 701.81363402 21.88615305 16.31404583 1.15787612 0.74983570 0.81626855 1.05162216 -0.30724935 0.74337499 -0.33983725 0.00435704 0.00365850 0.69633279 708.96852475 21.91708501 16.33999506 1.14720641 0.74578049 0.81025941 1.04169170 -0.30025416 0.72681633 -0.33228277 0.00428917 0.00359508 0.70337596 716.13950447 21.94759610 16.36554789 1.13664153 0.74173453 0.80417847 1.03177871 -0.29324228 0.71047491 -0.32470014 0.00422033 0.00353174 0.71043450 723.32612593 21.97767666 16.39070235 1.12615728 0.73770831 0.79802655 1.02188695 -0.28621429 0.69437954 -0.31708921 0.00415085 0.00346856 0.71750795 730.52793256 22.00731701 16.41544929 1.11574336 0.73371413 0.79180994 1.01201559 -0.27917146 0.67853109 -0.30945460 0.00408031 0.00340329 0.72459586 737.74446015 22.03650435 16.43976216 1.10539291 0.72976362 0.78556307 1.00216615 -0.27211478 0.66291241 -0.30179980 0.00400863 0.00333432 0.73169776 744.97523825 22.06522976 16.46361781 1.09508634 0.72586304 0.77933364 0.99233152 -0.26504435 0.64751809 -0.29411943 0.00393661 0.00326421 0.73881320 752.21979010 22.09348193 16.48701574 1.08483013 0.72201422 0.77314020 0.98250173 -0.25796267 0.63236790 -0.28641002 0.00386241 0.00319544 0.74594169 759.47763266 22.12123867 16.50995716 1.07463614 0.71822299 0.76698886 0.97268437 -0.25086995 0.61749350 -0.27867567 0.00378648 0.00312601 0.75308275 766.74827664 22.14850030 16.53242369 1.06449999 0.71450056 0.76087455 0.96291153 -0.24376233 0.60289575 -0.27092203 0.00371335 0.00305354 0.76023590 774.03122644 22.17528982 16.55438960 1.05442820 0.71085562 0.75481242 0.95322661 -0.23663997 0.58856567 -0.26314983 0.00364376 0.00297825 0.76740064 781.32598231 22.20161513 16.57583609 1.04443632 0.70729298 0.74882518 0.94366112 -0.22950806 0.57451379 -0.25535717 0.00357332 0.00290168 0.77457648 788.63204146 22.22745436 16.59675591 1.03454676 0.70381820 0.74291825 0.93421908 -0.22236999 0.56074952 -0.24754256 0.00349957 0.00282503 0.78176293 795.94889469 22.25278157 16.61714455 1.02477023 0.70043831 0.73709163 0.92488903 -0.21522606 0.54724947 -0.23970797 0.00342295 0.00274782 0.78895948 803.27603277 22.27757272 16.63698790 1.01510116 0.69715851 0.73137779 0.91567394 -0.20807689 0.53399830 -0.23185891 0.00334350 0.00266796 0.79616563 810.61294663 22.30179955 16.65625821 1.00553699 0.69397986 0.72581870 0.90659217 -0.20092464 0.52102192 -0.22399790 0.00325970 0.00258456 0.80338088 817.95912741 22.32542264 16.67493278 0.99609752 0.69090120 0.72042687 0.89765582 -0.19377008 0.50836440 -0.21612198 0.00317110 0.00249954 0.81060474 825.31406641 22.34841158 16.69300419 0.98680278 0.68792346 0.71520241 0.88886093 -0.18661120 0.49606301 -0.20822807 0.00307992 0.00241467 0.81783669 832.67725511 22.37074903 16.71047369 0.97765392 0.68505146 0.71013296 0.88020246 -0.17944717 0.48413361 -0.20031604 0.00298711 0.00233053 0.82507625 840.04818603 22.39241634 16.72734074 0.96865484 0.68229087 0.70520272 0.87169320 -0.17227892 0.47256907 -0.19238943 0.00289137 0.00224584 0.83232293 847.42636028 22.41338364 16.74359164 0.95982422 0.67964301 0.70040266 0.86336886 -0.16510807 0.46137199 -0.18445282 0.00279163 0.00215889 0.83957623 854.81128009 22.43362182 16.75920724 0.95118529 0.67710273 0.69573605 0.85527001 -0.15793330 0.45056452 -0.17650705 0.00268890 0.00206997 0.84683568 862.20245601 22.45310701 16.77417655 0.94276387 0.67466321 0.69119801 0.84741708 -0.15075601 0.44016444 -0.16854956 0.00258308 0.00198069 0.85410079 869.59940910 22.47181250 16.78849805 0.93457000 0.67232115 0.68678167 0.83981807 -0.14357638 0.43018213 -0.16058026 0.00247413 0.00189158 0.86137113 877.00167093 22.48971574 16.80217029 0.92660695 0.67007626 0.68249017 0.83248086 -0.13639530 0.42061374 -0.15259947 0.00236269 0.00180259 0.86864623 884.40878355 22.50679542 16.81519560 0.91889275 0.66792858 0.67833661 0.82540869 -0.12921310 0.41144243 -0.14460597 0.00224860 0.00171466 0.87592565 891.82029953 22.52303115 16.82758320 0.91145208 0.66588028 0.67433257 0.81860039 -0.12203029 0.40267435 -0.13659980 0.00213228 0.00162838 0.88320897 899.23578376 22.53840314 16.83933987 0.90430488 0.66393706 0.67049244 0.81205914 -0.11484767 0.39433006 -0.12858445 0.00201299 0.00154233 0.89049578 906.65482066 22.55288241 16.85045995 0.89747837 0.66210667 0.66683435 0.80579365 -0.10766658 0.38643373 -0.12056269 0.00188967 0.00145524 0.89778568 914.07700793 22.56644124 16.86093520 0.89100782 0.66039654 0.66337069 0.79981934 -0.10048613 0.37900606 -0.11253525 0.00176367 0.00136727 0.90507831 921.50196369 22.57906570 16.87075523 0.88493262 0.65881211 0.66011276 0.79416596 -0.09330477 0.37207019 -0.10450452 0.00163689 0.00127745 0.91237329 928.92932737 22.59075514 16.87990135 0.87927663 0.65735744 0.65705180 0.78886114 -0.08612148 0.36563710 -0.09647250 0.00151113 0.00118496 0.91967031 936.35875972 22.60152299 16.88835555 0.87405228 0.65603499 0.65416495 0.78392669 -0.07893506 0.35970377 -0.08843817 0.00138807 0.00109075 0.92696905 943.78994283 22.61138879 16.89610984 0.86926776 0.65484393 0.65143505 0.77938043 -0.07174650 0.35426533 -0.08039942 0.00126747 0.00099624 0.93426922 951.22258021 22.62036485 16.90316395 0.86494206 0.65378156 0.64885710 0.77524241 -0.06455747 0.34933498 -0.07235605 0.00114790 0.00090190 0.94157055 958.65640212 22.62845348 16.90951693 0.86109883 0.65284374 0.64644267 0.77153633 -0.05736974 0.34494027 -0.06431006 0.00102815 0.00080723 0.94887281 966.09116416 22.63564790 16.91516538 0.85775305 0.65202552 0.64423383 0.76827222 -0.05018494 0.34111183 -0.05626249 0.00090678 0.00071220 0.95617577 973.52664843 22.64192987 16.92010539 0.85489972 0.65132425 0.64226622 0.76544592 -0.04300501 0.33786848 -0.04821485 0.00078238 0.00061630 0.96347926 980.96266559 22.64727419 16.92432545 0.85253243 0.65073906 0.64055431 0.76305810 -0.03583056 0.33520491 -0.04017009 0.00065449 0.00051832 0.97078311 988.39905483 22.65165841 16.92780669 0.85063509 0.65026865 0.63910135 0.76111176 -0.02866038 0.33308985 -0.03213063 0.00052445 0.00041740 0.97808720 995.83568388 22.65507166 16.93052612 0.84917687 0.64991057 0.63792041 0.75959958 -0.02149325 0.33148316 -0.02409670 0.00039332 0.00031358 0.98539142 1003.27244900 22.65750691 16.93246720 0.84813824 0.64966130 0.63703767 0.75851604 -0.01432836 0.33035133 -0.01606558 0.00026162 0.00020838 0.99269570 1010.70927532 22.65896422 16.93362689 0.84751474 0.64951546 0.63649063 0.75786321 -0.00716426 0.32967392 -0.00803367 0.00013041 0.00010370 1.00000000 1018.14611878 22.65944872 16.93401216 0.84730726 0.64946762 0.63630542 0.75764450 0.00000000 0.32944715 0.00000000 0.00000000 0.00000000