% Filename : LM_Couette_R0220_100PI_vel_fluc_stdev.txt % % Description : Estimated uncertainty due to finite statistical sample, expressed as the standard deviation, % for the statistical data provided in the file: LM_Couette_R0220_100PI_vel_fluc_prof.txt % % Total number of data points : 96 % % % % % The data in this file was extracted from a direct numerical simulation % of fully developed plane turbulent Couette flow. The file is available at % http://turbulence.ices.utexas.edu, where it will be updated as necessary. % % When publishing results using this data, the following paper should be % cited as the source: % % Myoungkyu Lee and Robert D. Moser, % Extreme-scale motions in turbulent plane Couette flows, % 2018, Journal of Fluid Mechanics, vol. 842, pp. 128-145 % % The paper can be found at http://doi.org/10.1017/jfm.2018.131 % % NOTE: before publication, please check % http://turbulence.ices.utexas.edu for any updates to the data and an % updated citation % % % Contact to Robert D. Moser(rmoser@ices.utexas.edu) or M.K. Lee(leemk@uh.edu) for questions. % % % The parameters defining the simulation from which this data were extracted are: % % Grid (streamwise) nx = 6144 % Grid (wall-normal) ny = 192 % Grid (spanwise) nz = 768 % Streamwise domain size Lx = 100pi % Spanwise domain size Lz = 5pi % B-Spline order n = 7 % Kinematic Viscosity nu = 2.50000e-04 % channel half width delta = 1.000 % Velocity at wall U_mean = (+/-) 1.000 % Friction vel u_tau = 5.48697e-02 % Re_tau Re_tau = 219.479 % % % All data are normalized by u_tau and nu (signified with a ^+) except % for y/delta % % This file was last updated on 3/7/2018. % % % % Remark: % % y/delta : Grid point in wall-normal direction, Normalized by channel half width % y^+ : Grid point in wall-normal direction % u'u' : Variance of u % v'v' : Variance of v % w'w' : Variance of w % u'v' : Covariance of u and v % u'w' : Covariance of u and w % v'w' : Covariance of v and w % k : Turbulent kinetic energy, k = 0.5*(u'u' + v'v' + w'w') % % * Data at y/delta = 1.0 is not computed due to code performance optimization % % ** u'w' and v'w' should be zero due to (statistical) symmetries in the flow. % These are reported here none-the-less as an indicator of the quality of the statistics. % % -----------End of header--------- % % y/delta y^+ u'u' v'v' w'w' u'v' u'w' v'w' k %-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 0.000000000000000e+00 0.000000000000000e+00 0.000000000000000e+00 0.000000000000000e+00 3.136536170218091e-38 0.000000000000000e+00 1.057120385921280e-39 0.000000000000000e+00 1.568268085109045e-38 2.059765673623204e-05 4.520751555384802e-03 1.551603106590979e-04 1.680339278137367e-16 2.955873579556266e-09 2.301945602748822e-13 5.630978527059490e-06 7.985803057537795e-15 7.758015534362662e-05 1.029823439926414e-04 2.260245414047382e-02 7.747355116366802e-04 1.043153162400897e-13 7.353993114878983e-08 2.883535443894698e-11 2.812110357213843e-05 1.001065909142786e-12 3.873677575634910e-04 2.883256182004690e-04 6.328139669617082e-02 2.162640597092931e-03 6.316155461909976e-12 5.703603888149295e-07 6.360610220380723e-10 7.852971214229437e-05 2.211275526395119e-11 1.081320336152225e-03 6.177693459122890e-04 1.355873518607302e-01 4.609213957380091e-03 1.296762922421287e-10 2.569555418221547e-06 6.312107126705902e-09 1.674872025884359e-04 2.198097620353160e-10 2.304607336810466e-03 1.132413839837088e-03 2.485409720794912e-01 8.378947198930885e-03 1.405482954120035e-09 8.385810805440112e-06 3.163211969431632e-08 3.048065039257388e-04 1.372937141131086e-09 4.189475697634984e-03 1.873306006858533e-03 4.111511883446703e-01 1.369418976061876e-02 9.926309814625968e-09 2.201738532609707e-05 1.463704944315251e-07 4.989625246777522e-04 6.310791486913555e-09 6.847103730140042e-03 2.881427511453483e-03 6.324126123151812e-01 2.071466951131935e-02 4.662572677540238e-08 4.928983904739874e-05 5.471477556499089e-07 7.564250371250667e-04 2.326137108611341e-08 1.035736407651086e-02 4.177085301188321e-03 9.167821910103595e-01 2.937774939678772e-02 1.868660576475117e-07 9.664118038990149e-05 1.715844376157581e-06 1.075834714151170e-03 7.124799268877330e-08 1.468895417629457e-02 5.759905750861605e-03 1.264177921572687e+00 3.940753365194449e-02 6.010825275361309e-07 1.692211561295840e-04 4.619246185085102e-06 1.448220618534907e-03 1.855666013409382e-07 1.970394849192745e-02 7.629432426981109e-03 1.674499626470013e+00 5.045892036074966e-02 1.615720891050368e-06 2.701827481392520e-04 1.093192799917913e-05 1.862227777207043e-03 4.217411599157300e-07 2.522982186471212e-02 9.785126219384543e-03 2.147628982383531e+00 6.210920609465603e-02 3.752229063890848e-06 4.001948347620618e-04 2.315069203199903e-05 2.303917823436361e-03 8.544322075757498e-07 3.105524775176271e-02 1.222636549670120e-02 2.683429554328328e+00 7.385064651922330e-02 7.728034770491734e-06 5.575489971206092e-04 4.182933074842485e-05 2.756842271900578e-03 1.569277740966031e-06 3.692637577638096e-02 1.495244628560999e-02 3.281746834996754e+00 8.509550486991581e-02 1.440943696962889e-05 7.387655477600749e-04 7.411496339721671e-05 3.202647669200232e-03 2.649889929379907e-06 4.254935643236069e-02 1.796258247384253e-02 3.942408289313313e+00 9.521308757990599e-02 2.472643577649409e-05 9.394347242030332e-04 1.210141962582809e-04 3.622209055021077e-03 4.323494609285558e-06 4.760886260849054e-02 2.125590603687155e-02 4.665223404187998e+00 1.000052752902972e-01 3.871361318374338e-05 1.154997786979597e-03 1.832445021474683e-04 3.997155355960837e-03 6.440757091491551e-06 5.000597615415558e-02 2.483146728822128e-02 5.449983743454135e+00 1.058734800674310e-01 5.878293412859684e-05 1.381285495010638e-03 2.590274221268964e-04 4.312030382002677e-03 9.397150553750183e-06 5.294125325925140e-02 2.868823515332564e-02 6.296463007974501e+00 1.096848667483397e-01 8.489961675208459e-05 1.614734198043193e-03 3.441893674657536e-04 4.557104460953657e-03 1.382135628353646e-05 5.484839233759796e-02 3.282509746685636e-02 7.204417100898564e+00 1.115398362336966e-01 1.174622404837952e-04 1.852365771319963e-03 4.330333732446885e-04 4.730179350681324e-03 1.811575484431946e-05 5.577763916519002e-02 3.724086129343462e-02 8.173584198051939e+00 1.117741691304226e-01 1.565694040818710e-04 2.091857744684340e-03 5.196571749300458e-04 4.835253319731649e-03 2.276267444078059e-05 5.589692582691512e-02 4.193425327163525e-02 9.203684823438048e+00 1.117288321701694e-01 2.019938027982135e-04 2.331444477155734e-03 5.992386219291669e-04 4.879388756342034e-03 2.654207436033605e-05 5.587666859467444e-02 4.690391998118171e-02 1.029442192982970e+01 1.105946835982302e-01 2.531938690455894e-04 2.568668760998684e-03 6.688608949750163e-04 4.871996038481421e-03 3.109500685466747e-05 5.531239961918961e-02 5.214842833322808e-02 1.144548098442774e+01 1.084821661134390e-01 3.093633875199190e-04 2.799328777515889e-03 7.276537182863451e-04 4.825678503663676e-03 3.552159120633370e-05 5.425935935848748e-02 5.766626598361557e-02 1.265653005956216e+01 1.057609475561871e-01 3.703400477580130e-04 3.019542762921025e-03 7.989629886764075e-04 4.753238235787857e-03 3.980883430397348e-05 5.290234592678911e-02 6.345584176898234e-02 1.392721992840900e+01 1.034146306493956e-01 4.328202041485260e-04 3.229130226947030e-03 8.430971865902842e-04 4.660880290750767e-03 4.398299102416689e-05 5.173296929353323e-02 6.951548616560277e-02 1.525718416569592e+01 1.012524362410156e-01 4.960282714087954e-04 3.333837104008674e-03 8.789331009433243e-04 4.544268632352209e-03 4.319382083157531e-05 5.065426033075361e-02 7.584345177082374e-02 1.664603925336729e+01 9.919406909444109e-02 5.630262843673052e-04 3.504408522013052e-03 9.079078548068353e-04 4.396363031110295e-03 4.714925201441941e-05 4.962877497278871e-02 8.243791380695809e-02 1.809338469117819e+01 9.384057521530487e-02 6.094013851604359e-04 3.664619470371883e-03 9.450938519837939e-04 4.220251584591362e-03 5.112739121195379e-05 4.695703984135434e-02 8.929697064749043e-02 1.959880311218551e+01 9.208127744442522e-02 6.708524727301139e-04 3.811354905531696e-03 9.651352899110752e-04 4.030683698869436e-03 5.515894332176195e-05 4.608128178841519e-02 9.641864436544412e-02 2.116186040310295e+01 9.087868928086094e-02 7.305819959846835e-04 3.945856980269743e-03 9.817341745030847e-04 3.844049459577026e-03 5.923640184146307e-05 4.548362260959671e-02 1.038008813037503e-01 2.278210582948498e+01 8.707558911804804e-02 7.879001365750394e-04 4.073451966540922e-03 9.960562555816014e-04 3.666410793686954e-03 6.334164239213710e-05 4.358718853574998e-02 1.114415526674554e-01 2.445907216570389e+01 7.952020699241164e-02 8.424100431259810e-04 4.192710437379459e-03 1.009115284612495e-03 3.494090200020868e-03 6.748241812423436e-05 3.981755829909860e-02 1.193384551375956e-01 2.619227582968237e+01 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8.330690337965310e-02 1.120593147130624e-03 4.284909032608062e-03 1.061124725410497e-03 2.699439566001418e-03 9.056656677509261e-05 4.171227734470386e-02 1.719681118697645e-01 3.774337630572830e+01 8.058184896339282e-02 1.162002309470403e-03 4.252957416220986e-03 1.070367326447033e-03 2.600791624220662e-03 9.504893591198389e-05 4.035118424070865e-02 1.815908178926267e-01 3.985535747800134e+01 7.789600608227558e-02 1.173314130910150e-03 4.228800803936373e-03 1.079543833128204e-03 2.464561681066175e-03 9.939479657156940e-05 3.900976539874048e-02 1.914495262751283e-01 4.201913619443570e+01 7.520885120408820e-02 1.208948258378103e-03 4.198065866873781e-03 1.088976670706171e-03 2.394025530473965e-03 1.036015537829227e-04 3.766781322413316e-02 2.015413940891936e-01 4.423408849223378e+01 7.236699561265832e-02 1.210316627441709e-03 4.150240327533157e-03 1.099008218725814e-03 2.333325807017212e-03 1.077646379458523e-04 3.624800482480881e-02 2.118635111712157e-01 4.649957565181599e+01 6.941404291294705e-02 1.242652291680063e-03 4.090004530126865e-03 1.109904748959517e-03 2.278274240714792e-03 1.119679810374116e-04 3.477276835145186e-02 2.224129009612524e-01 4.881494438100636e+01 6.656185784178001e-02 1.275089383825572e-03 4.032964095985133e-03 1.121321927753961e-03 2.223597270655444e-03 1.162347007478831e-04 3.334805680877666e-02 2.331865213613683e-01 5.117952700342067e+01 6.387900710763794e-02 1.308188724479241e-03 4.077529076346526e-03 1.132218683542666e-03 2.167720006190913e-03 1.205646081744494e-04 3.201119003631763e-02 2.441812656128760e-01 5.359264165100237e+01 6.309319535609342e-02 1.359970262601123e-03 4.001690167366790e-03 1.142320850938332e-03 2.114980796174446e-03 1.249336275781370e-04 3.161729883921510e-02 2.553939631922236e-01 5.605359246065102e+01 5.994044159685954e-02 1.403504548944989e-03 3.937437317418669e-03 1.152236022960230e-03 2.073969883480254e-03 1.246716780412471e-04 3.004300990444383e-02 2.668213807252695e-01 5.856166977488628e+01 5.696129298486139e-02 1.448924336990129e-03 3.882043948481719e-03 1.178469443995697e-03 2.046818809333488e-03 1.281778828118401e-04 2.855590370422325e-02 2.784602229196816e-01 6.111615034648999e+01 5.430079157500897e-02 1.495467789656315e-03 3.837743443470370e-03 1.190246217554087e-03 2.234662961719666e-03 1.318320520137167e-04 2.722838897327734e-02 2.903071335151914e-01 6.371629754706679e+01 5.284710656086906e-02 1.541982710103820e-03 3.701683342145890e-03 1.187478469366625e-03 2.071632578887993e-03 1.355714515867455e-04 2.649951340166282e-02 3.023586962514291e-01 6.636136157946363e+01 5.059616301134750e-02 1.639194505095352e-03 3.649574745102544e-03 1.201462731879843e-03 2.060696827164016e-03 1.394168547680199e-04 2.537704704017231e-02 3.146114358530614e-01 6.905057969398675e+01 4.834222412233129e-02 1.687868344412199e-03 3.609238486982223e-03 1.215888224479684e-03 2.064888922986869e-03 1.432442506949744e-04 2.425307266666273e-02 3.270618190319470e-01 7.178317640835358e+01 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3.690634860204556e-02 2.020007836394313e-03 3.617272409623149e-03 1.387695400489460e-03 2.041238705654413e-03 1.652101671846345e-04 1.856908491606564e-02 4.057097196520344e-01 8.904473308002042e+01 3.876180167577806e-02 2.083677313241806e-03 3.626411442437767e-03 1.413254215607830e-03 2.016619052649565e-03 1.672524348315801e-04 1.949339529332892e-02 4.194400207719746e-01 9.205824480801644e+01 3.801485583049007e-02 2.149829719757227e-03 3.652616385572084e-03 1.422788525110235e-03 1.989034101527983e-03 1.688977395892404e-04 1.912519698001204e-02 4.333377363442519e-01 9.510850048001971e+01 3.753426297564404e-02 2.217242505029143e-03 3.708096550470555e-03 1.457810605698275e-03 2.017944612002655e-03 1.705363819190748e-04 1.889104974239469e-02 4.473988587236192e-01 9.819462050236014e+01 3.608536435413756e-02 2.283619768080068e-03 3.783122208402863e-03 1.491793054156047e-03 1.989722008928856e-03 1.728462456308664e-04 1.817746168652088e-02 4.616193331436672e-01 1.013157149392656e+02 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