% Filename : LM_Couette_R0220_100PI_mean_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_mean_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 : Mean profile of streamwise velocity % dU/dy : Derivative of U in wall-normal direction % W : Mean profile of spanwise velocity % P : Mean profile of pressure % % * Data at y/delta = 1.0 is not computed due to code performance optimization % % ** W should be zero due to (statistical) symmetries in the flow. % It is reported here none-the-less as an indicator of the quality of the statistics. % % -----------End of header--------- % % y/delta y^+ U dU/dy W P %----------------------------------------------------------------------------------------------------------------------------------------------------- 0.000000000000000e+00 0.000000000000000e+00 0.000000000000000e+00 0.000000000000000e+00 0.000000000000000e+00 0.000000000000000e+00 2.059765673623204e-05 4.520751555384802e-03 4.760816315099168e-06 1.332081440398889e-03 3.090585455594386e-07 1.680339278137367e-16 1.029823439926414e-04 2.260245414047382e-02 2.380270991626604e-05 1.332081557515259e-03 1.545203440355068e-06 1.043153162400897e-13 2.883256182004690e-04 6.328139669617082e-02 6.664184337369660e-05 1.332082167084974e-03 4.326191843466388e-06 6.316155461909976e-12 6.177693459122890e-04 1.355873518607302e-01 1.427876190976567e-04 1.332082853216189e-03 9.269307455753076e-06 1.296762922421287e-10 1.132413839837088e-03 2.485409720794912e-01 2.617399007853286e-04 1.332075538298306e-03 1.699105878805371e-05 1.405482954120035e-09 1.873306006858533e-03 4.111511883446703e-01 4.329842162528658e-04 1.332020414391099e-03 2.810651749090394e-05 9.926309814625968e-09 2.881427511453483e-03 6.324126123151812e-01 6.659762482540984e-04 1.331780511680287e-03 4.322754051875843e-05 4.662572677540238e-08 4.177085301188321e-03 9.167821910103595e-01 9.653291433461560e-04 1.330987099369610e-03 6.264940577637371e-05 1.868660576475117e-07 5.759905750861605e-03 1.264177921572687e+00 1.330677205596236e-03 1.328820503728088e-03 8.634254153751849e-05 6.010825275361309e-07 7.629432426981109e-03 1.674499626470013e+00 1.761132657285778e-03 1.323647146092877e-03 1.142481457352835e-04 1.615720891050368e-06 9.785126219384543e-03 2.147628982383531e+00 2.254698707009447e-03 1.312464570833350e-03 1.462616390067892e-04 3.752229063890848e-06 1.222636549670120e-02 2.683429554328328e+00 2.807297864586345e-03 1.290517039615862e-03 1.822192372772635e-04 7.728034770491734e-06 1.495244628560999e-02 3.281746834996754e+00 3.411467562810633e-03 1.253291184080125e-03 2.218927774872076e-04 1.440943696962889e-05 1.796258247384253e-02 3.942408289313313e+00 4.055195701851179e-03 1.193027949975743e-03 2.649820827571803e-04 2.472643577649409e-05 2.125590603687155e-02 4.665223404187998e+00 4.721933317494456e-03 1.146627865409756e-03 3.110715684962047e-04 3.871361318374338e-05 2.483146728822128e-02 5.449983743454135e+00 5.392819743212818e-03 1.092841458525195e-03 3.595396236617014e-04 5.878293412859684e-05 2.868823515332564e-02 6.296463007974501e+00 6.050798660174238e-03 9.955738671357617e-04 4.095140622858090e-04 8.489961675208459e-05 3.282509746685636e-02 7.204417100898564e+00 6.684325801472454e-03 9.217254696508332e-04 4.600132299318688e-04 1.174622404837952e-04 3.724086129343462e-02 8.173584198051939e+00 7.107972125483838e-03 7.878441964933918e-04 5.101805371540337e-04 1.565694040818710e-04 4.193425327163525e-02 9.203684823438048e+00 7.863599308664355e-03 6.785764696812228e-04 5.592647588403525e-04 2.019938027982135e-04 4.690391998118171e-02 1.029442192982970e+01 8.415332268911712e-03 5.721036837100271e-04 6.062760687950259e-04 2.531938690455894e-04 5.214842833322808e-02 1.144548098442774e+01 8.740273781999108e-03 4.874227137276655e-04 6.292255476029939e-04 3.093633875199190e-04 5.766626598361557e-02 1.265653005956216e+01 9.481880417459451e-03 4.192986182700411e-04 6.658677566838937e-04 3.703400477580130e-04 6.345584176898234e-02 1.392721992840900e+01 1.001009991333611e-02 3.619418346823351e-04 6.769989187219111e-04 4.328202041485260e-04 6.951548616560277e-02 1.525718416569592e+01 1.053995623280690e-02 3.137023230369686e-04 7.044571292565343e-04 4.960282714087954e-04 7.584345177082374e-02 1.664603925336729e+01 1.107135623776158e-02 2.734235344368073e-04 7.734607201773977e-04 5.630262843673052e-04 8.243791380695809e-02 1.809338469117819e+01 1.160182045391393e-02 2.390715191155525e-04 7.920660045958068e-04 6.094013851604359e-04 8.929697064749043e-02 1.959880311218551e+01 1.186099525604357e-02 2.097500620588118e-04 8.067667680839361e-04 6.708524727301139e-04 9.641864436544412e-02 2.116186040310295e+01 1.191316498839540e-02 1.841237221775794e-04 8.189236572699601e-04 7.305819959846835e-04 1.038008813037503e-01 2.278210582948498e+01 1.233186436423028e-02 1.625101522484949e-04 8.297443771845296e-04 7.879001365750394e-04 1.114415526674554e-01 2.445907216570389e+01 1.307604357862014e-02 1.440959489500811e-04 8.394640280306619e-04 8.424100431259810e-04 1.193384551375956e-01 2.619227582968237e+01 1.348158714972092e-02 1.284521974647290e-04 8.470392888928136e-04 8.818677744562728e-04 1.274893115065617e-01 2.798121702234264e+01 1.388917413904446e-02 1.153486784155328e-04 8.223925779515334e-04 9.298794800169865e-04 1.358917713347718e-01 2.982537987173227e+01 1.432545848737855e-02 1.037633725511278e-04 8.468367194766220e-04 9.890448636779212e-04 1.445434116284596e-01 3.172423258178446e+01 1.513867315073913e-02 9.386922418784002e-05 8.355703131710130e-04 1.033943049679861e-03 1.534417375383876e-01 3.367722758567084e+01 1.557380476080570e-02 8.542088029705578e-05 8.182941633057691e-04 1.077815616005666e-03 1.625841830792791e-01 3.568380170370165e+01 1.599510087929481e-02 7.811650228279151e-05 7.986796690709582e-04 1.120593147130624e-03 1.719681118697645e-01 3.774337630572830e+01 1.636961807604293e-02 7.174859625205767e-05 7.798081549273943e-04 1.162002309470403e-03 1.815908178926267e-01 3.985535747800134e+01 1.671450245365970e-02 6.626506042477394e-05 7.632399313511544e-04 1.173314130910150e-03 1.914495262751283e-01 4.201913619443570e+01 1.703961217892970e-02 6.157685994870564e-05 7.487328500310581e-04 1.208948258378103e-03 2.015413940891936e-01 4.423408849223378e+01 1.352654671646194e-02 5.752639225493334e-05 7.333090281500516e-04 1.210316627441709e-03 2.118635111712157e-01 4.649957565181599e+01 1.333672195346029e-02 5.477584014727955e-05 7.139787932716942e-04 1.242652291680063e-03 2.224129009612524e-01 4.881494438100636e+01 1.343707181112768e-02 5.173216154069909e-05 6.918153200064786e-04 1.275089383825572e-03 2.331865213613683e-01 5.117952700342067e+01 1.360670377494003e-02 4.816079930613457e-05 6.714530857117367e-04 1.308188724479241e-03 2.441812656128760e-01 5.359264165100237e+01 1.341722595455456e-02 4.584736703380401e-05 6.543775578734745e-04 1.359970262601123e-03 2.553939631922236e-01 5.605359246065102e+01 1.357548094569345e-02 4.438649054532664e-05 6.374781457311509e-04 1.403504548944989e-03 2.668213807252695e-01 5.856166977488628e+01 1.378647773698976e-02 4.177292863696543e-05 6.190193927144116e-04 1.448924336990129e-03 2.784602229196816e-01 6.111615034648999e+01 1.460244694473567e-02 4.007963570391337e-05 6.012013415378864e-04 1.495467789656315e-03 2.903071335151914e-01 6.371629754706679e+01 1.470281863635159e-02 3.854543560556977e-05 5.872115399123800e-04 1.541982710103820e-03 3.023586962514291e-01 6.636136157946363e+01 1.475375632262869e-02 3.709717913704084e-05 5.765394930579897e-04 1.639194505095352e-03 3.146114358530614e-01 6.905057969398675e+01 1.478157810349499e-02 3.577521993684170e-05 5.662541423932992e-04 1.687868344412199e-03 3.270618190319470e-01 7.178317640835358e+01 1.795538407323564e-02 3.461116888470082e-05 5.551241993656287e-04 1.737754075336438e-03 3.397062555060204e-01 7.455836373131645e+01 1.738103110995220e-02 3.358648357912375e-05 5.429046908706223e-04 1.788952092339963e-03 3.525410990346119e-01 7.737534138989331e+01 1.724798721785177e-02 3.232173578239569e-05 5.282567459845020e-04 1.842237455927232e-03 3.655626484699042e-01 8.023329706014039e+01 1.717357321488222e-02 3.169541764726059e-05 5.108680139481906e-04 1.898574150190963e-03 3.787671488242206e-01 8.313140660139955e+01 1.761931689701612e-02 3.084702954754069e-05 4.929387552611297e-04 1.958146050443071e-03 3.921507923528420e-01 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3.918972829128803e-04 2.554840833192801e-03 5.051956388132749e-01 1.108797956575968e+02 1.692569383491792e-02 3.180633287295898e-05 3.936066369698910e-04 2.625753112667561e-03 5.200120725087398e-01 1.141316905955393e+02 1.651465353395976e-02 3.345459645065544e-05 3.945930942019188e-04 2.686899996487267e-03 5.349669189761566e-01 1.174139642198585e+02 1.626320685345655e-02 3.596469256501853e-05 3.945446899190121e-04 2.741222083702303e-03 5.500558657284083e-01 1.207256700305185e+02 1.666018648272715e-02 3.819986917361842e-05 3.945927130451451e-04 2.797765126825997e-03 5.652745616082546e-01 1.240658530402063e+02 1.613519286303078e-02 3.830522977227753e-05 4.368910002631144e-04 2.862265494119840e-03 5.806186180430640e-01 1.274335500497189e+02 1.554780929079266e-02 3.907482045701611e-05 4.820960699358303e-04 2.929277648418000e-03 5.960836103103330e-01 1.308277899257185e+02 1.495301698489132e-02 4.133295709238876e-05 4.956967740005787e-04 2.989566032467510e-03 6.116650788136313e-01 1.342475938807752e+02 1.438985501725732e-02 6.389628993392805e-05 5.052467766413068e-04 3.043512027567199e-03 6.273585303686036e-01 1.376919757556172e+02 1.384186165270041e-02 7.208808147986441e-05 5.035452612101054e-04 3.098096894449720e-03 6.431594394986559e-01 1.411599423035075e+02 1.329110775571632e-02 8.135763497086877e-05 5.721943624438662e-04 3.155423348911135e-03 6.590632497399551e-01 1.446504934766624e+02 1.275934382727458e-02 9.135447549604768e-05 5.943280051748801e-04 3.146344993075078e-03 6.750653749553628e-01 1.481626227146337e+02 1.224699312452379e-02 9.960398599327401e-05 6.165049651581871e-04 3.221766294428659e-03 6.911612006569279e-01 1.516953172345669e+02 1.196683652980888e-02 1.083661545611241e-04 5.899607984635219e-04 3.285821790545940e-03 7.073460853365527e-01 1.552475583232551e+02 1.249645452344805e-02 1.216131548391031e-04 6.206125122374455e-04 3.335293292311247e-03 7.236153618044520e-01 1.588183216309019e+02 1.191411800769322e-02 1.292197233243232e-04 6.319859006563519e-04 3.479950552359133e-03 7.399643385350172e-01 1.624065774665108e+02 1.154798664310666e-02 1.291210853964329e-04 6.640108022872897e-04 3.511415747507250e-03 7.563883010196990e-01 1.660112910948139e+02 1.098943672714261e-02 1.174121744745063e-04 6.452607360349786e-04 3.517096138401547e-03 7.728825131265160e-01 1.696314230346562e+02 1.058886075062542e-02 1.251071745223218e-04 6.779120089811130e-04 3.510618776849864e-03 7.894422184658009e-01 1.732659293587469e+02 1.010028489480922e-02 1.293693859001788e-04 6.831615421082351e-04 3.504464218928157e-03 8.060626417617862e-01 1.769137619946948e+02 1.016646606579755e-02 1.305248169572652e-04 7.019347794655548e-04 3.503681925913557e-03 8.227389902296380e-01 1.805738690272374e+02 9.876724606228533e-03 1.432627945711764e-04 7.089867136504639e-04 3.507828187782000e-03 8.394664549575374e-01 1.842451950015787e+02 9.598153941114415e-03 1.217825315948663e-04 7.051395951691720e-04 3.514184142229944e-03 8.562402122934127e-01 1.879266812277482e+02 9.418982607140464e-03 1.169652052974032e-04 6.907361724536076e-04 3.403480202756800e-03 8.730554252359233e-01 1.916172660858920e+02 9.199942436529579e-03 1.167133192233003e-04 6.745108486849901e-04 3.412633457939251e-03 8.899072448292911e-01 1.953158853324092e+02 9.005873701710009e-03 1.189417495464983e-04 7.019554415083898e-04 3.406397696697672e-03 9.067908115615809e-01 1.990214724068447e+02 8.888472636722176e-03 1.331984556406728e-04 6.953096556595047e-04 3.380000204640509e-03 9.237012567660244e-01 2.027329587394509e+02 8.765173066609495e-03 1.325343361405350e-04 7.491470688631600e-04 3.447497929358579e-03 9.406337040249835e-01 2.064492740593270e+02 8.671323557607767e-03 1.275781575203667e-04 7.513317448956074e-04 3.513260555806006e-03 9.575832705761491e-01 2.101693467030513e+02 8.609731536089764e-03 1.304555316912195e-04 7.791163158557988e-04 3.525971980423061e-03 9.745450687205706e-01 2.138921039237129e+02 8.580719453451631e-03 1.277265351714102e-04 7.708924026954397e-04 3.497744761141611e-03 9.915142072321063e-01 2.176164722002569e+02 8.575632705373060e-03 1.296028276781612e-04 7.615124039546565e-04 3.477311753717856e-03