% Filename : LM_Couette_R0093_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_R0093_100PI_vel_fluc_prof.txt % % Total number of data points : 64 % % % % % 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 = 3072 % Grid (wall-normal) ny = 128 % Grid (spanwise) nz = 288 % Streamwise domain size Lx = 100pi % Spanwise domain size Lz = 5pi % B-Spline order n = 7 % Kinematic Viscosity nu = 6.66667e-04 % channel half width delta = 1.000 % Velocity at wall U_mean = (+/-) 1.000 % Friction vel u_tau = 6.19417e-02 % Re_tau Re_tau = 92.913 % % % 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 6.843008226983950e-38 0.000000000000000e+00 3.159200547014894e-39 0.000000000000000e+00 3.421504113491975e-38 4.814781378392752e-05 4.473535515368329e-03 6.759708956501602e-05 1.631693790543087e-16 3.566263853274969e-09 1.754464239076711e-13 5.860498323047854e-06 1.822771318672608e-14 3.379854482954493e-05 2.407066139520353e-04 2.236466210347310e-02 3.374864618214553e-04 1.013374701090491e-13 8.871650972154731e-08 2.196729421798976e-11 2.925820540535259e-05 2.280145401982535e-12 1.687432367410496e-04 6.738422300787139e-04 6.260839093421923e-02 9.419175425376479e-04 6.142947411311666e-12 6.879593212961593e-07 4.841427063212847e-10 8.165298152548422e-05 5.014448428068659e-11 4.709588968870292e-04 1.443558326269967e-03 1.341246659724782e-01 2.006996665709688e-03 1.264032118647275e-10 3.098534129101142e-06 4.797696103256243e-09 1.739626179850554e-04 4.948757734403786e-10 1.003499528784589e-03 2.645631688031891e-03 2.458123513168804e-01 3.647208870054786e-03 1.375016683421319e-09 1.010704123307663e-05 2.988466079840464e-08 3.160904947326557e-04 3.060508608963269e-09 1.823611437100204e-03 4.375547662071155e-03 4.065432327479079e-01 5.958107896063007e-03 9.763673439717022e-09 2.651227140463756e-05 1.373527515093459e-07 5.163196265284049e-04 1.390083668569860e-08 2.979083441335553e-03 6.728435792545118e-03 6.251560375286207e-01 9.006889896161404e-03 5.087457263591366e-08 5.925972951102030e-05 5.090619312709152e-07 7.805819832890583e-04 5.058255577055298e-08 4.503542420131744e-03 9.750857883363828e-03 9.059769409737694e-01 1.276173335600337e-02 2.051758958254978e-07 1.158917818115543e-04 1.580450799810736e-06 1.106526307009019e-03 1.530261805632397e-07 6.381129782352761e-03 1.344077661230325e-02 1.248816650307437e+00 1.709397133602876e-02 6.651396035727217e-07 2.021231812119332e-04 4.208432668738271e-06 1.484005566085435e-03 3.944387546667676e-07 8.547583141739055e-03 1.779570471808556e-02 1.653444067774858e+00 2.183877398204209e-02 1.804567062551688e-06 3.208262966717785e-04 9.848617328794972e-06 1.900692298029541e-03 8.901134581678305e-07 1.092056525331698e-02 2.281270667696611e-02 2.119586446418365e+00 2.679125660356292e-02 4.235709648153382e-06 4.712926076184651e-04 2.062913410606426e-05 2.341878768539489e-03 1.798596477164773e-06 1.339770096939383e-02 2.848840068147995e-02 2.646929573927749e+00 3.170651421314002e-02 8.507932831231639e-06 6.492594665817762e-04 3.916621001820661e-05 2.789860151552547e-03 3.311923013899298e-06 1.585658107685826e-02 3.481896092001469e-02 3.235117984441154e+00 3.630661126693388e-02 1.593702361942601e-05 7.811484225150930e-04 6.799560871750777e-05 3.223117126297430e-03 5.636512278174371e-06 1.815750856075091e-02 4.180012015567314e-02 3.883755198153751e+00 4.079702128771125e-02 2.746799565904798e-05 9.966936101109183e-04 1.055696986542872e-04 3.617313817309304e-03 8.971095166827744e-06 2.040460180077761e-02 4.942717260268714e-02 4.592403988572638e+00 4.412362596698036e-02 4.413847053043822e-05 1.187444613496134e-03 1.557533644217885e-04 3.951838892781871e-03 1.348081929091107e-05 2.206981162917281e-02 5.769497709844340e-02 5.360586677237812e+00 4.631708135695895e-02 6.930953875343498e-05 1.375107689783927e-03 2.149815825276070e-04 4.221851970076690e-03 1.925877019981306e-05 2.316877073993040e-02 6.659796056898437e-02 6.187785455710644e+00 4.584154720039237e-02 1.005689755163288e-04 1.558973649258662e-03 2.796637565378320e-04 4.442137120553323e-03 2.627366595241701e-05 2.293407924183856e-02 7.613012178564638e-02 7.073442734612656e+00 4.698227367285319e-02 1.397190205064227e-04 1.741018717253264e-03 3.454156426584145e-04 4.623607180254039e-03 3.433045812116965e-05 2.350736430913402e-02 8.628503541030430e-02 8.016961519479471e+00 4.606802411195457e-02 1.869563313498338e-04 2.008773720883819e-03 4.080333533078365e-04 4.748225700966434e-03 4.311322188312469e-05 2.305608905534053e-02 9.705585632649549e-02 9.017705813176516e+00 4.487455592124828e-02 2.421525673270227e-04 2.175909990072579e-03 4.642597109187886e-04 4.796391854078401e-03 5.232902083456723e-05 2.246396554083896e-02 1.084353242535030e-01 1.007500104460520e+01 4.351287146200634e-02 3.048221430389854e-04 2.325578555463421e-03 5.123047729502695e-04 4.791771782248129e-03 6.180621514761516e-05 2.178801973003515e-02 1.204157686402891e-01 1.118813452341071e+01 4.209542446949723e-02 3.740932343695721e-04 2.466053950827161e-03 5.521933907150228e-04 4.788098137024108e-03 7.142028644998574e-05 2.108462786666828e-02 1.329891138359783e-01 1.235635592038466e+01 4.093171173398866e-02 4.488563146747039e-04 2.605743497856850e-03 5.854548840059174e-04 4.803443466324775e-03 8.096680918735839e-05 2.050851284614630e-02 1.461468845334070e-01 1.357887777323914e+01 4.040359813267728e-02 5.281192207423323e-04 2.748233685131286e-03 6.138414515288790e-04 4.803971332480877e-03 9.017104144175391e-05 2.025020024818453e-02 1.598802114820680e-01 1.485487601741089e+01 4.009130435511662e-02 6.112284244633843e-04 2.968401982595129e-03 6.384081359760190e-04 4.761445366058252e-03 9.883244379024922e-05 2.010284616299232e-02 1.741798374666018e-01 1.618349054153805e+01 3.950859990642073e-02 6.975803513573833e-04 3.085542280353045e-03 6.598673366148559e-04 4.670620288712941e-03 1.069457696251900e-04 1.981752164169422e-02 1.890361235468010e-01 1.756382576723481e+01 3.605982318109298e-02 7.862195563853804e-04 3.200956724170023e-03 6.793005006462426e-04 4.529479230103260e-03 1.147473532456162e-04 1.810507603541437e-02 2.044390555549258e-01 1.899495125277351e+01 3.721765179307692e-02 8.761614355096623e-04 3.314092086035211e-03 6.981905183854829e-04 4.340398591993680e-03 1.226721016424949e-04 1.868759260984756e-02 2.203782508459474e-01 2.047590232026682e+01 3.708634019234335e-02 9.383421330588217e-04 3.430002653611893e-03 7.176764968924033e-04 4.344695614826198e-03 1.310910574870634e-04 1.862821806443574e-02 2.368429652961714e-01 2.200568070592766e+01 3.541182880116765e-02 1.058610787288571e-03 3.550762061256674e-03 7.378691750763251e-04 4.079977613294847e-03 1.400126072053445e-04 1.780257135260122e-02 2.538221005455230e-01 2.358325523296822e+01 3.347508039743429e-02 1.150820076785598e-03 3.666317425170825e-03 7.722193802040208e-04 3.874636948865045e-03 1.491572733422310e-04 1.684745735953896e-02 2.713042114786114e-01 2.520756250668470e+01 2.548985926801733e-02 1.244478702611152e-03 3.770747925862858e-03 7.896045227416256e-04 3.651511102901174e-03 1.661294620726309e-04 1.289864520661939e-02 2.892775139395317e-01 2.687750763125906e+01 2.441385962786671e-02 1.342261251460312e-03 3.480727774983714e-03 8.080871955788062e-04 3.430915439177402e-03 1.783589731091884e-04 1.234862009537801e-02 3.077298926752047e-01 2.859196494779491e+01 2.324948034707371e-02 1.445887859204159e-03 3.520838389821456e-03 8.278555626644483e-04 3.217325248839967e-03 1.909298829801386e-04 1.177948673624621e-02 3.266489095018970e-01 3.034977879308962e+01 2.517604086051122e-02 1.554161215748926e-03 3.937007874238000e-03 8.488217390595440e-04 3.013625326012297e-03 1.866482184134211e-04 1.276468254106307e-02 3.460218116894204e-01 3.214976427863149e+01 2.330961428194333e-02 1.606263283827122e-03 3.856532776900342e-03 8.703308750950602e-04 2.753749776053689e-03 1.992136275778284e-04 1.184051355272707e-02 3.658355405573572e-01 3.399070808929695e+01 2.151781273142006e-02 1.698176804664305e-03 3.860939135545075e-03 8.919342193939055e-04 2.800678391445657e-03 2.116361919077291e-04 1.096365495868903e-02 3.860767402775169e-01 3.587136930120902e+01 1.983471538142654e-02 1.788764402330944e-03 3.884563829056951e-03 9.271371548360268e-04 2.664065232252451e-03 2.324738028034332e-04 1.014526303862130e-02 4.067317668766912e-01 3.779048021820623e+01 1.827635724046882e-02 1.878845751707180e-03 3.911636035984122e-03 9.633536771230012e-04 2.506421289156357e-03 2.470841780781156e-04 9.392233384796649e-03 4.277866974336383e-01 3.974674722635767e+01 1.674097994164683e-02 1.862288952871720e-03 3.904058804537259e-03 9.991641402723878e-04 2.428297482353243e-03 2.606160016268626e-04 8.645377445489214e-03 4.492273394640984e-01 4.173885166594866e+01 1.545014326036366e-02 1.932325665546138e-03 3.883607059972342e-03 1.035195587918239e-03 2.199276951704749e-03 2.725829719078969e-04 8.023764905575123e-03 4.710392404875134e-01 4.376545072034889e+01 1.419536060647111e-02 1.994744104615803e-03 3.877252392543652e-03 1.071723241032676e-03 2.070218791829506e-03 2.832004355343256e-04 7.424963853550684e-03 4.932076977690006e-01 4.582517832116393e+01 1.315573945500232e-02 2.050798162016428e-03 3.901546676603463e-03 1.109740278873914e-03 1.957523468650374e-03 2.823477529237693e-04 6.937242250688492e-03 5.157177682300171e-01 4.791664606906022e+01 1.226988703864551e-02 2.106424164357279e-03 3.956848888128765e-03 1.095691326005881e-03 1.871824284931676e-03 3.033956018388927e-04 6.531535114825519e-03 5.385542785210315e-01 5.003844416964252e+01 1.113788970702280e-02 2.161839284710348e-03 4.004858608440814e-03 1.194193576561420e-03 1.810279973301575e-03 3.121273625863430e-04 6.015916985221870e-03 5.617018352494142e-01 5.218914238375312e+01 1.066304511813626e-02 2.313374016600812e-03 4.028841816470932e-03 1.229403971624604e-03 1.704483009590139e-03 3.432000520222321e-04 5.815578150842744e-03 5.851448353556523e-01 5.436729099155238e+01 1.029761169962390e-02 2.355292151097246e-03 4.177175064139378e-03 1.253673047819439e-03 1.627116718944800e-03 3.386686358307345e-04 5.679722690187414e-03 6.088674766308949e-01 5.657142176973044e+01 1.000839249303514e-02 2.234634849421028e-03 4.188818794763706e-03 1.246148442363467e-03 1.583749556310730e-03 3.593653706413894e-04 5.538675746517727e-03 6.328537683687377e-01 5.880004898119160e+01 9.866951195583933e-03 2.230455394918130e-03 4.210142785819652e-03 1.270501142741879e-03 1.715780345023833e-03 3.523373699220587e-04 5.478525336295888e-03 6.570875421440694e-01 6.105167037654428e+01 9.924854879984372e-03 2.228511456780644e-03 4.217613372095725e-03 1.286663427965811e-03 1.673588973925955e-03 3.250082264663317e-04 5.505843946622371e-03 6.815524627117115e-01 6.332476820672129e+01 1.005557635074033e-02 2.238045119938361e-03 4.221650180765013e-03 1.295326080278154e-03 1.617294299371244e-03 3.242145333192064e-04 5.566547223216593e-03 7.062320390175080e-01 6.561781024604807e+01 1.014371986477279e-02 2.260275859750441e-03 4.231982495157467e-03 1.298236661678978e-03 1.547595629933368e-03 3.192848599196839e-04 5.610560923305172e-03 7.311096353144395e-01 6.792925082506910e+01 1.021593242395363e-02 2.354809575748757e-03 4.248238774835093e-03 1.299153680364910e-03 1.463339772951742e-03 3.108195630715803e-04 5.655924683834589e-03 7.561684823762714e-01 7.025753187243640e+01 1.031884218681714e-02 2.337406504742136e-03 4.285869664512144e-03 1.304243543445996e-03 1.244571659710967e-03 3.001867808073467e-04 5.707684557375989e-03 7.813916888011762e-01 7.260108396515768e+01 1.167046942295216e-02 2.317945837253299e-03 4.366033651765653e-03 1.321390623683880e-03 1.154374823402044e-03 2.840003624537756e-04 6.337092773994464e-03 8.067622523977100e-01 7.495832738649642e+01 1.187734883880345e-02 2.303070413998706e-03 4.454658149495169e-03 1.350734419072909e-03 1.053554791284354e-03 2.613583719252572e-04 6.446307625286850e-03 8.322630716454701e-01 7.732767319081047e+01 1.239846748163437e-02 2.300816826453340e-03 4.520760370868630e-03 1.415042327132058e-03 9.450238768825766e-04 2.346817926484601e-04 6.698003961869014e-03 8.578769572227056e-01 7.970752427461179e+01 1.266609139606786e-02 2.312742020683876e-03 4.603671256606573e-03 1.391739711851245e-03 8.397433945392060e-04 2.184131768691687e-04 6.836893226215520e-03 8.835866435931137e-01 8.209627645312491e+01 1.171225986433287e-02 2.331482254612150e-03 4.710737082674415e-03 1.382240395448970e-03 7.469417290513863e-04 1.876677004015865e-04 6.418798261655326e-03 9.093748006440093e-01 8.449231954161895e+01 1.204684442190834e-02 2.411465762849149e-03 4.447028031838460e-03 1.396755053568670e-03 5.694457237059963e-04 1.458846947860365e-04 6.532948912378979e-03 9.352240453680229e-01 8.689403844078367e+01 1.258246617426676e-02 2.445521651932946e-03 4.664628337038053e-03 1.446811075520265e-03 4.237760118262834e-04 1.061969884744887e-04 6.820150084480148e-03 9.611169535804548e-01 8.929981422541864e+01 1.265591696394699e-02 2.381040633553415e-03 4.653093293738309e-03 1.427948056282664e-03 2.587806043334987e-04 6.450680591084337e-05 6.846401717274304e-03 9.870360716643837e-01 9.170802523570104e+01 1.247564272438056e-02 2.452688112012716e-03 4.616213256995804e-03 1.385312361494473e-03 9.026234397129934e-05 2.162300710078652e-05 6.763260404480629e-03