% Filename : LM_Couette_R0093_100PI_RSTE_k_stdev.dat % % 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_RSTE_k_prof.dat % % 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(mnlee@sandia.gov) 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: (Half of sum of i=j=1, i=j=2 and i=j=3) % % y/delta : Grid point in wall-normal direction, Normalized by channel half width % y^+ : Grid point in wall-normal direction % Production : - dU_j/dU_k + - dU_i/dx_k % Turbulent Transport : - d/dx_k % Viscous Transport : nu d^2 / dx_k dx_k % Pressure Strain : % Pressure Transport : - ( d/dx_j + d/dx_i ) % Viscous Dissipation : 2 nu % Balance : Production + Turb_Trans + Visc_Trans + Press_Strain + Press_Trans - Vis_Diss % % * Data at y/delta = 1.0 is not computed due to code performance optimization % % ** Analytic values of Pressure_Strain are zero everywhere. These are reported here only for completeness of data with other quantities. % % -----------End of header--------- % % y/delta y^+ Production Turbulent_Transport Viscous_Transport Pressure_Strain Pressure_Transport Viscous_Dissipation Balance %-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 0.000000000000000e+00 0.000000000000000e+00 0.000000000000000e+00 5.955690689347840e-13 1.174936584356854e-03 0.000000000000000e+00 1.152813132924490e-14 1.174936674696735e-03 1.661611316405727e-03 4.814781378392752e-05 4.473535515368329e-03 1.815289541999711e-13 1.830046626707288e-09 1.174687761282078e-03 0.000000000000000e+00 2.716040525121908e-07 1.174751238629292e-03 1.661304309160657e-03 2.407066139520353e-04 2.236466210347310e-02 2.272836899027400e-11 4.575735775938107e-08 1.169396343229317e-03 0.000000000000000e+00 1.347564999543773e-06 1.169756001670937e-03 1.654031986154498e-03 6.738422300787139e-04 6.260839093421923e-02 5.008915284911175e-10 3.587044994720422e-07 1.167921767103500e-03 0.000000000000000e+00 3.708444489002806e-06 1.168611877806369e-03 1.652190142547535e-03 1.443558326269967e-03 1.341246659724782e-01 4.963243121952864e-09 1.646519160468960e-06 1.166415522295159e-03 0.000000000000000e+00 7.706263135061008e-06 1.166753668849035e-03 1.649849393732655e-03 2.645631688031891e-03 2.458123513168804e-01 3.091161259271033e-08 5.526563267813055e-06 1.166547068437979e-03 0.000000000000000e+00 1.346652613165259e-05 1.164281671719726e-03 1.648304813790881e-03 4.375547662071155e-03 4.065432327479079e-01 1.420417814703552e-07 1.506770202785914e-05 1.170905774768425e-03 0.000000000000000e+00 2.079546439792093e-05 1.161472048839524e-03 1.649682736513303e-03 6.728435792545118e-03 6.251560375286207e-01 5.262408741434381e-07 3.529975716503641e-05 1.182928285194375e-03 0.000000000000000e+00 2.913053568555865e-05 1.158484277321889e-03 1.656807545268248e-03 9.750857883363828e-03 9.059769409737694e-01 1.632580758809953e-06 7.259173493706731e-05 1.206670783571221e-03 0.000000000000000e+00 3.746122230653057e-05 1.154746123427314e-03 1.672941680790276e-03 1.344077661230325e-02 1.248816650307437e+00 4.340693387197580e-06 1.324652216860119e-04 1.244923937145081e-03 0.000000000000000e+00 4.466548308740154e-05 1.112655773987946e-03 1.676657889218977e-03 1.779570471808556e-02 1.653444067774858e+00 1.012737041127494e-05 2.167322736176962e-04 1.298717613553094e-03 0.000000000000000e+00 4.991908865442321e-05 1.097001041515446e-03 1.715988867360758e-03 2.281270667696611e-02 2.119586446418365e+00 2.109135841783682e-05 3.094795679351339e-04 1.346398358563654e-03 0.000000000000000e+00 5.280454747312286e-05 1.106395163263339e-03 1.772535152185075e-03 2.848840068147995e-02 2.646929573927749e+00 3.964056200533904e-05 4.097175584254700e-04 1.372437522774589e-03 0.000000000000000e+00 5.516270328772616e-05 1.056996869392128e-03 1.783312936945101e-03 3.481896092001469e-02 3.235117984441154e+00 6.769333875928036e-05 4.940267738497145e-04 1.360202003076188e-03 0.000000000000000e+00 5.390416918281796e-05 1.011908140694387e-03 1.770046788871264e-03 4.180012015567314e-02 3.883755198153751e+00 1.027307008366447e-04 5.445490856438792e-04 1.314283419029722e-03 0.000000000000000e+00 5.090796417501917e-05 9.259430097387099e-04 1.703565641283750e-03 4.942717260268714e-02 4.592403988572638e+00 1.463563561457010e-04 5.487102816230166e-04 1.188965592363497e-03 0.000000000000000e+00 4.648558298123614e-05 8.167656766400846e-04 1.553508135693212e-03 5.769497709844340e-02 5.360586677237812e+00 1.927298618272193e-04 5.002662017310914e-04 1.024567621430969e-03 0.000000000000000e+00 4.088397723879397e-05 7.423650273370515e-04 1.377706022793353e-03 6.659796056898437e-02 6.187785455710644e+00 2.361352104503497e-04 4.144519557008878e-04 8.050990802451224e-04 0.000000000000000e+00 3.433238857004713e-05 6.866647786445219e-04 1.164605667861721e-03 7.613012178564638e-02 7.073442734612656e+00 2.711659083288630e-04 3.285071865535450e-04 6.275958861681675e-04 0.000000000000000e+00 2.953081376712512e-05 6.494093975674659e-04 1.002974871975499e-03 8.628503541030430e-02 8.016961519479471e+00 2.942109511768665e-04 2.465879864535154e-04 3.700617893448992e-04 0.000000000000000e+00 2.360930892305488e-05 5.602363026572330e-04 7.789314818067373e-04 9.705585632649549e-02 9.017705813176516e+00 3.041345566683281e-04 2.078842573290013e-04 2.709559241799383e-04 0.000000000000000e+00 1.963240968623068e-05 4.654978803534120e-04 6.591778342455869e-04 1.084353242535030e-01 1.007500104460520e+01 3.021163005098195e-04 1.769515350415655e-04 1.720687827302389e-04 0.000000000000000e+00 1.705474190467011e-05 3.834600288771422e-04 5.546632289402651e-04 1.204157686402891e-01 1.118813452341071e+01 2.909552853161057e-04 1.703187940129438e-04 1.340987018776978e-04 0.000000000000000e+00 1.762187939055681e-05 3.625915321033541e-04 5.208137160388333e-04 1.329891138359783e-01 1.235635592038466e+01 2.740000426379439e-04 1.666780991995732e-04 1.217700030649240e-04 0.000000000000000e+00 1.892573499245555e-05 3.207352132117105e-04 4.781992374583415e-04 1.461468845334070e-01 1.357887777323914e+01 2.540613774889096e-04 1.561197598890607e-04 1.146122740083742e-04 0.000000000000000e+00 2.132131720273588e-05 2.735274150757497e-04 4.299657556041691e-04 1.598802114820680e-01 1.485487601741089e+01 2.330321859631269e-04 1.474466060365968e-04 1.070896139072987e-04 0.000000000000000e+00 2.274695137262723e-05 2.316071504651140e-04 3.860814693680687e-04 1.741798374666018e-01 1.618349054153805e+01 2.121683958601785e-04 1.360501774088036e-04 9.588035906082445e-05 0.000000000000000e+00 2.481991585763252e-05 1.937320621680311e-04 3.439371427369325e-04 1.890361235468010e-01 1.756382576723481e+01 1.923831759936054e-04 1.241584195119754e-04 8.125382683395618e-05 0.000000000000000e+00 2.548596265323589e-05 1.600306253568571e-04 3.044132625969782e-04 2.044390555549258e-01 1.899495125277351e+01 1.742903464123406e-04 1.123472606234435e-04 7.260495238737655e-05 0.000000000000000e+00 2.573902511787133e-05 1.251806582704093e-04 2.678235347903071e-04 2.203782508459474e-01 2.047590232026682e+01 1.581340222885900e-04 1.016970764787599e-04 7.103198599676373e-05 0.000000000000000e+00 2.576451350436434e-05 1.108172820843922e-04 2.458351334103556e-04 2.368429652961714e-01 2.200568070592766e+01 1.438212701604342e-04 9.279052425616502e-05 5.305257902500622e-05 0.000000000000000e+00 2.348104449730094e-05 9.915834905381996e-05 2.222008753056737e-04 2.538221005455230e-01 2.358325523296822e+01 1.330353422105372e-04 8.579097211405930e-05 4.088141351489746e-05 0.000000000000000e+00 2.329229512481667e-05 8.859050825100606e-05 2.053122006118493e-04 2.713042114786114e-01 2.520756250668470e+01 1.212388811618819e-04 7.992307122458744e-05 3.418603141633721e-05 0.000000000000000e+00 2.299988499893251e-05 8.291345829438883e-05 1.907399676190780e-04 2.892775139395317e-01 2.687750763125906e+01 1.109903649139593e-04 7.375644287450411e-05 2.867349779438361e-05 0.000000000000000e+00 2.253459913963730e-05 7.391164045162572e-05 1.759407994826347e-04 3.077298926752047e-01 2.859196494779491e+01 1.021186454600632e-04 7.071498169954850e-05 2.347870727485709e-05 0.000000000000000e+00 2.202718086050327e-05 6.724936735011935e-05 1.644227208979291e-04 3.266489095018970e-01 3.034977879308962e+01 9.444199059943600e-05 6.798315362032099e-05 2.012475418980449e-05 0.000000000000000e+00 2.083832419714513e-05 6.454932684909168e-05 1.558374682319661e-04 3.460218116894204e-01 3.214976427863149e+01 8.775592435691106e-05 6.528783829379050e-05 1.716672389715329e-05 0.000000000000000e+00 2.040590526725762e-05 6.157303050552343e-05 1.481389782808463e-04 3.658355405573572e-01 3.399070808929695e+01 8.190738238149484e-05 6.443239358098498e-05 1.547951979377028e-05 0.000000000000000e+00 2.027850691854477e-05 5.830603405151575e-05 1.411656005213113e-04 3.860767402775169e-01 3.587136930120902e+01 7.772684604246713e-05 6.206623193468679e-05 1.471937355553176e-05 0.000000000000000e+00 2.042795581450799e-05 5.597175815449837e-05 1.354942256499977e-04 4.067317668766912e-01 3.779048021820623e+01 7.412294764197376e-05 5.946213563608127e-05 1.458083810868611e-05 0.000000000000000e+00 2.055533727869369e-05 5.453069684175402e-05 1.304135040006794e-04 4.277866974336383e-01 3.974674722635767e+01 7.094831171513866e-05 5.828878596996779e-05 1.327359933396820e-05 0.000000000000000e+00 2.103362660222083e-05 5.164741989917694e-05 1.258169007890573e-04 4.492273394640984e-01 4.173885166594866e+01 6.819714188267973e-05 5.660318120642997e-05 1.241292368865625e-05 0.000000000000000e+00 2.131200958059403e-05 5.009766493725886e-05 1.220831927729740e-04 4.710392404875134e-01 4.376545072034889e+01 6.583820488176771e-05 5.497982374675893e-05 1.097758840931993e-05 0.000000000000000e+00 2.119057223096610e-05 4.906909392974437e-05 1.188777250863691e-04 4.932076977690006e-01 4.582517832116393e+01 6.387839940424308e-05 5.545487346525720e-05 1.048102291956463e-05 0.000000000000000e+00 2.048961687505189e-05 4.982649171164779e-05 1.176947054198499e-04 5.157177682300171e-01 4.791664606906022e+01 5.975584400539254e-05 5.202286324269894e-05 9.716889158020791e-06 0.000000000000000e+00 1.897355491502131e-05 4.830949554306135e-05 1.125720671139596e-04 5.385542785210315e-01 5.003844416964252e+01 6.116070931869328e-05 5.115129094514064e-05 9.126734705903103e-06 0.000000000000000e+00 1.842525410477874e-05 4.797649662271794e-05 1.125545752185153e-04 5.617018352494142e-01 5.218914238375312e+01 5.983242004093708e-05 4.982127676533009e-05 8.182116811450295e-06 0.000000000000000e+00 1.826710746162457e-05 4.815768869004459e-05 1.124054788194523e-04 5.851448353556523e-01 5.436729099155238e+01 5.827213668505127e-05 4.885680734458865e-05 7.375945475359885e-06 0.000000000000000e+00 1.838795404687446e-05 4.976040719346995e-05 1.132709152742077e-04 6.088674766308949e-01 5.657142176973044e+01 5.568202384470074e-05 4.814824351990427e-05 6.972971653456354e-06 0.000000000000000e+00 1.849759359354034e-05 5.028001258207453e-05 1.120432573091957e-04 6.328537683687377e-01 5.880004898119160e+01 5.460378995540490e-05 5.808470282345275e-05 6.886180662942381e-06 0.000000000000000e+00 1.853178598615039e-05 5.071559920568516e-05 1.169943263362060e-04 6.570875421440694e-01 6.105167037654428e+01 5.340047724764195e-05 6.001015013621451e-05 6.466390422189357e-06 0.000000000000000e+00 1.833608659652848e-05 5.049960489113216e-05 1.171749256406219e-04 6.815524627117115e-01 6.332476820672129e+01 5.210534414086977e-05 6.124386813628498e-05 5.984521350281364e-06 0.000000000000000e+00 1.821086763515326e-05 5.147388626136237e-05 1.182525849871644e-04 7.062320390175080e-01 6.561781024604807e+01 5.078358162119376e-05 6.465691742158907e-05 5.712494630352420e-06 0.000000000000000e+00 1.755848053184171e-05 5.149233384940452e-05 1.196457153545141e-04 7.311096353144395e-01 6.792925082506910e+01 4.956148867872008e-05 7.444366750518581e-05 5.560459841158103e-06 0.000000000000000e+00 1.657127642890149e-05 5.253125290747437e-05 1.266310452161921e-04 7.561684823762714e-01 7.025753187243640e+01 4.863281570856084e-05 7.280360686379096e-05 5.296713385303638e-06 0.000000000000000e+00 1.595555708326160e-05 5.258314789540057e-05 1.257788615585108e-04 7.813916888011762e-01 7.260108396515768e+01 4.823234925603384e-05 6.088450476322022e-05 5.069752699187516e-06 0.000000000000000e+00 1.562218507308139e-05 5.281181965168699e-05 1.190957830360660e-04 8.067622523977100e-01 7.495832738649642e+01 4.833505142842851e-05 6.473851913175651e-05 6.989070809174248e-06 0.000000000000000e+00 1.538234160029961e-05 5.339880139670666e-05 1.232813939443934e-04 8.322630716454701e-01 7.732767319081047e+01 4.964527883423189e-05 6.399871657652950e-05 7.651311106195478e-06 0.000000000000000e+00 1.616473990147331e-05 5.361053227399749e-05 1.250894439584126e-04 8.578769572227056e-01 7.970752427461179e+01 4.827197588186146e-05 6.769977223595780e-05 7.542742019653828e-06 0.000000000000000e+00 1.708034943878847e-05 5.318238046485716e-05 1.274055714664202e-04 8.835866435931137e-01 8.209627645312491e+01 4.746398804126847e-05 6.929409691006473e-05 6.419009060703038e-06 0.000000000000000e+00 1.868486918125166e-05 5.340712330841779e-05 1.265798532793670e-04 9.093748006440093e-01 8.449231954161895e+01 4.750861052643690e-05 7.525367823535418e-05 6.176963945075754e-06 0.000000000000000e+00 2.107499414689650e-05 5.214675626546721e-05 1.308615625068579e-04 9.352240453680229e-01 8.689403844078367e+01 4.874201242042526e-05 7.629193674118227e-05 6.316384343414217e-06 0.000000000000000e+00 2.335405072541409e-05 5.260511138538436e-05 1.337242129402091e-04 9.611169535804548e-01 8.929981422541864e+01 4.796377012927956e-05 7.558306199647979e-05 6.872531443973971e-06 0.000000000000000e+00 2.478394234963498e-05 5.320463143726608e-05 1.335547667648605e-04 9.870360716643837e-01 9.170802523570104e+01 4.656866143354904e-05 7.538628676485171e-05 8.023932366502298e-06 0.000000000000000e+00 2.551475593030796e-05 5.202326996967526e-05 1.325776953576673e-04