% Filename : LM_Couette_R0093_020PI_RSTE_ww_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_020PI_RSTE_ww_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 = 640 % Grid (wall-normal) ny = 128 % Grid (spanwise) nz = 288 % Streamwise domain size Lx = 20pi % 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 = 6.19521e-02 % Re_tau Re_tau = 92.928 % % % 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: (u_i=w, u_j=w) % % 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 % % ** Production 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. % % *** Analytic values of Pressure_Transport 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 1.976106127778855e-13 7.477997922718842e-04 2.973214364742854e-22 0.000000000000000e+00 7.477896589255829e-04 1.057541442837071e-03 4.814781378392752e-05 4.474289989264460e-03 1.296615900925980e-16 1.588112427693467e-13 7.448345291100960e-04 1.014364605036402e-06 0.000000000000000e+00 7.458182211205797e-04 1.054051385676086e-03 2.407066139520353e-04 2.236843396438600e-02 1.621497014796125e-14 1.731060472718209e-11 7.330737686118837e-04 5.040325722285297e-06 0.000000000000000e+00 7.379875310659925e-04 1.040215434955229e-03 6.738422300787139e-04 6.261895000913356e-02 3.563779193372995e-13 3.822785549439229e-10 7.070477565201675e-04 1.391817358849999e-05 0.000000000000000e+00 7.206735388188399e-04 1.009693317354363e-03 1.443558326269967e-03 1.341472864611176e-01 3.513693155614162e-12 3.807785073974640e-09 6.624797481623813e-04 2.910210445873174e-05 0.000000000000000e+00 6.910220905577807e-04 9.577253671395386e-04 2.645631688031891e-03 2.458538082365311e-01 2.170428540771323e-11 2.573689913665912e-08 5.973349643535643e-04 5.136645986703381e-05 0.000000000000000e+00 6.476098662328590e-04 8.825225846079382e-04 4.375547662071155e-03 4.066117973665867e-01 9.849097002240190e-11 1.200768840294954e-07 5.124104656612032e-04 7.819673523914280e-05 0.000000000000000e+00 5.908377423870028e-04 7.859824851538549e-04 6.728435792545118e-03 6.252614717896664e-01 3.585363591365325e-10 4.471348323978945e-07 4.117710974102110e-04 1.117434538703540e-04 0.000000000000000e+00 5.229725542732009e-04 6.749389073079195e-04 9.750857883363828e-03 9.061297364417193e-01 1.088073357903465e-09 1.362478338639065e-06 3.050374786594647e-04 1.477882687155018e-04 0.000000000000000e+00 4.491019514166442e-04 5.626576711211656e-04 1.344077661230325e-02 1.249027266622089e+00 2.823948170692098e-09 3.449860211809845e-06 2.048053068984866e-04 1.830372275451621e-04 0.000000000000000e+00 3.757813945803945e-04 4.654797508565164e-04 1.779570471808556e-02 1.653722925600746e+00 6.440485982004402e-09 7.429729127411932e-06 1.129489907045124e-04 2.150717394580113e-04 0.000000000000000e+00 3.090112896263075e-04 3.931367518403272e-04 2.281270667696611e-02 2.119943920420510e+00 1.318339385571947e-08 1.391933198169882e-05 5.495449408284804e-05 2.425904097660247e-04 0.000000000000000e+00 2.538264575476018e-04 3.556567472411183e-04 2.848840068147995e-02 2.647375985778413e+00 2.404301360808744e-08 2.313810887102330e-05 5.150297052533491e-05 2.653271078478450e-04 0.000000000000000e+00 2.135103864547462e-04 3.452145534534782e-04 3.481896092001469e-02 3.235663595862318e+00 4.167623833055762e-08 3.463675185601736e-05 6.835949265639665e-05 2.837208492071443e-04 0.000000000000000e+00 1.892293983525894e-04 3.495397145218125e-04 4.180012015567314e-02 3.884410204000000e+00 6.677586029473435e-08 5.117945757076762e-05 7.492589606981305e-05 2.984571184247128e-04 0.000000000000000e+00 1.800652398917145e-04 3.601851931906164e-04 4.942717260268714e-02 4.593178509959126e+00 9.930872511430649e-08 6.408032935389298e-05 7.019706770426940e-05 3.099776293777472e-04 0.000000000000000e+00 1.837392015931887e-04 3.726662739011333e-04 5.769497709844340e-02 5.361490754717924e+00 1.376332947455996e-07 7.033460468006091e-05 6.106644122678726e-05 3.181112189511110e-04 0.000000000000000e+00 1.954197493129978e-04 3.847852801844757e-04 6.659796056898437e-02 6.188829042507967e+00 1.682955041269726e-07 7.409635692752304e-05 5.344379484754410e-05 3.221006804506689e-04 0.000000000000000e+00 2.097947720668241e-04 3.951066088720469e-04 7.613012178564638e-02 7.074635689911818e+00 2.063283544777724e-07 7.245568312377862e-05 4.904869952986283e-05 3.262190566576238e-04 0.000000000000000e+00 2.227749183949543e-04 4.046024971578433e-04 8.628503541030430e-02 8.018313601780362e+00 2.388496649144910e-07 6.622141018897250e-05 4.549736364265808e-05 3.215849583769059e-04 0.000000000000000e+00 2.331056918694619e-04 4.052289369618459e-04 9.705585632649549e-02 9.019226673716386e+00 2.626991880413533e-07 6.183225045743252e-05 4.477858435030494e-05 3.105537363175012e-04 0.000000000000000e+00 2.398346500897398e-04 3.997407914490832e-04 1.084353242535030e-01 1.007670022085306e+01 2.684698756376573e-07 5.405915732884658e-05 4.527813949923157e-05 2.992185814499483e-04 0.000000000000000e+00 2.422150998842166e-04 3.913725700410433e-04 1.204157686402891e-01 1.119002143263839e+01 2.733888831000927e-07 5.396008783845435e-05 4.322459768986025e-05 2.759777167864508e-04 0.000000000000000e+00 2.417663778283357e-04 3.733561480374488e-04 1.329891138359783e-01 1.235843985331896e+01 2.685858007014480e-07 5.503453209384267e-05 4.007532598965571e-05 2.531123632289220e-04 0.000000000000000e+00 2.387022663491085e-04 3.545131083526083e-04 1.461468845334070e-01 1.358116788779919e+01 2.548389008168760e-07 5.716679459906457e-05 3.719234226825279e-05 2.378098320335311e-04 0.000000000000000e+00 2.319892670795713e-04 3.391517564792033e-04 1.598802114820680e-01 1.485738133253512e+01 2.332737418039745e-07 5.999657315212229e-05 3.553706475805639e-05 2.215038912289490e-04 0.000000000000000e+00 2.240707759462971e-04 3.226983307068641e-04 1.741798374666018e-01 1.618621993110474e+01 2.000165815178912e-07 6.300052277059500e-05 3.569011758503456e-05 2.080602443592836e-04 0.000000000000000e+00 2.177657656642843e-04 3.097642399429468e-04 1.890361235468010e-01 1.756678795408055e+01 1.541289360921667e-07 6.550707011288527e-05 3.593196614366596e-05 1.968156325319570e-04 0.000000000000000e+00 2.119458248043729e-04 2.987301994148118e-04 2.044390555549258e-01 1.899815480281335e+01 1.169047275822118e-07 6.731439276748467e-05 3.509527656361711e-05 1.869425176634663e-04 0.000000000000000e+00 2.051411470177396e-04 2.877382746308815e-04 2.203782508459474e-01 2.047935563672029e+01 8.450574317473972e-08 6.825876588278689e-05 3.359569338122335e-05 1.778968214693208e-04 0.000000000000000e+00 1.998149756449064e-04 2.781388869893760e-04 2.368429652961714e-01 2.200939202365436e+01 5.063007382809910e-08 7.628898392660752e-05 3.135999677878077e-05 1.694478648313942e-04 0.000000000000000e+00 1.847770828380187e-04 2.639291766136707e-04 2.538221005455230e-01 2.358723261291702e+01 2.476836627236269e-08 7.630823552280279e-05 2.842119475159832e-05 1.615499588048990e-04 0.000000000000000e+00 1.774759850684309e-04 2.534301209388068e-04 2.713042114786114e-01 2.521181383046006e+01 4.183510495221847e-08 7.761369238866690e-05 2.608570367218731e-05 1.544316624302995e-04 0.000000000000000e+00 1.743968971917792e-04 2.469165183691803e-04 2.892775139395317e-01 2.688204059580828e+01 8.034304980626884e-08 7.088752268088708e-05 2.491620614795307e-05 1.485821139378995e-04 0.000000000000000e+00 1.791069869007227e-04 2.445441105292802e-04 3.077298926752047e-01 2.859678706021989e+01 1.196840517193270e-07 7.133024139432035e-05 2.472181178151225e-05 1.440893885566370e-04 0.000000000000000e+00 1.738105385465200e-04 2.380568017172825e-04 3.266489095018970e-01 3.035489736558649e+01 1.567984192205862e-07 7.108847614693389e-05 2.452639126714145e-05 1.405206909931281e-04 0.000000000000000e+00 1.687392733475918e-04 2.321080499730371e-04 3.460218116894204e-01 3.215518642356176e+01 1.983607243814143e-07 6.802896660911318e-05 2.341766508437122e-05 1.373920568087523e-04 0.000000000000000e+00 1.658221711946328e-04 2.270461107720767e-04 3.658355405573572e-01 3.399644071439321e+01 2.356712134359976e-07 6.617326631146009e-05 2.232717643992672e-05 1.344618912343730e-04 0.000000000000000e+00 1.638058285890539e-04 2.231363018361171e-04 3.860767402775169e-01 3.587741910491870e+01 2.753082238418891e-07 6.335872263739330e-05 1.985889971440840e-05 1.316272511927516e-04 0.000000000000000e+00 1.609722051392683e-04 2.182809279590995e-04 4.067317668766912e-01 3.779685368517636e+01 3.163617755855154e-07 6.037052095818006e-05 1.870979898359261e-05 1.325274727786535e-04 0.000000000000000e+00 1.588481717043553e-04 2.163123416692968e-04 4.277866974336383e-01 3.975345062306378e+01 3.543131384364899e-07 5.823709888113567e-05 1.763434623880481e-05 1.313869063905048e-04 0.000000000000000e+00 1.582497578813885e-04 2.144951291557611e-04 4.492273394640984e-01 4.174589103647076e+01 3.835052642356410e-07 5.704469559026374e-05 1.662086967209506e-05 1.380992370167352e-04 0.000000000000000e+00 1.578423569506832e-04 2.179818951020512e-04 4.710392404875134e-01 4.377283188229730e+01 3.940869178593296e-07 5.684881044788205e-05 1.586764155822506e-05 1.457567843411889e-04 0.000000000000000e+00 1.583684753481761e-04 2.231800590734935e-04 4.932076977690006e-01 4.583290686175786e+01 4.077454061486089e-07 5.563394122172198e-05 1.553227953430589e-05 1.488422652333713e-04 0.000000000000000e+00 1.590269165207585e-04 2.253444773621302e-04 5.157177682300171e-01 4.792472734136154e+01 4.079126562689224e-07 5.579953148027147e-05 1.481877303717147e-05 1.517624372146945e-04 0.000000000000000e+00 1.661668877909576e-04 2.323286940693227e-04 5.385542785210315e-01 5.004688328894745e+01 4.133511362041147e-07 5.294009217592469e-05 1.380840117581570e-05 1.538595208645754e-04 0.000000000000000e+00 1.691141438201715e-04 2.350868817320436e-04 5.617018352494142e-01 5.219794422414419e+01 4.121975887537962e-07 5.196126961444232e-05 1.253068277154650e-05 1.553509699147687e-04 0.000000000000000e+00 1.640617600692794e-04 2.321795564385617e-04 5.851448353556523e-01 5.437646018261292e+01 4.081571316117861e-07 5.205590363823920e-05 1.142929229061498e-05 1.570583198622951e-04 0.000000000000000e+00 1.682780994550420e-04 2.362740929773513e-04 6.088674766308949e-01 5.658096269342394e+01 3.991197818680447e-07 5.134318023673005e-05 1.177480356458549e-05 1.658594063548031e-04 0.000000000000000e+00 1.719007535517532e-04 2.446101780393336e-04 6.328537683687377e-01 5.880996576890798e+01 3.872006555438724e-07 5.116529395440473e-05 1.239856673697496e-05 1.700078677746948e-04 0.000000000000000e+00 1.732210544992132e-04 2.483545258577685e-04 6.570875421440694e-01 6.106196690631499e+01 3.604696188698700e-07 5.172525633304271e-05 1.241348607867633e-05 1.948104990992601e-04 0.000000000000000e+00 1.757219814349211e-04 2.676921217301850e-04 6.815524627117115e-01 6.333544810060531e+01 3.219766149569691e-07 5.176875963108850e-05 1.208344132215928e-05 2.020144826184739e-04 0.000000000000000e+00 1.764311645943998e-04 2.734299265344120e-04 7.062320390175080e-01 6.562887686769037e+01 2.849816078911456e-07 5.067213076458475e-05 1.123732146772947e-05 2.086828440969006e-04 0.000000000000000e+00 1.783069040686518e-04 2.793490735682291e-04 7.311096353144395e-01 6.794070727743329e+01 2.478031508443037e-07 4.750120523430163e-05 1.108166253526727e-05 2.143903875916066e-04 0.000000000000000e+00 1.870443686998545e-04 2.886660064913512e-04 7.561684823762714e-01 7.026938099571314e+01 2.162541447287463e-07 4.625834087037164e-05 1.010601219615829e-05 2.261469605554780e-04 0.000000000000000e+00 1.849010147124699e-04 2.959270946679696e-04 7.813916888011762e-01 7.261332833485017e+01 1.948872036538413e-07 4.310518174177750e-05 9.505604852916914e-06 2.297873664663768e-04 0.000000000000000e+00 1.861815312122421e-04 2.990221522725727e-04 8.067622523977100e-01 7.497096931168434e+01 1.860095591331978e-07 5.302116068276638e-05 9.038609970971455e-06 2.307773125615134e-04 0.000000000000000e+00 1.860533886170202e-04 3.012756312065441e-04 8.322630716454701e-01 7.734071471259355e+01 1.885982410314844e-07 4.758011320304580e-05 8.971550636724401e-06 2.288697087186945e-04 0.000000000000000e+00 1.818471635548867e-04 2.963007356124454e-04 8.578769572227056e-01 7.972096716473389e+01 1.989818839073668e-07 5.267941289956828e-05 8.790431494980241e-06 2.249816657863612e-04 0.000000000000000e+00 1.778218487491897e-04 2.917015455147382e-04 8.835866435931137e-01 8.211012221277981e+01 2.128398670052561e-07 5.611805254693732e-05 8.467982771302200e-06 2.209906419239717e-04 0.000000000000000e+00 1.792002485227023e-04 2.901216654151362e-04 9.093748006440093e-01 8.450656940043839e+01 2.258969746678285e-07 6.114034593902003e-05 8.171114140944103e-06 2.162834657172502e-04 0.000000000000000e+00 1.744309148246167e-04 2.846219275222979e-04 9.352240453680229e-01 8.690869335600851e+01 2.348050939248633e-07 6.717600003273011e-05 9.485175220944977e-06 2.493850962133564e-04 0.000000000000000e+00 1.739865620443572e-04 3.115555947951529e-04 9.611169535804548e-01 8.931487488125360e+01 2.362723871552426e-07 7.275334928577813e-05 1.205193712402563e-05 2.133813296047639e-04 0.000000000000000e+00 1.655881256523436e-04 2.799810244040371e-04 9.870360716643837e-01 9.172349204285356e+01 2.373349634030386e-07 7.735474868917426e-05 1.393248949571061e-05 2.182496000716924e-04 0.000000000000000e+00 1.696580067562793e-04 2.873928581648570e-04