% Filename : LM_Couette_R0220_100PI_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_R0220_100PI_RSTE_ww_prof.dat % % 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(mnlee@sandia.gov) 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: (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 1.418546950649806e-13 3.293252913289324e-04 3.328715128053085e-23 0.000000000000000e+00 3.293219615536607e-04 4.657339389291240e-04 2.059765673623204e-05 4.520751555384802e-03 3.384998992455403e-16 9.037615242830932e-14 3.281674343172749e-04 3.992808584713156e-07 0.000000000000000e+00 3.285517930235143e-04 4.643708701787323e-04 1.029823439926414e-04 2.260245414047382e-02 4.237429257256767e-14 7.084229093445998e-12 3.235748765956910e-04 1.983406245857243e-06 0.000000000000000e+00 3.254936839188679e-04 4.589670717331786e-04 2.883256182004690e-04 6.328139669617082e-02 9.333513460336211e-13 1.590951347140374e-10 3.134183874090953e-04 5.472906974032208e-06 0.000000000000000e+00 3.187363224778788e-04 4.470502002500522e-04 6.177693459122890e-04 1.355873518607302e-01 9.237675407679740e-12 1.626447042689021e-09 2.960408650271550e-04 1.142841947890385e-05 0.000000000000000e+00 3.071747378307958e-04 4.267635435482693e-04 1.132413839837088e-03 2.485409720794912e-01 5.739658638503189e-11 1.051928590297861e-08 2.706453609707494e-04 2.013060705522736e-05 0.000000000000000e+00 2.902595057672654e-04 3.973722858407655e-04 1.873306006858533e-03 4.111511883446703e-01 2.626323232489260e-10 4.994705436678622e-08 2.374928362315915e-04 3.147078956691837e-05 0.000000000000000e+00 2.681354158095565e-04 3.595689941630560e-04 2.881427511453483e-03 6.324126123151812e-01 9.670556616597291e-10 1.869599319604593e-07 1.979474723574834e-04 4.490231650134770e-05 0.000000000000000e+00 2.416384682781583e-04 3.155766216731995e-04 4.177085301188321e-03 9.167821910103595e-01 2.978558265588076e-09 5.635405210007358e-07 1.549106304443835e-04 5.929704176954599e-05 0.000000000000000e+00 2.126377405181842e-04 2.696823480815252e-04 5.759905750861605e-03 1.264177921572687e+00 7.625850869327768e-09 1.318058849281327e-06 1.113982186170513e-04 7.336809524012506e-05 0.000000000000000e+00 1.835092397999486e-04 2.268696077914695e-04 7.629432426981109e-03 1.674499626470013e+00 1.777384088693957e-08 2.753305896084325e-06 6.976099949754526e-05 8.622215080255924e-05 0.000000000000000e+00 1.563998194245530e-04 1.917533333874940e-04 9.785126219384543e-03 2.147628982383531e+00 3.716309226324000e-08 4.968254642641029e-06 3.701034937667991e-05 9.744297639570532e-05 0.000000000000000e+00 1.331869931640847e-04 1.691991716682366e-04 1.222636549670120e-02 2.683429554328328e+00 7.068048338905343e-08 7.920987663655293e-06 1.519386719553080e-05 1.070263881648108e-04 0.000000000000000e+00 1.153432654206709e-04 1.582792383200085e-04 1.495244628560999e-02 3.281746834996754e+00 1.234418569707065e-07 1.136482288310595e-05 1.434454366552147e-05 1.133594794355783e-04 0.000000000000000e+00 1.037547193129607e-04 1.547590182433483e-04 1.796258247384253e-02 3.942408289313313e+00 1.991716867761819e-07 1.490107594796215e-05 1.986721419311850e-05 1.205997085103401e-04 0.000000000000000e+00 9.839661770066798e-05 1.576165346696641e-04 2.125590603687155e-02 4.665223404187998e+00 2.896687947826470e-07 1.810181242900876e-05 2.254657825650771e-05 1.269042095461863e-04 0.000000000000000e+00 9.796065250440206e-05 1.629020428108042e-04 2.483146728822128e-02 5.449983743454135e+00 4.029611312155640e-07 2.097148441134120e-05 2.247126131676850e-05 1.321363428184545e-04 0.000000000000000e+00 1.003488601489106e-04 1.687448664341426e-04 2.868823515332564e-02 6.296463007974501e+00 5.200132540246032e-07 2.225502591123030e-05 2.107232786582659e-05 1.359702959528048e-04 0.000000000000000e+00 1.035912369611499e-04 1.736625041579592e-04 3.282509746685636e-02 7.204417100898564e+00 6.247374407611669e-07 2.288444901804117e-05 2.060293429882789e-05 1.380306784851006e-04 0.000000000000000e+00 1.064304286309993e-04 1.769985128386295e-04 3.724086129343462e-02 8.173584198051939e+00 6.705725329113371e-07 2.253012523506823e-05 1.902805622959455e-05 1.380463753689702e-04 0.000000000000000e+00 1.084150199053773e-04 1.779908464727901e-04 4.193425327163525e-02 9.203684823438048e+00 6.977090290529980e-07 2.137385277530554e-05 1.817343737201837e-05 1.359426245343457e-04 0.000000000000000e+00 1.095027716910735e-04 1.768017431463213e-04 4.690391998118171e-02 1.029442192982970e+01 7.161078918256670e-07 2.120822177802424e-05 1.739685671480958e-05 1.318728043594418e-04 0.000000000000000e+00 1.096213117313999e-04 1.736669819522139e-04 5.214842833322808e-02 1.144548098442774e+01 6.999672991441299e-07 1.943840270026767e-05 1.713218571390243e-05 1.283035195256232e-04 0.000000000000000e+00 1.087014011861631e-04 1.701459402500995e-04 5.766626598361557e-02 1.265653005956216e+01 6.543259589024550e-07 1.767613876536451e-05 1.567562040202361e-05 1.220674978726357e-04 0.000000000000000e+00 1.052442889475380e-04 1.628970027104859e-04 6.345584176898234e-02 1.392721992840900e+01 5.878340917947282e-07 1.374070755249001e-05 1.468639574607461e-05 1.187302229315441e-04 0.000000000000000e+00 1.033085626000868e-04 1.586643241464289e-04 6.951548616560277e-02 1.525718416569592e+01 5.102946285343514e-07 1.312407736388080e-05 1.428737295405477e-05 1.127275952497533e-04 0.000000000000000e+00 1.008642992762946e-04 1.525049128142416e-04 7.584345177082374e-02 1.664603925336729e+01 4.303120102826850e-07 1.269711675366853e-05 1.086113994610490e-05 1.073030388562098e-04 0.000000000000000e+00 9.793417769027298e-05 1.462340986598495e-04 8.243791380695809e-02 1.809338469117819e+01 3.540685052716800e-07 1.232452857985063e-05 9.362073036867489e-06 1.036521953270027e-04 0.000000000000000e+00 9.456524351197469e-05 1.411595928633821e-04 8.929697064749043e-02 1.959880311218551e+01 3.341530438844651e-07 1.170156850118804e-05 8.311843003245452e-06 9.870057580660272e-05 0.000000000000000e+00 9.255239238079061e-05 1.360656977262017e-04 9.641864436544412e-02 2.116186040310295e+01 2.665854794760209e-07 1.113007660999768e-05 7.617029144297676e-06 9.425875994994257e-05 0.000000000000000e+00 8.911975863406340e-05 1.304186106828392e-04 1.038008813037503e-01 2.278210582948498e+01 2.059903594600143e-07 1.096597528892395e-05 7.336574183526882e-06 9.034580073550023e-05 0.000000000000000e+00 8.534001135989468e-05 1.249776044588051e-04 1.114415526674554e-01 2.445907216570389e+01 1.525300869113571e-07 1.128222338266143e-05 6.696840203718470e-06 8.693909527765995e-05 0.000000000000000e+00 8.157760356099703e-05 1.199394480104484e-04 1.193384551375956e-01 2.619227582968237e+01 1.061460788328045e-07 1.167704767911648e-05 5.874854717080940e-06 8.398419259955703e-05 0.000000000000000e+00 7.817624816520859e-05 1.154805135562922e-04 1.274893115065617e-01 2.798121702234264e+01 6.647831647148209e-08 1.202241171861620e-05 5.341723845675425e-06 8.138866770148643e-05 0.000000000000000e+00 7.499972997700582e-05 1.114547062415433e-04 1.358917713347718e-01 2.982537987173227e+01 3.286819569795683e-08 1.251619682589190e-05 4.639384993389971e-06 8.275388752339528e-05 0.000000000000000e+00 7.190334004090412e-05 1.104376582769315e-04 1.445434116284596e-01 3.172423258178446e+01 4.601924576802996e-09 1.297117780970812e-05 4.026187931720691e-06 8.099891478934837e-05 0.000000000000000e+00 6.883147430473539e-05 1.071590300265259e-04 1.534417375383876e-01 3.367722758567084e+01 1.881494526780614e-08 1.295688043608657e-05 4.393544863757376e-06 7.910525135939471e-05 0.000000000000000e+00 6.578634486218205e-05 1.037914654683420e-04 1.625841830792791e-01 3.568380170370165e+01 3.921167408711936e-08 1.579420220517105e-05 3.780983520655580e-06 8.181321142088356e-05 0.000000000000000e+00 6.284948216822212e-05 1.044376041904857e-04 1.719681118697645e-01 3.774337630572830e+01 5.532210153607284e-08 1.582715026877273e-05 3.634979466365483e-06 7.960424354469902e-05 0.000000000000000e+00 5.999120731041628e-05 1.009925510459619e-04 1.815908178926267e-01 3.985535747800134e+01 4.979577117827074e-08 1.407835993171766e-05 3.388722442372917e-06 7.669701469183691e-05 0.000000000000000e+00 5.664770774492192e-05 9.644211213557694e-05 1.914495262751283e-01 4.201913619443570e+01 5.876105787363241e-08 1.663153557622596e-05 2.785062862185887e-06 7.317450266249369e-05 0.000000000000000e+00 5.392062817891229e-05 9.244625458472249e-05 2.015413940891936e-01 4.423408849223378e+01 6.656721714227002e-08 1.649236348934890e-05 2.648401125124531e-06 6.914815166828500e-05 0.000000000000000e+00 5.115020217123586e-05 8.761750153067146e-05 2.118635111712157e-01 4.649957565181599e+01 7.330069859086860e-08 1.322104381552304e-05 2.601553073525436e-06 5.998465037717553e-05 0.000000000000000e+00 4.880728443908811e-05 7.849763529017164e-05 2.224129009612524e-01 4.881494438100636e+01 7.660723791387571e-08 1.712058794848879e-05 2.508390054275566e-06 5.706234253106957e-05 0.000000000000000e+00 4.739072466608895e-05 7.616694913507690e-05 2.331865213613683e-01 5.117952700342067e+01 8.190105023877947e-08 1.690959578492175e-05 2.424293383661005e-06 5.412816196373102e-05 0.000000000000000e+00 4.488646268641657e-05 7.236346305887039e-05 2.441812656128760e-01 5.359264165100237e+01 8.671008169985522e-08 1.567698270440079e-05 2.221506745479232e-06 5.127077673183130e-05 0.000000000000000e+00 4.341096083984164e-05 6.902111608266066e-05 2.553939631922236e-01 5.605359246065102e+01 8.862238689321506e-08 2.111010531650227e-05 2.077447763647411e-06 4.854199269106284e-05 0.000000000000000e+00 4.170866474511765e-05 6.742327460789618e-05 2.668213807252695e-01 5.856166977488628e+01 9.285323088340694e-08 1.389624436146067e-05 1.902790470411566e-06 4.591773272275378e-05 0.000000000000000e+00 4.004272433674718e-05 6.251873952150011e-05 2.784602229196816e-01 6.111615034648999e+01 9.646105460683028e-08 1.338616425654520e-05 1.838664742143918e-06 4.333974100711693e-05 0.000000000000000e+00 3.832405220928239e-05 5.941081984433512e-05 2.903071335151914e-01 6.371629754706679e+01 9.458535205879277e-08 1.055686935556306e-05 1.828455854599095e-06 4.137073478456385e-05 0.000000000000000e+00 3.699560026183696e-05 5.652443562867143e-05 3.023586962514291e-01 6.636136157946363e+01 9.828706695126118e-08 1.050535212022924e-05 1.796756269984983e-06 3.908803375209010e-05 0.000000000000000e+00 3.611683158037906e-05 5.427614874529388e-05 3.146114358530614e-01 6.905057969398675e+01 1.015169452487615e-07 1.043770053074114e-05 1.721940954657478e-06 3.705487909321758e-05 0.000000000000000e+00 3.509314842954125e-05 5.212018908275103e-05 3.270618190319470e-01 7.178317640835358e+01 1.112098072333430e-07 9.803676889551916e-06 1.647642549221752e-06 3.530077604587722e-05 0.000000000000000e+00 3.408667673063209e-05 5.006880759640437e-05 3.397062555060204e-01 7.455836373131645e+01 1.131925898403183e-07 9.562039080983693e-06 1.584313342539445e-06 3.380651410489725e-05 0.000000000000000e+00 3.329363626413628e-05 4.842831882617060e-05 3.525410990346119e-01 7.737534138989331e+01 1.147781763641188e-07 9.552519757480022e-06 1.578009728466057e-06 3.250082286927722e-05 0.000000000000000e+00 3.262233676141547e-05 4.705607575441541e-05 3.655626484699042e-01 8.023329706014039e+01 1.160429004496322e-07 9.589794343677412e-06 1.510384428042150e-06 3.133243911726142e-05 0.000000000000000e+00 3.210780728290108e-05 4.590089228089203e-05 3.787671488242206e-01 8.313140660139955e+01 1.171764565721403e-07 9.949739007674621e-06 1.398487464468158e-06 3.067980515845356e-05 0.000000000000000e+00 3.167109898983347e-05 4.522472509165308e-05 3.921507923528420e-01 8.606883429395363e+01 1.189503606146987e-07 9.874922173136014e-06 1.319287061492131e-06 2.813852560812052e-05 0.000000000000000e+00 3.133593957184053e-05 4.327801390675524e-05 4.057097196520344e-01 8.904473308002042e+01 1.219401454013098e-07 9.862929785192326e-06 1.342239719140965e-06 2.736056847898384e-05 0.000000000000000e+00 3.122794066107488e-05 4.269518528165807e-05 4.194400207719746e-01 9.205824480801644e+01 1.257966440724535e-07 9.342735403471978e-06 1.392219202616575e-06 2.836033153650661e-05 0.000000000000000e+00 3.100962567634750e-05 4.307140691190439e-05 4.333377363442519e-01 9.510850048001971e+01 1.426922960815643e-07 9.137278518747385e-06 1.258458702785347e-06 2.809744360707962e-05 0.000000000000000e+00 3.082925739581679e-05 4.272005836791054e-05 4.473988587236192e-01 9.819462050236014e+01 1.482756384238417e-07 9.098359278421556e-06 1.208572122678570e-06 2.795156388750584e-05 0.000000000000000e+00 3.091734427001795e-05 4.267827168792145e-05 4.616193331436672e-01 1.013157149392656e+02 1.533258472370153e-07 9.791200793484473e-06 1.168015732107152e-06 2.745107340673117e-05 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