% Filename : LM_Couette_R0093_020PI_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_020PI_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 = 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: (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 1.775374826104929e-12 2.691964562194940e-03 0.000000000000000e+00 2.603150685119882e-14 2.691961522666887e-03 3.807010644013544e-03 4.814781378392752e-05 4.474289989264460e-03 4.119397936341291e-13 4.147025254243625e-09 2.691792386771000e-03 0.000000000000000e+00 6.430425311930468e-07 2.691732039039788e-03 3.806726773572044e-03 2.407066139520353e-04 2.236843396438600e-02 5.159935521414245e-11 1.037764392099289e-07 2.691298982641827e-03 0.000000000000000e+00 3.189618160762199e-06 2.690828726794256e-03 3.805742591712900e-03 6.738422300787139e-04 6.261895000913356e-02 1.138243404450768e-09 8.148959929146890e-07 2.691228908339098e-03 0.000000000000000e+00 8.772391899710165e-06 2.688898231108569e-03 3.804351931989359e-03 1.443558326269967e-03 1.341472864611176e-01 1.129727381329342e-08 3.751404646655821e-06 2.694149514831764e-03 0.000000000000000e+00 1.820908923149935e-05 2.685812286563571e-03 3.804331067754810e-03 2.645631688031891e-03 2.458538082365311e-01 7.053527541061855e-08 1.264692843750401e-05 2.704142379692730e-03 0.000000000000000e+00 3.176274284705019e-05 2.681769796224713e-03 3.808827308562525e-03 4.375547662071155e-03 4.066117973665867e-01 3.252212723185109e-07 3.468930576150624e-05 2.724218017326459e-03 0.000000000000000e+00 4.891680534578124e-05 2.677009990824108e-03 3.820391618249127e-03 6.728435792545118e-03 6.252614717896664e-01 1.210161918272477e-06 8.189535276273527e-05 2.754796676074680e-03 0.000000000000000e+00 6.826050379114849e-05 2.670858096331214e-03 3.839501425920448e-03 9.750857883363828e-03 9.061297364417193e-01 3.773977237973418e-06 1.699239537984380e-04 2.795749996546013e-03 0.000000000000000e+00 8.732836719612468e-05 2.660651888104283e-03 3.865906505134211e-03 1.344077661230325e-02 1.249027266622089e+00 1.009283320912494e-05 3.129465709022389e-04 2.847675017446719e-03 0.000000000000000e+00 1.034348647515421e-04 2.642092293474472e-03 3.901125013327762e-03 1.779570471808556e-02 1.653722925600746e+00 2.369157352779838e-05 5.161877752836149e-04 2.906581549890466e-03 0.000000000000000e+00 1.185466369360804e-04 2.613155447454977e-03 3.947647811044263e-03 2.281270667696611e-02 2.119943920420510e+00 4.962807785221202e-05 7.659118374750160e-04 2.957350757924482e-03 0.000000000000000e+00 1.247680308396171e-04 2.579233495387854e-03 4.004216632339249e-03 2.848840068147995e-02 2.647375985778413e+00 9.372969100433521e-05 1.024590184847169e-03 2.975704235614309e-03 0.000000000000000e+00 1.248982110217491e-04 2.542116506272848e-03 4.052774856165646e-03 3.481896092001469e-02 3.235663595862318e+00 1.605940870303880e-04 1.239541775993983e-03 2.933801336252534e-03 0.000000000000000e+00 1.194316067662574e-04 2.480745906163241e-03 4.046348699905753e-03 4.180012015567314e-02 3.884410204000000e+00 2.507477811120453e-04 1.361021050274958e-03 2.792367588737106e-03 0.000000000000000e+00 1.094052846577225e-04 2.388950172913074e-03 3.932873821382391e-03 4.942717260268714e-02 4.593178509959126e+00 3.584452190361085e-04 1.356818984961435e-03 2.524623226184830e-03 0.000000000000000e+00 9.619611689465682e-05 2.313756701764755e-03 3.707026918027571e-03 5.769497709844340e-02 5.361490754717924e+00 4.717895303181372e-04 1.224420670163514e-03 2.173724794404338e-03 0.000000000000000e+00 8.378668364474067e-05 2.305908736571263e-03 3.436338656147974e-03 6.659796056898437e-02 6.188829042507967e+00 5.756463147527750e-04 1.003019273002825e-03 1.819155978777405e-03 0.000000000000000e+00 6.807872895155447e-05 2.351321076102672e-03 3.196771217455619e-03 7.613012178564638e-02 7.074635689911818e+00 6.562749354577171e-04 7.637428470631267e-04 1.483659950603992e-03 0.000000000000000e+00 5.537745499681119e-05 2.432708397216340e-03 3.029617438533067e-03 8.628503541030430e-02 8.018313601780362e+00 7.054946936325914e-04 5.738974513775128e-04 1.131840373217663e-03 0.000000000000000e+00 4.462256835574918e-05 2.245264090645206e-03 2.682461243327296e-03 9.705585632649549e-02 9.019226673716386e+00 7.222047133000241e-04 4.642831715921501e-04 7.825713525815901e-04 0.000000000000000e+00 3.798846656673189e-05 1.978432208718304e-03 2.304586706992497e-03 1.084353242535030e-01 1.007670022085306e+01 7.109729537877280e-04 4.214377519560298e-04 6.354319661557588e-04 0.000000000000000e+00 3.883522620938326e-05 1.810026473319314e-03 2.100507792305764e-03 1.204157686402891e-01 1.119002143263839e+01 6.792450408313663e-04 5.001012084538273e-04 4.419190333646895e-04 0.000000000000000e+00 4.259155879558106e-05 1.644713523837000e-03 1.913338126498060e-03 1.329891138359783e-01 1.235843985331896e+01 6.348684705781394e-04 4.395810669938693e-04 3.823922690149405e-04 0.000000000000000e+00 4.712426135087941e-05 1.346749138364086e-03 1.613995067845397e-03 1.461468845334070e-01 1.358116788779919e+01 5.846883298597452e-04 4.273387143597505e-04 3.292319422524844e-04 0.000000000000000e+00 5.102063076455626e-05 1.094659649035025e-03 1.371138902127322e-03 1.598802114820680e-01 1.485738133253512e+01 5.339107376828737e-04 4.561893194055724e-04 2.732434276813981e-04 0.000000000000000e+00 5.372545254511434e-05 8.290801314401378e-04 1.141618631940483e-03 1.741798374666018e-01 1.618621993110474e+01 4.772343882472084e-04 4.154949056128287e-04 2.265675540941562e-04 0.000000000000000e+00 5.518248483863310e-05 6.017423369842315e-04 9.281992338711493e-04 1.890361235468010e-01 1.756678795408055e+01 4.323494102957166e-04 3.665833255987752e-04 1.813301579879788e-04 0.000000000000000e+00 5.543594509270101e-05 4.588374424294535e-04 7.823488431241097e-04 2.044390555549258e-01 1.899815480281335e+01 3.915123190986725e-04 3.257270796758613e-04 1.455347779697887e-04 0.000000000000000e+00 5.477249877084308e-05 3.306023781781924e-04 6.610127631576821e-04 2.203782508459474e-01 2.047935563672029e+01 3.549223571148167e-04 2.788187185678955e-04 1.212589938258870e-04 0.000000000000000e+00 5.380590239820593e-05 2.725188894587348e-04 5.822077124936505e-04 2.368429652961714e-01 2.200939202365436e+01 3.226418132046116e-04 2.064954791944112e-04 1.025250812010728e-04 0.000000000000000e+00 5.284966461620815e-05 2.331181757223639e-04 5.065891563018137e-04 2.538221005455230e-01 2.358723261291702e+01 2.946109431090824e-04 1.890297414714139e-04 8.720499434095150e-05 0.000000000000000e+00 5.190448168909082e-05 2.035012639103294e-04 4.635621018777002e-04 2.713042114786114e-01 2.521181383046006e+01 2.706141220831754e-04 1.764199774605212e-04 7.372721667905155e-05 0.000000000000000e+00 5.109651180783936e-05 1.826356571688257e-04 4.296013630289859e-04 2.892775139395317e-01 2.688204059580828e+01 2.503050473792386e-04 1.654185800164387e-04 6.313984240767368e-05 0.000000000000000e+00 5.050202929981410e-05 1.711514761215803e-04 4.033935030890371e-04 3.077298926752047e-01 2.859678706021989e+01 2.333166787062506e-04 1.583121008686310e-04 6.469719158403985e-05 0.000000000000000e+00 4.996921425240426e-05 1.570580553711778e-04 3.818415899948817e-04 3.266489095018970e-01 3.035489736558649e+01 2.191995625989291e-04 1.563153959592330e-04 5.221535011501952e-05 0.000000000000000e+00 4.916467119611434e-05 1.472974748659753e-04 3.637549950252906e-04 3.460218116894204e-01 3.215518642356176e+01 2.114934462308343e-04 1.525973104436614e-04 4.673921042811376e-05 0.000000000000000e+00 4.631861951997125e-05 1.411344064725914e-04 3.510401374044401e-04 3.658355405573572e-01 3.399644071439321e+01 1.998992551505981e-04 1.483917418850641e-04 4.192061026123361e-05 0.000000000000000e+00 4.533890782089520e-05 1.361315555238794e-04 3.365170356782327e-04 3.860767402775169e-01 3.587741910491870e+01 1.903159333847909e-04 1.433273884887469e-04 3.609389848590876e-05 0.000000000000000e+00 4.505786400530643e-05 1.304633150051395e-04 3.225766575161171e-04 4.067317668766912e-01 3.779685368517636e+01 1.823216884284855e-04 1.372739769273737e-04 3.138528851005393e-05 0.000000000000000e+00 4.550284821535886e-05 1.259632605574436e-04 3.103022261409699e-04 4.277866974336383e-01 3.975345062306378e+01 1.753339139586018e-04 1.317498657970732e-04 2.953647231607313e-05 0.000000000000000e+00 4.787978367276669e-05 1.246862994958617e-04 3.007118379542023e-04 4.492273394640984e-01 4.174589103647076e+01 1.689494078375280e-04 1.275386771538974e-04 2.693616423755984e-05 0.000000000000000e+00 4.830258095797182e-05 1.220908563476832e-04 2.923238899491149e-04 4.710392404875134e-01 4.377283188229730e+01 1.631741419527143e-04 1.236599383106614e-04 2.351662413042752e-05 0.000000000000000e+00 4.785940050445275e-05 1.177570010424405e-04 2.853909332286124e-04 4.932076977690006e-01 4.583290686175786e+01 1.583291252120969e-04 1.196162280860505e-04 2.267270400132052e-05 0.000000000000000e+00 4.662440386631719e-05 1.164094967001228e-04 2.799550447902066e-04 5.157177682300171e-01 4.792472734136154e+01 1.547719268683496e-04 1.155138736766123e-04 2.123328149722948e-05 0.000000000000000e+00 4.503264543838893e-05 1.174351624078788e-04 2.767205239194392e-04 5.385542785210315e-01 5.004688328894745e+01 1.523523715746629e-04 1.120546718042496e-04 1.985705452857533e-05 0.000000000000000e+00 4.333335428290470e-05 1.177513409370742e-04 2.729822175865763e-04 5.617018352494142e-01 5.219794422414419e+01 1.503036373135443e-04 1.103749453369963e-04 1.984488349270273e-05 0.000000000000000e+00 4.163874946585327e-05 1.152414872686483e-04 2.687854160969759e-04 5.851448353556523e-01 5.437646018261292e+01 1.480068568072451e-04 1.323881699521663e-04 1.926149699538858e-05 0.000000000000000e+00 3.988555702934477e-05 1.190842271661977e-04 2.794679076570198e-04 6.088674766308949e-01 5.658096269342394e+01 1.453427326080194e-04 1.373801787908537e-04 1.820696229246032e-05 0.000000000000000e+00 3.806520157531563e-05 1.207877905353394e-04 2.825738676750329e-04 6.328537683687377e-01 5.880996576890798e+01 1.421131101252739e-04 1.430121632654741e-04 1.739636859789490e-05 0.000000000000000e+00 3.670098836312997e-05 1.225458313027026e-04 2.849248012463072e-04 6.570875421440694e-01 6.106196690631499e+01 1.383181256574447e-04 1.630669521711090e-04 1.670728618957449e-05 0.000000000000000e+00 3.623366824706154e-05 1.248584633382070e-04 2.973229151050403e-04 6.815524627117115e-01 6.333544810060531e+01 1.344377400632377e-04 1.717562223091423e-04 1.550181504940954e-05 0.000000000000000e+00 3.644729195089120e-05 1.271639243563644e-04 3.033821549335537e-04 7.062320390175080e-01 6.562887686769037e+01 1.269253516211387e-04 1.671951194756025e-04 2.172811656713698e-05 0.000000000000000e+00 3.674906801727315e-05 1.298443453016702e-04 3.009340059916903e-04 7.311096353144395e-01 6.794070727743329e+01 1.223103829056676e-04 1.891353008348700e-04 2.140706772630004e-05 0.000000000000000e+00 3.674386410230516e-05 1.345225820902550e-04 3.141452250288430e-04 7.561684823762714e-01 7.026938099571314e+01 1.248022503545193e-04 1.774138608254171e-04 2.072926627321586e-05 0.000000000000000e+00 3.656875554825439e-05 1.355433541194486e-04 3.111448907517460e-04 7.813916888011762e-01 7.261332833485017e+01 1.241831881567634e-04 1.791123486282668e-04 1.945952181423424e-05 0.000000000000000e+00 3.664704660758822e-05 1.328771846922634e-04 3.097908073843511e-04 8.067622523977100e-01 7.497096931168434e+01 1.197197128537177e-04 1.579162953797336e-04 1.878980960689860e-05 0.000000000000000e+00 3.649937830009976e-05 1.336654616035034e-04 2.978294800144494e-04 8.322630716454701e-01 7.734071471259355e+01 1.156412430593232e-04 1.506153331120685e-04 1.794298908609523e-05 0.000000000000000e+00 3.679218231149460e-05 1.320991893065073e-04 2.926016134349222e-04 8.578769572227056e-01 7.972096716473389e+01 1.103759947704979e-04 1.724590322648781e-04 1.520054550622838e-05 0.000000000000000e+00 3.794079143094052e-05 1.298234660007619e-04 3.009160767194680e-04 8.835866435931137e-01 8.211012221277981e+01 1.118528162306680e-04 1.731201109653306e-04 1.656754525366266e-05 0.000000000000000e+00 3.966250854110013e-05 1.288790489767643e-04 3.009888657057445e-04 9.093748006440093e-01 8.450656940043839e+01 1.190031019273017e-04 2.171822125156415e-04 1.560545369197563e-05 0.000000000000000e+00 4.245081129795097e-05 1.266089086694029e-04 3.292222849573056e-04 9.352240453680229e-01 8.690869335600851e+01 1.149109158624386e-04 2.194531729642370e-04 1.754874537207918e-05 0.000000000000000e+00 4.905428718319390e-05 1.251741185028388e-04 3.360746379326204e-04 9.611169535804548e-01 8.931487488125360e+01 1.171035067788502e-04 1.831521490964759e-04 1.989987278220017e-05 0.000000000000000e+00 5.322079992719064e-05 1.226422674591460e-04 3.070519742814154e-04 9.870360716643837e-01 9.172349204285356e+01 1.162167784012706e-04 1.569420436735014e-04 2.021501022064123e-05 0.000000000000000e+00 5.562167381694947e-05 1.231714160640896e-04 2.931168969853044e-04