% Filename : LM_Couette_R0093_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_R0093_100PI_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 = 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: (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 1.139722197530949e-13 3.639418884989192e-04 1.108108478041747e-22 0.000000000000000e+00 3.639328546766362e-04 5.146851667934926e-04 4.814781378392752e-05 4.473535515368329e-03 2.882098577631214e-17 9.077991340805416e-14 3.626615895115315e-04 4.370792035289409e-07 0.000000000000000e+00 3.630846314614825e-04 5.131803475862859e-04 2.407066139520353e-04 2.236466210347310e-02 3.607397500033389e-15 8.108710338164821e-12 3.575854494072071e-04 2.172195078146606e-06 0.000000000000000e+00 3.597061591451216e-04 5.072086286590040e-04 6.738422300787139e-04 6.260839093421923e-02 7.944316772709579e-14 1.789378573931153e-10 3.463104323189124e-04 6.000534839020189e-06 0.000000000000000e+00 3.522105147819196e-04 4.939829639514334e-04 1.443558326269967e-03 1.341246659724782e-01 7.860888701564749e-13 1.782860607994131e-09 3.268703192307973e-04 1.255542202561066e-05 0.000000000000000e+00 3.392922313623359e-04 4.712972124703222e-04 2.645631688031891e-03 2.458123513168804e-01 4.883093057717611e-12 1.119980010089907e-08 2.982478993530593e-04 2.218481744778316e-05 0.000000000000000e+00 3.202295927246937e-04 4.381677393142526e-04 4.375547662071155e-03 4.065432327479079e-01 2.233623990621036e-11 5.189277583019106e-08 2.606340459914820e-04 3.483388640066226e-05 0.000000000000000e+00 2.950881793906983e-04 3.952474438635142e-04 6.728435792545118e-03 6.251560375286207e-01 8.216703544975966e-11 1.917802776219757e-07 2.153358398244672e-04 4.998072037985062e-05 0.000000000000000e+00 2.646972419139669e-04 3.448655723309303e-04 9.750857883363828e-03 9.059769409737694e-01 2.524957910023232e-10 5.791490450927561e-07 1.650247240087524e-04 6.643666102795732e-05 0.000000000000000e+00 2.310458702936906e-04 2.915982151114058e-04 1.344077661230325e-02 1.248816650307437e+00 6.640527400495768e-10 1.450284446801650e-06 1.122903063730056e-04 8.276209742993155e-05 0.000000000000000e+00 1.967400566818601e-04 2.411792505688333e-04 1.779570471808556e-02 1.653444067774858e+00 1.533012902234464e-09 2.918496231108134e-06 6.476739260214784e-05 9.786324448358784e-05 0.000000000000000e+00 1.641277149702853e-04 2.017881418946702e-04 2.281270667696611e-02 2.119586446418365e+00 3.082531809404513e-09 5.409386414828692e-06 2.747181336083664e-05 1.110990782008331e-04 0.000000000000000e+00 1.286273544859732e-04 1.722555180519760e-04 2.848840068147995e-02 2.646929573927749e+00 5.849617434241214e-09 9.463002247423314e-06 2.037586358641758e-05 1.222442330991968e-04 0.000000000000000e+00 1.070660698175180e-04 1.640473105382270e-04 3.481896092001469e-02 3.235117984441154e+00 1.017157442394317e-08 1.416125385529409e-05 2.853584399968369e-05 1.313357906636115e-04 0.000000000000000e+00 9.324444255797024e-05 1.641902907731510e-04 4.180012015567314e-02 3.883755198153751e+00 1.630525585839868e-08 1.941675191232256e-05 3.681306825601173e-05 1.384896221520772e-04 0.000000000000000e+00 8.645250522687784e-05 1.684803360007817e-04 4.942717260268714e-02 4.592403988572638e+00 2.368621902114876e-08 2.460658147246397e-05 3.753549780129755e-05 1.437962287602053e-04 0.000000000000000e+00 8.544979587424132e-05 1.731860878609941e-04 5.769497709844340e-02 5.360586677237812e+00 3.320736930679721e-08 2.889743678741846e-05 3.377676851350881e-05 1.473348640438081e-04 0.000000000000000e+00 8.655923448283123e-05 1.765672571115283e-04 6.659796056898437e-02 6.187785455710644e+00 4.350166863330492e-08 3.254687968716566e-05 2.642377144235511e-05 1.466904940956459e-04 0.000000000000000e+00 8.994276002746176e-05 1.771025638052316e-04 7.613012178564638e-02 7.073442734612656e+00 5.353475140741620e-08 3.374009526566455e-05 2.376708039086293e-05 1.457049061373499e-04 0.000000000000000e+00 9.374835342300330e-05 1.781065536324527e-04 8.628503541030430e-02 8.016961519479471e+00 6.230697408165394e-08 3.439496543211064e-05 2.154947023142379e-05 1.431507274875024e-04 0.000000000000000e+00 9.672686749482391e-05 1.774700393645432e-04 9.705585632649549e-02 9.017705813176516e+00 6.911453486707439e-08 3.300147187029490e-05 1.972241819828591e-05 1.425194872188146e-04 0.000000000000000e+00 9.814362560157242e-05 1.772626615656788e-04 1.084353242535030e-01 1.007500104460520e+01 7.366657167327895e-08 3.136333422687411e-05 1.837083963247578e-05 1.345550800221984e-04 0.000000000000000e+00 9.765823835871884e-05 1.701862303140330e-04 1.204157686402891e-01 1.118813452341071e+01 7.599502003624482e-08 3.005440655607299e-05 1.740205726514282e-05 1.242156194667304e-04 0.000000000000000e+00 9.592130921455312e-05 1.607374331220876e-04 1.329891138359783e-01 1.235635592038466e+01 7.624710719876115e-08 2.923868078787762e-05 1.654970998323094e-05 1.130903846187760e-04 0.000000000000000e+00 9.151024782391143e-05 1.493062614841795e-04 1.461468845334070e-01 1.357887777323914e+01 7.451693187779968e-08 2.889831617480762e-05 1.585096864109568e-05 1.026825188486754e-04 0.000000000000000e+00 8.982740369709197e-05 1.403532456676446e-04 1.598802114820680e-01 1.485487601741089e+01 7.083283306358406e-08 2.868150021459774e-05 1.557073606597751e-05 9.381430642773688e-05 0.000000000000000e+00 8.822898811174268e-05 1.328554091003670e-04 1.741798374666018e-01 1.618349054153805e+01 6.530238674127990e-08 2.619175621108435e-05 1.585617530065722e-05 8.666570106106102e-05 0.000000000000000e+00 8.621643864396958e-05 1.260224134265105e-04 1.890361235468010e-01 1.756382576723481e+01 5.638451315942904e-08 2.636972478416612e-05 1.606324888389381e-05 8.105131438349040e-05 0.000000000000000e+00 8.477632891229993e-05 1.212836964981269e-04 2.044390555549258e-01 1.899495125277351e+01 4.869855760254332e-08 2.656952138481770e-05 1.532871335351556e-05 7.664993748910091e-05 0.000000000000000e+00 8.431379156309299e-05 1.180039815263443e-04 2.203782508459474e-01 2.047590232026682e+01 3.925448127381173e-08 2.691609849860507e-05 1.435419184066995e-05 7.314405860938583e-05 0.000000000000000e+00 8.157553477652890e-05 1.137327653169025e-04 2.368429652961714e-01 2.200568070592766e+01 3.131132658177628e-08 2.731771010765692e-05 1.326257162281529e-05 7.028037410701533e-05 0.000000000000000e+00 7.871014149238641e-05 1.098033306887773e-04 2.538221005455230e-01 2.358325523296822e+01 2.345761840459533e-08 2.777363617947752e-05 1.273444805506029e-05 7.058639507699956e-05 0.000000000000000e+00 7.592216096533363e-05 1.080747670817253e-04 2.713042114786114e-01 2.520756250668470e+01 1.949121841556396e-08 2.813540323765076e-05 1.228808195680606e-05 6.916983069381572e-05 0.000000000000000e+00 7.488723756352322e-05 1.064667181871249e-04 2.892775139395317e-01 2.687750763125906e+01 2.044495947261468e-08 2.823890455064526e-05 1.192335424162188e-05 6.961776944948490e-05 0.000000000000000e+00 7.176160607684575e-05 1.045751617471283e-04 3.077298926752047e-01 2.859196494779491e+01 2.345497994277725e-08 2.857617849741876e-05 1.192584646405683e-05 6.863568503408234e-05 0.000000000000000e+00 6.405512767290865e-05 9.885717466540838e-05 3.266489095018970e-01 3.034977879308962e+01 3.165787094479281e-08 2.933333665595932e-05 1.089562239334936e-05 6.740350521071341e-05 0.000000000000000e+00 6.793468198565189e-05 1.006852211603740e-04 3.460218116894204e-01 3.214976427863149e+01 4.100911041068354e-08 2.994106033632411e-05 9.795958809665207e-06 6.586697961334363e-05 0.000000000000000e+00 6.628313121305771e-05 9.861207873076831e-05 3.658355405573572e-01 3.399070808929695e+01 5.040319531603776e-08 3.024184392807060e-05 9.379009179792124e-06 6.129388697054065e-05 0.000000000000000e+00 6.501466690701802e-05 9.479654514186907e-05 3.860767402775169e-01 3.587136930120902e+01 5.932459705673657e-08 2.914849817155920e-05 8.754409672179519e-06 6.028134279103862e-05 0.000000000000000e+00 6.348891454032371e-05 9.268743556692453e-05 4.067317668766912e-01 3.779048021820623e+01 6.745567505177763e-08 2.898999586451005e-05 8.527339070715173e-06 5.905263079948047e-05 0.000000000000000e+00 6.206598565835566e-05 9.084349014762869e-05 4.277866974336383e-01 3.974674722635767e+01 7.162374016871613e-08 2.861241862102251e-05 7.943045937754165e-06 5.628409205183927e-05 0.000000000000000e+00 6.130354257742775e-05 8.836170527279607e-05 4.492273394640984e-01 4.173885166594866e+01 7.783714776167106e-08 2.687939042285794e-05 7.099567131544237e-06 5.503359299161161e-05 0.000000000000000e+00 6.128226941934243e-05 8.693172288832504e-05 4.710392404875134e-01 4.376545072034889e+01 8.338836923061954e-08 2.600522035452496e-05 6.713958121237263e-06 5.334495168794494e-05 0.000000000000000e+00 6.151430252934325e-05 8.573825843357208e-05 4.932076977690006e-01 4.582517832116393e+01 8.777016775331953e-08 2.653683654207273e-05 6.479444460605679e-06 5.365548077617535e-05 0.000000000000000e+00 6.183794019262205e-05 8.630779838676185e-05 5.157177682300171e-01 4.791664606906022e+01 9.017696078928146e-08 2.633433904490364e-05 5.997196583283288e-06 5.243589350022349e-05 0.000000000000000e+00 6.225228256039460e-05 8.575745753472830e-05 5.385542785210315e-01 5.003844416964252e+01 8.761755726624447e-08 2.556087396732918e-05 5.966740905230581e-06 5.325724588021471e-05 0.000000000000000e+00 6.252840556568478e-05 8.622704734114804e-05 5.617018352494142e-01 5.218914238375312e+01 8.617120030234641e-08 2.484428818453962e-05 5.850979767446069e-06 5.956762477261934e-05 0.000000000000000e+00 6.500027653874826e-05 9.178680687482598e-05 5.851448353556523e-01 5.436729099155238e+01 8.461906623571811e-08 2.466541669738981e-05 5.620640182702441e-06 6.155275681537038e-05 0.000000000000000e+00 6.664912636873005e-05 9.418508084931885e-05 6.088674766308949e-01 5.657142176973044e+01 8.497361624508814e-08 2.509457249338727e-05 5.553084089352038e-06 6.204637287830658e-05 0.000000000000000e+00 6.836207159640621e-05 9.583165840342516e-05 6.328537683687377e-01 5.880004898119160e+01 8.289197353119294e-08 2.480239187432928e-05 5.587177175362704e-06 6.416057054321721e-05 0.000000000000000e+00 7.071051985961718e-05 9.880758317965495e-05 6.570875421440694e-01 6.105167037654428e+01 8.101602963677768e-08 2.414398442763014e-05 5.357486754707669e-06 6.812144901624382e-05 0.000000000000000e+00 7.000039935359396e-05 1.007582698228831e-04 6.815524627117115e-01 6.332476820672129e+01 7.841055121038445e-08 2.382863227297785e-05 5.015388093040988e-06 6.996332101258284e-05 0.000000000000000e+00 7.223390658445968e-05 1.034677124976740e-04 7.062320390175080e-01 6.561781024604807e+01 7.465321731576959e-08 2.450598998803305e-05 5.049810826809711e-06 6.783550652438281e-05 0.000000000000000e+00 7.214633049901741e-05 1.021410723346687e-04 7.311096353144395e-01 6.792925082506910e+01 7.037892601489230e-08 2.254962251814685e-05 5.000701780539800e-06 7.671531516952038e-05 0.000000000000000e+00 7.276723362969994e-05 1.082303437991408e-04 7.561684823762714e-01 7.025753187243640e+01 6.757780413414347e-08 2.162948789333347e-05 4.797459338543236e-06 7.955004071934131e-05 0.000000000000000e+00 7.384455201294705e-05 1.107794284595933e-04 7.813916888011762e-01 7.260108396515768e+01 6.440570875315729e-08 2.036534918129871e-05 4.852948235024634e-06 7.744462466662210e-05 0.000000000000000e+00 7.501563712414429e-05 1.098331389191743e-04 8.067622523977100e-01 7.495832738649642e+01 6.486107375706471e-08 2.101443935936923e-05 5.093161571841475e-06 7.982742085473880e-05 0.000000000000000e+00 7.360982272276710e-05 1.107175428057413e-04 8.322630716454701e-01 7.732767319081047e+01 6.969316098571901e-08 2.241658588501144e-05 4.792223353161291e-06 8.496032508892960e-05 0.000000000000000e+00 7.272049532933978e-05 1.141577893299642e-04 8.578769572227056e-01 7.970752427461179e+01 7.426866191499885e-08 2.490834306902022e-05 4.123774468184875e-06 8.740481319301965e-05 0.000000000000000e+00 7.156430405892345e-05 1.157518361447770e-04 8.835866435931137e-01 8.209627645312491e+01 7.978570448341157e-08 2.670114507313595e-05 4.001692110149017e-06 8.660445558951730e-05 0.000000000000000e+00 7.192265326264594e-05 1.157677452229903e-04 9.093748006440093e-01 8.449231954161895e+01 8.407643636943348e-08 3.132792405936693e-05 3.565898066135892e-06 8.796881432502451e-05 0.000000000000000e+00 6.951471904575772e-05 1.164687510944286e-04 9.352240453680229e-01 8.689403844078367e+01 9.133705298412962e-08 3.197568337733664e-05 4.287642419429895e-06 8.870355605186384e-05 0.000000000000000e+00 7.085308772722863e-05 1.180225293922746e-04 9.611169535804548e-01 8.929981422541864e+01 8.910424056396451e-08 3.409249020020144e-05 5.563132877866477e-06 8.925385408396830e-05 0.000000000000000e+00 6.960639923699608e-05 1.183408448449465e-04 9.870360716643837e-01 9.170802523570104e+01 8.832468945334309e-08 3.588689048975231e-05 6.612521059985465e-06 8.938796469249329e-05 0.000000000000000e+00 6.816779878216425e-05 1.181890822695356e-04