% Filename : LM_Couette_R0500_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_R0500_020PI_RSTE_ww_prof.dat % % Total number of data points : 128 % % % % % 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 = 256 % Grid (spanwise) nz = 1536 % Streamwise domain size Lx = 20pi % Spanwise domain size Lz = 5pi % B-Spline order n = 7 % Kinematic Viscosity nu = 1.00000e-04 % channel half width delta = 1.000 % Velocity at wall U_mean = (+/-) 1.000 % Friction vel u_tau = 5.02635e-02 % Re_tau Re_tau = 502.635 % % % 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 1.440971536797949e-12 1.859693332724825e-03 2.595137248167251e-23 0.000000000000000e+00 1.859706159065630e-03 2.630012602602468e-03 1.137017775942883e-05 5.715048944741995e-03 2.197402087893800e-17 8.480256599562364e-13 1.852023611839495e-03 2.769849160309271e-06 0.000000000000000e+00 1.854582904425478e-03 2.620968691202286e-03 5.684907886405188e-05 2.857433498804638e-02 2.751226678682348e-15 7.092790011578327e-11 1.821560876790357e-03 1.373437954995672e-05 0.000000000000000e+00 1.834301383765578e-03 2.585137177698544e-03 1.591698193881275e-04 8.000431722138596e-02 6.064088616208842e-14 1.599380467063053e-09 1.754470098331353e-03 3.774492615805849e-05 0.000000000000000e+00 1.789685042506527e-03 2.506504050817323e-03 3.410564671805227e-04 1.714269067817452e-01 6.013252966170952e-13 1.660943146508129e-08 1.641026808512285e-03 7.825829067499134e-05 0.000000000000000e+00 1.714181997482065e-03 2.374344807959211e-03 6.252204245906778e-04 3.142576486831978e-01 3.751243780334064e-12 1.081825778168463e-07 1.478446106962848e-03 1.363548094223387e-04 0.000000000000000e+00 1.605735865509000e-03 2.186957522845748e-03 1.034356813211845e-03 5.199039046624370e-01 1.728985392307428e-11 5.079826941850156e-07 1.272060863994562e-03 2.099857786685728e-04 0.000000000000000e+00 1.467477061376772e-03 1.953387327864872e-03 1.591140861214257e-03 7.997630373260944e-01 6.436597466209481e-11 1.834167629398019e-06 1.035536536996185e-03 2.939542087550956e-04 0.000000000000000e+00 1.307430506490418e-03 1.693553332426108e-03 2.306854116087109e-03 1.159505546945788e+00 2.007710160185907e-10 5.203923795302200e-06 7.756629203523914e-04 3.798331270892648e-04 0.000000000000000e+00 1.140130753863029e-03 1.430332614174479e-03 3.181382648813180e-03 1.599074168813487e+00 5.350828301732209e-10 1.169073286977892e-05 5.596428701741401e-04 4.596828742317851e-04 0.000000000000000e+00 9.826253359807135e-04 1.220736544527636e-03 4.214587249764312e-03 2.118398931302069e+00 1.241224777113099e-09 2.221437412991992e-05 3.928292714271082e-04 5.296077338472196e-04 0.000000000000000e+00 8.252829902064770e-04 1.056591065921158e-03 5.406303450860905e-03 2.717397167003456e+00 2.245573751595313e-09 3.634625263272803e-05 2.175764122130489e-04 5.894268177571100e-04 0.000000000000000e+00 7.297048771562169e-04 9.636149264482313e-04 6.756341551752310e-03 3.395973525887795e+00 4.087356318480984e-09 5.154020557161744e-05 1.248819308594223e-04 6.410039711846552e-04 0.000000000000000e+00 6.566555602655911e-04 9.275421852209550e-04 8.264486650013891e-03 4.154019990481559e+00 6.635554073017646e-09 6.869808181580386e-05 1.017275616051967e-04 7.128427444679841e-04 0.000000000000000e+00 6.255844393124411e-04 9.563307964976604e-04 9.930498675355670e-03 4.991415893062004e+00 9.966527052259014e-09 8.595180277583427e-05 1.067285500175758e-04 7.178425340903953e-04 0.000000000000000e+00 6.691521741290763e-04 9.908790197494302e-04 1.175411242783730e-02 5.908027934865358e+00 1.312520886117143e-08 9.887886570531718e-05 1.123993108027097e-04 7.514392267196728e-04 0.000000000000000e+00 6.771211533238711e-04 1.022528534103609e-03 1.373503762008343e-02 6.903710207305730e+00 1.555929363298932e-08 1.071567631107102e-04 1.190961881955158e-04 7.755212862273919e-04 0.000000000000000e+00 6.866134988451675e-04 1.048111557208177e-03 1.587295892349216e-02 7.978304215201105e+00 1.659260311841719e-08 1.101285774272388e-04 1.273377332349669e-04 7.871641406886838e-04 0.000000000000000e+00 6.926234114238775e-04 1.061931154352995e-03 1.816753601842991e-02 9.131638902003035e+00 1.583625903713283e-08 1.135591001198233e-04 1.393942301156291e-04 7.844318073552870e-04 0.000000000000000e+00 6.917019954231527e-04 1.061183929261744e-03 2.061840364840439e-02 1.036353067702587e+01 1.337361737291709e-08 1.077944047062963e-04 1.401871908950346e-04 7.675112052438749e-04 0.000000000000000e+00 6.829635603864699e-04 1.042489691721960e-03 2.322517167820681e-02 1.167378344467107e+01 9.675527366925873e-09 9.824267384884771e-05 1.302561695907972e-04 6.977244174667360e-04 0.000000000000000e+00 6.688833367589627e-04 9.802257768994618e-04 2.598742515601504e-02 1.306218863564241e+01 7.071160896768602e-09 8.703762103367900e-05 1.155709314947118e-04 6.827663438860183e-04 0.000000000000000e+00 6.520217696458045e-04 9.551096566192210e-04 2.890472437944613e-02 1.452852524014629e+01 7.895864429249831e-09 7.513322681946516e-05 1.069292060750276e-04 6.495463835895183e-04 0.000000000000000e+00 6.322222836796860e-04 9.158025864572913e-04 3.197660496554977e-02 1.607255984307293e+01 1.147666506520910e-08 6.438964225899665e-05 9.182942812240734e-05 6.151033065154974e-04 0.000000000000000e+00 5.835381577487710e-04 8.552470574438542e-04 3.520257792472925e-02 1.769404666115159e+01 1.635118101529065e-08 5.103996981965949e-05 7.742909895597934e-05 5.986830478772698e-04 0.000000000000000e+00 5.718149470569447e-04 8.330630646265873e-04 3.858212973858088e-02 1.939272758207537e+01 2.093353965628020e-08 3.840059265547354e-05 6.016803258675760e-05 5.693859367933560e-04 0.000000000000000e+00 5.518871816130953e-04 7.961624233451106e-04 4.211472244163650e-02 2.116833220558790e+01 2.482132595957780e-08 2.458995917311605e-05 4.784244582508341e-05 5.491366943971793e-04 0.000000000000000e+00 5.303170268300538e-04 7.652978664612157e-04 4.579979370699805e-02 2.302057788652627e+01 2.794828584844209e-08 1.893467779734610e-05 3.756829246656468e-05 5.269572665141697e-04 0.000000000000000e+00 5.009994219107543e-04 7.283229234963328e-04 4.963675693585101e-02 2.494916977981357e+01 3.015975305590808e-08 1.731949878374965e-05 2.911863461984507e-05 5.067902279149833e-04 0.000000000000000e+00 4.633945336092033e-04 6.875454092049971e-04 5.362500135083959e-02 2.695380088739254e+01 3.131703438075440e-08 1.813234649272498e-05 2.361461006621277e-05 4.878360357156893e-04 0.000000000000000e+00 4.543890473213437e-04 6.673378730800956e-04 5.776389209329269e-02 2.903415210709478e+01 3.160294891983469e-08 1.931223370652827e-05 1.982306883251583e-05 4.694717511626305e-04 0.000000000000000e+00 4.247613300311674e-04 6.337127346495207e-04 6.205277032428169e-02 3.118989228343586e+01 3.138591026322442e-08 2.079678198474301e-05 1.660022969938174e-05 4.510991159642577e-04 0.000000000000000e+00 4.060116994183125e-04 6.074899071098625e-04 6.649095332949628e-02 3.342067826032965e+01 3.080558011482740e-08 2.386129472861610e-05 1.370546044490463e-05 4.323235742324867e-04 0.000000000000000e+00 3.871326624335506e-04 5.809755357509972e-04 7.107773462792077e-02 3.572615493571278e+01 3.177794064342330e-08 2.549447351690274e-05 1.069362567386441e-05 4.136313164025233e-04 0.000000000000000e+00 3.726735190488418e-04 5.574412440149420e-04 7.581238408429336e-02 3.810595531807063e+01 3.019132673749818e-08 2.666737476822518e-05 9.382749500876489e-06 3.951146945385338e-04 0.000000000000000e+00 3.551777552895827e-04 5.320395149512552e-04 8.069414802533059e-02 4.055970058485579e+01 2.844694390266019e-08 2.747706295059335e-05 6.895328757985390e-06 3.763703400844890e-04 0.000000000000000e+00 3.486533260792445e-04 5.138251745854169e-04 8.572224935969941e-02 4.308700014279021e+01 2.677758340522309e-08 2.747362487966942e-05 5.540676170597145e-06 3.657082669981524e-04 0.000000000000000e+00 3.310015945321344e-04 4.940547459615206e-04 9.089588770171653e-02 4.568745169004087e+01 2.542635538577488e-08 2.792907102922766e-05 5.064348475306033e-06 3.483939065603262e-04 0.000000000000000e+00 3.042355793221919e-04 4.634040171755199e-04 9.621423949875518e-02 4.836064128025878e+01 2.453690856283006e-08 2.851462999804456e-05 4.338884552677827e-06 3.346102299921938e-04 0.000000000000000e+00 2.886738497232997e-04 4.428639838309791e-04 1.016764581623409e-01 5.110614338847243e+01 2.407180234893245e-08 2.666917899717744e-05 3.588191785776580e-06 3.101639065211539e-04 0.000000000000000e+00 2.737671936513854e-04 4.145771894790461e-04 1.072816742029136e-01 5.392352097882373e+01 2.244194844232055e-08 2.455017204123027e-05 3.028153232641795e-06 2.928687002789321e-04 0.000000000000000e+00 2.576509199269371e-04 3.908554122756436e-04 1.130289953682343e-01 5.681232557413637e+01 2.245578038065633e-08 2.242130051615048e-05 2.424101107765969e-06 2.808083132132753e-04 0.000000000000000e+00 2.448064870439583e-04 3.732185905816682e-04 1.189175067854171e-01 5.977209732730572e+01 2.076231830631783e-08 2.091945860207788e-05 2.112527153453472e-06 2.635803750477334e-04 0.000000000000000e+00 2.327352182527550e-04 3.522532936335916e-04 1.249462711065602e-01 6.280236509449828e+01 2.108484149909077e-08 2.064185859265905e-05 1.893868686933225e-06 2.477456050153520e-04 0.000000000000000e+00 2.212548609749590e-04 3.328081606854081e-04 1.311143286579557e-01 6.590264651014974e+01 2.477225743693966e-08 1.895641923992218e-05 1.718198355181134e-06 2.355863247757590e-04 0.000000000000000e+00 2.106413385960582e-04 3.165959390082899e-04 1.374206975928525e-01 6.907244806374885e+01 2.445321587061831e-08 1.836183647729684e-05 1.641457458389463e-06 2.226769747965685e-04 0.000000000000000e+00 2.006393759428195e-04 3.003015922412702e-04 1.438643740477492e-01 7.231126517839581e+01 2.096906905528140e-08 1.751609189255037e-05 1.523011387818421e-06 2.108352788528309e-04 0.000000000000000e+00 1.931635956732411e-04 2.864835474873625e-04 1.504443323021919e-01 7.561858229112212e+01 2.062997148786537e-08 1.661663229801356e-05 1.446821896463313e-06 1.995902228226171e-04 0.000000000000000e+00 1.815759364052346e-04 2.703410511112638e-04 1.571595249420504e-01 7.899387293495904e+01 2.063391265768232e-08 1.455829500427442e-05 1.298799228707075e-06 1.933088426534785e-04 0.000000000000000e+00 1.730332222292191e-04 2.598507954609337e-04 1.640088830262488e-01 8.243659982274205e+01 2.160395210175188e-08 1.395844670851491e-05 1.232768008092189e-06 1.829994388520165e-04 0.000000000000000e+00 1.648871351217300e-04 2.467243813793269e-04 1.709913162569218e-01 8.594621493263752e+01 2.229593122275308e-08 1.316734708942300e-05 1.223612333040462e-06 1.734709221080422e-04 0.000000000000000e+00 1.567297384899326e-04 2.341607321857372e-04 1.781057131529707e-01 8.952215959537804e+01 2.227554741502193e-08 1.417348241534109e-05 1.184077053490142e-06 1.646236049355554e-04 0.000000000000000e+00 1.498390753612021e-04 2.230582209772247e-04 1.853509412269928e-01 9.316386458319300e+01 2.168066858761259e-08 1.458588999695653e-05 1.188830050670313e-06 1.562197165381890e-04 0.000000000000000e+00 1.433107570412531e-04 2.125011409215331e-04 1.927258471655524e-01 9.687075020041961e+01 2.064717043180476e-08 1.500445880919412e-05 1.219795232063855e-06 1.483255350293850e-04 0.000000000000000e+00 1.371465965116725e-04 2.025741231928684e-04 2.002292570127688e-01 1.006422263757802e+02 1.950930761097626e-08 1.386854688146613e-05 1.216120807758933e-06 1.364406501340510e-04 0.000000000000000e+00 1.313000922045292e-04 1.898672724430305e-04 2.078599763571893e-01 1.044776927563114e+02 1.896074240815750e-08 1.550820512900668e-05 1.153446758056647e-06 1.304154426404929e-04 0.000000000000000e+00 1.257846886262175e-04 1.818565665494842e-04 2.156167905219186e-01 1.083765388029297e+02 1.929375736503619e-08 1.550731928393628e-05 1.141243316485424e-06 1.247200964997789e-04 0.000000000000000e+00 1.207082457826711e-04 1.742623391062290e-04 2.234984647579742e-01 1.123381438876185e+02 2.001249432619877e-08 1.526174035932709e-05 1.026866654788439e-06 1.193375748364684e-04 0.000000000000000e+00 1.158989736193502e-04 1.670568897959335e-04 2.315037444408364e-01 1.163618773922216e+02 1.948355997675862e-08 1.478622343032390e-05 1.039203606737168e-06 1.138014438909515e-04 0.000000000000000e+00 1.112720200938765e-04 1.598497538769274e-04 2.396313552701632e-01 1.204470988088260e+02 1.997076224890622e-08 1.415410323645819e-05 1.025223000555777e-06 1.091048326413995e-04 0.000000000000000e+00 1.069835783315127e-04 1.534625057067141e-04 2.478800034726363e-01 1.245931578417201e+02 2.020731971181733e-08 1.352221035920047e-05 1.004711334071256e-06 1.052688930143037e-04 0.000000000000000e+00 1.029113193769221e-04 1.478382207636267e-04 2.562483760079066e-01 1.287993945109089e+02 2.047011527223847e-08 1.056290394093915e-05 9.739455798318265e-07 1.010791232067596e-04 0.000000000000000e+00 9.912143259387194e-05 1.419667970914058e-04 2.647351407776085e-01 1.330651392571718e+02 2.028968311079376e-08 1.013952143810267e-05 9.498851528118213e-07 9.671994017298140e-05 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