% Filename : LM_Couette_R0500_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_R0500_100PI_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 = 15360 % Grid (wall-normal) ny = 256 % Grid (spanwise) nz = 1536 % Streamwise domain size Lx = 100pi % 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 = 5.01370e-02 % Re_tau Re_tau = 501.370 % % % 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 7.063223617920598e-13 1.553570353114662e-03 1.140774087761293e-23 0.000000000000000e+00 1.553593239770581e-03 2.197096446844714e-03 1.137017775942883e-05 5.700667374353908e-03 1.648561990067102e-16 4.216429712095093e-13 1.546683990614909e-03 2.558233107512331e-06 0.000000000000000e+00 1.548987525268045e-03 2.188972422123475e-03 5.684907886405188e-05 2.850242942539999e-02 2.064321210366468e-14 6.143980486130888e-11 1.519322361141163e-03 1.267764989266893e-05 0.000000000000000e+00 1.530767210930202e-03 2.156791462782017e-03 1.591698193881275e-04 7.980299126064701e-02 4.550887303513552e-13 1.396792860848930e-09 1.459215857606975e-03 3.479506665451694e-05 0.000000000000000e+00 1.490788803418618e-03 2.086377931285561e-03 3.410564671805227e-04 1.709955214777642e-01 4.513208197398610e-12 1.461731472512533e-08 1.357968079936805e-03 7.197525861438258e-05 0.000000000000000e+00 1.423409923442126e-03 1.968591769348598e-03 6.252204245906778e-04 3.134668385714681e-01 2.815187084096435e-11 9.579097551746357e-08 1.213507054591598e-03 1.249639517229758e-04 0.000000000000000e+00 1.327129758334658e-03 1.802633841191027e-03 1.034356813211845e-03 5.185955983518106e-01 1.297198652875595e-10 4.507016661135455e-07 9.663650874800291e-04 1.915058266110127e-04 0.000000000000000e+00 1.205174228205816e-03 1.556592781490954e-03 1.591140861214257e-03 7.977504826609803e-01 4.433889153149501e-10 1.621594405420595e-06 7.866402006090655e-04 2.664387600093012e-04 0.000000000000000e+00 9.949786932067993e-04 1.296062362524924e-03 2.306854116087109e-03 1.156587722304212e+00 1.389912322123044e-09 4.554955070928735e-06 5.980491727002568e-04 3.418990189022239e-04 0.000000000000000e+00 8.700893860722137e-04 1.109790088019764e-03 3.181382648813180e-03 1.595050196676604e+00 3.738091552530113e-09 1.019610436040331e-05 4.107694846262942e-04 4.109719005280219e-04 0.000000000000000e+00 7.538246270344240e-04 9.518324439760686e-04 4.214587249764312e-03 2.113068110230344e+00 8.810684852983109e-09 1.882980816910806e-05 2.596977612101235e-04 4.708755102751362e-04 0.000000000000000e+00 6.443101079982764e-04 8.394383541252355e-04 5.406303450860905e-03 2.710559003584820e+00 1.845750959368064e-08 2.977037891280861e-05 1.232756704151997e-04 5.223944014629227e-04 0.000000000000000e+00 5.721981190578689e-04 7.851049387507235e-04 6.756341551752310e-03 3.387427766652685e+00 3.584961105893044e-08 4.169314656107954e-05 6.757618829611044e-05 5.680196113768159e-04 0.000000000000000e+00 5.329077970413647e-04 7.829060352533623e-04 8.264486650013891e-03 4.143566653779763e+00 6.118542545024274e-08 5.321063201877050e-05 7.280790966924791e-05 6.097960777639179e-04 0.000000000000000e+00 5.219363345092937e-04 8.077135386702109e-04 9.930498675355670e-03 4.978855300896238e+00 9.437921157482411e-08 6.313758040347599e-05 8.351090240858649e-05 6.478430667143566e-04 0.000000000000000e+00 5.288714274067930e-04 8.428321657393590e-04 1.175411242783730e-02 5.893160744676510e+00 1.321456807599973e-07 7.050785500182935e-05 8.961752094987869e-05 6.576679014355991e-04 0.000000000000000e+00 5.431234647617834e-04 8.605305582570505e-04 1.373503762008343e-02 6.886337443704699e+00 1.690780354235783e-07 7.350547840685797e-05 9.260439697169133e-05 6.828868508125192e-04 0.000000000000000e+00 6.383011486564217e-04 9.422003320262846e-04 1.587295892349216e-02 7.958227301642201e+00 1.994898136968331e-07 7.464533350612198e-05 1.010910091797411e-04 6.969124277319698e-04 0.000000000000000e+00 6.703929163610936e-04 9.751435545507157e-04 1.816753601842991e-02 9.108659692393887e+00 2.020331435835588e-07 7.975604439783533e-05 1.132705242268350e-04 6.977197702656245e-04 0.000000000000000e+00 6.767134029288895e-04 9.818071025497401e-04 2.061840364840439e-02 1.033745148726882e+01 2.112199145565353e-07 8.909502678180346e-05 1.181166643127614e-04 6.230864971846574e-04 0.000000000000000e+00 6.729656212916516e-04 9.289827905907519e-04 2.322517167820681e-02 1.164440708413101e+01 2.091208676799018e-07 8.818728918244499e-05 1.074004732844144e-04 6.143578631688583e-04 0.000000000000000e+00 6.614081492128662e-04 9.133500025998775e-04 2.598742515601504e-02 1.302931843853608e+01 1.979813488948393e-07 8.309246203061328e-05 9.812908579168513e-05 5.906941305006642e-04 0.000000000000000e+00 6.438023266144700e-04 8.831391201183287e-04 2.890472437944613e-02 1.449196509684804e+01 1.808968176355107e-07 7.435157555647263e-05 8.289691761879653e-05 5.871325179134764e-04 0.000000000000000e+00 6.225169884409775e-04 8.629322586107955e-04 3.197660496554977e-02 1.603211423133192e+01 1.710927004678611e-07 6.316628463821634e-05 7.213673504333816e-05 5.577739319636277e-04 0.000000000000000e+00 5.785376895803450e-04 8.093277054281229e-04 3.520257792472925e-02 1.764952067721551e+01 1.496960479949988e-07 5.062360191307063e-05 5.650072640764312e-05 5.289148432486759e-04 0.000000000000000e+00 5.592280377947867e-04 7.734610612233365e-04 3.858212973858088e-02 1.934392697171572e+01 1.281830463498344e-07 3.848959774386395e-05 4.704280391137412e-05 5.021508258825011e-04 0.000000000000000e+00 5.374740171808974e-04 7.380570858980160e-04 4.211472244163650e-02 2.111506339502187e+01 1.076422984099637e-07 2.808423479043982e-05 3.643486658627162e-05 4.785010902251030e-04 0.000000000000000e+00 5.136872737211826e-04 7.035297746815708e-04 4.579979370699805e-02 2.296264801323024e+01 8.896415979310754e-08 1.995736681080670e-05 2.781233480442081e-05 4.579711367683223e-04 0.000000000000000e+00 5.004358857434322e-04 6.792241664020788e-04 4.963675693585101e-02 2.488638672322350e+01 7.265212456758237e-08 1.175298891415858e-05 2.185790097038092e-05 4.396652906353512e-04 0.000000000000000e+00 4.480378655781804e-04 6.282192313539104e-04 5.362500135083959e-02 2.688597329948620e+01 5.878427653686849e-08 1.159588724942675e-05 1.689711203406211e-05 4.223258153395789e-04 0.000000000000000e+00 4.267500232549456e-04 6.007450849587710e-04 5.776389209329269e-02 2.896108944285097e+01 4.721712375808798e-08 1.264796010428159e-05 1.348657863002898e-05 4.131325135423316e-04 0.000000000000000e+00 4.057058740807654e-04 5.793251167840411e-04 6.205277032428169e-02 3.111140483116587e+01 3.776993911715516e-08 1.412677194297708e-05 1.102894063045769e-05 4.060019709058924e-04 0.000000000000000e+00 3.850166454538715e-04 5.598183833169009e-04 6.649095332949628e-02 3.333657717187602e+01 3.019922903057152e-08 1.547752776496182e-05 8.856440580812044e-06 3.997584016321425e-04 0.000000000000000e+00 3.443102288489401e-04 5.278961116384216e-04 7.107773462792077e-02 3.563625225651064e+01 2.753118713747923e-08 1.653700809633016e-05 6.741728024250237e-06 3.840196518892784e-04 0.000000000000000e+00 3.319763848307839e-04 5.079353673588567e-04 7.581238408429336e-02 3.801006401706675e+01 2.222767299602727e-08 1.795681709847440e-05 5.521762409332336e-06 3.666565254604110e-04 0.000000000000000e+00 3.164582033349386e-04 4.847017018282079e-04 8.069414802533059e-02 4.045763458428067e+01 1.796841515329554e-08 1.855845670147084e-05 4.578448748430201e-06 3.489990935068953e-04 0.000000000000000e+00 3.006142666728429e-04 4.610148407880510e-04 8.572224935969941e-02 4.297857434777840e+01 1.465979430072011e-08 1.872942726177453e-05 3.910302567725687e-06 3.314766197157524e-04 0.000000000000000e+00 2.915307760269737e-04 4.418518132991036e-04 9.089588770171653e-02 4.557248201809480e+01 1.210546384503749e-08 1.859488061193541e-05 3.377557489190938e-06 3.142756678650330e-04 0.000000000000000e+00 2.748045986868249e-04 4.179042240723903e-04 9.621423949875518e-02 4.823894469055153e+01 1.007040425216170e-08 1.875182245413344e-05 2.862391869194303e-06 2.973819207093639e-04 0.000000000000000e+00 2.524457300418910e-04 3.905440789656795e-04 1.016764581623409e-01 5.097753791098458e+01 8.547622774240233e-09 1.810926368664008e-05 2.493328049668235e-06 2.800497605254194e-04 0.000000000000000e+00 2.379091684791655e-04 3.679168425145689e-04 1.072816742029136e-01 5.378782574330978e+01 7.450804163712717e-09 1.700471274211466e-05 1.999119947127875e-06 2.623684650900030e-04 0.000000000000000e+00 2.239504616168829e-04 3.453754153433889e-04 1.130289953682343e-01 5.666936083891619e+01 6.471182441389703e-09 1.628478205962421e-05 1.712109218569566e-06 2.454068157209081e-04 0.000000000000000e+00 2.115815771701067e-04 3.244370424083038e-04 1.189175067854171e-01 5.962168450787622e+01 5.529126963496104e-09 1.562640819843566e-05 1.422391372227062e-06 2.297301153223257e-04 0.000000000000000e+00 2.001921656905353e-04 3.051213479107074e-04 1.249462711065602e-01 6.264432679196094e+01 3.485426684918067e-09 1.623045068540811e-05 1.183741818526670e-06 2.153491688435754e-04 0.000000000000000e+00 1.882784144452340e-04 2.865115262147801e-04 1.311143286579557e-01 6.573680653944940e+01 3.033192937725166e-09 1.609049479395199e-05 1.031631008233748e-06 2.020852641184956e-04 0.000000000000000e+00 1.795293047222316e-04 2.707936364140444e-04 1.374206975928525e-01 6.889863148171935e+01 2.557165664408862e-09 1.550411777759345e-05 8.463515455645633e-07 1.921453190568461e-04 0.000000000000000e+00 1.695316800038274e-04 2.567136695735476e-04 1.438643740477492e-01 7.212929831160781e+01 2.363667771524329e-09 1.421866906335274e-05 7.582004467383103e-07 1.872041301351978e-04 0.000000000000000e+00 1.599068554422373e-04 2.466137347767520e-04 1.504443323021919e-01 7.542829276352889e+01 2.257714306107544e-09 1.437913396054882e-05 6.944155191624370e-07 1.807376310401221e-04 0.000000000000000e+00 1.487832694712021e-04 2.345416684941113e-04 1.571595249420504e-01 7.879508969533570e+01 2.240178631039403e-09 1.520338801784508e-05 7.034986019703296e-07 1.696311799634780e-04 0.000000000000000e+00 1.411039858780461e-04 2.211712231936972e-04 1.640088830262488e-01 8.222915317191396e+01 2.303451597362774e-09 1.442419236138847e-05 6.329419920932740e-07 1.590257975988314e-04 0.000000000000000e+00 1.337956022425915e-04 2.083240874876255e-04 1.709913162569218e-01 8.572993655049336e+01 2.400266521491477e-09 1.349974338587669e-05 6.760194873964263e-07 1.509694143755361e-04 0.000000000000000e+00 1.268782132894695e-04 1.976677646051919e-04 1.781057131529707e-01 8.929688256766350e+01 2.415807759305703e-09 1.311582604851664e-05 6.130853943336805e-07 1.413977836243835e-04 0.000000000000000e+00 1.205569778811517e-04 1.862786055944060e-04 1.853509412269928e-01 9.292942342808057e+01 2.335166332236329e-09 1.356004249921224e-05 5.746315711224138e-07 1.246525820650083e-04 0.000000000000000e+00 1.146453775793336e-04 1.699000699683716e-04 1.927258471655524e-01 9.662698089485033e+01 2.319004317620465e-09 1.732895339423086e-05 5.380248561061670e-07 1.181773255992633e-04 0.000000000000000e+00 1.091254276329058e-04 1.617863447381201e-04 2.002292570127688e-01 1.003889663815734e+02 2.461082119167708e-09 1.712582777643118e-05 5.247394824180507e-07 1.121489311256271e-04 0.000000000000000e+00 1.039638413791217e-04 1.538812282298694e-04 2.078599763571893e-01 1.042147810460377e+02 2.674969880112178e-09 1.595744877085210e-05 5.090425000417228e-07 1.064151792084074e-04 0.000000000000000e+00 9.921374133093806e-05 1.463641217564483e-04 2.156167905219186e-01 1.081038158855440e+02 2.814310453366820e-09 1.389249399925132e-05 5.028040169277814e-07 1.009675863588222e-04 0.000000000000000e+00 9.481312942772597e-05 1.392021451570483e-04 2.234984647579742e-01 1.120554518338482e+02 2.863161850404516e-09 1.369353484968825e-05 4.943501147714233e-07 9.583197211005068e-05 0.000000000000000e+00 9.071915111584093e-05 1.326706016591227e-04 2.315037444408364e-01 1.160690598597058e+02 2.914211548892392e-09 1.358523124994923e-05 4.712195429726409e-07 9.281675285743765e-05 0.000000000000000e+00 8.690485247654723e-05 1.278756566334422e-04 2.396313552701632e-01 1.201440010670028e+02 3.035971958890622e-09 1.306784092110060e-05 4.748802897977787e-07 8.795657278588904e-05 0.000000000000000e+00 8.328349702100314e-05 1.218338768944533e-04 2.478800034726363e-01 1.242796267964570e+02 3.202127322214153e-09 1.293117489383811e-05 5.170862351429001e-07 8.395718980901213e-05 0.000000000000000e+00 7.993345240220947e-05 1.166432561536500e-04 2.562483760079066e-01 1.284752787288724e+02 3.427470022850521e-09 1.232965932789556e-05 5.133796821883527e-07 7.947530532412335e-05 0.000000000000000e+00 7.684744738152291e-05 1.112391046125694e-04 2.647351407776085e-01 1.327302889899333e+02 3.802451865354703e-09 1.287432239761388e-05 4.229739798462026e-07 7.599938932139972e-05 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