% Filename : LM_Couette_R0500_100PI_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_R0500_100PI_RSTE_k_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: (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 1.445240653679542e-12 9.613630661226384e-03 0.000000000000000e+00 4.601088431734325e-14 9.613659392434653e-03 1.359574718079955e-02 1.137017775942883e-05 5.700667374353908e-03 3.046527910241007e-12 2.893022653055735e-08 9.612852633154248e-03 0.000000000000000e+00 1.529804687477171e-06 9.613030145766876e-03 1.359475232273658e-02 5.684907886405188e-05 2.850242942539999e-02 3.816704831732321e-10 7.228211974052691e-07 9.610332345374841e-03 0.000000000000000e+00 7.563702312532354e-06 9.610592590948550e-03 1.359125213349789e-02 1.591698193881275e-04 7.980299126064701e-02 8.420683901870295e-09 5.659509569703645e-06 9.608549922321758e-03 0.000000000000000e+00 2.065005494758754e-05 9.605527134257613e-03 1.358644852610723e-02 3.410564671805227e-04 1.709955214777642e-01 8.358417889694877e-08 2.591597517402824e-05 1.094565503383711e-02 0.000000000000000e+00 4.230371191331078e-05 9.597751665065751e-03 1.455780898600701e-02 6.252204245906778e-04 3.134668385714681e-01 5.218157765527200e-07 8.662510871311157e-05 1.097739008055357e-02 0.000000000000000e+00 7.229223979794358e-05 9.587680981844263e-03 1.457562164972406e-02 1.034356813211845e-03 5.185955983518106e-01 2.404427286968555e-06 2.344961500686050e-04 1.109314445088399e-02 0.000000000000000e+00 1.081253890617060e-04 9.574543572174904e-03 1.465665937920094e-02 1.591140861214257e-03 7.977504826609803e-01 8.928280475845586e-06 5.426239051287799e-04 1.626812625800331e-02 0.000000000000000e+00 1.451371234984045e-04 9.549967045287782e-03 1.887349706231443e-02 2.306854116087109e-03 1.156587722304212e+00 2.769859303970028e-05 1.092572395540626e-03 1.657655909466882e-02 0.000000000000000e+00 1.770575137968546e-04 9.498250405067252e-03 1.913861279261049e-02 3.181382648813180e-03 1.595050196676604e+00 6.944259256692041e-05 1.925934968766612e-03 1.700330638879727e-02 0.000000000000000e+00 2.050269476189462e-04 1.071150591825931e-02 2.019134652071288e-02 4.214587249764312e-03 2.113068110230344e+00 1.601245174743262e-04 2.987113956128565e-03 1.687247211303010e-02 0.000000000000000e+00 2.147859690852138e-04 1.076063340095666e-02 2.023782664421053e-02 5.406303450860905e-03 2.710559003584820e+00 3.256433903862055e-04 4.079552719041049e-03 1.718645013676845e-02 0.000000000000000e+00 2.128423321683268e-04 1.015683675694431e-02 2.038251185757942e-02 6.756341551752310e-03 3.387427766652685e+00 5.594176922284721e-04 4.893703936594122e-03 1.709398791884022e-02 0.000000000000000e+00 1.861450235207009e-04 9.276835474773227e-03 2.006714109472375e-02 8.264486650013891e-03 4.143566653779763e+00 9.118294179694258e-04 5.125721959076109e-03 1.638428472809173e-02 0.000000000000000e+00 1.719019758375351e-04 1.312597579390057e-02 2.163355618802559e-02 9.930498675355670e-03 4.978855300896238e+00 1.340007101597752e-03 4.627220614526504e-03 1.504693238762455e-02 0.000000000000000e+00 1.532975930234265e-04 7.270279943903736e-03 1.739707995885435e-02 1.175411242783730e-02 5.893160744676510e+00 1.788261660666634e-03 3.490868892592664e-03 1.258127983479099e-02 0.000000000000000e+00 1.312303460928922e-04 6.669640448055791e-03 1.477662604907647e-02 1.373503762008343e-02 6.886337443704699e+00 2.186351269612643e-03 2.170407932745443e-03 9.965424700784483e-03 0.000000000000000e+00 1.089954880556098e-04 4.981586213710580e-03 1.156845015849534e-02 1.587295892349216e-02 7.958227301642201e+00 2.474615019284572e-03 8.010625481431583e-04 6.862510691010928e-03 0.000000000000000e+00 8.373652171994619e-05 3.828996107251757e-03 8.291754957672655e-03 1.816753601842991e-02 9.108659692393887e+00 2.623222726389189e-03 1.148937591937076e-04 4.883048426302615e-03 0.000000000000000e+00 6.135264580819928e-05 3.005499491492087e-03 6.325930606943826e-03 2.061840364840439e-02 1.033745148726882e+01 2.537820830436361e-03 6.247091140833611e-04 2.239591331398991e-03 0.000000000000000e+00 4.202486387483157e-05 2.309592397365904e-03 4.173973777220207e-03 2.322517167820681e-02 1.164440708413101e+01 2.460161048838404e-03 1.515131884430569e-03 8.536738425505146e-04 0.000000000000000e+00 2.749848914566471e-05 1.817691069052995e-03 3.555383441432186e-03 2.598742515601504e-02 1.302931843853608e+01 2.306045772495065e-03 2.032565788313984e-03 3.193498096649917e-04 0.000000000000000e+00 2.204424650067391e-05 1.502679569143032e-03 3.476173370360450e-03 2.890472437944613e-02 1.449196509684804e+01 2.107046169013687e-03 2.319124655688426e-03 2.460184524796141e-04 0.000000000000000e+00 2.284530622699238e-05 1.196044629548245e-03 3.406092034716701e-03 3.197660496554977e-02 1.603211423133192e+01 1.889412173416620e-03 2.274943038021706e-03 3.200799907313779e-04 0.000000000000000e+00 2.245180647815882e-05 1.052417255197742e-03 3.202347437858319e-03 3.520257792472925e-02 1.764952067721551e+01 1.672260408211367e-03 2.211862856479068e-03 3.618159122642068e-04 0.000000000000000e+00 1.958471509191690e-05 9.485366353275061e-04 3.002233661209264e-03 3.858212973858088e-02 1.934392697171572e+01 1.571818541185600e-03 2.061359781860088e-03 3.754433496980656e-04 0.000000000000000e+00 1.619083231193662e-05 8.689813665304307e-04 2.811129350441179e-03 4.211472244163650e-02 2.111506339502187e+01 1.378858347954940e-03 1.856378498560370e-03 3.422909039130186e-04 0.000000000000000e+00 1.097706159937995e-05 7.895455368053565e-04 2.524210097590382e-03 4.579979370699805e-02 2.296264801323024e+01 1.187071679542834e-03 1.620753229744034e-03 3.080792392880280e-04 0.000000000000000e+00 8.053959542220490e-06 7.066895425861128e-04 2.216160741601674e-03 4.963675693585101e-02 2.488638672322350e+01 1.040556566748755e-03 1.383537323113656e-03 2.494130008265607e-04 0.000000000000000e+00 5.411711656337236e-06 6.437382700191871e-04 1.947085146705138e-03 5.362500135083959e-02 2.688597329948620e+01 9.131346256606383e-04 1.219579974891059e-03 2.104098671578063e-04 0.000000000000000e+00 4.850579104210140e-06 5.840052797944589e-04 1.721525129142569e-03 5.776389209329269e-02 2.896108944285097e+01 8.036142040633817e-04 1.049105033613370e-03 1.977808621841461e-04 0.000000000000000e+00 9.833986242502291e-06 5.383794978226862e-04 1.522059813784721e-03 6.205277032428169e-02 3.111140483116587e+01 7.103441816960699e-04 1.005718226945370e-03 1.633146063115183e-04 0.000000000000000e+00 1.303873472787912e-05 4.793867977285456e-04 1.411894612595971e-03 6.649095332949628e-02 3.333657717187602e+01 6.313623138795352e-04 8.828691446216739e-04 1.363722719878195e-04 0.000000000000000e+00 1.522799921502454e-05 4.375599279577816e-04 1.261342619189028e-03 7.107773462792077e-02 3.563625225651064e+01 5.944295158842880e-04 7.696274447251924e-04 1.052662703541454e-04 0.000000000000000e+00 1.656021687419854e-05 3.920845234589696e-04 1.143781271536907e-03 7.581238408429336e-02 3.801006401706675e+01 5.340466583453507e-04 6.574991220530663e-04 8.956953907078101e-05 0.000000000000000e+00 1.773893793890798e-05 3.628712835719662e-04 1.017007212537751e-03 8.069414802533059e-02 4.045763458428067e+01 4.827252774033350e-04 6.140668282205195e-04 7.134344513579481e-05 0.000000000000000e+00 1.785762817053725e-05 4.087271002072936e-04 9.695071498678450e-04 8.572224935969941e-02 4.297857434777840e+01 4.391476065813973e-04 5.320040848248947e-04 5.935591174974691e-05 0.000000000000000e+00 1.743555181825025e-05 3.685866758755259e-04 8.675297793270170e-04 9.089588770171653e-02 4.557248201809480e+01 3.895288994032477e-04 4.760199193150947e-04 4.644028847497275e-05 0.000000000000000e+00 1.680158356342764e-05 3.378668902811450e-04 7.828512476832366e-04 9.621423949875518e-02 4.823894469055153e+01 3.594008622539229e-04 4.319065525526418e-04 4.263442440519533e-05 0.000000000000000e+00 1.525694440699548e-05 3.023308531434451e-04 7.194274420871392e-04 1.016764581623409e-01 5.097753791098458e+01 3.334535457676982e-04 3.813608915590601e-04 3.171901673747463e-05 0.000000000000000e+00 1.747556490959493e-05 2.804477432930444e-04 6.556654355195469e-04 1.072816742029136e-01 5.378782574330978e+01 3.109496456824540e-04 3.351466220779000e-04 2.317665433965790e-05 0.000000000000000e+00 1.626269903542017e-05 2.546567685714841e-04 5.960197329606558e-04 1.130289953682343e-01 5.666936083891619e+01 2.912388782515731e-04 2.927307916181211e-04 1.617216079732895e-05 0.000000000000000e+00 1.550821415985101e-05 2.323666564087838e-04 5.428027592853889e-04 1.189175067854171e-01 5.962168450787622e+01 2.738348020050823e-04 2.566726226179731e-04 1.252494497240256e-05 0.000000000000000e+00 1.216099488216389e-05 2.118230735450445e-04 4.965570346584823e-04 1.249462711065602e-01 6.264432679196094e+01 2.584397648000820e-04 2.259996274745101e-04 9.881622373643340e-06 0.000000000000000e+00 1.424216475502371e-05 1.950908246371653e-04 4.567294303858147e-04 1.311143286579557e-01 6.573680653944940e+01 2.396800255388918e-04 1.985428577066247e-04 8.647674912038403e-06 0.000000000000000e+00 1.373075605044146e-05 1.805996913509311e-04 4.207493011326128e-04 1.374206975928525e-01 6.889863148171935e+01 2.281135801732979e-04 1.798490086236197e-04 6.108685658689263e-06 0.000000000000000e+00 1.285885078802391e-05 1.675393719505253e-04 3.927387923170953e-04 1.438643740477492e-01 7.212929831160781e+01 2.177283539070237e-04 1.573675000011212e-04 4.802208153660699e-06 0.000000000000000e+00 1.217778815131207e-05 1.546571808554902e-04 3.658741437917942e-04 1.504443323021919e-01 7.542829276352889e+01 2.083938935403483e-04 1.291477075735805e-04 3.946889169738374e-06 0.000000000000000e+00 1.122574903955201e-05 1.483049682860649e-04 3.407496985871883e-04 1.571595249420504e-01 7.879508969533570e+01 1.999705625289903e-04 1.139786231535707e-04 2.518549576751513e-06 0.000000000000000e+00 8.445060087937438e-06 1.315689587590153e-04 3.172828623677806e-04 1.640088830262488e-01 8.222915317191396e+01 1.912119657922392e-04 1.220829890355723e-04 2.203987623064704e-06 0.000000000000000e+00 8.058668068343252e-06 1.224803166294643e-04 3.053627797773714e-04 1.709913162569218e-01 8.572993655049336e+01 1.841982494774671e-04 1.119096569668522e-04 1.679552104911243e-06 0.000000000000000e+00 9.419043725016159e-06 1.153034411120456e-04 2.890906478623732e-04 1.781057131529707e-01 8.929688256766350e+01 1.776891775501078e-04 1.079461849160122e-04 1.415613717897241e-06 0.000000000000000e+00 8.832879952046156e-06 1.092695035022007e-04 2.761806866242766e-04 1.853509412269928e-01 9.292942342808057e+01 1.716577330884710e-04 9.406890693456995e-05 1.240994712550254e-06 0.000000000000000e+00 8.366669377088940e-06 1.032398980222691e-04 2.593753948545320e-04 1.927258471655524e-01 9.662698089485033e+01 1.660487283176973e-04 7.166149426151907e-05 1.016603646346203e-06 0.000000000000000e+00 8.010479677776416e-06 9.727352150858809e-05 2.397897392582050e-04 2.002292570127688e-01 1.003889663815734e+02 1.607942992220584e-04 4.587253580122196e-05 9.042681405333264e-07 0.000000000000000e+00 7.322742418173881e-06 9.224433977117846e-05 2.245683122362269e-04 2.078599763571893e-01 1.042147810460377e+02 1.558264699715435e-04 3.865346006323016e-05 8.419914711403793e-07 0.000000000000000e+00 6.638853423233054e-06 8.729890615297812e-05 2.149187362489679e-04 2.156167905219186e-01 1.081038158855440e+02 1.510747795171863e-04 3.387465902880307e-05 7.743689694114117e-07 0.000000000000000e+00 5.584758875935371e-06 8.326897783564102e-05 2.064309485213354e-04 2.234984647579742e-01 1.120554518338482e+02 1.465103937981571e-04 2.982768324289088e-05 7.370556434963259e-07 0.000000000000000e+00 4.965281568999507e-06 7.964508554447560e-05 1.985775596380019e-04 2.315037444408364e-01 1.160690598597058e+02 1.421386447719360e-04 2.605526781373053e-05 7.322726456785144e-07 0.000000000000000e+00 5.022045037355600e-06 7.612652070060776e-05 1.913728447369991e-04 2.396313552701632e-01 1.201440010670028e+02 1.388070956386356e-04 3.092807820905495e-05 8.193467326388472e-07 0.000000000000000e+00 5.909121865825103e-06 7.280184038586318e-05 1.862445092237938e-04 2.478800034726363e-01 1.242796267964570e+02 1.347940610839817e-04 1.773462743313196e-05 8.152122983072292e-07 0.000000000000000e+00 6.814119993329707e-06 6.965971670071721e-05 1.783369308143999e-04 2.562483760079066e-01 1.284752787288724e+02 1.301247861678912e-04 1.597919574924465e-05 7.728941957765955e-07 0.000000000000000e+00 4.720659054985290e-06 6.684801986474710e-05 1.716511198241354e-04 2.647351407776085e-01 1.327302889899333e+02 1.264433538578617e-04 1.401947055741558e-05 7.554310767496222e-07 0.000000000000000e+00 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