% Filename : LM_Couette_R0220_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_R0220_020PI_RSTE_ww_prof.dat % % Total number of data points : 96 % % % % % 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 = 1280 % Grid (wall-normal) ny = 192 % Grid (spanwise) nz = 768 % Streamwise domain size Lx = 20pi % Spanwise domain size Lz = 5pi % B-Spline order n = 7 % Kinematic Viscosity nu = 2.50000e-04 % channel half width delta = 1.000 % Velocity at wall U_mean = (+/-) 1.000 % Friction vel u_tau = 5.47883e-02 % Re_tau Re_tau = 219.153 % % % 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 2.613332670717706e-13 6.158198996695451e-04 7.368133682418643e-23 0.000000000000000e+00 6.158179328947144e-04 8.708994633731999e-04 2.059765673623204e-05 4.514042136904974e-03 1.355244081929567e-16 1.687339525728587e-13 6.136511473267113e-04 7.282603688078237e-07 0.000000000000000e+00 6.143727673880806e-04 8.683444928636574e-04 1.029823439926414e-04 2.256890898285087e-02 1.697190521613169e-14 1.249563048919857e-11 6.050399787856316e-04 3.617986991823385e-06 0.000000000000000e+00 6.086375757526808e-04 8.582110255507620e-04 2.883256182004690e-04 6.318747838032863e-02 3.741421040748562e-13 2.800420236540315e-10 5.860002851630937e-04 9.985712922175039e-06 0.000000000000000e+00 5.959668903723818e-04 8.358663667680356e-04 6.177693459122890e-04 1.353861215402712e-01 3.708241272154292e-12 2.857201855284202e-09 5.534291498905613e-04 2.086092345505540e-05 0.000000000000000e+00 5.742902569746412e-04 7.978272377777974e-04 1.132413839837088e-03 2.481721030163199e-01 2.308929266797890e-11 1.920080222066071e-08 5.057706661604996e-04 3.676974871295080e-05 0.000000000000000e+00 5.425517008688056e-04 7.426428008492066e-04 1.873306006858533e-03 4.105409833052455e-01 1.059541452743682e-10 9.128641618584098e-08 4.353797205776028e-04 5.753620304088669e-05 0.000000000000000e+00 5.009575915368517e-04 6.662014954968338e-04 2.881427511453483e-03 6.314740248223802e-01 3.915264224890665e-10 3.419756421773035e-07 3.605892510496025e-04 8.218994591037831e-05 0.000000000000000e+00 4.432949908828782e-04 5.773130529189587e-04 4.177085301188321e-03 9.154215598633070e-01 1.210853519825569e-09 9.704543376543684e-07 2.801458743444520e-04 1.086916094715669e-04 0.000000000000000e+00 3.884882244693838e-04 4.911411398123752e-04 5.759905750861605e-03 1.262301707274051e+00 3.212435382602792e-09 2.408015079521493e-06 2.019671078852137e-04 1.346908098448387e-04 0.000000000000000e+00 3.337886037575958e-04 4.127383644266236e-04 7.629432426981109e-03 1.672014438199730e+00 7.501158492732919e-09 5.030732573626073e-06 1.298323950081493e-04 1.585329992658162e-04 0.000000000000000e+00 2.833753168707246e-04 3.497371029614183e-04 9.785126219384543e-03 2.144441604929652e+00 1.480697330808616e-08 9.085103854155531e-06 7.175173423107835e-05 1.794161084323482e-04 0.000000000000000e+00 2.407743319634691e-04 3.088580087903137e-04 1.222636549670120e-02 2.679446974967229e+00 2.835087792667138e-08 1.450044424792421e-05 3.315053641468832e-05 1.972780960564120e-04 0.000000000000000e+00 2.119910466341215e-04 2.918356948497120e-04 1.495244628560999e-02 3.276876270314955e+00 5.141471926556160e-08 2.082628388880632e-05 2.944484960028669e-05 2.124860242120390e-04 0.000000000000000e+00 1.897994101509334e-04 2.871843702069378e-04 1.796258247384253e-02 3.936557211963167e+00 8.859853940867301e-08 2.733538920226911e-05 3.998851168980018e-05 2.254682395193102e-04 0.000000000000000e+00 1.793426087743164e-04 2.921403956552749e-04 2.125590603687155e-02 4.658299569569547e+00 1.336757552646847e-07 3.322058933009172e-05 4.570974560431943e-05 2.364406768685157e-04 0.000000000000000e+00 1.745145359585078e-04 2.992532760166761e-04 2.483146728822128e-02 5.441895216315425e+00 1.878140065380627e-07 3.781855949930647e-05 4.528154701731718e-05 2.453179268839935e-04 0.000000000000000e+00 1.773592146797601e-04 3.084118569372241e-04 2.868823515332564e-02 6.287118188922690e+00 2.466444796179765e-07 4.077473567894228e-05 4.198734179819667e-05 2.517896055540320e-04 0.000000000000000e+00 1.826779380341543e-04 3.165356398321220e-04 3.282509746685636e-02 7.193724752814187e+00 2.959183235488505e-07 4.199367280461641e-05 3.898603955969863e-05 2.512787599862264e-04 0.000000000000000e+00 1.883393957937958e-04 3.192118585391424e-04 3.724086129343462e-02 8.161453472398696e+00 3.445687866194247e-07 4.236060258693895e-05 3.904198008071451e-05 2.559159564613178e-04 0.000000000000000e+00 1.958268649806463e-04 3.273529492878590e-04 4.193425327163525e-02 9.190025286460541e+00 3.785885792908802e-07 4.078570798677291e-05 3.714039396295986e-05 2.528925789957618e-04 0.000000000000000e+00 1.946846847759610e-04 3.238824002110356e-04 4.690391998118171e-02 1.027914358863157e+01 3.949244019619491e-07 3.820601659479634e-05 3.646231842894702e-05 2.463349602672813e-04 0.000000000000000e+00 1.948104048356229e-04 3.184672083851670e-04 5.214842833322808e-02 1.142849431292265e+01 3.942181902413584e-07 3.517823027086803e-05 3.607233370551557e-05 2.317303469396214e-04 0.000000000000000e+00 1.929449027966155e-04 3.057213858399286e-04 5.766626598361557e-02 1.263774602429020e+01 3.794276422374856e-07 3.043751937279962e-05 3.252454898381684e-05 2.236029105253243e-04 0.000000000000000e+00 1.896407905732854e-04 2.965574546056174e-04 6.345584176898234e-02 1.390655001421100e+01 3.539844893407994e-07 2.819556037778920e-05 3.043030637928584e-05 2.151150499404271e-04 0.000000000000000e+00 1.852708889844612e-04 2.869161994247422e-04 6.951548616560277e-02 1.523454040123832e+01 3.207494113855700e-07 2.694486028172128e-05 2.743905720606862e-05 2.108612349568349e-04 0.000000000000000e+00 1.829240607891120e-04 2.817848517206782e-04 7.584345177082374e-02 1.662133423651020e+01 2.819340501570586e-07 2.430529477425127e-05 2.355698081157895e-05 1.990339714367545e-04 0.000000000000000e+00 1.769340427876088e-04 2.684509926762857e-04 8.243791380695809e-02 1.806653161417929e+01 2.394602065216446e-07 2.450672937004391e-05 1.902826381424716e-05 1.904033202576127e-04 0.000000000000000e+00 1.705250931884136e-04 2.574780451250783e-04 8.929697064749043e-02 1.956971578673256e+01 1.952683772811471e-07 2.181576443855541e-05 1.602588227423917e-05 1.803113267215369e-04 0.000000000000000e+00 1.644070285715379e-04 2.455089411778088e-04 9.641864436544412e-02 2.113045328516766e+01 1.653959768945482e-07 2.159660549369520e-05 1.346133223079779e-05 1.739352315995657e-04 0.000000000000000e+00 1.588201986119663e-04 2.369070882621420e-04 1.038008813037503e-01 2.274829404399111e+01 1.209957156463434e-07 2.239560727442474e-05 1.222485315110724e-05 1.672649401536615e-04 0.000000000000000e+00 1.535647122920665e-04 2.284966213441081e-04 1.114415526674554e-01 2.442277153100244e+01 8.087139464507161e-08 2.242826560179528e-05 1.115614653790941e-05 1.639233099209726e-04 0.000000000000000e+00 1.485754348988996e-04 2.226499598798680e-04 1.193384551375956e-01 2.615340288182680e+01 5.367408827521461e-08 2.248838118072657e-05 1.004926080502473e-05 1.592284918046503e-04 0.000000000000000e+00 1.433635836370242e-04 2.156699968178199e-04 1.274893115065617e-01 2.793968903915715e+01 1.777803343708050e-08 2.637039783455902e-05 9.222293744847435e-06 1.546897566489548e-04 0.000000000000000e+00 1.375058008629134e-04 2.088473485179826e-04 1.358917713347718e-01 2.978111489666613e+01 1.128554073024760e-08 2.747328011078648e-05 8.667176444526418e-06 1.500117118005398e-04 0.000000000000000e+00 1.314199262873121e-04 2.015058607029098e-04 1.445434116284596e-01 3.167714944754562e+01 1.121938416910973e-08 3.235415884027237e-05 8.000773434439484e-06 1.450684780459230e-04 0.000000000000000e+00 1.260420820051522e-04 1.950442869054085e-04 1.534417375383876e-01 3.362724593763191e+01 2.092535481312051e-08 3.365198800610770e-05 7.182716216417233e-06 1.399090623671247e-04 0.000000000000000e+00 1.209837418576965e-04 1.881373425804059e-04 1.625841830792791e-01 3.563084202307152e+01 4.396766347483561e-08 3.335258875381347e-05 6.711068672939674e-06 1.346885651555959e-04 0.000000000000000e+00 1.159361655508732e-04 1.809409838007465e-04 1.719681118697645e-01 3.768735993248277e+01 5.994157685271662e-08 3.330400733348803e-05 6.336258885061194e-06 1.294782631598069e-04 0.000000000000000e+00 1.109260967661105e-04 1.738347728412383e-04 1.815908178926267e-01 3.979620663356607e+01 7.603017844577422e-08 3.310414752872414e-05 6.040736160969270e-06 1.260761363423896e-04 0.000000000000000e+00 1.059543642130464e-04 1.680889654569083e-04 1.914495262751283e-01 4.195677400411503e+01 8.589065949179521e-08 4.223068874148587e-05 6.115931016299463e-06 1.208904264475119e-04 0.000000000000000e+00 1.011918033491420e-04 1.633251950333888e-04 2.015413940891936e-01 4.416843900737884e+01 8.994616819889087e-08 4.153229851946453e-05 5.816021167849675e-06 1.298676979574337e-04 0.000000000000000e+00 9.705719657422051e-05 1.674648751005956e-04 2.118635111712157e-01 4.643056387172582e+01 8.827324505595774e-08 4.092968863453016e-05 5.753531209678473e-06 1.230893886176489e-04 0.000000000000000e+00 9.315760778520339e-05 1.598051557484755e-04 2.224129009612524e-01 4.874249627455565e+01 7.482278539864100e-08 3.806846865591348e-05 5.429244852673225e-06 1.053238620184217e-04 0.000000000000000e+00 8.944221655640290e-05 1.434284372672441e-04 2.331865213613683e-01 5.110356953040788e+01 7.125171880288832e-08 3.711582409104820e-05 4.770779558981266e-06 9.888953390360108e-05 0.000000000000000e+00 8.578775656257712e-05 1.361581026016334e-04 2.441812656128760e-01 5.351310278321218e+01 6.050275516676359e-08 3.561538018124690e-05 4.443386252198501e-06 9.407058443043688e-05 0.000000000000000e+00 8.241333275620842e-05 1.301131619725455e-04 2.553939631922236e-01 5.597040120262484e+01 6.054491493313495e-08 2.797586754308629e-05 4.256086401333185e-06 9.077051687295083e-05 0.000000000000000e+00 7.952282000086909e-05 1.239513321275892e-04 2.668213807252695e-01 5.847475618439507e+01 6.485049780913794e-08 2.822901433598694e-05 4.054284357376787e-06 8.653510939598225e-05 0.000000000000000e+00 7.664928250442594e-05 1.190661847219302e-04 2.784602229196816e-01 6.102544555470325e+01 6.935206943396162e-08 2.250665202366985e-05 3.856625279924266e-06 8.245391857340255e-05 0.000000000000000e+00 7.383249439968842e-05 1.130102370184364e-04 2.903071335151914e-01 6.362173377841214e+01 7.444606318052600e-08 2.196151399129532e-05 3.828444872345440e-06 7.850840885015553e-05 0.000000000000000e+00 7.122494216846868e-05 1.083214349804860e-04 3.023586962514291e-01 6.626287217117100e+01 7.862695958790706e-08 2.887940342878084e-05 3.643375058937367e-06 7.318291267724380e-05 0.000000000000000e+00 6.907153077555134e-05 1.047564574526275e-04 3.146114358530614e-01 6.894809911531175e+01 8.186248211589239e-08 2.827142813796293e-05 3.606454676225874e-06 6.994428806084264e-05 0.000000000000000e+00 6.599621288850246e-05 1.002995035566993e-04 3.270618190319470e-01 7.167664027947446e+01 8.622894242127833e-08 2.744005775241330e-05 3.566867081194804e-06 6.686665465861773e-05 0.000000000000000e+00 6.325509672672537e-05 9.611474139175232e-05 3.397062555060204e-01 7.444770884189904e+01 9.187422051821069e-08 2.639611740714258e-05 3.492631332484507e-06 6.399139061565723e-05 0.000000000000000e+00 6.312045395300329e-05 9.374460895874246e-05 3.525410990346119e-01 7.726050571731891e+01 9.636057901140654e-08 2.828600536275564e-05 3.398180034526210e-06 6.136883554952238e-05 0.000000000000000e+00 6.145947371836179e-05 9.140599487305199e-05 3.655626484699042e-01 8.011421978739098e+01 9.835882238689555e-08 1.919037680178519e-05 3.152805690706828e-06 5.894389067697556e-05 0.000000000000000e+00 6.038406303083626e-05 8.659582978542929e-05 3.787671488242206e-01 8.300802813459546e+01 9.783853425984216e-08 1.903054881080791e-05 3.049921796497810e-06 5.671128298506944e-05 0.000000000000000e+00 5.911671379080464e-05 8.415716755345690e-05 3.921507923528420e-01 8.594109627953846e+01 7.694276533580781e-08 1.896304705840340e-05 2.977655643246550e-06 5.606458017166494e-05 0.000000000000000e+00 5.737063085807671e-05 8.248088228151337e-05 4.057097196520344e-01 8.891257842158828e+01 7.205705713450321e-08 1.963122436233835e-05 2.851578028380674e-06 5.460893832941607e-05 0.000000000000000e+00 5.732932085986430e-05 8.162296757135907e-05 4.194400207719746e-01 9.192161768277666e+01 6.497150832859592e-08 1.980889393051791e-05 2.836121724985092e-06 5.342021587192874e-05 0.000000000000000e+00 5.710185125183804e-05 8.071419309314094e-05 4.333377363442519e-01 9.496734635489435e+01 5.701172631549403e-08 1.907290213031712e-05 2.739082937650181e-06 5.257549858559508e-05 0.000000000000000e+00 5.713151221454787e-05 7.999671343745230e-05 4.473988587236192e-01 9.804888614970950e+01 5.116079560948527e-08 1.888590541194733e-05 2.832059816552093e-06 5.298416751463216e-05 0.000000000000000e+00 5.759950449541916e-05 8.055883271744304e-05 4.616193331436672e-01 1.011653484522374e+02 4.526289934072195e-08 1.856206269179260e-05 2.859353256393083e-06 5.619941807709401e-05 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