% Filename : LM_Channel_1000_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_Channel_1000_RSTE_ww_prof.dat % % Total number of data points : 256 % % % % % The data in this file was extracted from a direct numerical simulation % of fully developed plane turbulent channel 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, % Direct numerical simulation of turbulent channel flow up to Re_tau = 5200, % 2015, Journal of Fluid Mechanics, vol. 774, pp. 395-415 % % The paper can be found at http://journals.cambridge.org/article_S0022112015002682 % % 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 = 2304 % Grid (wall-normal) ny = 512 % Grid (spanwise) nz = 2048 % Streamwise domain size Lx = 8pi % Spanwise domain size Lz = 3pi % B-Spline order n = 7 % Kinematic Viscosity nu = 5.00000e-05 % Channel half width delta = 1.000 % Avg streamwise vel U_mean = 1.000 % Friction vel u_tau = 5.00256e-02 % Re_tau Re_tau = 1000.512 % % % All data are normalized by u_tau and nu (signified with a ^+) except % for y/delta % % This file was last updated on 6/15/2015. % % % % 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 4.728379819895129e-15 1.775048916045893e-04 2.918615760067545e-21 0.000000000000000e+00 1.775050068201044e-04 2.510299065644616e-04 2.764315143122253e-06 2.765729439839074e-03 5.478172319386003e-18 2.207696731234146e-14 1.771043652562012e-04 1.367581100013899e-07 0.000000000000000e+00 1.772379120162363e-04 2.505578822377331e-04 1.382146873540879e-05 1.382854016425900e-02 6.847623877538235e-16 2.742077604258501e-12 1.755105369429829e-04 6.811885702013313e-07 0.000000000000000e+00 1.761750436220642e-04 2.486806357381261e-04 3.869966314673512e-05 3.871946291763557e-02 1.503205203387311e-14 5.946460878561281e-11 1.719733324323315e-04 1.891072928911452e-06 0.000000000000000e+00 1.738149515312053e-04 2.445200208582161e-04 8.292656586705860e-05 8.296899329076779e-02 1.479216368717471e-13 5.730656227983436e-10 1.658448159301076e-04 3.991312893077190e-06 0.000000000000000e+00 1.697218606235031e-04 2.373308735148757e-04 1.520290955829839e-04 1.521068776879944e-01 9.116573251479192e-13 3.423903704575342e-09 1.566560561369148e-04 7.146984473754061e-06 0.000000000000000e+00 1.635737314680005e-04 2.266022174417738e-04 2.515332082846378e-04 2.516618993246350e-01 5.287411837744602e-12 1.487668823001210e-08 1.442031544999087e-04 1.143370581087312e-05 0.000000000000000e+00 1.552116148791092e-04 2.121695666465644e-04 3.869636834078483e-04 3.871616642597545e-01 1.947952988706937e-11 5.138466453880541e-08 1.286191112992426e-04 1.681233524903486e-05 0.000000000000000e+00 1.446772826496807e-04 1.943117319237638e-04 5.610795948808311e-04 5.613666580367414e-01 6.015221478190794e-11 1.468521133895648e-07 1.106730764127087e-04 2.302420128662821e-05 0.000000000000000e+00 1.324088613540870e-04 1.740998903450921e-04 7.738742043458258e-04 7.742701388503129e-01 1.598698327681075e-10 3.565708490131273e-07 1.119692192757603e-04 2.966586113516632e-05 0.000000000000000e+00 1.191114500481781e-04 1.661470254247418e-04 1.025339276563786e-03 1.025863867248057e+00 3.760373160234975e-10 7.561144639878861e-07 8.956496140244344e-05 3.635967472101901e-05 0.000000000000000e+00 1.054688655233773e-04 1.430669827767811e-04 1.315465079733014e-03 1.316138106449228e+00 8.000429295353572e-10 1.432832096330231e-06 8.888430684432947e-05 4.279344551007431e-05 0.000000000000000e+00 1.119889559327273e-04 1.492490477061053e-04 1.644240385865192e-03 1.645081622720975e+00 1.866959040834246e-09 2.472933852076130e-06 6.982452668745099e-05 4.874515806147919e-05 0.000000000000000e+00 9.718283642414055e-05 1.292368912591474e-04 2.011652471220593e-03 2.012681685813766e+00 3.461888941139672e-09 3.946285256319340e-06 5.577892032008759e-05 5.408874242863481e-05 0.000000000000000e+00 8.372755477937715e-05 1.142924171510446e-04 2.417687116800127e-03 2.418924069453697e+00 6.020922630969067e-09 5.885972688470180e-06 2.774775140148169e-05 5.878126750444423e-05 0.000000000000000e+00 7.227308982287669e-05 9.738182243393266e-05 2.862328608895792e-03 2.863793051893218e+00 9.841926434845820e-09 8.266125766723570e-06 2.104172662647464e-05 6.283664848167302e-05 0.000000000000000e+00 6.147961807890025e-05 9.077043033397427e-05 3.345559739698523e-03 3.347271416519292e+00 1.513063843678930e-08 1.099953489120805e-05 2.274757573551757e-05 6.629427683101922e-05 0.000000000000000e+00 5.633719951058701e-05 9.059389266305829e-05 3.867361807964542e-03 3.869340452520091e+00 2.189566575566718e-08 1.396783307592479e-05 2.446616740247026e-05 6.919188928848532e-05 0.000000000000000e+00 5.325805880805986e-05 9.174765696700677e-05 4.427714619738898e-03 4.429979955608904e+00 2.988696803862371e-08 1.704986030965016e-05 2.528963398135767e-05 7.155049946680708e-05 0.000000000000000e+00 5.177912505032453e-05 9.343883551097579e-05 5.026596489136725e-03 5.029168228805792e+00 3.862857463422758e-08 2.011061982151509e-05 2.517762057876821e-05 7.337542437083664e-05 0.000000000000000e+00 5.141955782262457e-05 9.521698865252621e-05 5.663984239183018e-03 5.666882083277795e+00 4.754523738311597e-08 2.299342197912853e-05 2.439018651737955e-05 7.467098699675803e-05 0.000000000000000e+00 5.147513456830803e-05 9.669036503761820e-05 6.339853202709356e-03 6.343096839236119e+00 4.179044915954886e-08 2.557168814267263e-05 2.324088362166534e-05 7.545938238583186e-05 0.000000000000000e+00 5.176525318657768e-05 9.781519043556179e-05 7.054177223308256e-03 7.057786326890970e+00 4.889991666854084e-08 2.780634899607950e-05 2.207457133667333e-05 7.579180507958643e-05 0.000000000000000e+00 5.217127900553925e-05 9.862414615948441e-05 7.806928656345802e-03 7.810922887464708e+00 5.499850438668376e-08 2.974434297393006e-05 2.118511365910576e-05 7.574481414619505e-05 0.000000000000000e+00 5.267354358670474e-05 9.922357113386723e-05 8.598078370031459e-03 8.602477374262202e+00 5.956535000770827e-08 4.156258603660839e-05 2.056773600522114e-05 9.190782804577176e-05 0.000000000000000e+00 5.328097751455712e-05 1.159154661443406e-04 9.427595746545392e-03 9.432419153798731e+00 6.220288692253586e-08 4.666014232548327e-05 1.997864511677063e-05 9.228361824416360e-05 0.000000000000000e+00 5.398013992222844e-05 1.183488095165864e-04 1.029544868322330e-02 1.030071610698542e+01 6.272421690768860e-08 4.943570099654260e-05 1.934137474022751e-05 9.678668004149865e-05 0.000000000000000e+00 5.466411476776604e-05 1.231820121648765e-04 1.120160359379907e-02 1.120733463037254e+01 6.120589271240940e-08 4.974981887381138e-05 1.885881942681586e-05 9.645261395703876e-05 0.000000000000000e+00 5.514080583868175e-05 1.231840838014244e-04 1.214602540970411e-02 1.215223963744949e+01 5.795085510386691e-08 3.856871294298092e-05 1.867372850265242e-05 9.614098046667875e-05 0.000000000000000e+00 5.526154892494452e-05 1.188830687156451e-04 1.312867758142522e-02 1.313539456000337e+01 5.339634892226067e-08 3.963412255402479e-05 1.851723354874533e-05 9.505286358616616e-05 0.000000000000000e+00 5.504457732400807e-05 1.182315813511996e-04 1.414952207991849e-02 1.415676134953360e+01 6.835126929475608e-08 3.991514266685073e-05 1.797682054621576e-05 9.313959194527379e-05 0.000000000000000e+00 5.463485353255946e-05 1.165175530605507e-04 1.520851939808121e-02 1.521630047872461e+01 6.112668757106686e-08 3.967371416062548e-05 1.716876421481327e-05 9.040610086188409e-05 0.000000000000000e+00 5.415052543287234e-05 1.139048562359837e-04 1.630562855228079e-02 1.631397094297549e+01 5.344464849592166e-08 3.927715732110581e-05 2.112956413768045e-05 8.898745492765912e-05 0.000000000000000e+00 5.355469904932803e-05 1.130310990346106e-04 1.744080708394102e-02 1.744973026198709e+01 4.562794632327413e-08 3.893166298795600e-05 2.289513270538785e-05 8.690610563184137e-05 0.000000000000000e+00 5.273233366481773e-05 1.112350384381874e-04 1.861401106118499e-02 1.862353448140579e+01 3.777111897024563e-08 3.875106790162089e-05 1.618841312797779e-05 8.431406360134936e-05 0.000000000000000e+00 5.169326817448338e-05 1.074465760520408e-04 1.982519508053548e-02 1.983533817452478e+01 2.984024936407071e-08 3.870901052703514e-05 1.584760637018831e-05 8.128104970577363e-05 0.000000000000000e+00 5.054674086091547e-05 1.044562926157157e-04 2.107431226867196e-02 2.108509444404186e+01 2.166505133879209e-08 3.880561929265086e-05 1.530365666170058e-05 7.781502198411264e-05 0.000000000000000e+00 4.939668614950723e-05 1.011696037069468e-04 2.236131428424448e-02 2.237275492387440e+01 1.297970014246888e-08 3.924487050482248e-05 1.483992149969275e-05 7.403053665413004e-05 0.000000000000000e+00 4.824081574417764e-05 9.781656281270638e-05 2.368615131974483e-02 2.369826978103134e+01 3.165132294642381e-09 4.014215713035760e-05 1.435471098429076e-05 7.027789247384073e-05 0.000000000000000e+00 4.692429731852881e-05 9.464841449248534e-05 2.504877210343381e-02 2.506158771754150e+01 5.553762162760835e-09 4.116484577330582e-05 1.380492641457795e-05 6.705100766038524e-05 0.000000000000000e+00 4.535581571546030e-05 9.185917591174044e-05 2.644912390132592e-02 2.646265597243926e+01 1.397477672028942e-08 4.219383708803141e-05 1.954821244671342e-05 5.780147300134877e-05 0.000000000000000e+00 4.362586247524562e-05 8.606206394923525e-05 2.788715251922946e-02 2.790142032380578e+01 2.043490986720175e-08 4.347492820152055e-05 1.869294313946464e-05 5.705472352545033e-05 0.000000000000000e+00 4.186769121705263e-05 8.513307798582292e-05 2.936280230484456e-02 2.937782509086797e+01 2.386535229570452e-08 4.479431164804053e-05 1.261066626194448e-05 5.635806700952112e-05 0.000000000000000e+00 4.017442998644594e-05 8.340129717775668e-05 3.087601614991642e-02 3.089181313615294e+01 2.390381396356985e-08 4.566096464883380e-05 1.169470659205152e-05 5.557069514125915e-05 0.000000000000000e+00 3.851936440549902e-05 8.242289741943639e-05 3.242673549244579e-02 3.244332586769960e+01 2.157963873370016e-08 4.634056522146786e-05 1.173160591081322e-05 5.457441406229436e-05 0.000000000000000e+00 3.684538931317886e-05 8.136970205091709e-05 3.401490031895527e-02 3.403230324132603e+01 1.155623289547932e-08 4.659556311854018e-05 1.190535330682177e-05 5.332009468805916e-05 0.000000000000000e+00 3.535283438675157e-05 8.003586364850018e-05 3.564044916681175e-02 3.565868376295324e+01 1.224294112757631e-08 4.593760552317623e-05 1.149921653253493e-05 5.184287511631722e-05 0.000000000000000e+00 3.419946667677485e-05 7.810110724731487e-05 3.730331912660501e-02 3.732240449098487e+01 1.385936034122114e-08 4.478323499273595e-05 1.041366562739692e-05 5.026682252170816e-05 0.000000000000000e+00 3.687427266217453e-05 7.746255993116290e-05 3.900344584458260e-02 3.902340103874341e+01 1.580080380234253e-08 4.365305039804977e-05 9.920186055043049e-06 4.874117422550344e-05 0.000000000000000e+00 3.697197177819457e-05 7.580651629072030e-05 4.074076352514011e-02 4.076160757696167e+01 1.731482339000103e-08 4.271491189184933e-05 1.022302323621898e-05 5.478486880545580e-05 0.000000000000000e+00 3.664094769726964e-05 7.920236802018539e-05 4.251520493336736e-02 4.253695683633031e+01 1.812389584181816e-08 5.092426813577343e-05 9.973162742843276e-06 5.546343494487081e-05 0.000000000000000e+00 3.598069809809768e-05 8.404492037146179e-05 4.432670139765083e-02 4.434938011010160e+01 1.869798218410195e-08 5.392560197111767e-05 9.279627401318700e-06 5.616165242258042e-05 0.000000000000000e+00 3.557324420085524e-05 8.610266713684116e-05 4.617518281233113e-02 4.619880725674824e+01 1.939619556794989e-08 5.414421736234992e-05 8.676948648198759e-06 5.633821593277843e-05 0.000000000000000e+00 3.487367671414002e-05 8.600612762988458e-05 4.806057764041582e-02 4.808516670267758e+01 1.967154008413942e-08 5.029782148694745e-05 1.271045991950329e-05 5.546703166689316e-05 0.000000000000000e+00 3.343969746388923e-05 8.298332358420089e-05 4.998281291634821e-02 5.000838544500180e+01 1.823416048230023e-08 3.909560146918436e-05 1.294731982368763e-05 5.359064091523218e-05 0.000000000000000e+00 2.826724550714455e-05 7.326044935437738e-05 5.194181424883126e-02 5.196838905436334e+01 1.430471945972739e-08 3.695097389941841e-05 1.133593109339452e-05 5.142552607945216e-05 0.000000000000000e+00 2.675040600160766e-05 6.967099083760722e-05 5.393750582370627e-02 5.396510167781492e+01 9.136375290029068e-09 3.558506638592884e-05 1.151648269126216e-05 4.970937402132920e-05 0.000000000000000e+00 2.532132712694596e-05 6.716485598737382e-05 5.596981040688709e-02 5.599844604175545e+01 5.441398685289957e-09 3.621960970504294e-05 1.068116728834512e-05 4.227119601136656e-05 0.000000000000000e+00 2.413735383271967e-05 6.160692618296544e-05 5.803864934734893e-02 5.806834345492015e+01 6.610332034928046e-09 3.779133201362576e-05 1.086927812014621e-05 4.196578028838863e-05 0.000000000000000e+00 2.325900757555558e-05 6.203574916551531e-05 6.014394258017242e-02 6.017471381142636e+01 1.148596458513574e-08 3.956063190423783e-05 7.539275417892963e-06 4.149410888857751e-05 0.000000000000000e+00 2.243821558304713e-05 6.202514807257822e-05 6.228560862964228e-02 6.231747559387363e+01 1.795024109400554e-08 4.168482237360344e-05 9.183995806795586e-06 4.790874337897593e-05 0.000000000000000e+00 2.177777390114241e-05 6.776053162240621e-05 6.446356461239977e-02 6.449654587649793e+01 2.492706442582018e-08 4.229953010413703e-05 7.703117297115980e-06 4.731178100996390e-05 0.000000000000000e+00 2.125393571597662e-05 6.737004742640539e-05 6.667772624065105e-02 6.671184032838154e+01 3.159150338830057e-08 4.104231684911417e-05 5.689111899213666e-06 4.598626871451732e-05 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