% Filename : LM_Couette_R0220_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_R0220_100PI_RSTE_k_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 = 6144 % Grid (wall-normal) ny = 192 % Grid (spanwise) nz = 768 % Streamwise domain size Lx = 100pi % 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 = 5.48697e-02 % Re_tau Re_tau = 219.479 % % % 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 8.168707845480609e-13 2.492527037410131e-03 0.000000000000000e+00 1.075393359773746e-14 2.492519330448189e-03 3.524960091246199e-03 2.059765673623204e-05 4.520751555384802e-03 2.492048891354148e-13 2.531638612725611e-09 2.492564184539594e-03 0.000000000000000e+00 2.451620420679858e-07 2.492507187844601e-03 3.524977795335548e-03 1.029823439926414e-04 2.260245414047382e-02 3.121493739100916e-11 6.327509978227110e-08 2.492724792926523e-03 0.000000000000000e+00 1.215799418289793e-06 2.492452812083148e-03 3.525053461676683e-03 2.883256182004690e-04 6.328139669617082e-02 6.884631625218988e-10 4.957382946950086e-07 2.493063349451999e-03 0.000000000000000e+00 3.342095192882780e-06 2.492318675898754e-03 3.525201795862685e-03 6.177693459122890e-04 1.355873518607302e-01 6.830570064531100e-09 1.716573430709151e-06 2.493701587447186e-03 0.000000000000000e+00 6.930908821348412e-06 2.492044721782871e-03 3.525474129416198e-03 1.132413839837088e-03 2.485409720794912e-01 3.556396410702985e-08 5.789502017066910e-06 2.495379438838674e-03 0.000000000000000e+00 1.207312359767846e-05 2.491569453976939e-03 3.526367652374050e-03 1.873306006858533e-03 4.111511883446703e-01 1.643106971590426e-07 1.587914926885939e-05 2.429072943173532e-03 0.000000000000000e+00 1.855938346009166e-05 2.490787181245399e-03 3.479312857070291e-03 2.881427511453483e-03 6.324126123151812e-01 6.129710394045628e-07 3.743669439258098e-05 2.457748665916787e-03 0.000000000000000e+00 2.584335369456898e-05 2.489318328278775e-03 3.498642708802966e-03 4.177085301188321e-03 9.167821910103595e-01 1.917327376582447e-06 7.737907328547044e-05 2.496169048006473e-03 0.000000000000000e+00 3.299623166833350e-05 2.486067860328348e-03 3.524270056558946e-03 5.759905750861605e-03 1.264177921572687e+00 5.144379933930408e-06 1.414366386704430e-04 2.542816237476077e-03 0.000000000000000e+00 3.903677553036205e-05 2.478408765003784e-03 3.554278816063899e-03 7.629432426981109e-03 1.674499626470013e+00 1.211753766448821e-05 2.127388066833147e-04 2.590981558806424e-03 0.000000000000000e+00 4.329936990200809e-05 2.460759796918738e-03 3.580445923017458e-03 9.785126219384543e-03 2.147628982383531e+00 2.548007514058664e-05 3.154450240668071e-04 2.623934301889873e-03 0.000000000000000e+00 4.479270930947954e-05 2.422561057676507e-03 3.586148929553027e-03 1.222636549670120e-02 2.683429554328328e+00 4.609673855633086e-05 4.190097366454014e-04 2.614539916413805e-03 0.000000000000000e+00 4.507854012662076e-05 2.348083229512090e-03 3.540346740538522e-03 1.495244628560999e-02 3.281746834996754e+00 8.015157277658148e-05 4.970413228550333e-04 2.535212717035736e-03 0.000000000000000e+00 4.369362107258265e-05 2.226692449053717e-03 3.412656162705238e-03 1.796258247384253e-02 3.942408289313313e+00 1.274133656381620e-04 5.239297510715606e-04 2.460257076269876e-03 0.000000000000000e+00 4.098710900283991e-05 2.040131078266433e-03 3.242412460158785e-03 2.125590603687155e-02 4.665223404187998e+00 1.860108498680727e-04 4.867122563572489e-04 2.136321534309439e-03 0.000000000000000e+00 3.784712037495011e-05 1.890714295941804e-03 2.901331520548240e-03 2.483146728822128e-02 5.449983743454135e+00 2.506843977500520e-04 3.936653277963592e-04 1.838815100844353e-03 0.000000000000000e+00 3.346521564837704e-05 1.723593514054621e-03 2.564685766783633e-03 2.868823515332564e-02 6.296463007974501e+00 3.138116285566583e-04 2.905683899891408e-04 1.505205460223336e-03 0.000000000000000e+00 2.857802266262629e-05 1.547495625615769e-03 2.202572581333179e-03 3.282509746685636e-02 7.204417100898564e+00 3.675211543163693e-04 1.887548947737729e-04 1.073312219937249e-03 0.000000000000000e+00 2.349561943873537e-05 1.349729836108995e-03 1.775683524935129e-03 3.724086129343462e-02 8.173584198051939e+00 4.059135460660051e-04 1.444117543640974e-04 7.210234441748868e-04 0.000000000000000e+00 1.889762627340266e-05 1.126084473552737e-03 1.407970741396688e-03 4.193425327163525e-02 9.203684823438048e+00 4.263955595705348e-04 2.273547012857779e-04 4.308378262138988e-04 0.000000000000000e+00 1.529692250403773e-05 9.357406758698650e-04 1.141882811509188e-03 4.690391998118171e-02 1.029442192982970e+01 4.297083682765580e-04 4.461366878594401e-04 2.145636733389310e-04 0.000000000000000e+00 1.203453288826433e-05 7.956730965612369e-04 1.035497336478875e-03 5.214842833322808e-02 1.144548098442774e+01 4.189293355353887e-04 5.559339518843685e-04 1.205384046027383e-04 0.000000000000000e+00 1.028048648771868e-05 6.358788528194920e-04 9.556525047256216e-04 5.766626598361557e-02 1.265653005956216e+01 4.059107758276553e-04 4.704607033989889e-04 8.314792585550990e-05 0.000000000000000e+00 9.752007981152290e-06 5.087846175243703e-04 8.135852917782535e-04 6.345584176898234e-02 1.392721992840900e+01 3.791572396384829e-04 4.295686369211381e-04 8.330450522879887e-05 0.000000000000000e+00 9.851520897517016e-06 4.118725925915653e-04 7.176987647019234e-04 6.951548616560277e-02 1.525718416569592e+01 3.489385443858537e-04 4.214978136359084e-04 8.184579930309339e-05 0.000000000000000e+00 9.685287793394824e-06 3.392504670113004e-04 6.569182179466012e-04 7.584345177082374e-02 1.664603925336729e+01 3.177619333522304e-04 4.447147333396491e-04 9.241223273114712e-05 0.000000000000000e+00 9.334927919362180e-06 3.060652278868187e-04 6.412847042097121e-04 8.243791380695809e-02 1.809338469117819e+01 2.900193684683982e-04 4.081204494855494e-04 6.886855435121285e-05 0.000000000000000e+00 9.129566140101496e-06 2.848892209830114e-04 5.888962548862718e-04 8.929697064749043e-02 1.959880311218551e+01 2.612048306360222e-04 3.674819362268109e-04 6.047035848979574e-05 0.000000000000000e+00 9.014526853489172e-06 2.312868586333002e-04 5.199552292288866e-04 9.641864436544412e-02 2.116186040310295e+01 2.347523574374632e-04 3.254177931057403e-04 5.408106527335464e-05 0.000000000000000e+00 8.758036551287106e-06 2.027328041952317e-04 4.632221371576849e-04 1.038008813037503e-01 2.278210582948498e+01 2.109372561130537e-04 3.024237889699606e-04 4.642382974744533e-05 0.000000000000000e+00 8.448834038884827e-06 2.181363235106128e-04 4.414091172007249e-04 1.114415526674554e-01 2.445907216570389e+01 1.897942592522853e-04 2.732403691360874e-04 4.304674740300711e-05 0.000000000000000e+00 8.219024071251691e-06 1.910621986942845e-04 3.970132498212573e-04 1.193384551375956e-01 2.619227582968237e+01 1.711780316191416e-04 2.346951034592041e-04 3.475286255183862e-05 0.000000000000000e+00 8.176760985766790e-06 1.682395459514292e-04 3.489586175319549e-04 1.274893115065617e-01 2.798121702234264e+01 1.548411406548716e-04 1.985482069204891e-04 2.868172242572856e-05 0.000000000000000e+00 8.306170685197709e-06 1.484060643896725e-04 3.060427778740191e-04 1.358917713347718e-01 2.982537987173227e+01 1.405210051426272e-04 1.668836584662333e-04 2.301015378847047e-05 0.000000000000000e+00 8.502002371816159e-06 1.331031114801001e-04 2.703095459868000e-04 1.445434116284596e-01 3.172423258178446e+01 1.279864616239157e-04 1.451311060398552e-04 1.949638200960259e-05 0.000000000000000e+00 8.255468362301677e-06 1.267698530313391e-04 2.462755149040872e-04 1.534417375383876e-01 3.367722758567084e+01 1.163410447871567e-04 1.232108579459779e-04 1.739565762738698e-05 0.000000000000000e+00 8.893274205163686e-06 1.139905776266303e-04 2.197351805878521e-04 1.625841830792791e-01 3.568380170370165e+01 1.069357172228438e-04 1.051862639733025e-04 1.239202283118468e-05 0.000000000000000e+00 9.071317149920326e-06 1.008943040676542e-04 1.970879168743584e-04 1.719681118697645e-01 3.774337630572830e+01 9.872797331884980e-05 1.094389698652565e-04 1.010404471918667e-05 0.000000000000000e+00 9.190749045230757e-06 8.050849519897760e-05 1.840689022489610e-04 1.815908178926267e-01 3.985535747800134e+01 9.157429164759677e-05 9.263243467572004e-05 8.090241161697996e-06 0.000000000000000e+00 9.244410432914245e-06 7.229644933253894e-05 1.655047074820369e-04 1.914495262751283e-01 4.201913619443570e+01 8.534369020490877e-05 8.046106281855583e-05 6.519831102530345e-06 0.000000000000000e+00 9.254193521668669e-06 5.965887374496998e-05 1.483605552789065e-04 2.015413940891936e-01 4.423408849223378e+01 7.991965611062570e-05 5.403670322707731e-05 5.924297246598872e-06 0.000000000000000e+00 9.228113965311899e-06 5.525233560016932e-05 1.291383386576632e-04 2.118635111712157e-01 4.649957565181599e+01 7.519584957123864e-05 4.411397990366350e-05 5.415313042718803e-06 0.000000000000000e+00 9.095182646782676e-06 5.149056568328392e-05 1.184599028387388e-04 2.224129009612524e-01 4.881494438100636e+01 7.105618111954645e-05 3.103792494163386e-05 4.751987678702181e-06 0.000000000000000e+00 8.819753596528292e-06 4.829951638225754e-05 1.086876370129931e-04 2.331865213613683e-01 5.117952700342067e+01 6.737686447859773e-05 2.991399411007583e-05 4.043798771104173e-06 0.000000000000000e+00 8.463326836399252e-06 4.519096914485309e-05 1.031882995986391e-04 2.441812656128760e-01 5.359264165100237e+01 6.408137343406782e-05 2.853406707987109e-05 3.701753274364084e-06 0.000000000000000e+00 8.147448785268749e-06 4.259608859072629e-05 9.819371820983362e-05 2.553939631922236e-01 5.605359246065102e+01 6.113465065236662e-05 2.826398353433283e-05 3.407539563060455e-06 0.000000000000000e+00 7.546371442366656e-06 4.011222063277337e-05 9.368221610882931e-05 2.668213807252695e-01 5.856166977488628e+01 5.900598238441526e-05 2.623153935717221e-05 3.342087773332816e-06 0.000000000000000e+00 8.407666168937599e-06 3.796046027725495e-05 8.991897210248926e-05 2.784602229196816e-01 6.111615034648999e+01 5.665969153961786e-05 2.548818677111210e-05 3.005815162464178e-06 0.000000000000000e+00 8.332605867895248e-06 3.589977057345613e-05 8.597016411485387e-05 2.903071335151914e-01 6.371629754706679e+01 5.411615696523568e-05 2.449977519472736e-05 2.772063667121161e-06 0.000000000000000e+00 8.509343662686395e-06 3.431312142554768e-05 8.235488081370793e-05 3.023586962514291e-01 6.636136157946363e+01 5.225918079578159e-05 2.365926238129812e-05 2.615986885638760e-06 0.000000000000000e+00 8.469347251648563e-06 3.289790882074502e-05 7.933719796768545e-05 3.146114358530614e-01 6.905057969398675e+01 5.057104683968295e-05 2.222198499976454e-05 2.461166854574267e-06 0.000000000000000e+00 7.705461805204562e-06 3.165837546245593e-05 7.645326484268765e-05 3.270618190319470e-01 7.178317640835358e+01 4.901795503940330e-05 2.144232064359041e-05 2.517184845172204e-06 0.000000000000000e+00 7.727685106470344e-06 3.046422050074294e-05 7.386596371761434e-05 3.397062555060204e-01 7.455836373131645e+01 4.756791149951026e-05 2.085501003418197e-05 2.461053004181439e-06 0.000000000000000e+00 7.702756156074901e-06 2.954282657282178e-05 7.157367449729785e-05 3.525410990346119e-01 7.737534138989331e+01 4.621561118893019e-05 2.035839712776388e-05 2.398401834916400e-06 0.000000000000000e+00 7.976522946456713e-06 2.866116637415501e-05 6.944827458788715e-05 3.655626484699042e-01 8.023329706014039e+01 4.653522405478234e-05 1.990252842653191e-05 2.345846616700973e-06 0.000000000000000e+00 7.651424612414335e-06 2.787987225162095e-05 6.823589029933734e-05 3.787671488242206e-01 8.313140660139955e+01 4.554177713569967e-05 1.965522143995388e-05 2.125117471098673e-06 0.000000000000000e+00 8.171174436902511e-06 2.702648042553842e-05 6.675320196485738e-05 3.921507923528420e-01 8.606883429395363e+01 4.460775928803716e-05 1.961230295995490e-05 1.981920045805534e-06 0.000000000000000e+00 8.075858510534472e-06 2.642738667342334e-05 6.548813259707855e-05 4.057097196520344e-01 8.904473308002042e+01 4.374954558710938e-05 1.944323614196465e-05 2.046243554541352e-06 0.000000000000000e+00 7.619106241547360e-06 2.609732643695942e-05 6.423488988397049e-05 4.194400207719746e-01 9.205824480801644e+01 4.259463726576760e-05 1.896432195611558e-05 1.948718604431987e-06 0.000000000000000e+00 7.344840678234939e-06 2.583164850630298e-05 6.313185043386000e-05 4.333377363442519e-01 9.510850048001971e+01 4.202170476924657e-05 1.866085126900101e-05 1.827838000280635e-06 0.000000000000000e+00 6.985005512490381e-06 2.555487884749662e-05 6.228749332988093e-05 4.473988587236192e-01 9.819462050236014e+01 4.145472636290481e-05 1.850930658514605e-05 1.740160594743489e-06 0.000000000000000e+00 6.957657218924087e-06 2.543687192005209e-05 6.167859976432879e-05 4.616193331436672e-01 1.013157149392656e+02 4.090031984490710e-05 1.855098863092723e-05 1.663495799187577e-06 0.000000000000000e+00 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