% Filename : LM_Channel_0180_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_Channel_0180_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 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(2014), % Direct numerical simulation of turbulent channel flow up to Re_tau = 5200, % J. Fluid Mech. (Submitted) % % NOTE: before publication, please check % http://turbulence.ices.utexas.edu for any updates to the data and an % updated citation % % The submitted version of paper can be found at the arXiv. http://arxiv.org/abs/1410.7809 % % % % 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 = 1024 % Grid (wall-normal) ny = 192 % Grid (spanwise) nz = 512 % Streamwise domain size Lx = 8pi % Spanwise domain size Lz = 3pi % B-Spline order n = 7 % Kinematic Viscosity nu = 3.50000e-04 % Channel half width delta = 1.000 % Avg streamwise vel U_mean = 1.000 % Friction vel u_tau = 6.37309e-02 % Re_tau Re_tau = 182.088 % % % All data are normalized by u_tau and nu (signified with a ^+) except % for y/delta % % This file was last updated on 9/25/2014. % % % % 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 %-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 1.110223024625157e-16 2.021587241307348e-14 0.000000000000000e+00 9.501752936875253e-14 8.379732506589856e-04 0.000000000000000e+00 2.787695056503742e-15 8.379724473394187e-04 1.185072567955230e-03 5.791461380333374e-05 1.054557883895367e-02 7.260142350420610e-12 2.046637476121596e-11 8.360133947808612e-04 0.000000000000000e+00 1.256352371532119e-06 8.366648271549492e-04 1.182764003696272e-03 2.141030191135096e-04 3.898567424427084e-02 3.672067029056416e-10 1.034959107817528e-09 8.308784236402492e-04 0.000000000000000e+00 4.587874479968285e-06 8.332229146661761e-04 1.176722672548760e-03 5.088966186284072e-04 9.266416643727822e-02 4.940959468784276e-09 1.391253245996141e-08 8.217313496131565e-04 0.000000000000000e+00 1.065484642971697e-05 8.270389985873929e-04 1.165994580880854e-03 9.825876412230539e-04 1.789178025409327e-01 3.568256632610679e-08 1.003171896603357e-07 8.083438368612723e-04 0.000000000000000e+00 1.982006573640453e-05 8.178725471508878e-04 1.150392666057707e-03 1.675417754204322e-03 3.050741230036028e-01 1.777256819014150e-07 4.983923860328158e-07 7.912130212347267e-04 0.000000000000000e+00 3.200377042580896e-05 8.059251196298854e-04 1.130634621846388e-03 2.627566689856309e-03 4.784493906250172e-01 6.897170522568645e-07 1.926476027894630e-06 7.713433043125020e-04 0.000000000000000e+00 4.657950458557827e-05 7.918130741323182e-04 1.108118599198637e-03 3.879140889489485e-03 7.063465227694476e-01 2.234454885615067e-06 6.187514844595289e-06 7.495224191720980e-04 0.000000000000000e+00 6.236947413936113e-05 7.762645913739400e-04 1.084077659793328e-03 5.412247554401284e-03 9.855074485118559e-01 6.104108354226152e-06 1.662828924426595e-05 7.246769595880614e-04 0.000000000000000e+00 7.730666466688788e-05 7.600929894611261e-04 1.058339189373984e-03 7.226453384460596e-03 1.315853268928577e+00 1.456343117369227e-05 3.852839308997371e-05 6.913051248701551e-04 0.000000000000000e+00 8.996069403789298e-05 7.425922705185120e-04 1.026858165824243e-03 9.321245632810338e-03 1.697290618769450e+00 3.111102465703876e-05 7.845592385866788e-05 6.413604024978046e-04 0.000000000000000e+00 9.937053943395221e-05 7.213357285376134e-04 9.839869103389382e-04 1.169603225078431e-02 2.129711692845490e+00 6.051600442870264e-05 1.420511392544490e-04 5.681150261810517e-04 0.000000000000000e+00 1.053124338990268e-04 6.933071133709743e-04 9.282486229587528e-04 1.435014205523744e-02 2.612994276497792e+00 1.083863200602368e-04 2.304786428509577e-04 4.708424494459552e-04 0.000000000000000e+00 1.077072373996472e-04 6.562754148740190e-04 8.689580948889349e-04 1.728282491824162e-02 3.147001780138933e+00 1.800865619021848e-04 3.372850102208389e-04 3.675032838023763e-04 0.000000000000000e+00 1.068816585309988e-04 6.102878496924804e-04 8.406859389566753e-04 2.049325197909280e-02 3.731583277857002e+00 2.790553295192737e-04 4.481399483916082e-04 3.158042601553588e-04 0.000000000000000e+00 1.031779111621919e-04 5.580758901265111e-04 8.635472005459714e-04 2.398051587857197e-02 4.366573550071815e+00 4.049316512554941e-04 5.446053927735321e-04 3.468868035437651e-04 0.000000000000000e+00 9.680613496452753e-05 5.064774311327888e-04 9.465501150438479e-04 2.774363101539001e-02 5.051793130230531e+00 5.521922819580333e-04 6.098378072550347e-04 4.183605784879524e-04 0.000000000000000e+00 8.795100179710301e-05 4.563459163201053e-04 1.058478414656906e-03 3.178153382474769e-02 5.787048355530207e+00 7.099944841862992e-04 6.319394033885075e-04 4.769701288009038e-04 0.000000000000000e+00 7.712829060724584e-05 4.143947213470193e-04 1.169952477707526e-03 3.609308307892944e-02 6.572131421652430e+00 8.635574745680941e-04 6.042439125441887e-04 5.008552006625755e-04 0.000000000000000e+00 7.090413877528026e-05 3.676392369321863e-04 1.251717679542728e-03 4.067706020984729e-02 7.406820441494814e+00 9.968897448482206e-04 5.320813390366336e-04 4.842187129255616e-04 0.000000000000000e+00 6.177859230753364e-05 3.477966525528958e-04 1.301868879279472e-03 4.553216965344320e-02 8.290879507882680e+00 1.096211525493377e-03 4.481844696258509e-04 4.333679569959836e-04 0.000000000000000e+00 5.655852554636048e-05 3.522743939455088e-04 1.333966338873747e-03 5.065703921585307e-02 9.224058760243272e+00 1.153123692940045e-03 3.960894538630548e-04 3.656147292807386e-04 0.000000000000000e+00 5.017885838224471e-05 3.532330623359923e-04 1.346664241460638e-03 5.605022046122787e-02 1.020609445522346e+01 1.166433580461691e-03 3.875333176586496e-04 3.021987680728671e-04 0.000000000000000e+00 5.436976901712852e-05 3.347430604046791e-04 1.336320052354837e-03 6.171018912110404e-02 1.123670904123138e+01 1.141770032968645e-03 5.482619469371327e-04 2.550331379592213e-04 0.000000000000000e+00 5.970835810849545e-05 3.276617607596597e-04 1.353930692694687e-03 6.763534552520467e-02 1.231561123688027e+01 1.089074346848183e-03 4.226207742119033e-04 2.256375481298962e-04 0.000000000000000e+00 7.898008771511625e-05 3.150871512473450e-04 1.255832385029251e-03 7.382401505355363e-02 1.344249611331326e+01 1.019282767975995e-03 4.251208753956482e-04 2.087933272963307e-04 0.000000000000000e+00 8.578055925242168e-05 2.985096460941532e-04 1.191541795253115e-03 8.027444860977029e-02 1.461704518038482e+01 9.417526714652985e-04 4.092259043248840e-04 1.935734774012716e-04 0.000000000000000e+00 8.977994009752083e-05 2.806373083137617e-04 1.112504093220916e-03 8.698482311541555e-02 1.583892647667542e+01 8.630775762839068e-04 3.816354759715875e-04 1.729889891000761e-04 0.000000000000000e+00 9.069166674844187e-05 2.630768993995381e-04 1.027020521144538e-03 9.395324202524546e-02 1.710779466331326e+01 7.871168275829022e-04 3.105286495593837e-04 1.515360502338513e-04 0.000000000000000e+00 8.843522901508844e-05 2.466947842377973e-04 9.309488547787951e-04 1.011777358632303e-01 1.842329112157711e+01 7.157514241683915e-04 3.015572246944048e-04 1.312583178614814e-04 0.000000000000000e+00 7.134408812638480e-05 2.311673495804568e-04 8.587249633009217e-04 1.086562627791852e-01 1.978504405425227e+01 6.497744327875835e-04 2.936739444567572e-04 1.125214536147685e-04 0.000000000000000e+00 7.087154877543733e-05 2.154929797009131e-04 7.939027452592282e-04 1.163867091258549e-01 2.119266859071105e+01 5.895066531293049e-04 2.862774693273402e-04 9.816687660960623e-05 0.000000000000000e+00 7.086265592104365e-05 2.018985995657136e-04 7.346888553538964e-04 1.243668900562930e-01 2.264576689568853e+01 5.349854736986908e-04 2.772861304187626e-04 9.476895963110449e-05 0.000000000000000e+00 7.082262874108412e-05 1.900580804617703e-04 6.836413354650552e-04 1.325945501413611e-01 2.414392828172205e+01 4.859869204225726e-04 2.665147399049240e-04 7.969301587348763e-05 0.000000000000000e+00 7.098399383847400e-05 1.792328308378824e-04 6.354559282135413e-04 1.410673640071792e-01 2.568672932522346e+01 4.421351578531908e-04 2.556805026199701e-04 6.017917539438003e-05 0.000000000000000e+00 7.200014679987562e-05 1.653823209506405e-04 5.905544193799975e-04 1.497829369923429e-01 2.727373398615082e+01 4.030354724368192e-04 2.444654103907510e-04 5.753511767231466e-05 0.000000000000000e+00 7.373728985270415e-05 1.551464342041880e-04 5.525598650419194e-04 1.587388058247237e-01 2.890449373124580e+01 3.683675875100518e-04 2.337625825717428e-04 5.628473363878290e-05 0.000000000000000e+00 7.533530073431471e-05 1.503789102338304e-04 5.204403901368637e-04 1.679324393176608e-01 3.057854766080223e+01 3.377804410459578e-04 2.206745594565534e-04 5.676575862545463e-05 0.000000000000000e+00 7.616735825474430e-05 1.348933299008237e-04 4.901471355784644e-04 1.773612390853474e-01 3.229542263892949e+01 3.108009489317277e-04 2.125633019119904e-04 5.658632656421680e-05 0.000000000000000e+00 7.610993354074255e-05 1.280611336848214e-04 4.657223269102706e-04 1.870225402772094e-01 3.405463342727447e+01 2.869194922166086e-04 2.096946671813819e-04 5.372505030985882e-05 0.000000000000000e+00 7.532598192676977e-05 1.211778438097633e-04 4.455620713652057e-04 1.969136123310693e-01 3.585568282216393e+01 3.792100983062735e-04 2.053941429203658e-04 4.852364562203755e-05 0.000000000000000e+00 7.466618991249649e-05 1.144999159789081e-04 5.045949542522149e-04 2.070316597448810e-01 3.769806179512845e+01 3.528389552925588e-04 2.014682454342549e-04 4.280815605323730e-05 0.000000000000000e+00 7.563119413868552e-05 1.083794930563718e-04 4.791721650671342e-04 2.173738228668202e-01 3.958124963676869e+01 3.290371908923734e-04 1.962170260807929e-04 4.079509910452715e-05 0.000000000000000e+00 7.844117232981766e-05 1.035239540242909e-04 4.551649816307364e-04 2.279371787035034e-01 4.150471410392278e+01 3.072990322413844e-04 1.918709247853283e-04 3.945779032978892e-05 0.000000000000000e+00 8.131718347588236e-05 9.647310667893471e-05 4.278437388637009e-04 2.387187417461112e-01 4.346791157009366e+01 2.872402634240126e-04 1.906820991553754e-04 3.777165254946947e-05 0.000000000000000e+00 8.250207756397483e-05 9.119489513039335e-05 4.083017743740050e-04 2.497154648141782e-01 4.547028717909350e+01 2.683913392921604e-04 1.855519359407006e-04 3.567180126642389e-05 0.000000000000000e+00 8.150114428741548e-05 9.186784504252656e-05 3.888732833731885e-04 2.609242399168145e-01 4.751127500186213e+01 2.058512830507594e-04 1.769860891751853e-04 3.380040350922836e-05 0.000000000000000e+00 7.869186545640521e-05 8.633427892144603e-05 3.381639324719443e-04 2.723418991311134e-01 4.959029819641487e+01 1.931660334126237e-04 1.746033432922141e-04 3.050231352660100e-05 0.000000000000000e+00 7.490393130378983e-05 8.057544212479234e-05 3.234440507502592e-04 2.839652154974980e-01 5.170676917087474e+01 1.811109662841681e-04 1.747711657255707e-04 2.757420449417684e-05 0.000000000000000e+00 7.142925042802409e-05 7.527544304314842e-05 3.113531908971025e-04 2.957909039317521e-01 5.386008974954277e+01 1.696570884985359e-04 1.748739004599804e-04 2.899052542374255e-05 0.000000000000000e+00 6.931079559505987e-05 7.360272654902959e-05 2.968145180226527e-04 3.078156221534808e-01 5.604965134195976e+01 1.596761850476252e-04 1.771520674641371e-04 2.537592878655653e-05 0.000000000000000e+00 6.825810693354138e-05 6.738550825926805e-05 2.888257169658699e-04 3.200359716307346e-01 5.827483511491153e+01 1.327143261527418e-04 2.300126612376553e-04 2.718017726507374e-05 0.000000000000000e+00 6.737379752649207e-05 6.455206254735057e-05 3.092750693964407e-04 3.324484985405327e-01 6.053501216732891e+01 1.265025482238978e-04 2.277833193803447e-04 2.683282454710968e-05 0.000000000000000e+00 6.676047501459036e-05 6.147464465358193e-05 3.025657757402400e-04 3.450496947450128e-01 6.282954370803339e+01 1.203960941198999e-04 1.739214827318184e-04 2.551075766745871e-05 0.000000000000000e+00 6.648973090335422e-05 5.861701349981453e-05 2.631590146300976e-04 3.578359987829319e-01 6.515778123627788e+01 1.142151446760517e-04 1.734219340483849e-04 3.508836997350847e-05 0.000000000000000e+00 6.596331453389045e-05 5.571205184871355e-05 2.583037398015957e-04 3.708037968762384e-01 6.751906672503175e+01 1.079552162463663e-04 1.666769010772347e-04 2.279969039238765e-05 0.000000000000000e+00 6.439215996903435e-05 5.280115110114299e-05 2.461250893675126e-04 3.839494239514293e-01 6.991273280695820e+01 1.018379807104850e-04 1.578943301957728e-04 2.263245388716579e-05 0.000000000000000e+00 6.143902045567534e-05 5.044662891548184e-05 2.335657586161861e-04 3.972691646754060e-01 7.233810296303152e+01 9.615975051917761e-05 1.528473281701215e-04 3.227659411026022e-05 0.000000000000000e+00 5.792754599590540e-05 4.766939325887801e-05 2.247740692077413e-04 4.107592545055342e-01 7.479449171374085e+01 9.109362733633910e-05 1.462653370612400e-04 4.031861456702790e-05 0.000000000000000e+00 6.652811121965460e-05 4.495028952796621e-05 2.162687731160428e-04 4.244158807536126e-01 7.728120481282647e+01 8.667151525065803e-05 1.403016303349431e-04 2.296018881640310e-05 0.000000000000000e+00 6.877634467141392e-05 4.378086054801219e-05 2.068739299992947e-04 4.382351836634480e-01 7.979753944349379e+01 8.281937393670290e-05 1.384190806303430e-04 1.910282638645168e-05 0.000000000000000e+00 6.906538667427458e-05 4.187518242884043e-05 2.019713896875279e-04 4.522132575017341e-01 8.234278441704960e+01 7.936359639226406e-05 1.332133314584236e-04 1.780746183238287e-05 0.000000000000000e+00 6.643040740667873e-05 3.951057544993468e-05 1.941242263783666e-04 4.663461516619241e-01 8.491622037390462e+01 7.617273429516485e-05 1.307626154902736e-04 1.629225401096794e-05 0.000000000000000e+00 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