% Filename : LM_Channel_0180_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_0180_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 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 = 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 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 %-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 1.110223024625157e-16 2.021587241307348e-14 0.000000000000000e+00 4.790010372474188e-14 8.239831465369522e-04 3.237445435554690e-21 0.000000000000000e+00 8.239806281281024e-04 1.165286360216800e-03 5.791461380333374e-05 1.054557883895367e-02 5.788204607783651e-16 2.133471332780583e-12 8.172376158602549e-04 2.014646620013849e-06 0.000000000000000e+00 8.194842586619095e-04 1.157339980201417e-03 2.141030191135096e-04 3.898567424427084e-02 2.926240563769359e-14 1.075171138544891e-10 7.993094819197777e-04 7.374887425103963e-06 0.000000000000000e+00 8.075223781338627e-04 1.136240479844992e-03 5.088966186284072e-04 9.266416643727822e-02 3.933498640945082e-13 1.436361763201499e-09 7.664207388359005e-04 1.720737396872019e-05 0.000000000000000e+00 7.855515306957139e-04 1.097628375187663e-03 9.825876412230539e-04 1.789178025409327e-01 2.834930824622473e-12 1.024969311686107e-08 7.158939551207914e-04 3.225544741209960e-05 0.000000000000000e+00 7.517772305465627e-04 1.038611367807786e-03 1.675417754204322e-03 3.050741230036028e-01 1.406276774987357e-11 5.008160162564684e-08 6.466277749130405e-04 5.269175856856511e-05 0.000000000000000e+00 7.053686948677499e-04 9.583573962346395e-04 2.627566689856309e-03 4.784493906250172e-01 5.415214604637512e-11 2.236294206234466e-07 5.596057466346894e-04 7.799637881558798e-05 0.000000000000000e+00 6.467489333355507e-04 8.587934906342189e-04 3.879140889489485e-03 7.063465227694476e-01 1.730526707864051e-10 7.011939565551410e-07 4.596698592982986e-04 1.069590894733075e-04 0.000000000000000e+00 5.776641494989503e-04 7.459443596258483e-04 5.412247554401284e-03 9.855074485118559e-01 4.630693321360121e-10 1.811482026755303e-06 3.553783908647503e-04 1.367547275744638e-04 0.000000000000000e+00 5.039250848045544e-04 6.316165203430086e-04 7.226453384460596e-03 1.315853268928577e+00 1.075125914411414e-09 3.981135820830871e-06 2.503861215197728e-04 1.654633550550042e-04 0.000000000000000e+00 4.309597236225391e-04 5.251794593700024e-04 9.321245632810338e-03 1.697290618769450e+00 2.226590816752917e-09 7.635290492582255e-06 1.506780246944593e-04 1.918028600292471e-04 0.000000000000000e+00 3.621431263512037e-04 4.366899882874701e-04 1.169603225078431e-02 2.129711692845490e+00 4.203652617846131e-09 1.305129954658671e-05 8.203652255283939e-05 2.152014139820188e-04 0.000000000000000e+00 3.011257419678785e-04 3.793266251209550e-04 1.435014205523744e-02 2.612994276497792e+00 7.360582864057417e-09 2.025907169105434e-05 5.567205769427266e-05 2.356803726356006e-04 0.000000000000000e+00 2.514023823513127e-04 3.496544064436298e-04 1.728282491824162e-02 3.147001780138933e+00 1.211289007635184e-08 2.902726486675836e-05 6.484125139621073e-05 3.423281665323807e-04 0.000000000000000e+00 2.158413776231270e-04 4.108808148729560e-04 2.049325197909280e-02 3.731583277857002e+00 1.890888623631388e-08 3.884286684256936e-05 1.076634509317462e-04 3.653329183450932e-04 0.000000000000000e+00 1.954341027796546e-04 4.298404553836914e-04 2.398051587857197e-02 4.366573550071815e+00 2.816457858867546e-08 4.884910160260888e-05 8.559295402890986e-05 3.855073760292100e-04 0.000000000000000e+00 2.132516154298031e-04 4.514472037308105e-04 2.774363101539001e-02 5.051793130230531e+00 4.017825958475673e-08 5.799685652422374e-05 8.522950038293181e-05 4.027411435142514e-04 0.000000000000000e+00 2.217745057528399e-04 4.711815624550598e-04 3.178153382474769e-02 5.787048355530207e+00 5.508071541143272e-08 6.553454231231929e-05 8.023107466217920e-05 4.166566834466189e-04 0.000000000000000e+00 2.371420009176110e-04 4.904803003907117e-04 3.609308307892944e-02 6.572131421652430e+00 7.287650170087275e-08 7.131076771087078e-05 7.422653081707337e-05 4.265255748393566e-04 0.000000000000000e+00 2.549119968818800e-04 5.074435938367804e-04 4.067706020984729e-02 7.406820441494814e+00 9.358783535064541e-08 7.569408204125080e-05 6.033602076428519e-05 3.777978430156333e-04 0.000000000000000e+00 2.681309520110646e-04 4.732815819679060e-04 4.553216965344320e-02 8.290879507882680e+00 1.174182470025847e-07 7.937066229763361e-05 6.266796654268744e-05 3.746613958190384e-04 0.000000000000000e+00 2.701262649728760e-04 4.728280346981043e-04 5.065703921585307e-02 9.224058760243272e+00 1.446451722884491e-07 8.248842496478928e-05 6.369302402124142e-05 3.736545869858740e-04 0.000000000000000e+00 2.083714967269940e-04 4.403380445841578e-04 5.605022046122787e-02 1.020609445522346e+01 1.748630323486303e-07 7.239815849865109e-05 6.175962414211752e-05 3.659803629434761e-04 0.000000000000000e+00 2.080076594299212e-04 4.315838128880694e-04 6.171018912110404e-02 1.123670904123138e+01 2.058883465700673e-07 7.785494458152089e-05 5.775634071784536e-05 3.008073515830474e-04 0.000000000000000e+00 2.072432078953440e-04 3.779312631472536e-04 6.763534552520467e-02 1.231561123688027e+01 2.336834848255005e-07 8.439929699138002e-05 5.387954862926604e-05 2.838315058932418e-04 0.000000000000000e+00 2.069833569977583e-04 3.652789831249404e-04 7.382401505355363e-02 1.344249611331326e+01 2.540978278742495e-07 9.093424114519970e-05 5.212262640887297e-05 2.868240530267142e-04 0.000000000000000e+00 2.085074901862088e-04 3.697692250857847e-04 8.027444860977029e-02 1.461704518038482e+01 3.181997356611703e-07 9.688951529673112e-05 5.356570407280409e-05 2.640069689338268e-04 0.000000000000000e+00 2.068746371053259e-04 3.532049818468157e-04 8.698482311541555e-02 1.583892647667542e+01 3.258910387821540e-07 1.013996751823260e-04 5.653658704498227e-05 2.431934676599608e-04 0.000000000000000e+00 2.006655221867165e-04 3.359882446063988e-04 9.395324202524546e-02 1.710779466331326e+01 3.258056396006060e-07 1.029467419855159e-04 5.734496356406796e-05 2.258057992580248e-04 0.000000000000000e+00 1.911948010778506e-04 3.184812296174858e-04 1.011777358632303e-01 1.842329112157711e+01 3.230794664497991e-07 1.013049202664412e-04 5.429992421787058e-05 2.121615987817372e-04 0.000000000000000e+00 1.810648595392749e-04 3.016758200091587e-04 1.086562627791852e-01 1.978504405425227e+01 2.718039882882057e-07 9.938703800693069e-05 4.920133989017290e-05 2.016653057187972e-04 0.000000000000000e+00 1.716130378711157e-04 2.870863273410916e-04 1.163867091258549e-01 2.119266859071105e+01 2.813855886507895e-07 1.003378667357384e-04 4.639335521361971e-05 1.723113456223239e-04 0.000000000000000e+00 1.628720956631598e-04 2.616077779095852e-04 1.243668900562930e-01 2.264576689568853e+01 2.923380746216737e-07 1.030623098253706e-04 4.817956518945532e-05 1.695523752097889e-04 0.000000000000000e+00 1.546840266757663e-04 2.561607927022513e-04 1.325945501413611e-01 2.414392828172205e+01 3.014067558512951e-07 1.046547596840826e-04 1.053963382384311e-04 1.663571973192333e-04 0.000000000000000e+00 1.471480159674101e-04 2.671859902534015e-04 1.410673640071792e-01 2.568672932522346e+01 3.098188949666018e-07 1.051964235641927e-04 5.129347055869479e-05 1.631611778473334e-04 0.000000000000000e+00 1.398735905305286e-04 2.447112480554001e-04 1.497829369923429e-01 2.727373398615082e+01 3.221935760010396e-07 1.064553949392455e-04 4.827245354147235e-05 1.605218718518186e-04 0.000000000000000e+00 1.325917716314685e-04 2.387696252425503e-04 1.587388058247237e-01 2.890449373124580e+01 3.403303355072133e-07 1.079471088292044e-04 4.388140142249877e-05 1.586344335473160e-04 0.000000000000000e+00 1.255544291378371e-04 2.334674917480586e-04 1.679324393176608e-01 3.057854766080223e+01 3.614082098127539e-07 1.081033922348991e-04 4.201383767089029e-05 1.814643764979825e-04 0.000000000000000e+00 1.193046735865558e-04 2.462002470791178e-04 1.773612390853474e-01 3.229542263892949e+01 3.814677156578660e-07 1.082050499684776e-04 4.357479473435632e-05 1.824291987920864e-04 0.000000000000000e+00 1.176948660667437e-04 2.464543267277558e-04 1.870225402772094e-01 3.405463342727447e+01 3.991675687920799e-07 1.106661162500671e-04 4.436802715464812e-05 1.823287815468357e-04 0.000000000000000e+00 1.147236697196324e-04 2.462132722428057e-04 1.969136123310693e-01 3.585568282216393e+01 4.143151657299156e-07 1.129963044843488e-04 4.413776570621365e-05 1.798079721026054e-04 0.000000000000000e+00 1.097681099107331e-04 2.430975599028894e-04 2.070316597448810e-01 3.769806179512845e+01 4.265454696009573e-07 1.114761989255306e-04 4.326144482105401e-05 1.744279213632350e-04 0.000000000000000e+00 1.040056415090906e-04 2.356712767664816e-04 2.173738228668202e-01 3.958124963676869e+01 4.440748910985762e-07 1.072729661029050e-04 4.009381180006793e-05 1.671246511667025e-04 0.000000000000000e+00 1.036428864216561e-04 2.275691040916747e-04 2.279371787035034e-01 4.150471410392278e+01 4.753862738765808e-07 1.042483002073266e-04 3.502209776778800e-05 1.418706268584799e-04 0.000000000000000e+00 1.012086613887000e-04 2.060702533739243e-04 2.387187417461112e-01 4.346791157009366e+01 5.150288651477141e-07 1.264977969998310e-04 3.285443498483713e-05 1.377936507569625e-04 0.000000000000000e+00 9.859710562225690e-05 2.139856332203952e-04 2.497154648141782e-01 4.547028717909350e+01 5.562900986526402e-07 1.324765215526613e-04 3.210931225795020e-05 1.329897094746072e-04 0.000000000000000e+00 9.617903326531954e-05 2.133495146960429e-04 2.609242399168145e-01 4.751127500186213e+01 6.007802008193904e-07 1.114705914869816e-04 3.154937869236746e-05 1.279555841964614e-04 0.000000000000000e+00 9.102396396433033e-05 1.951394643377374e-04 2.723418991311134e-01 4.959029819641487e+01 6.456217671547194e-07 1.101880599867029e-04 2.869345878473284e-05 1.234435165841886e-04 0.000000000000000e+00 8.483326524950199e-05 1.881492084694853e-04 2.839652154974980e-01 5.170676917087474e+01 6.818941493016670e-07 1.064865853206008e-04 2.559295601499211e-05 1.197309774430150e-04 0.000000000000000e+00 7.894215009348382e-05 1.804500685821417e-04 2.957909039317521e-01 5.386008974954277e+01 7.060312625014422e-07 1.024689849049973e-04 2.673438501466158e-05 1.165082046447504e-04 0.000000000000000e+00 8.429218533956315e-05 1.785901815570461e-04 3.078156221534808e-01 5.604965134195976e+01 7.174798706259059e-07 1.276862815952341e-04 2.709864856435899e-05 1.135499153475863e-04 0.000000000000000e+00 7.067611900238173e-05 1.868885633517462e-04 3.200359716307346e-01 5.827483511491153e+01 7.180725413348827e-07 1.272487626290792e-04 2.470315517099917e-05 1.106531989989509e-04 0.000000000000000e+00 6.830119735891150e-05 1.836088045371769e-04 3.324484985405327e-01 6.053501216732891e+01 7.067973615615221e-07 1.188668851403637e-04 2.213160822233803e-05 1.075976994371519e-04 0.000000000000000e+00 6.582333932936903e-05 1.747272759263038e-04 3.450496947450128e-01 6.282954370803339e+01 6.715098025216983e-07 9.493544885332443e-05 2.169705871893876e-05 1.045393867117278e-04 0.000000000000000e+00 6.328632170336679e-05 1.562613023760405e-04 3.578359987829319e-01 6.515778123627788e+01 6.075604107470686e-07 9.131520334568243e-05 5.497116968760807e-05 1.017476661054335e-04 0.000000000000000e+00 6.090492405830450e-05 1.594448566777570e-04 3.708037968762384e-01 6.751906672503175e+01 5.350690668994370e-07 8.491211928166212e-05 2.179812226507294e-05 9.934314670143372e-05 0.000000000000000e+00 5.880462649888227e-05 1.449570878857197e-04 3.839494239514293e-01 6.991273280695820e+01 4.769904863770642e-07 9.695148639536278e-05 2.270263468480617e-05 9.714803092597303e-05 0.000000000000000e+00 5.761187442074232e-05 1.505725600595649e-04 3.972691646754060e-01 7.233810296303152e+01 4.330071672042934e-07 8.071643548523120e-05 2.212709529213297e-05 9.442633071818149e-05 0.000000000000000e+00 5.521865017984498e-05 1.377329664942237e-04 4.107592545055342e-01 7.479449171374085e+01 3.972601436444202e-07 8.078520352712849e-05 1.996269457445956e-05 9.074393518206537e-05 0.000000000000000e+00 5.370559730207265e-05 1.343267250144726e-04 4.244158807536126e-01 7.728120481282647e+01 3.716777064353659e-07 8.103334267135019e-05 1.861528998905456e-05 8.633560347532640e-05 0.000000000000000e+00 5.224873577709379e-05 1.307548722149193e-04 4.382351836634480e-01 7.979753944349379e+01 3.528464113041646e-07 8.102400757688502e-05 1.782387329876848e-05 8.201053485204374e-05 0.000000000000000e+00 5.043210176672345e-05 1.270898480568258e-04 4.522132575017341e-01 8.234278441704960e+01 3.256455240388793e-07 7.995948804315477e-05 1.770670316686315e-05 7.833080633505796e-05 0.000000000000000e+00 4.835231844921481e-05 1.232104501683391e-04 4.663461516619241e-01 8.491622037390462e+01 2.758228221525196e-07 7.701101118909225e-05 1.851741047315273e-05 7.479499504770525e-05 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