% Filename : LM_Channel_0550_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_0550_RSTE_ww_prof.dat % % Total number of data points : 192 % % % % % 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 = 1536 % Grid (wall-normal) ny = 384 % Grid (spanwise) nz = 1024 % Streamwise domain size Lx = 8pi % Spanwise domain size Lz = 3pi % B-Spline order n = 7 % Kinematic Viscosity nu = 1.00000e-04 % Channel half width delta = 1.000 % Avg streamwise vel U_mean = 1.000 % Friction vel u_tau = 5.43496e-02 % Re_tau Re_tau = 543.496 % % % 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: (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 3.324822864975373e-15 4.405711043060335e-04 4.861296847371140e-21 0.000000000000000e+00 4.405710749920122e-04 6.230616101711412e-04 4.960055044689327e-06 2.695770315769523e-03 8.483925901862537e-18 4.171728442263959e-14 4.396113945809287e-04 3.214236926800166e-07 0.000000000000000e+00 4.399312320216344e-04 6.219306797920909e-04 2.479993079318454e-05 1.347866438236128e-02 1.061410636206651e-15 5.205150761527613e-12 4.357938780155394e-04 1.601103658226506e-06 0.000000000000000e+00 4.373851858645740e-04 6.174339385412298e-04 6.943835963846290e-05 3.773947405876450e-02 2.334526240357819e-14 1.135377924518332e-10 4.273235670530716e-04 4.445532051344455e-06 0.000000000000000e+00 4.317316772012650e-04 6.074680525041714e-04 1.487923519430945e-04 8.086805528724719e-02 2.304671632533164e-13 1.104868525468771e-09 4.126460735633879e-04 9.385240099718736e-06 0.000000000000000e+00 4.219235964717995e-04 5.902409558984610e-04 2.727765073938793e-04 1.482529538173228e-01 1.426773131132872e-12 6.693414031722228e-09 3.906089745407122e-04 1.681247114580024e-05 0.000000000000000e+00 4.071721290075285e-04 5.644884169432535e-04 4.513023265247940e-04 2.452810310211923e-01 6.498145542585117e-12 2.958647080868012e-08 3.606362146865638e-04 2.691244817500722e-05 0.000000000000000e+00 3.870474453119448e-04 5.297060364089577e-04 6.942775224545450e-04 3.773370898258246e-01 2.378597591918489e-11 1.041431818485836e-07 3.229030195869738e-04 3.960430901774095e-05 0.000000000000000e+00 3.615643227646433e-04 4.863780748483800e-04 1.006645277842999e-03 5.471077304725138e-01 7.273614559725935e-11 3.032205423787866e-07 2.790939008235388e-04 5.429265883223817e-05 0.000000000000000e+00 3.316793162190380e-04 4.368665231282940e-04 1.388383901632650e-03 7.545811639572240e-01 1.906317714732151e-10 7.486266781390471e-07 2.319404101348965e-04 7.003958712934232e-05 0.000000000000000e+00 2.990173882418073e-04 3.848556307652053e-04 1.839466885598995e-03 9.997429831646912e-01 4.402139040359261e-10 1.609059028034391e-06 1.841398099352806e-04 8.596401790318198e-05 0.000000000000000e+00 2.651939305520322e-04 3.341073058911544e-04 2.359862906192278e-03 1.282576163869408e+00 9.163209378164238e-10 3.075893754060671e-06 1.382036186627128e-04 1.013336684685599e-04 0.000000000000000e+00 2.317758261243631e-04 2.882676660252090e-04 2.949535826711647e-03 1.603061065917264e+00 1.750348906591499e-09 5.319336944462155e-06 8.676430016692647e-05 1.156231218541653e-04 0.000000000000000e+00 2.002633563428398e-04 2.470434320783521e-04 3.608444699815139e-03 1.961175434589719e+00 3.111404674750907e-09 8.437973565777413e-06 6.106101245940626e-05 1.285286467135724e-04 0.000000000000000e+00 1.720334828764314e-04 2.234161563243873e-04 4.336543770362744e-03 2.356894402148990e+00 5.201698911003574e-09 1.241217117528267e-05 3.842913539613176e-05 1.399411051919824e-04 0.000000000000000e+00 1.482027746992783e-04 2.077942150748065e-04 5.133782478594084e-03 2.790190489565113e+00 8.240480198094178e-09 1.705288166257100e-05 3.326439217335931e-05 1.498893956796048e-04 0.000000000000000e+00 1.294292629873808e-04 2.015343287934339e-04 6.000105463638716e-03 3.261033608423775e+00 1.984975296753265e-08 2.194955664681904e-05 3.761478137728098e-05 1.584728652162048e-04 0.000000000000000e+00 1.157699337438682e-04 2.010298032082763e-04 6.935452567361056e-03 3.769391063016017e+00 2.874496702396160e-08 2.263931732048830e-05 4.324938394237911e-05 1.657974642783252e-04 0.000000000000000e+00 1.067419435593657e-04 2.031395835438272e-04 7.939758838537370e-03 4.315227552608415e+00 2.463319681169904e-08 2.730788318393172e-05 4.756167238457669e-05 1.719211233790960e-04 0.000000000000000e+00 1.015849927326639e-04 2.070850481884803e-04 9.012954537366280e-03 4.898505173894514e+00 3.859717968785704e-08 3.175115304195976e-05 5.021146139450338e-05 1.768113417976047e-04 0.000000000000000e+00 9.949986563949086e-05 2.114043564242564e-04 1.015496514031144e-02 5.519183423626813e+00 4.892877436497996e-08 3.575210427511788e-05 5.123700593112501e-05 1.803257723659173e-04 0.000000000000000e+00 9.968254131552073e-05 2.153077781999413e-04 1.136571134527642e-02 6.177219201429278e+00 5.948476673520080e-08 3.919871073014418e-05 5.059335267809363e-05 1.822300864520734e-04 0.000000000000000e+00 1.012508854120598e-04 2.180728685591336e-04 1.264510907711180e-02 6.872566812790456e+00 6.949709339919185e-08 4.219435671237906e-05 4.825841897351009e-05 1.822554302624182e-04 0.000000000000000e+00 1.032813757950535e-04 2.190737958230025e-04 1.399306949345314e-02 7.605177972236348e+00 7.821301798092060e-08 4.495606128790409e-05 4.460239898380256e-05 1.801799608657486e-04 0.000000000000000e+00 1.050263640544027e-04 2.179582138919727e-04 1.540949899089039e-02 8.375001806683503e+00 1.020928989611701e-07 4.751951109095577e-05 4.059513045162251e-05 1.759107531450756e-04 0.000000000000000e+00 1.061256002222893e-04 2.147401105249707e-04 1.689429921146768e-02 9.181984858971585e+00 1.101144309682502e-07 4.971218228371436e-05 4.469742087726001e-05 1.695486049662078e-04 0.000000000000000e+00 1.065555762898277e-04 2.111160650214013e-04 1.844736704951344e-02 1.002607109157555e+01 1.153962039056461e-07 5.141506903433469e-05 3.025602159534772e-05 1.614321220734537e-04 0.000000000000000e+00 1.063667345616551e-04 2.023194546782772e-04 2.006859465880007e-02 1.090720189049688e+01 1.175732230823524e-07 5.268600705961636e-05 2.897497271611726e-05 1.521505131428269e-04 0.000000000000000e+00 1.055677802346221e-04 1.947041681129078e-04 2.175786946003322e-02 1.182531606933399e+01 1.163797501220383e-07 5.371304807391045e-05 2.799906987046977e-05 1.424628556019813e-04 0.000000000000000e+00 1.042059935756280e-04 1.866108445793081e-04 2.351507414866882e-02 1.278034987353073e+01 1.117135674759166e-07 5.464855085527955e-05 2.801747068346120e-05 1.330726474517268e-04 0.000000000000000e+00 1.023205234033678e-04 1.787435992234478e-04 2.534008670305921e-02 1.377223698480380e+01 1.038668416943758e-07 5.541463122254452e-05 2.886411579535732e-05 1.243790842190123e-04 0.000000000000000e+00 9.978240716264622e-05 1.712618308112799e-04 2.723278039292598e-02 1.480090852574770e+01 9.381062133202672e-08 5.581894025265394e-05 2.936105551377175e-05 1.164181578865828e-04 0.000000000000000e+00 9.648784268921454e-05 1.638320046412444e-04 2.919302378816102e-02 1.586629306461805e+01 9.918780509691356e-08 5.597995544323480e-05 2.855220441519833e-05 1.090360967176163e-04 0.000000000000000e+00 9.264189211030576e-05 1.562702280916151e-04 3.122068076795215e-02 1.696831662029134e+01 8.872145772805425e-08 5.632000389941122e-05 2.650690689524203e-05 9.244280129718593e-05 0.000000000000000e+00 8.842325648041325e-05 1.422635252696619e-04 3.331561053023624e-02 1.810690266740270e+01 5.780138425618446e-08 5.672168374619157e-05 2.387822026181588e-05 8.981724543698272e-05 0.000000000000000e+00 8.370634129580518e-05 1.373368534002866e-04 3.547766760147619e-02 1.928197214165958e+01 5.578500925355650e-08 5.671540329075156e-05 2.164582666479138e-05 8.722351852307778e-05 0.000000000000000e+00 7.844566718508264e-05 1.320865124759545e-04 3.770670184676284e-02 2.049344344533214e+01 5.384826771562105e-08 5.673743784743447e-05 2.092825344797549e-05 8.485488028224599e-05 0.000000000000000e+00 7.281086400271779e-05 1.271176784324143e-04 4.000255848024048e-02 2.174123245291950e+01 5.094379709344018e-08 5.764233928107961e-05 2.162589761619115e-05 8.301866078657427e-05 0.000000000000000e+00 6.727823211106729e-05 1.233238820162521e-04 4.236507807585510e-02 2.302525251699132e+01 4.666696543962615e-08 5.959706938723278e-05 2.278731846467467e-05 8.193976790151726e-05 0.000000000000000e+00 6.269332910316740e-05 1.213080946101924e-04 4.479409657842548e-02 2.434541447420490e+01 4.102340174455390e-08 6.233406416385891e-05 2.327316666628942e-05 8.153801516270207e-05 0.000000000000000e+00 5.965195902437541e-05 1.209709951058486e-04 4.728944531503487e-02 2.570162665149656e+01 2.441342332812695e-08 6.538397004802252e-05 2.266800078257101e-05 8.141157200333667e-05 0.000000000000000e+00 5.784646645193049e-05 1.215029223177919e-04 4.985095100674408e-02 2.709379487244760e+01 1.837870189407862e-08 6.792188629071347e-05 2.176667156609874e-05 8.112780765071031e-05 0.000000000000000e+00 5.653627054295975e-05 1.219230988256495e-04 5.247843578062394e-02 2.852182246382393e+01 1.189613885496437e-08 6.886320118626590e-05 2.144837999026256e-05 8.053377661374552e-05 0.000000000000000e+00 5.513091410840790e-05 1.213560072243903e-04 5.517171718210678e-02 2.998561026228904e+01 9.624406178557198e-09 6.729024819662300e-05 2.531140024794729e-05 7.974876133952227e-05 0.000000000000000e+00 5.343177814157114e-05 1.199310819932109e-04 5.793060818765683e-02 3.148505662129033e+01 1.119307149019379e-08 6.401495005136912e-05 2.407132539565676e-05 8.959674470116853e-05 0.000000000000000e+00 5.149270395856626e-05 1.239210146975832e-04 6.075491721775639e-02 3.302005741811698e+01 1.239909114870949e-08 6.134861955416552e-05 2.236927055195050e-05 9.140887803575638e-05 0.000000000000000e+00 4.945249636881537e-05 1.227402538730837e-04 6.364444815021009e-02 3.459050606113087e+01 1.013869975659871e-08 5.997230353477972e-05 1.783571705861912e-05 9.295775996811448e-05 0.000000000000000e+00 4.753074666879624e-05 1.217173246265254e-04 6.659900033376298e-02 3.619629349716784e+01 1.157455670553170e-08 5.900535885563243e-05 2.526101198444335e-05 9.433461813748924e-05 0.000000000000000e+00 4.555980110301650e-05 1.228595413056017e-04 6.961836860203485e-02 3.783730821911102e+01 1.505100535186162e-08 5.796173720251957e-05 1.613299820985194e-05 9.561520605622495e-05 0.000000000000000e+00 4.378185637493939e-05 1.211567390371496e-04 7.270234328776626e-02 3.951343627363347e+01 2.009008262253678e-08 5.739722322767142e-05 1.679704904721174e-05 9.661554571415188e-05 0.000000000000000e+00 4.221646712559928e-05 1.212162376283111e-04 7.585071023737844e-02 4.122456126911140e+01 2.409847298350251e-08 5.804380653330669e-05 1.700623314244960e-05 9.660024351884695e-05 0.000000000000000e+00 4.059601211267449e-05 1.209873516970292e-04 7.906325082584409e-02 4.297056438370646e+01 2.518615716751803e-08 5.919437207767299e-05 1.603962491511796e-05 9.467271868554059e-05 0.000000000000000e+00 3.881391268912960e-05 1.192924447271539e-04 8.233974197186933e-02 4.475132437361696e+01 2.274528815835187e-08 6.022831394426417e-05 1.465133545537003e-05 9.063107588445083e-05 0.000000000000000e+00 3.721486643658567e-05 1.159355430763524e-04 8.567995615338375e-02 4.656671758149677e+01 1.744279492542566e-08 6.110837884426427e-05 1.424460349764956e-05 8.497873650607759e-05 0.000000000000000e+00 3.582083196286812e-05 1.115421922803737e-04 8.908366142334079e-02 4.841661794504267e+01 1.323354544448871e-08 6.118738712466222e-05 1.406121327913817e-05 7.888108005012062e-05 0.000000000000000e+00 3.457797178731494e-05 1.065808386153407e-04 9.255062142582338e-02 5.030089700574776e+01 1.610734179446728e-08 6.039563928635627e-05 1.395306969334681e-05 6.598253115559025e-05 0.000000000000000e+00 3.330103690808719e-05 9.646229903425347e-05 9.608059541245717e-02 5.221942391782199e+01 2.181316028946890e-08 6.055969654872754e-05 1.402313595767296e-05 6.534734012970569e-05 0.000000000000000e+00 3.219994567888396e-05 9.576657573352943e-05 9.967333825912839e-02 5.417206545727817e+01 2.241199899272302e-08 6.320315419368883e-05 1.375956525427285e-05 6.487282746152981e-05 0.000000000000000e+00 3.122603126923919e-05 9.678591638248005e-05 1.033286004830050e-01 5.615868603118298e+01 1.423550635605749e-08 6.622404325329086e-05 1.311056260758099e-05 6.441157017025514e-05 0.000000000000000e+00 3.029151833412116e-05 9.810166876325184e-05 1.070461282598614e-01 5.817914768707291e+01 8.966771767642149e-09 6.633681983750856e-05 1.202451337025467e-05 6.364554592508330e-05 0.000000000000000e+00 2.996609854182660e-05 9.743657037410979e-05 1.108256634417039e-01 6.023331012253348e+01 2.387022640503531e-08 6.391905660009704e-05 1.138207123051225e-05 6.267111390820882e-05 0.000000000000000e+00 2.915084640581413e-05 9.482952217849472e-05 1.146669435746969e-01 6.232103069494224e+01 3.888478404589427e-08 6.007894312068299e-05 1.127048439460119e-05 6.181910988754833e-05 0.000000000000000e+00 2.894893476173943e-05 9.163049660534348e-05 1.185697019173878e-01 6.444216443137381e+01 5.216330323637922e-08 5.588150938134611e-05 2.488441338499081e-05 6.118232199401962e-05 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