% Filename : LM_Channel_0550_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_0550_RSTE_k_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: (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 3.816580855357310e-15 4.585058896788153e-04 0.000000000000000e+00 1.495236454236299e-16 4.585058921271496e-04 6.484252493429564e-04 4.960055044689327e-06 2.695770315769523e-03 5.969718481770454e-14 1.984232527714113e-13 4.582182211120801e-04 0.000000000000000e+00 1.946568555510625e-07 4.583140499783496e-04 6.480862670352241e-04 2.479993079318454e-05 1.347866438236128e-02 7.469089307707747e-12 2.484321173760804e-11 4.570797287309778e-04 0.000000000000000e+00 9.687197722662177e-07 4.575536713491895e-04 6.467455385527394e-04 6.943835963846290e-05 3.773947405876450e-02 1.643087131608820e-10 5.463223102374039e-10 4.545866171642261e-04 0.000000000000000e+00 2.683903632765212e-06 4.558822674825730e-04 6.438146000261131e-04 1.487923519430945e-04 8.086805528724719e-02 1.622826721402318e-09 5.392698245330262e-09 4.503728376034545e-04 0.000000000000000e+00 5.644235024861177e-06 4.530379855361644e-04 6.388787017755596e-04 2.727765073938793e-04 1.482529538173228e-01 1.005804337086226e-08 3.339240756347471e-08 4.442943446316573e-04 0.000000000000000e+00 1.004870817211434e-05 4.488914242816549e-04 6.318047915156543e-04 4.513023265247940e-04 2.452810310211923e-01 4.592699525250409e-08 1.522532048523816e-07 4.364872123658625e-04 0.000000000000000e+00 1.593917103296411e-05 4.434855328505779e-04 6.228155234503252e-04 6.942775224545450e-04 3.773370898258246e-01 1.689894650201087e-07 5.587908021577884e-07 4.273426732676842e-04 0.000000000000000e+00 2.315587339337440e-05 4.370422030490447e-04 6.124645153674196e-04 1.006645277842999e-03 5.471077304725138e-01 5.215074700717004e-07 1.716235083588861e-06 4.174357520686132e-04 0.000000000000000e+00 3.119925617526166e-05 4.300032206119279e-04 6.015642117113872e-04 1.388383901632650e-03 7.545811639572240e-01 1.386029350977906e-06 4.520976216256167e-06 4.069360804059526e-04 0.000000000000000e+00 3.936228991217484e-05 4.227795026722516e-04 5.905417559374522e-04 1.839466885598995e-03 9.997429831646912e-01 3.261567424863104e-06 1.047389561446530e-05 3.948860733925631e-04 0.000000000000000e+00 4.698650973212826e-05 4.153991422335509e-04 5.787521557745391e-04 2.359862906192278e-03 1.282576163869408e+00 6.944611340383862e-06 2.174335775484868e-05 3.788695520491113e-04 0.000000000000000e+00 5.353407452299804e-05 4.073422467980035e-04 5.642669821125986e-04 2.949535826711647e-03 1.603061065917264e+00 1.359131466072257e-05 4.097229267164098e-05 3.544598854057143e-04 0.000000000000000e+00 5.863362735020478e-05 3.974621687844262e-04 5.439437649022944e-04 3.608444699815139e-03 1.961175434589719e+00 2.472025257472639e-05 7.070618139285920e-05 3.190689326676592e-04 0.000000000000000e+00 6.209279400889317e-05 3.840984174246079e-04 5.167299012011780e-04 4.336543770362744e-03 2.356894402148990e+00 4.210433659950113e-05 1.124401504799357e-04 2.675094391338106e-04 0.000000000000000e+00 6.387849215416458e-05 3.655010802458758e-04 4.825945058761029e-04 5.133782478594084e-03 2.790190489565113e+00 6.750880092546452e-05 1.654669194227681e-04 2.023413693448005e-04 0.000000000000000e+00 6.407455407837315e-05 3.405969119644986e-04 4.506830506870981e-04 6.000105463638716e-03 3.261033608423775e+00 1.022729685818059e-04 2.259303088345684e-04 1.456159402304751e-04 0.000000000000000e+00 6.283218003639273e-05 3.098660691942277e-04 4.399065712470418e-04 6.935452567361056e-03 3.769391063016017e+00 1.468074925832467e-04 2.865723542716517e-04 1.381330610954125e-04 0.000000000000000e+00 7.820095823954960e-05 2.757449398193310e-04 4.677387518437002e-04 7.939758838537370e-03 4.315227552608415e+00 2.001602893529946e-04 3.381854754252061e-04 1.794249302008602e-04 0.000000000000000e+00 7.409421491313353e-05 2.419853913335588e-04 5.142618033475992e-04 9.012954537366280e-03 4.898505173894514e+00 2.598410366720777e-04 3.715643591499996e-04 2.288928193019105e-04 0.000000000000000e+00 6.879787766947929e-05 2.121809619478272e-04 5.671202500831463e-04 1.015496514031144e-02 5.519183423626813e+00 3.220337948439166e-04 3.810821390356588e-04 2.603890621189159e-04 0.000000000000000e+00 6.250704830512988e-05 1.885611867353391e-04 6.084330356982093e-04 1.136571134527642e-02 6.177219201429278e+00 3.821721464329647e-04 3.665647920036209e-04 2.679795789986861e-04 0.000000000000000e+00 5.669589801478907e-05 1.717481184078214e-04 6.318577106776174e-04 1.264510907711180e-02 6.872566812790456e+00 4.356914719850042e-04 3.321474694300054e-04 2.558394741134394e-04 0.000000000000000e+00 3.798442836724252e-05 1.608988575941034e-04 6.383578195804852e-04 1.399306949345314e-02 7.605177972236348e+00 4.787252454776301e-04 3.384794402858357e-04 2.304798647807109e-04 0.000000000000000e+00 3.140318931299682e-05 1.540865386210664e-04 6.596845675550434e-04 1.540949899089039e-02 8.375001806683503e+00 5.085991315075208e-04 3.050926459004620e-04 1.973375212555291e-04 0.000000000000000e+00 3.086095697831784e-05 1.492451148294030e-04 6.540303178761586e-04 1.689429921146768e-02 9.181984858971585e+00 5.240986938169944e-04 2.741361353003920e-04 1.622950810779857e-04 0.000000000000000e+00 3.087982289173299e-05 1.450174765471636e-04 6.418728660416958e-04 1.844736704951344e-02 1.002607109157555e+01 5.255329168698495e-04 2.556462289375607e-04 1.306294334055710e-04 0.000000000000000e+00 3.118109672963453e-05 1.408717312984592e-04 6.269555178678289e-04 2.006859465880007e-02 1.090720189049688e+01 5.145796203376491e-04 2.142476243955170e-04 1.086075280004246e-04 0.000000000000000e+00 3.140062720460567e-05 1.366739055395593e-04 5.962033565337029e-04 2.175786946003322e-02 1.182531606933399e+01 4.938792689623131e-04 2.238611948908423e-04 9.363211564712599e-05 0.000000000000000e+00 3.127891920707142e-05 1.323015164412655e-04 5.783885104596049e-04 2.351507414866882e-02 1.278034987353073e+01 4.664447476408012e-04 2.280156877603595e-04 9.371845281870059e-05 0.000000000000000e+00 3.081481361263198e-05 1.275644002659182e-04 5.554348494051830e-04 2.534008670305921e-02 1.377223698480380e+01 4.351013043877956e-04 2.261669370449924e-04 8.763232252228578e-05 0.000000000000000e+00 3.030436573036074e-05 1.223384039646406e-04 5.259848920154716e-04 2.723278039292598e-02 1.480090852574770e+01 4.021510507591401e-04 2.193523777657220e-04 7.914829877481958e-05 0.000000000000000e+00 3.020437835971903e-05 1.167150814148251e-04 4.928691746098061e-04 2.919302378816102e-02 1.586629306461805e+01 3.692739640628228e-04 2.087087514034389e-04 6.845519343759315e-05 0.000000000000000e+00 3.085216614112011e-05 1.109481626477258e-04 4.579471054932205e-04 3.122068076795215e-02 1.696831662029134e+01 3.375770774496553e-04 1.947399856146755e-04 5.669003073540372e-05 0.000000000000000e+00 3.225301233258726e-05 1.052151074674489e-04 4.237885085069529e-04 3.331561053023624e-02 1.810690266740270e+01 3.077310948661268e-04 1.781665790308203e-04 4.290867742487358e-05 0.000000000000000e+00 3.411171260144617e-05 9.957452772619191e-05 3.890744064344878e-04 3.547766760147619e-02 1.928197214165958e+01 2.801181054363383e-04 1.597367860330130e-04 3.945670039737696e-05 0.000000000000000e+00 3.605949947827885e-05 9.424539422397890e-05 3.573166932185158e-04 3.770670184676284e-02 2.049344344533214e+01 2.549154299168316e-04 1.417957089512619e-04 3.718787904212480e-05 0.000000000000000e+00 3.786231622885708e-05 8.923562063940931e-05 3.280227148346258e-04 4.000255848024048e-02 2.174123245291950e+01 2.321366095612553e-04 1.142258406561674e-04 3.604515496463207e-05 0.000000000000000e+00 3.943072882563305e-05 8.438064697631316e-05 2.947587290942521e-04 4.236507807585510e-02 2.302525251699132e+01 2.116724351136592e-04 1.081663644391920e-04 3.451489309788692e-05 0.000000000000000e+00 4.065194267351594e-05 7.959436043779446e-05 2.752357771665326e-04 4.479409657842548e-02 2.434541447420490e+01 1.933465911616517e-04 1.024292996639861e-04 2.787224942421480e-05 0.000000000000000e+00 4.129653423503013e-05 7.501418185266507e-05 2.574269711057323e-04 4.728944531503487e-02 2.570162665149656e+01 1.769804019252995e-04 9.728816889559901e-05 2.569102287148306e-05 0.000000000000000e+00 4.119868035209242e-05 7.087803191802982e-05 2.422967879266157e-04 4.985095100674408e-02 2.709379487244760e+01 1.624225718639539e-04 9.271976912659132e-05 2.338672744616012e-05 0.000000000000000e+00 4.050562639032283e-05 6.721534704010341e-05 2.290257009122091e-04 5.247843578062394e-02 2.852182246382393e+01 1.495261733270571e-04 8.859382504822718e-05 2.145686218005361e-05 0.000000000000000e+00 3.964137414071671e-05 6.368558666608451e-05 2.176001702483324e-04 5.517171718210678e-02 2.998561026228904e+01 1.381510153338987e-04 8.464940814904471e-05 2.103521050351478e-05 0.000000000000000e+00 3.897956636669062e-05 5.763071595846937e-05 2.068662225264073e-04 5.793060818765683e-02 3.148505662129033e+01 1.281778398072521e-04 8.174105073761795e-05 2.000845493751562e-05 0.000000000000000e+00 3.861187737296641e-05 5.463763956011912e-05 1.994001530386554e-04 6.075491721775639e-02 3.302005741811698e+01 1.194796065554234e-04 8.094791553140733e-05 1.923292065488234e-05 0.000000000000000e+00 3.841856350441553e-05 5.181089630681270e-05 1.926941432557541e-04 6.364444815021009e-02 3.459050606113087e+01 1.119162180278501e-04 9.818483885959316e-05 1.742354145287195e-05 0.000000000000000e+00 3.822898632061937e-05 4.913088624592586e-05 1.947604869681909e-04 6.659900033376298e-02 3.619629349716784e+01 1.053592621864758e-04 1.036854781455666e-04 1.912583666123487e-05 0.000000000000000e+00 3.798126952702874e-05 4.657658120401220e-05 1.925165689527357e-04 6.961836860203485e-02 3.783730821911102e+01 9.967961357626409e-05 1.081178548869138e-04 1.624327814912602e-05 0.000000000000000e+00 3.770994068304802e-05 4.413967191323736e-05 1.897174939384638e-04 7.270234328776626e-02 3.951343627363347e+01 9.473662031646128e-05 1.123136977326420e-04 1.866545935845928e-05 0.000000000000000e+00 3.733503140858141e-05 4.316932764517632e-05 1.872921143101170e-04 7.585071023737844e-02 4.122456126911140e+01 9.041067152649238e-05 1.161457578076155e-04 1.603407387962716e-05 0.000000000000000e+00 3.676081504868822e-05 4.111096034227411e-05 1.851957140509823e-04 7.906325082584409e-02 4.297056438370646e+01 8.662569852618162e-05 1.140040454814881e-04 1.526896719272357e-05 0.000000000000000e+00 3.641697887696682e-05 3.895427091735882e-05 1.799111099455353e-04 8.233974197186933e-02 4.475132437361696e+01 8.332044076461939e-05 9.398758406723786e-05 1.486020436265485e-05 0.000000000000000e+00 3.703284483431381e-05 3.685466115404008e-05 1.642017960061931e-04 8.567995615338375e-02 4.656671758149677e+01 8.041728439685554e-05 9.116475105713421e-05 1.464439647467671e-05 0.000000000000000e+00 3.868694787379211e-05 3.463865356347933e-05 1.590907864665782e-04 8.908366142334079e-02 4.841661794504267e+01 7.782610447355761e-05 8.990873796760755e-05 1.399437210764387e-05 0.000000000000000e+00 4.057199398956397e-05 3.247956548310140e-05 1.548292550663622e-04 9.255062142582338e-02 5.030089700574776e+01 7.547012210555964e-05 8.803660763772618e-05 1.373270271319796e-05 0.000000000000000e+00 4.178293664177074e-05 3.022205172768419e-05 1.477494849850515e-04 9.608059541245717e-02 5.221942391782199e+01 7.331534226185164e-05 8.621348526104402e-05 1.678604625013886e-05 0.000000000000000e+00 4.194406857124993e-05 2.946513816694442e-05 1.445467732860489e-04 9.967333825912839e-02 5.417206545727817e+01 7.133554943824101e-05 8.471198219313087e-05 1.265693936148395e-05 0.000000000000000e+00 4.118717812722105e-05 2.832800370680031e-05 1.406890650629572e-04 1.033286004830050e-01 5.615868603118298e+01 6.946618549746009e-05 8.367768407480707e-05 1.168588923249013e-05 0.000000000000000e+00 3.995981223657010e-05 2.798883982785811e-05 1.376821247064635e-04 1.070461282598614e-01 5.817914768707291e+01 6.761799720263393e-05 8.313922529897531e-05 1.047690864629623e-05 0.000000000000000e+00 3.879674476018192e-05 2.741914549061922e-05 1.349786368911461e-04 1.108256634417039e-01 6.023331012253348e+01 6.573183979191531e-05 8.334715448515659e-05 9.836072348339632e-06 0.000000000000000e+00 3.814352172004507e-05 2.650252912353316e-05 1.315135755262297e-04 1.146669435746969e-01 6.232103069494224e+01 6.382512603452489e-05 8.365006423936512e-05 9.305238083295847e-06 0.000000000000000e+00 3.796696594197451e-05 2.521470916297529e-05 1.300163171572286e-04 1.185697019173878e-01 6.444216443137381e+01 6.196937022233806e-05 8.251426898119621e-05 1.414573381500658e-05 0.000000000000000e+00 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