% Filename : LM_Channel_0550_RSTE_vv_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_vv_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=v, u_j=v) % % 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 Production 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 3.291247697727705e-17 1.905325531010412e-13 6.164014893195633e-21 2.990472908472599e-16 3.526373250781214e-38 1.905327906259561e-13 4.960055044689327e-06 2.695770315769523e-03 0.000000000000000e+00 1.979906812034430e-17 4.793448148669893e-11 3.893294519631336e-07 3.893137111021249e-07 3.196110773631444e-11 5.505838638547716e-07 2.479993079318454e-05 1.347866438236128e-02 0.000000000000000e+00 5.718715105704153e-17 1.190806834999537e-09 1.937830091153111e-06 1.937439544532435e-06 7.944974029885635e-10 2.740229826153925e-06 6.943835963846290e-05 3.773947405876450e-02 0.000000000000000e+00 6.979642490974393e-15 9.204436856592954e-09 5.370817215951427e-06 5.367807265530423e-06 6.149908747484221e-09 7.593362558845513e-06 1.487923519430945e-04 8.086805528724719e-02 0.000000000000000e+00 3.045069976977183e-13 4.121433444656635e-08 1.130187544067107e-05 1.128847004972235e-05 2.760811188451553e-08 1.597386632500499e-05 2.727765073938793e-04 1.482529538173228e-01 0.000000000000000e+00 5.953041809954491e-12 1.331884183922839e-07 2.014035584014362e-05 2.009741634422869e-05 8.958527977503529e-08 2.845287053634588e-05 4.513023265247940e-04 2.452810310211923e-01 0.000000000000000e+00 6.795639144319064e-11 3.445697905901826e-07 3.198790922572411e-05 3.187834206592822e-05 2.331799814768472e-07 4.516224231318083e-05 6.942775224545450e-04 3.773370898258246e-01 0.000000000000000e+00 5.236302013172773e-10 7.552232618777384e-07 4.654690697473441e-05 4.631174678674879e-05 5.155026479780174e-07 6.566756082560138e-05 1.006645277842999e-03 5.471077304725138e-01 0.000000000000000e+00 2.908965078169405e-09 1.438660383591971e-06 6.283267733961532e-05 6.239851235052332e-05 9.934687259152844e-07 8.856961339812534e-05 1.388383901632650e-03 7.545811639572240e-01 0.000000000000000e+00 1.221006596020343e-08 2.426670386208008e-06 7.942402408839201e-05 7.872457982434968e-05 1.700988282503423e-06 1.118683034210321e-04 1.839466885598995e-03 9.997429831646912e-01 0.000000000000000e+00 3.433547065611856e-08 3.697033572280065e-06 9.496923734013286e-05 9.397301946425652e-05 2.640446631667111e-06 1.336814333509699e-04 2.359862906192278e-03 1.282576163869408e+00 0.000000000000000e+00 9.587538408810094e-08 5.170914239083312e-06 1.083296812123405e-04 1.070681490459961e-04 3.779114816877331e-06 1.524465074268982e-04 2.949535826711647e-03 1.603061065917264e+00 0.000000000000000e+00 2.290355926314080e-07 6.724978555882768e-06 1.186798028750967e-04 1.172672547004096e-04 5.054447512760159e-06 1.670548708328541e-04 3.608444699815139e-03 1.961175434589719e+00 0.000000000000000e+00 4.801993191367748e-07 8.214143053291612e-06 1.255485502685687e-04 1.241855880177863e-04 6.386728697165473e-06 1.768982526391934e-04 4.336543770362744e-03 2.356894402148990e+00 0.000000000000000e+00 9.026370440410950e-07 9.497982610455697e-06 1.288009327996189e-04 1.277569843083292e-04 7.695672226819296e-06 1.818289776903974e-04 5.133782478594084e-03 2.790190489565113e+00 0.000000000000000e+00 1.549875987519031e-06 1.046369727384207e-05 1.285730916409670e-04 1.281491081567463e-04 8.906814412074020e-06 1.820561897730269e-04 6.000105463638716e-03 3.261033608423775e+00 0.000000000000000e+00 2.472381373222066e-06 1.104119471551241e-05 1.251863937623493e-04 1.256643600727855e-04 9.993471699691045e-06 1.780198154777655e-04 6.935452567361056e-03 3.769391063016017e+00 0.000000000000000e+00 3.719798413210215e-06 1.120935749531515e-05 1.543813962760511e-04 1.564019164790992e-04 1.094639498144137e-05 2.203508229012559e-04 7.939758838537370e-03 4.315227552608415e+00 0.000000000000000e+00 5.344646396365186e-06 1.099420410140566e-05 1.445625263222026e-04 1.481884298262671e-04 1.179326168341252e-05 2.077177256304598e-04 9.012954537366280e-03 4.898505173894514e+00 0.000000000000000e+00 7.397332849861850e-06 1.046001906947368e-05 1.317145092054606e-04 1.375957553389586e-04 1.258649030114738e-05 1.913213424917884e-04 1.015496514031144e-02 5.519183423626813e+00 0.000000000000000e+00 9.903790937371414e-06 9.695436861793496e-06 1.172707028667344e-04 1.250140966102598e-04 1.339088087318198e-05 1.724886789431968e-04 1.136571134527642e-02 6.177219201429278e+00 0.000000000000000e+00 1.283135769748650e-05 8.333772334704335e-06 1.060318130530334e-04 1.133917960295781e-04 1.426912580475102e-05 1.566465711052949e-04 1.264510907711180e-02 6.872566812790456e+00 0.000000000000000e+00 1.606659543667680e-05 7.864411236563172e-06 9.592419554251993e-05 7.596885673448503e-05 1.526847055669644e-05 1.246026850841853e-04 1.399306949345314e-02 7.605177972236348e+00 0.000000000000000e+00 1.942268998013319e-05 6.996318896682557e-06 5.469806255913069e-05 6.280637862599364e-05 1.641234869069110e-05 8.736174104004292e-05 1.540949899089039e-02 8.375001806683503e+00 0.000000000000000e+00 2.266547653458753e-05 6.279015652171157e-06 5.199977162677963e-05 6.172191395663569e-05 1.769703460751828e-05 8.590637816662639e-05 1.689429921146768e-02 9.181984858971585e+00 0.000000000000000e+00 2.554274408959247e-05 5.740222556394746e-06 5.086468738960007e-05 6.175964578346597e-05 1.909213890546716e-05 8.632127182305606e-05 1.844736704951344e-02 1.002607109157555e+01 0.000000000000000e+00 2.781998018020808e-05 4.725036638134941e-06 5.119649465115177e-05 6.236219345926907e-05 2.054965205815628e-05 8.791296665331507e-05 2.006859465880007e-02 1.090720189049688e+01 0.000000000000000e+00 2.932821273781408e-05 4.629352755386365e-06 5.260942644363873e-05 6.280125440921133e-05 2.202270099418331e-05 8.987949507260600e-05 2.175786946003322e-02 1.182531606933399e+01 0.000000000000000e+00 3.003026590347802e-05 4.555819572806240e-06 6.709062184364794e-05 6.255783841414284e-05 2.348093032912092e-05 9.944124465105999e-05 2.351507414866882e-02 1.278034987353073e+01 0.000000000000000e+00 3.009494763217101e-05 4.463797216746070e-06 7.275111904444144e-05 6.162962722526396e-05 2.490900978654869e-05 1.031359607569795e-04 2.534008670305921e-02 1.377223698480380e+01 0.000000000000000e+00 3.546176034026858e-05 4.332277282338758e-06 7.824465769139815e-05 6.060873146072147e-05 2.629181568326986e-05 1.084583303915687e-04 2.723278039292598e-02 1.480090852574770e+01 0.000000000000000e+00 3.650239213203385e-05 4.182343908572876e-06 8.287980160151985e-05 6.040875671943806e-05 2.760106823899541e-05 1.123833395204092e-04 2.919302378816102e-02 1.586629306461805e+01 0.000000000000000e+00 3.776714846667203e-05 4.068623646096859e-06 8.621806434897947e-05 6.170433228224022e-05 2.879209518144943e-05 1.162448931742670e-04 3.122068076795215e-02 1.696831662029134e+01 0.000000000000000e+00 3.949701413730726e-05 4.034624122057226e-06 1.179345851514995e-04 6.450602466517452e-05 2.981343050099089e-05 1.432994296875139e-04 3.331561053023624e-02 1.810690266740270e+01 0.000000000000000e+00 4.151727813798183e-05 4.961932265789918e-06 1.182037449296303e-04 6.822342520289233e-05 3.005071282111005e-05 1.458695018112333e-04 3.547766760147619e-02 1.928197214165958e+01 0.000000000000000e+00 3.765008735137578e-05 5.006933605938254e-06 1.231327467587492e-04 7.211899895655771e-05 3.070343072687015e-05 1.508248071603291e-04 3.770670184676284e-02 2.049344344533214e+01 0.000000000000000e+00 4.089589820104252e-05 4.308765675609021e-06 1.241194185661313e-04 7.572463245771417e-05 3.112959837194223e-05 1.542722978119084e-04 4.000255848024048e-02 2.174123245291950e+01 0.000000000000000e+00 4.387568478111488e-05 4.387685515597125e-06 9.526273082046798e-05 7.886145765126610e-05 3.134878155352972e-05 1.349858918196336e-04 4.236507807585510e-02 2.302525251699132e+01 0.000000000000000e+00 4.600411412136487e-05 4.475069681446221e-06 9.849754265734166e-05 8.130388534703188e-05 3.184721897556688e-05 1.395089165726736e-04 4.479409657842548e-02 2.434541447420490e+01 0.000000000000000e+00 4.700636195593631e-05 4.593280528327539e-06 1.020899142375874e-04 8.259306847006027e-05 3.170468676066894e-05 1.431078229911788e-04 4.728944531503487e-02 2.570162665149656e+01 0.000000000000000e+00 4.721598302382402e-05 4.684062307797050e-06 1.053670854166059e-04 8.239736070418484e-05 3.099602970247349e-05 1.452707509794448e-04 4.985095100674408e-02 2.709379487244760e+01 0.000000000000000e+00 4.738761365657080e-05 4.641776538748001e-06 1.079578039291647e-04 8.101125278064566e-05 3.062907403886219e-05 1.463659205562409e-04 5.247843578062394e-02 2.852182246382393e+01 0.000000000000000e+00 4.814331623042739e-05 4.460849244831976e-06 1.099418641930090e-04 7.928274828143342e-05 3.016636262387458e-05 1.470396381418777e-04 5.517171718210678e-02 2.998561026228904e+01 0.000000000000000e+00 4.950230094986728e-05 4.252089468796067e-06 1.115515613146566e-04 7.795913273338124e-05 2.961666231209235e-05 1.478752242905110e-04 5.793060818765683e-02 3.148505662129033e+01 0.000000000000000e+00 5.101343491011534e-05 4.148751327999015e-06 1.128976863966716e-04 7.722375474593281e-05 2.901373309967074e-05 1.488985402147055e-04 6.075491721775639e-02 3.302005741811698e+01 0.000000000000000e+00 5.211573060912131e-05 4.252629801635354e-06 1.137526250144520e-04 7.683712700883106e-05 2.871122686348281e-05 1.496732192805660e-04 6.364444815021009e-02 3.459050606113087e+01 0.000000000000000e+00 5.250395969051129e-05 4.495159078173746e-06 1.135523615407395e-04 7.645797264123874e-05 2.812347511338939e-05 1.493578336836122e-04 6.659900033376298e-02 3.619629349716784e+01 0.000000000000000e+00 5.268608178017501e-05 5.482588380342617e-06 1.118187693829630e-04 7.596253905405748e-05 2.757822494594337e-05 1.477842515484112e-04 6.961836860203485e-02 3.783730821911102e+01 0.000000000000000e+00 5.343996039073643e-05 5.564976754183024e-06 1.085194753826707e-04 7.541988136609604e-05 2.701260204967564e-05 1.451933677718727e-04 7.270234328776626e-02 3.951343627363347e+01 0.000000000000000e+00 5.472015699397002e-05 5.126824760024974e-06 1.043378516775297e-04 7.467006281716282e-05 2.638387030324461e-05 1.420517303644852e-04 7.585071023737844e-02 4.122456126911140e+01 0.000000000000000e+00 6.810533071095959e-05 3.660285128774957e-06 1.003522490079866e-04 7.352163009737643e-05 2.548677298722020e-05 1.441433776796964e-04 7.906325082584409e-02 4.297056438370646e+01 0.000000000000000e+00 7.119264104930097e-05 3.441014810235124e-06 9.728350584797956e-05 7.283395775393364e-05 2.477313428474773e-05 1.430482674378291e-04 8.233974197186933e-02 4.475132437361696e+01 0.000000000000000e+00 7.196698849694101e-05 3.442393167984219e-06 9.493725675695810e-05 7.406568966862762e-05 2.405630204798806e-05 1.423678765694421e-04 8.567995615338375e-02 4.656671758149677e+01 0.000000000000000e+00 6.167860217566506e-05 4.301808986175866e-06 9.233936781929211e-05 7.737389574758423e-05 2.335089294657656e-05 1.374092366645144e-04 8.908366142334079e-02 4.841661794504267e+01 0.000000000000000e+00 6.308859351133683e-05 5.252804355065245e-06 8.872808646383045e-05 8.114398797912793e-05 2.297739508568178e-05 1.378141624886377e-04 9.255062142582338e-02 5.030089700574776e+01 0.000000000000000e+00 6.357556068036653e-05 4.948276137903084e-06 7.314787928901112e-05 8.356587328354149e-05 2.235651237440773e-05 1.300000708470099e-04 9.608059541245717e-02 5.221942391782199e+01 0.000000000000000e+00 6.339839244735096e-05 3.096705480268048e-06 7.166239724650753e-05 8.388813714249985e-05 2.179428886396543e-05 1.291381256995041e-04 9.967333825912839e-02 5.417206545727817e+01 0.000000000000000e+00 6.285987778077587e-05 2.839583708637834e-06 6.995174501833082e-05 8.237435625444211e-05 2.133333583031568e-05 1.268594493419579e-04 1.033286004830050e-01 5.615868603118298e+01 0.000000000000000e+00 6.213063655213444e-05 2.895132643869616e-06 6.833176387195589e-05 7.991962447314021e-05 2.082625980219639e-05 1.239302514260666e-04 1.070461282598614e-01 5.817914768707291e+01 0.000000000000000e+00 6.162888834910349e-05 3.013426500211114e-06 6.692808161236845e-05 7.759348952036385e-05 2.061162273173158e-05 1.213760986945632e-04 1.108256634417039e-01 6.023331012253348e+01 0.000000000000000e+00 6.168635754028657e-05 2.983876196574548e-06 6.571937436528920e-05 7.628704344009014e-05 2.044051761058368e-05 1.198777466743864e-04 1.146669435746969e-01 6.232103069494224e+01 0.000000000000000e+00 6.204144051078425e-05 2.830176833381295e-06 6.470070254707959e-05 7.593393188394903e-05 2.024254877283407e-05 1.192436746491143e-04 1.185697019173878e-01 6.444216443137381e+01 0.000000000000000e+00 6.178572596922690e-05 2.718609385852504e-06 6.381576024094528e-05 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