% Filename : LM_Couette_R0220_020PI_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_Couette_R0220_020PI_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 Couette 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, % Extreme-scale motions in turbulent plane Couette flows, % 2018, Journal of Fluid Mechanics, vol. 842, pp. 128-145 % % The paper can be found at http://doi.org/10.1017/jfm.2018.131 % % 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 = 1280 % Grid (wall-normal) ny = 192 % Grid (spanwise) nz = 768 % Streamwise domain size Lx = 20pi % Spanwise domain size Lz = 5pi % B-Spline order n = 7 % Kinematic Viscosity nu = 2.50000e-04 % channel half width delta = 1.000 % Velocity at wall U_mean = (+/-) 1.000 % Friction vel u_tau = 5.47883e-02 % Re_tau Re_tau = 219.153 % % % All data are normalized by u_tau and nu (signified with a ^+) except % for y/delta % % This file was last updated on 3/7/2018. % % % % 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 8.849083048396513e-13 4.346538008480082e-03 0.000000000000000e+00 2.293213642193627e-14 4.346538503372976e-03 6.146933350904805e-03 2.059765673623204e-05 4.514042136904974e-03 3.840671227797354e-13 3.633644353098642e-09 4.346942799889120e-03 0.000000000000000e+00 4.516586010486321e-07 4.346481926029233e-03 6.147179628736134e-03 1.029823439926414e-04 2.256890898285087e-02 4.811972165146897e-11 9.090463496809013e-08 4.348690939732444e-03 0.000000000000000e+00 2.240028391540358e-06 4.346267517600958e-03 6.148265426164799e-03 2.883256182004690e-04 6.318747838032863e-02 1.061883223248662e-09 7.135788216906193e-07 4.353319549313903e-03 0.000000000000000e+00 6.158672305085255e-06 4.345854666505343e-03 6.151255706976104e-03 6.177693459122890e-04 1.353861215402712e-01 1.054475699985097e-08 3.282256077421526e-06 4.363441379977564e-03 0.000000000000000e+00 1.277591459353528e-05 4.345289532003563e-03 6.158052832736054e-03 1.132413839837088e-03 2.481721030163199e-01 6.587764770605700e-08 1.104620669840150e-05 4.382422398040139e-03 0.000000000000000e+00 2.226512079124255e-05 4.344617563596497e-03 6.171126332329544e-03 1.873306006858533e-03 4.105409833052455e-01 3.039342616495177e-07 3.019564859773330e-05 4.412701200598764e-03 0.000000000000000e+00 3.424929596148770e-05 4.343532538372850e-03 6.192119267866911e-03 2.881427511453483e-03 6.314740248223802e-01 1.131415697818632e-06 7.084072378490112e-05 4.565324593331982e-03 0.000000000000000e+00 4.773088617384224e-05 4.340344598712494e-03 6.300169535359583e-03 4.177085301188321e-03 9.154215598633070e-01 3.528164395045458e-06 1.371631444513055e-04 4.584461106991658e-03 0.000000000000000e+00 6.100132541572158e-05 4.331523530444302e-03 6.309417077076199e-03 5.759905750861605e-03 1.262301707274051e+00 9.427860757093455e-06 2.498997519734682e-04 4.637630567506292e-03 0.000000000000000e+00 7.224329936840633e-05 4.309491197199188e-03 6.336956896397035e-03 7.629432426981109e-03 1.672014438199730e+00 2.131528022857229e-05 3.851093182756137e-04 4.720494080835330e-03 0.000000000000000e+00 8.020901996765027e-05 4.264034996949597e-03 6.374416075925015e-03 9.785126219384543e-03 2.144441604929652e+00 4.464259992814897e-05 5.702780847068655e-04 4.808375298983013e-03 0.000000000000000e+00 8.435358239352037e-05 4.186053833557603e-03 6.402598036750895e-03 1.222636549670120e-02 2.679446974967229e+00 8.174496689505807e-05 7.569256444675308e-04 4.666636615311020e-03 0.000000000000000e+00 8.476556459939262e-05 4.072927175513654e-03 6.242625404084543e-03 1.495244628560999e-02 3.276876270314955e+00 1.416574786442925e-04 8.988729046466298e-04 4.525085509627112e-03 0.000000000000000e+00 8.195541997948151e-05 3.922111613377136e-03 6.059105739965900e-03 1.796258247384253e-02 3.936557211963167e+00 2.244418106608499e-04 9.522634323417671e-04 4.245360887619191e-03 0.000000000000000e+00 7.660731588633023e-05 3.719931230217741e-03 5.730962301823274e-03 2.125590603687155e-02 4.658299569569547e+00 3.267105468324054e-04 8.958582166889232e-04 3.831265601392419e-03 0.000000000000000e+00 6.938787437456349e-05 3.471611023785129e-03 5.259841864586634e-03 2.483146728822128e-02 5.441895216315425e+00 4.393867014429402e-04 7.432274117081569e-04 3.304921181969390e-03 0.000000000000000e+00 6.173445231183136e-05 3.103933145155496e-03 4.618310136547425e-03 2.868823515332564e-02 6.287118188922690e+00 5.496334356034336e-04 5.576480108621989e-04 2.643924571455190e-03 0.000000000000000e+00 5.322116068476142e-05 2.847339559816930e-03 3.967103625204148e-03 3.282509746685636e-02 7.193724752814187e+00 6.443720319871421e-04 4.021133419755345e-04 1.927800570514922e-03 0.000000000000000e+00 4.508730304246928e-05 2.578379402858406e-03 3.311870669195311e-03 3.724086129343462e-02 8.161453472398696e+00 7.136545388101734e-04 2.999855692771814e-04 1.404821057293307e-03 0.000000000000000e+00 3.622998106876107e-05 2.273417518955329e-03 2.787402457269825e-03 4.193425327163525e-02 9.190025286460541e+00 7.526696310301434e-04 3.441354357337409e-04 1.004575606526366e-03 0.000000000000000e+00 2.894607567770279e-05 1.834614364160705e-03 2.256174181511899e-03 4.690391998118171e-02 1.027914358863157e+01 7.619940367291754e-04 5.734244521512741e-04 5.511909987000256e-04 0.000000000000000e+00 2.388131134247931e-05 1.581664588661246e-03 1.935348088408043e-03 5.214842833322808e-02 1.142849431292265e+01 7.462963509621140e-04 7.131734470750402e-04 3.079956911859373e-04 0.000000000000000e+00 2.122962046702556e-05 1.278467996386911e-03 1.680893575178825e-03 5.766626598361557e-02 1.263774602429020e+01 7.198144667973176e-04 7.031583952547130e-04 1.792655475839906e-04 0.000000000000000e+00 2.049884732478556e-05 1.030018043080759e-03 1.461760179666048e-03 6.345584176898234e-02 1.390655001421100e+01 6.739832001152249e-04 7.213613083064729e-04 1.529919446917315e-04 0.000000000000000e+00 1.873428046935598e-05 8.584307803019180e-04 1.329068068463500e-03 6.951548616560277e-02 1.523454040123832e+01 6.216355570061418e-04 6.986213433613095e-04 1.414364056761121e-04 0.000000000000000e+00 1.881007740183384e-05 7.092073670997654e-04 1.195703592790048e-03 7.584345177082374e-02 1.662133423651020e+01 5.673134975947364e-04 6.477893122094342e-04 1.335596059943691e-04 0.000000000000000e+00 1.850697584453512e-05 5.869980568091860e-04 1.065751882122360e-03 8.243791380695809e-02 1.806653161417929e+01 5.140912722456868e-04 6.444755952070163e-04 1.196110238278519e-04 0.000000000000000e+00 1.781835369360526e-05 5.025668359277619e-04 9.893870553157086e-04 8.929697064749043e-02 1.956971578673256e+01 4.608884383226889e-04 5.850286202019648e-04 1.039683797909754e-04 0.000000000000000e+00 1.696281883019495e-05 4.601559700059681e-04 8.990213355412523e-04 9.641864436544412e-02 2.113045328516766e+01 4.156435414542609e-04 5.223296469357529e-04 9.081328976706349e-05 0.000000000000000e+00 1.625161036971237e-05 3.980436404272736e-04 8.016229616127256e-04 1.038008813037503e-01 2.274829404399111e+01 3.746305284794190e-04 4.599631133474264e-04 7.657480191481956e-05 0.000000000000000e+00 1.585558776232511e-05 3.443876303839789e-04 7.111110075751034e-04 1.114415526674554e-01 2.442277153100244e+01 3.379132428185500e-04 4.007649261020311e-04 6.294632548949155e-05 0.000000000000000e+00 1.579920321271762e-05 2.977972842020164e-04 6.289903417368198e-04 1.193384551375956e-01 2.615340288182680e+01 3.053391666739983e-04 3.577125026214472e-04 5.345432381470423e-05 0.000000000000000e+00 1.596526712485390e-05 3.030591489572636e-04 5.854738891236264e-04 1.274893115065617e-01 2.793968903915715e+01 2.766175602458881e-04 3.113452061600397e-04 4.575986162367491e-05 0.000000000000000e+00 1.931361184429711e-05 2.643209547510645e-04 5.206123178598796e-04 1.358917713347718e-01 2.978111489666613e+01 2.513908071596613e-04 3.227668353320987e-04 4.290298138351839e-05 0.000000000000000e+00 1.995134202965680e-05 2.300676236059519e-04 4.964781838511825e-04 1.445434116284596e-01 3.167714944754562e+01 2.293024076711108e-04 2.873949856770757e-04 3.898135750273504e-05 0.000000000000000e+00 2.119766328735342e-05 2.021721099184220e-04 4.475984418438788e-04 1.534417375383876e-01 3.362724593763191e+01 2.100110650058577e-04 2.433118190768200e-04 3.508136237502776e-05 0.000000000000000e+00 2.109293118749828e-05 1.774844571376263e-04 3.966893537949119e-04 1.625841830792791e-01 3.563084202307152e+01 1.931884295188104e-04 2.205313354450335e-04 2.958485622735345e-05 0.000000000000000e+00 1.748325845679734e-05 1.494969120935701e-04 3.590718078184148e-04 1.719681118697645e-01 3.768735993248277e+01 1.785301848257678e-04 1.974664534518734e-04 2.350863330658163e-05 0.000000000000000e+00 1.784407830882041e-05 1.361896138343692e-04 3.291168512735501e-04 1.815908178926267e-01 3.979620663356607e+01 1.657443726441719e-04 1.748868490771900e-04 1.990987167950542e-05 0.000000000000000e+00 1.765957640948598e-05 1.229100073680822e-04 3.010803789759010e-04 1.914495262751283e-01 4.195677400411503e+01 1.545596163169624e-04 1.600282090969189e-04 1.736514527311114e-05 0.000000000000000e+00 1.732666644729021e-05 1.104176491065701e-04 2.788502815639144e-04 2.015413940891936e-01 4.416843900737884e+01 1.447655116283621e-04 1.387904830657682e-04 1.315394848030447e-05 0.000000000000000e+00 1.686927959994637e-05 1.030851553546476e-04 2.576695505516986e-04 2.118635111712157e-01 4.643056387172582e+01 1.361975455566639e-04 1.194366807583800e-04 1.206794241039196e-05 0.000000000000000e+00 1.635099836481441e-05 9.635429313795498e-05 2.372595533373301e-04 2.224129009612524e-01 4.874249627455565e+01 1.287116179314250e-04 8.734515110642285e-05 1.063368239711515e-05 0.000000000000000e+00 1.521370835993221e-05 9.030212103147270e-05 2.110518740624743e-04 2.331865213613683e-01 5.110356953040788e+01 1.221844518138926e-04 7.194622005041264e-05 8.995043029911661e-06 0.000000000000000e+00 1.527604428093966e-05 8.507607870103180e-05 1.961704505111316e-04 2.441812656128760e-01 5.351310278321218e+01 1.165062092758100e-04 5.634885708193762e-05 7.941593053201673e-06 0.000000000000000e+00 1.486407438373998e-05 8.042288689170165e-05 1.826588218014794e-04 2.553939631922236e-01 5.597040120262484e+01 1.115745411513689e-04 5.361143724753869e-05 7.135275034784833e-06 0.000000000000000e+00 1.489285699363916e-05 7.614456395281334e-05 1.745298938554385e-04 2.668213807252695e-01 5.847475618439507e+01 1.072938337711217e-04 5.216212371779249e-05 6.384834631501611e-06 0.000000000000000e+00 1.500331217316042e-05 7.206514011677199e-05 1.675345292615465e-04 2.784602229196816e-01 6.102544555470325e+01 1.042915182499434e-04 5.001684153538922e-05 6.346546397025221e-06 0.000000000000000e+00 1.508645565183369e-05 6.872735644162438e-05 1.613370896487048e-04 2.903071335151914e-01 6.362173377841214e+01 1.007938937395489e-04 4.855390594324510e-05 6.177867745215756e-06 0.000000000000000e+00 1.501229359443324e-05 6.552484546339735e-05 1.556471559021429e-04 3.023586962514291e-01 6.626287217117100e+01 9.766076973829492e-05 4.810073496278124e-05 5.743648004740688e-06 0.000000000000000e+00 1.479992796437505e-05 6.268570906781868e-05 1.505430706573511e-04 3.146114358530614e-01 6.894809911531175e+01 9.483013397834790e-05 4.657663900026852e-05 5.558323939123962e-06 0.000000000000000e+00 1.564879143870526e-05 5.964940432100302e-05 1.451190880671128e-04 3.270618190319470e-01 7.167664027947446e+01 9.225838068142814e-05 4.502568034391656e-05 5.072305462953663e-06 0.000000000000000e+00 1.457297857128066e-05 5.708683966908723e-05 1.399381286733337e-04 3.397062555060204e-01 7.444770884189904e+01 8.994930143174233e-05 4.406849655565635e-05 4.512856243193420e-06 0.000000000000000e+00 1.468192338331215e-05 5.526409666559584e-05 1.360136239781070e-04 3.525410990346119e-01 7.726050571731891e+01 8.790158125101035e-05 4.409037952350729e-05 4.791317847862852e-06 0.000000000000000e+00 1.524506776355109e-05 5.328981634033130e-05 1.326743841945949e-04 3.655626484699042e-01 8.011421978739098e+01 8.606517522009682e-05 4.242889033467879e-05 4.582594811355125e-06 0.000000000000000e+00 1.495333721274578e-05 5.172712496827036e-05 1.290995868895881e-04 3.787671488242206e-01 8.300802813459546e+01 8.675315285232169e-05 4.154555874021746e-05 4.613825310041039e-06 0.000000000000000e+00 1.505363521847774e-05 5.030759699699309e-05 1.274446248542264e-04 3.921507923528420e-01 8.594109627953846e+01 8.520860230744093e-05 4.067232318741696e-05 4.476520824991310e-06 0.000000000000000e+00 1.525702263387348e-05 4.886889210463146e-05 1.247379037969671e-04 4.057097196520344e-01 8.891257842158828e+01 8.382063748477359e-05 4.021073108391237e-05 4.330259120929749e-06 0.000000000000000e+00 1.547917937138518e-05 4.872860550527459e-05 1.227276171065754e-04 4.194400207719746e-01 9.192161768277666e+01 8.251134722505934e-05 3.988480046814945e-05 4.372504384173455e-06 0.000000000000000e+00 1.558015436786791e-05 4.816432798266998e-05 1.207478277642685e-04 4.333377363442519e-01 9.496734635489435e+01 7.722939444366927e-05 3.934534703139137e-05 4.274014583807549e-06 0.000000000000000e+00 1.545671388257186e-05 4.780708202604399e-05 1.163475076216727e-04 4.473988587236192e-01 9.804888614970950e+01 7.618616045782492e-05 3.896992154040740e-05 4.051887043916921e-06 0.000000000000000e+00 1.518120037270306e-05 4.755797208857608e-05 1.153339990698439e-04 4.616193331436672e-01 1.011653484522374e+02 7.532665220035568e-05 3.866111743221887e-05 3.876567653743824e-06 0.000000000000000e+00 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