% Filename : LM_Couette_R0093_020PI_vel_fluc_stdev.txt % % Description : Estimated uncertainty due to finite statistical sample, expressed as the standard deviation, % for the statistical data provided in the file: LM_Couette_R0093_020PI_vel_fluc_prof.txt % % Total number of data points : 64 % % % % % 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(leemk@uh.edu) for questions. % % % The parameters defining the simulation from which this data were extracted are: % % Grid (streamwise) nx = 640 % Grid (wall-normal) ny = 128 % Grid (spanwise) nz = 288 % Streamwise domain size Lx = 20pi % Spanwise domain size Lz = 5pi % B-Spline order n = 7 % Kinematic Viscosity nu = 6.66667e-04 % channel half width delta = 1.000 % Velocity at wall U_mean = (+/-) 1.000 % Friction vel u_tau = 6.19521e-02 % Re_tau Re_tau = 92.928 % % % 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: % % y/delta : Grid point in wall-normal direction, Normalized by channel half width % y^+ : Grid point in wall-normal direction % u'u' : Variance of u % v'v' : Variance of v % w'w' : Variance of w % u'v' : Covariance of u and v % u'w' : Covariance of u and w % v'w' : Covariance of v and w % k : Turbulent kinetic energy, k = 0.5*(u'u' + v'v' + w'w') % % * Data at y/delta = 1.0 is not computed due to code performance optimization % % ** u'w' and v'w' should be zero due to (statistical) symmetries in the flow. % These are reported here none-the-less as an indicator of the quality of the statistics. % % -----------End of header--------- % % y/delta y^+ u'u' v'v' w'w' u'v' u'w' v'w' k %-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 0.000000000000000e+00 0.000000000000000e+00 0.000000000000000e+00 0.000000000000000e+00 1.082697459395832e-37 0.000000000000000e+00 8.074427204205376e-39 0.000000000000000e+00 5.413487296979160e-38 4.814781378392752e-05 4.474289989264460e-03 1.554554437609742e-04 3.949867247841293e-16 7.294539745813412e-09 3.979416878950614e-13 1.412733714482898e-05 2.795370913818595e-14 7.772772196605874e-05 2.407066139520353e-04 2.236843396438600e-02 7.761169445748474e-04 2.452824662202587e-13 1.813476353790047e-07 4.984862123599545e-11 7.056189951657963e-05 3.498839084018773e-12 3.880584828808544e-04 6.738422300787139e-04 6.261895000913356e-02 2.166042127504667e-03 1.486498347072540e-11 1.404278013267180e-06 1.099752982025495e-09 1.971218984462946e-04 7.704319870949088e-11 1.083021291356002e-03 1.443558326269967e-03 1.341472864611176e-01 4.614969802770586e-03 3.057348015958351e-10 6.309073419532731e-06 1.091747153501444e-08 4.207195949662459e-04 7.379514521456579e-10 2.307487057650156e-03 2.645631688031891e-03 2.458538082365311e-01 8.385531199137637e-03 3.423572264704865e-09 2.050104622362308e-05 6.818517084839464e-08 7.665412120022284e-04 4.566188475146779e-09 4.192778129850740e-03 4.375547662071155e-03 4.066117973665867e-01 1.369632194437274e-02 2.429093262132749e-08 5.348626189856407e-05 3.145279107827906e-07 1.256911911871623e-03 2.074172073279697e-08 6.848213190035562e-03 6.728435792545118e-03 6.252614717896664e-01 2.070071716979253e-02 1.264230244345017e-07 1.186755083449923e-04 1.171160500289703e-06 1.909744502229540e-03 7.538443586826819e-08 1.035052867292303e-02 9.750857883363828e-03 9.061297364417193e-01 2.932680194673006e-02 5.090216804303519e-07 2.299089961822977e-04 3.656294808762761e-06 2.723636726597084e-03 2.272923160801389e-07 1.466385156454775e-02 1.344077661230325e-02 1.249027266622089e+00 3.928719124890357e-02 1.646483277943352e-06 3.964023140803838e-04 9.796516517661130e-06 3.677812242846322e-03 5.827507306875567e-07 1.964459552735459e-02 1.779570471808556e-02 1.653722925600746e+00 5.022438469416084e-02 4.454155355548481e-06 6.208320113774874e-04 2.307464971025834e-05 4.744976275501657e-03 1.308070848947938e-06 2.511411092460227e-02 2.281270667696611e-02 2.119943920420510e+00 6.170760540407808e-02 1.041736504117699e-05 8.984013483331561e-04 4.863203952770892e-05 5.890750334308172e-03 2.637991773807401e-06 3.085707292586898e-02 2.848840068147995e-02 2.647375985778413e+00 7.324177141721165e-02 2.161858513235529e-05 1.217958730671245e-03 9.281067826073870e-05 7.073764697754495e-03 4.878708780021798e-06 3.662595040119752e-02 3.481896092001469e-02 3.235663595862318e+00 8.430450831279555e-02 4.062937824023793e-05 1.565038126213019e-03 1.616977392910627e-04 8.246444959997493e-03 8.390604239123530e-06 4.215952180986251e-02 4.180012015567314e-02 3.884410204000000e+00 9.440956440303930e-02 7.028635386684541e-05 1.916823679088078e-03 2.588871807083624e-04 9.357384394555010e-03 1.353313244196569e-05 4.721452372935651e-02 4.942717260268714e-02 4.593178509959126e+00 1.002044057336326e-01 1.134113117995511e-04 2.280736561532242e-03 3.834316102803461e-04 1.035763708356268e-02 2.058889435568297e-05 5.011521113848374e-02 5.769497709844340e-02 5.361490754717924e+00 1.066727807055951e-01 1.725337442113250e-04 2.653295165033080e-03 5.290987495234487e-04 1.120985207731272e-02 2.970743282461008e-05 5.335295654082740e-02 6.659796056898437e-02 6.188829042507967e+00 1.115191291054896e-01 2.496310348574055e-04 3.012553223308397e-03 6.853720778764891e-04 1.188985335313195e-02 4.087534808768531e-05 5.578004560105630e-02 7.613012178564638e-02 7.074635689911818e+00 1.165581536700752e-01 3.458846132362621e-04 3.370162889530443e-03 8.400026991746119e-04 1.237573956152299e-02 5.389501546429160e-05 5.830368946525705e-02 8.628503541030430e-02 8.018313601780362e+00 1.182639742066153e-01 4.615204712723315e-04 3.730688924580207e-03 9.822794354175837e-04 1.265258237416279e-02 6.840809033860454e-05 5.916185138275414e-02 9.705585632649549e-02 9.019226673716386e+00 1.183622983254709e-01 5.958564045350235e-04 4.201220843727974e-03 1.105421825130999e-03 1.274515230130625e-02 8.402258884104477e-05 5.921916701187289e-02 1.084353242535030e-01 1.007670022085306e+01 1.173857522409052e-01 7.300126590290602e-04 4.563568148427941e-03 1.207116970641940e-03 1.272524683427614e-02 1.004764457876804e-04 5.873834757186071e-02 1.204157686402891e-01 1.119002143263839e+01 1.161105480724279e-01 8.972167900016278e-04 4.797420128978391e-03 1.288604057328828e-03 1.308126374906839e-02 1.177281939111138e-04 5.810653924374986e-02 1.329891138359783e-01 1.235843985331896e+01 1.153504356074227e-01 1.076390711611577e-03 5.139325283861991e-03 1.353393661009261e-03 1.315169348364453e-02 1.358834928658082e-04 5.773494235763892e-02 1.461468845334070e-01 1.358116788779919e+01 1.154151764784462e-01 1.263374751223074e-03 5.477614739267888e-03 1.406489011435559e-03 1.307153178297918e-02 1.550430669863360e-04 5.777599705012619e-02 1.598802114820680e-01 1.485738133253512e+01 1.160434993876984e-01 1.395460532635999e-03 5.797473287616179e-03 1.453722369330626e-03 1.283263470358992e-02 1.752263836287182e-04 5.809830409909038e-02 1.741798374666018e-01 1.618621993110474e+01 1.167428122689108e-01 1.586224293021463e-03 6.232344831220241e-03 1.466911634971596e-03 1.214533229547536e-02 1.962832346020774e-04 5.845990601698132e-02 1.890361235468010e-01 1.756678795408055e+01 1.167574877534582e-01 1.816317741153424e-03 6.428774146531345e-03 1.507061984277250e-03 1.183302458249027e-02 2.182439866083024e-04 5.847422315358897e-02 2.044390555549258e-01 1.899815480281335e+01 1.152078041374413e-01 1.992431878296333e-03 6.385562889616571e-03 1.546895004155121e-03 1.135813396662368e-02 2.414410779588812e-04 5.770091709058432e-02 2.203782508459474e-01 2.047935563672029e+01 9.450216802751299e-02 2.164741325853942e-03 6.491083531624468e-03 1.587411647161369e-03 1.076915646536122e-02 2.674872942081402e-04 4.737478240668416e-02 2.368429652961714e-01 2.200939202365436e+01 9.358605317199531e-02 2.335255548947990e-03 6.576361582185448e-03 1.630394413478331e-03 1.011991658604889e-02 2.918566211621198e-04 4.692294560886515e-02 2.538221005455230e-01 2.358723261291702e+01 8.933881685152603e-02 2.504949271694992e-03 6.605791318425473e-03 1.678271036598611e-03 9.431908269442008e-03 3.168786718480768e-04 4.480885918606627e-02 2.713042114786114e-01 2.521181383046006e+01 8.505478422435880e-02 2.674083124022311e-03 6.577890420570148e-03 1.733456083627422e-03 8.742791186467230e-03 3.426392839034400e-04 4.267533152299887e-02 2.892775139395317e-01 2.688204059580828e+01 9.124297724938746e-02 2.841643105094287e-03 6.528614024769981e-03 1.797867113024146e-03 8.075907161669045e-03 3.693581746946184e-04 4.576018639044587e-02 3.077298926752047e-01 2.859678706021989e+01 8.373813834552861e-02 3.003124850367655e-03 6.466572788932758e-03 1.873248675140802e-03 7.432670218972283e-03 3.961824426209226e-04 4.202056382319361e-02 3.266489095018970e-01 3.035489736558649e+01 7.600799450491283e-02 3.153406067074624e-03 6.590428857446545e-03 1.960081632721013e-03 6.873123233370877e-03 4.352838832637654e-04 3.817915973082627e-02 3.460218116894204e-01 3.215518642356176e+01 6.810679616304001e-02 3.292545065510309e-03 6.378483829287059e-03 2.106313209679039e-03 6.187869692648492e-03 4.648032663285645e-04 3.424201218007922e-02 3.658355405573572e-01 3.399644071439321e+01 6.075461688877571e-02 3.151093866805942e-03 6.320954944669726e-03 2.193155378382996e-03 5.340552770299011e-03 4.918026958758470e-04 3.058188735702833e-02 3.860767402775169e-01 3.587741910491870e+01 5.412138432523231e-02 3.246496101644508e-03 6.288756605855101e-03 2.289568553690451e-03 4.941671490709143e-03 5.015594306021652e-04 2.729108113406824e-02 4.067317668766912e-01 3.779685368517636e+01 4.756333828410849e-02 3.311421261158331e-03 6.358854110724972e-03 2.393189620819828e-03 4.466179442465325e-03 5.265695326413256e-04 2.405032060648504e-02 4.277866974336383e-01 3.975345062306378e+01 4.288926284891663e-02 3.369628710166119e-03 6.316322447979771e-03 2.497587159092261e-03 3.963874922592047e-03 5.482957394920636e-04 2.174131547672938e-02 4.492273394640984e-01 4.174589103647076e+01 3.538794818828647e-02 3.424363859292828e-03 6.276193852882478e-03 2.597231266126292e-03 3.693558492520791e-03 5.666361365508969e-04 1.805148023083314e-02 4.710392404875134e-01 4.377283188229730e+01 3.107783056423174e-02 3.478310569081618e-03 6.239472364816103e-03 2.692792404000635e-03 3.476177191091747e-03 5.840637184557113e-04 1.594413067860228e-02 4.932076977690006e-01 4.583290686175786e+01 2.736826300605453e-02 3.531187712514815e-03 6.221522963559274e-03 2.791564424853186e-03 3.303880912402194e-03 6.027332635446864e-04 1.414388962251618e-02 5.157177682300171e-01 4.792472734136154e+01 2.426883630075912e-02 3.601396723684478e-03 6.253444638638643e-03 2.903344721496940e-03 3.187902421931938e-03 6.207773664617075e-04 1.265950279042316e-02 5.385542785210315e-01 5.004688328894745e+01 2.172464661229091e-02 3.677151021879119e-03 6.313510665008681e-03 3.028425995454798e-03 3.122062646086662e-03 6.365304294008800e-04 1.146017154086063e-02 5.617018352494142e-01 5.219794422414419e+01 1.991202744912910e-02 3.756130928872131e-03 6.244949318530639e-03 3.152017213316121e-03 3.161257112420283e-03 6.461306516819861e-04 1.060184829028312e-02 5.851448353556523e-01 5.437646018261292e+01 1.884123164972859e-02 3.825301111436650e-03 6.485273882822564e-03 3.259661179634968e-03 3.124514197323668e-03 6.589666812826541e-04 1.014499526869177e-02 6.088674766308949e-01 5.658096269342394e+01 1.833365383861823e-02 3.878893485430213e-03 6.613733934092778e-03 3.347220013954258e-03 3.104602644550639e-03 6.682985643950795e-04 9.936173235916385e-03 6.328537683687377e-01 5.880996576890798e+01 1.828313300640351e-02 3.915081025924254e-03 6.756647586441631e-03 3.408142206512652e-03 3.181397925740647e-03 7.083343011237527e-04 9.940486640209838e-03 6.570875421440694e-01 6.106196690631499e+01 1.867291828708609e-02 4.167032103729981e-03 6.916812191953884e-03 3.440641018483159e-03 3.184374880401161e-03 7.102274062229362e-04 1.017207359401799e-02 6.815524627117115e-01 6.333544810060531e+01 1.947894631691241e-02 4.201373034674242e-03 7.043641644554454e-03 3.456763570182556e-03 3.078871911799627e-03 7.059303001554161e-04 1.056756562092880e-02 7.062320390175080e-01 6.562887686769037e+01 2.062082274636886e-02 4.211370318321874e-03 7.162279960844748e-03 3.354105207009144e-03 3.042317386266419e-03 6.933257429654103e-04 1.111589205746354e-02 7.311096353144395e-01 6.794070727743329e+01 2.192711743799950e-02 3.947712165588704e-03 7.296063759119186e-03 3.318161953125235e-03 2.970408645972901e-03 6.717203878050821e-04 1.172193943913817e-02 7.561684823762714e-01 7.026938099571314e+01 2.319700634586101e-02 3.962577805453814e-03 7.406253160456015e-03 3.484650389195809e-03 2.736052699986470e-03 6.405125534448359e-04 1.233547437424840e-02 7.813916888011762e-01 7.261332833485017e+01 2.442696141649235e-02 4.043473884546490e-03 7.431324032670722e-03 3.549722834625967e-03 2.652885527910062e-03 6.253075807320814e-04 1.292527274350879e-02 8.067622523977100e-01 7.497096931168434e+01 2.625701030535085e-02 4.078993435431898e-03 7.876400694601110e-03 3.483408307431737e-03 2.422317742922978e-03 5.788746314137735e-04 1.385736686318427e-02 8.322630716454701e-01 7.734071471259355e+01 2.714489210823674e-02 4.277224027099681e-03 7.888811051539948e-03 3.417845749553941e-03 2.173558212722287e-03 5.194784392915955e-04 1.429486929594593e-02 8.578769572227056e-01 7.972096716473389e+01 2.843142784731232e-02 4.287807002106197e-03 7.911181772171656e-03 3.298178947834939e-03 1.930010347603241e-03 4.708827645854920e-04 1.491071909195343e-02 8.835866435931137e-01 8.211012221277981e+01 2.945606246755015e-02 4.280967908377620e-03 7.962980669156117e-03 3.390401367533775e-03 1.646290466593260e-03 3.980991302687830e-04 1.540612997691284e-02 9.093748006440093e-01 8.450656940043839e+01 2.870768185162302e-02 4.358810069972794e-03 7.839113411652339e-03 3.662700611997226e-03 1.283615365291505e-03 3.178632036875059e-04 1.503813420608462e-02 9.352240453680229e-01 8.690869335600851e+01 3.185470104912000e-02 4.270426281650046e-03 7.734876759890422e-03 3.553091362273968e-03 9.520361750807910e-04 2.382129691164552e-04 1.652866327056204e-02 9.611169535804548e-01 8.931487488125360e+01 3.181637451337437e-02 4.283616839230325e-03 7.732964467018272e-03 3.644623025565429e-03 6.002561586526321e-04 1.454844767453654e-04 1.651082826396667e-02 9.870360716643837e-01 9.172349204285356e+01 3.033324506484545e-02 4.339004333535602e-03 7.955802084573157e-03 3.623785376668242e-03 2.016994295075153e-04 4.891260481195048e-05 1.582898845140862e-02