% The data in this file was extracted from a direct numerical simulation % of fully developed ZPG Turbulent Boundary Layer flow. Particulars are % listed below. % % % References: % -- M. P. Simens J. Jimenez, S. Hoyas, Y. Mizuno % "A high-resolution code for turbulent boundary layers" % Journal of Computational Physics % Volume 228, Issue 11, 20 June 2009, Pages 4218-4231 % % -- G. Borrell, J.A. Sillero, J. Jimenez % "A code for direct numerical simulation of turbulent boundary layers % at high Reynolds numbers in BG/P supercomputers" % Computers & Fluids, Volume 80, 10 July 2013, Pages 37-43 % % -- J.A. Sillero, J. Jimenez, R.D. Moser % "One-point statistics for turbulent wall-bounded flows at Reynolds numbers up to \delta^+\approx2000" % Phys. Fluids 25, 105102 % % All the quantities are expresed in wall units % % Remark: The data of this file has been averaged in the interval % (R_{theta_0},R_{theta_1})=(3973.7713 , 4026.3981 ) % % Date of file created: 28-Oct-2013 % Date of file revised: 28-Oct-2013 % % --End of Header--- % % % % u_{tau}=0.0390 , Re_{theta}=4000.5563 , Re_{tau}=1307.8514 , % delta_99=9.5810 , delta^*=1.5709 , theta=1.1412 , % % [C1] [C2] [C3] [C4] [C5] [C6] [C7] [C8] [C9] [C10] [C11] [C12] [C13] [C14] [C15] [C16] [C17] [C18] [C19] [C20] [C21] [C22] [C23] [C24] [C25] [C26] [C27] [C28] [C29] [C30] [C31] [C32] [C33] [C34] [C35] %-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- % kz*Lz/2Pi Lambda_z+ y+=4.92 y+=9.42 y+=15.20 y+=20.36 y+=24.17 y+=30.44 y+=34.97 y+=39.79 y+=44.89 y+=50.25 y+=55.88 y+=58.80 y+=64.82 y+=71.10 y+=74.33 y+=80.99 y+=84.41 y+=91.43 y+=95.03 y+=98.68 y/d99=0.099 y/d99=0.199 y/d99=0.300 y/d99=0.399 y/d99=0.502 y/d99=0.600 y/d99=0.698 y/d99=0.801 y/d99=0.901 y/d99=0.997 y/d99=1.097 y/d99=1.199 y/d99=1.296 %-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 1 1.59014530e+04 2.93142009e-06 8.76208922e-06 1.38957047e-05 1.60083538e-05 1.67616652e-05 1.72023374e-05 1.70682374e-05 1.67166586e-05 1.61007233e-05 1.52582788e-05 1.44038731e-05 1.40120378e-05 1.33438885e-05 1.27243690e-05 1.24128601e-05 1.18093468e-05 1.15772230e-05 1.10716117e-05 1.07254778e-05 1.03790183e-05 8.25723537e-06 5.25002837e-06 3.73317733e-06 3.12189582e-06 2.54899506e-06 1.90552105e-06 1.30375709e-06 7.63888880e-07 3.64913360e-07 1.21592372e-07 4.23249247e-08 6.33381127e-09 8.89010729e-10 2 7.95072649e+03 2.67885815e-06 8.45292993e-06 1.37702850e-05 1.59408095e-05 1.66714327e-05 1.70995200e-05 1.70900568e-05 1.68342023e-05 1.63927504e-05 1.56475564e-05 1.50033035e-05 1.46935707e-05 1.39821563e-05 1.31193214e-05 1.27101065e-05 1.20878671e-05 1.18222237e-05 1.12547354e-05 1.09660919e-05 1.06712456e-05 8.52862449e-06 5.07609093e-06 3.84434321e-06 3.22216205e-06 2.55031818e-06 1.98222596e-06 1.41272599e-06 8.28001403e-07 3.76235854e-07 1.33184617e-07 4.20767664e-08 5.74672008e-09 8.90494697e-10 3 5.30048433e+03 2.52693642e-06 8.38647634e-06 1.36444410e-05 1.59409042e-05 1.66569522e-05 1.68080278e-05 1.66161072e-05 1.63181515e-05 1.59224645e-05 1.53797753e-05 1.47633900e-05 1.44604245e-05 1.38268622e-05 1.31165238e-05 1.27291926e-05 1.18668978e-05 1.14849944e-05 1.08788729e-05 1.05731121e-05 1.02651482e-05 8.50647030e-06 5.31331871e-06 4.03677135e-06 3.43217305e-06 2.67112357e-06 2.00819146e-06 1.53394154e-06 9.07967024e-07 4.07797584e-07 1.32385514e-07 4.23006520e-08 6.75898130e-09 9.71010047e-10 4 3.97536324e+03 2.42138260e-06 8.18569668e-06 1.34152301e-05 1.55617727e-05 1.62310391e-05 1.65510865e-05 1.64618128e-05 1.62135562e-05 1.58154883e-05 1.52421881e-05 1.46578901e-05 1.43744957e-05 1.38187490e-05 1.32512732e-05 1.29401839e-05 1.22164760e-05 1.18498368e-05 1.12750419e-05 1.10082024e-05 1.07661030e-05 8.52895433e-06 5.62832776e-06 4.48198291e-06 3.69484049e-06 2.96773787e-06 2.32187970e-06 1.57657909e-06 9.50976015e-07 4.49229320e-07 1.41996321e-07 4.57308520e-08 6.90693978e-09 1.02112468e-09 5 3.18029060e+03 2.01442319e-06 7.97161325e-06 1.36039144e-05 1.59947305e-05 1.68427904e-05 1.73623004e-05 1.73082409e-05 1.69304675e-05 1.64189723e-05 1.58006753e-05 1.51671799e-05 1.48790087e-05 1.42750298e-05 1.35628475e-05 1.31349988e-05 1.23256494e-05 1.19741349e-05 1.12496774e-05 1.08925611e-05 1.05900466e-05 8.66170867e-06 5.91376878e-06 4.52581559e-06 3.72930782e-06 2.99907401e-06 2.30759530e-06 1.68225809e-06 9.78225709e-07 4.52221836e-07 1.55124273e-07 4.76136689e-08 7.40308448e-09 9.08374362e-10 6 2.65024216e+03 1.41162938e-06 7.44868636e-06 1.35039045e-05 1.60794410e-05 1.68976647e-05 1.73659065e-05 1.72803671e-05 1.70301510e-05 1.66461113e-05 1.60529862e-05 1.53338864e-05 1.50041743e-05 1.43672134e-05 1.35051946e-05 1.31319081e-05 1.25075092e-05 1.22079990e-05 1.16610032e-05 1.13783613e-05 1.10910844e-05 9.24657871e-06 5.83003139e-06 4.71090455e-06 4.01944430e-06 3.21182403e-06 2.48143853e-06 1.73879883e-06 1.06037206e-06 4.78150475e-07 1.86427359e-07 4.87006988e-08 7.53853310e-09 1.04219155e-09 7 2.27163614e+03 1.39733586e-06 7.45642019e-06 1.31722603e-05 1.55933223e-05 1.63828796e-05 1.68404308e-05 1.68239257e-05 1.66473682e-05 1.62373806e-05 1.57049980e-05 1.51604088e-05 1.48498961e-05 1.41254533e-05 1.33859631e-05 1.30366647e-05 1.23705605e-05 1.20623299e-05 1.15062459e-05 1.12069833e-05 1.09428194e-05 9.23352273e-06 5.87371117e-06 4.68557861e-06 3.90924303e-06 3.14749588e-06 2.64645259e-06 1.88458541e-06 1.19036052e-06 5.10896623e-07 1.74460543e-07 5.33863824e-08 8.24441395e-09 1.34693376e-09 8 1.98768162e+03 4.63581506e-07 6.89116413e-06 1.34922556e-05 1.62783997e-05 1.71730330e-05 1.75217229e-05 1.73081272e-05 1.68043722e-05 1.62986767e-05 1.57104241e-05 1.49897085e-05 1.46387139e-05 1.40466773e-05 1.35370560e-05 1.32835450e-05 1.28889811e-05 1.27305775e-05 1.22411418e-05 1.19369552e-05 1.16417629e-05 9.77013773e-06 6.33048084e-06 5.26427873e-06 4.34559893e-06 3.43633228e-06 2.88957587e-06 1.89725131e-06 1.10329003e-06 5.39844426e-07 1.91870017e-07 5.82451892e-08 9.84950160e-09 1.31888196e-09 9 1.76682811e+03 -3.27884842e-08 6.03651511e-06 1.25717000e-05 1.54576808e-05 1.65324527e-05 1.73379706e-05 1.74765531e-05 1.73205313e-05 1.69528052e-05 1.64103418e-05 1.56714960e-05 1.52705421e-05 1.44382003e-05 1.37795808e-05 1.35229511e-05 1.29002996e-05 1.25771731e-05 1.19960813e-05 1.16773220e-05 1.13563018e-05 9.78690159e-06 6.60799656e-06 5.64099789e-06 4.48541377e-06 3.74996526e-06 2.84261066e-06 1.98150681e-06 1.21237711e-06 5.82317118e-07 2.15154193e-07 6.03183330e-08 9.74453876e-09 1.74791155e-09 10 1.59014530e+03 -6.13525718e-07 6.11380551e-06 1.30083452e-05 1.55721267e-05 1.64512274e-05 1.71754601e-05 1.73002564e-05 1.72246161e-05 1.68730473e-05 1.63613637e-05 1.57490758e-05 1.53861684e-05 1.47868337e-05 1.41819876e-05 1.38652979e-05 1.31238391e-05 1.27820766e-05 1.21995331e-05 1.19912983e-05 1.18160553e-05 1.00503818e-05 6.76093533e-06 5.51596643e-06 4.51546038e-06 3.68735442e-06 2.81632486e-06 1.93139145e-06 1.18251344e-06 6.34764634e-07 2.23746053e-07 6.74662965e-08 1.22874032e-08 1.64918374e-09 11 1.44558663e+03 -1.12570813e-06 5.98997508e-06 1.34083291e-05 1.63983458e-05 1.74964571e-05 1.81607311e-05 1.78620496e-05 1.73668407e-05 1.68160688e-05 1.63710832e-05 1.58363787e-05 1.55815665e-05 1.51154731e-05 1.43305921e-05 1.38899629e-05 1.31613710e-05 1.28437660e-05 1.22355815e-05 1.19901771e-05 1.17547809e-05 1.03599377e-05 7.10078443e-06 5.69441197e-06 4.97090033e-06 3.99124795e-06 2.90330973e-06 2.10673271e-06 1.26541099e-06 6.37951803e-07 2.36008257e-07 7.13136389e-08 1.06037105e-08 1.51117407e-09 12 1.32512108e+03 -1.57595390e-06 5.30929703e-06 1.28511552e-05 1.60690543e-05 1.73059024e-05 1.82052294e-05 1.82690145e-05 1.81088809e-05 1.77415809e-05 1.72637086e-05 1.66930092e-05 1.63571639e-05 1.56025577e-05 1.49072034e-05 1.45941695e-05 1.38066286e-05 1.34268725e-05 1.28155037e-05 1.24770490e-05 1.21730589e-05 1.04741586e-05 7.30719978e-06 6.18546794e-06 4.80979133e-06 3.85046813e-06 3.05649732e-06 2.07512486e-06 1.31012445e-06 6.47837122e-07 2.34550306e-07 7.47452368e-08 1.26681393e-08 1.77521726e-09 13 1.22318869e+03 -1.55667278e-06 5.21271022e-06 1.24133888e-05 1.55869736e-05 1.67894760e-05 1.76106082e-05 1.76289894e-05 1.73438698e-05 1.70000726e-05 1.65530913e-05 1.60323843e-05 1.57602290e-05 1.52581408e-05 1.46733366e-05 1.43055434e-05 1.36411394e-05 1.34132743e-05 1.29188100e-05 1.26838757e-05 1.24606024e-05 1.12018081e-05 7.72316182e-06 6.14378701e-06 4.75475402e-06 3.78633339e-06 2.95661687e-06 2.17298379e-06 1.26588517e-06 6.28525924e-07 2.22468451e-07 6.96289452e-08 1.33666506e-08 2.19712588e-09 14 1.13581807e+03 -3.38401842e-06 3.73250829e-06 1.19054873e-05 1.54486176e-05 1.67746970e-05 1.79284416e-05 1.82006130e-05 1.81373945e-05 1.77332161e-05 1.72950524e-05 1.67488849e-05 1.64870790e-05 1.60518957e-05 1.56527759e-05 1.53881113e-05 1.47547401e-05 1.44364675e-05 1.38331165e-05 1.35431103e-05 1.32526587e-05 1.15802650e-05 7.80489408e-06 6.06082731e-06 4.82973124e-06 3.86061974e-06 3.15995863e-06 1.96791225e-06 1.28949812e-06 6.74007891e-07 2.29351173e-07 7.27406078e-08 1.50507945e-08 2.27418106e-09 15 1.06009687e+03 -3.15521451e-06 4.22424281e-06 1.23276987e-05 1.58997474e-05 1.72079944e-05 1.79440234e-05 1.82162440e-05 1.82603658e-05 1.79396851e-05 1.74013423e-05 1.68323720e-05 1.65925100e-05 1.60855501e-05 1.55921454e-05 1.53214724e-05 1.47488137e-05 1.44795784e-05 1.38724539e-05 1.35241774e-05 1.32207335e-05 1.14235149e-05 7.89714766e-06 6.05685515e-06 4.77916216e-06 3.92846316e-06 3.00375568e-06 2.17289442e-06 1.21098417e-06 6.75479726e-07 2.42763812e-07 7.78746099e-08 1.69073769e-08 2.43182360e-09 16 9.93840811e+02 -2.05092575e-06 5.23579425e-06 1.30664310e-05 1.64012662e-05 1.74343210e-05 1.80872947e-05 1.83718580e-05 1.85231024e-05 1.83597140e-05 1.79755334e-05 1.74016626e-05 1.71187239e-05 1.65545553e-05 1.60114000e-05 1.57155743e-05 1.50619811e-05 1.47266770e-05 1.40379433e-05 1.37852557e-05 1.35866587e-05 1.16973331e-05 7.65539396e-06 6.38505937e-06 4.77981198e-06 4.12592961e-06 2.92035032e-06 2.23178220e-06 1.27059711e-06 6.76125189e-07 2.42388832e-07 7.82029460e-08 1.57951365e-08 2.36795559e-09 17 9.35379587e+02 -2.14980226e-06 4.98488823e-06 1.24082627e-05 1.55928867e-05 1.71202316e-05 1.84689219e-05 1.86723208e-05 1.85740690e-05 1.83966613e-05 1.81360352e-05 1.78859886e-05 1.76541590e-05 1.68561758e-05 1.59760869e-05 1.55464694e-05 1.47915711e-05 1.44593157e-05 1.38278725e-05 1.35120138e-05 1.31825133e-05 1.14466482e-05 7.64264670e-06 6.40118479e-06 4.93516401e-06 3.63882389e-06 2.98384869e-06 2.19953524e-06 1.24720887e-06 6.58828671e-07 2.60296244e-07 7.02960297e-08 1.59519451e-08 2.26555537e-09 18 8.83414054e+02 -2.98363885e-06 4.33272786e-06 1.26882976e-05 1.64099563e-05 1.76216907e-05 1.83424073e-05 1.84941935e-05 1.83647938e-05 1.80587276e-05 1.78065165e-05 1.74959906e-05 1.73333397e-05 1.71909315e-05 1.67123068e-05 1.64268792e-05 1.57593309e-05 1.53713216e-05 1.46488597e-05 1.43333490e-05 1.40546432e-05 1.20789187e-05 7.89682573e-06 5.74006259e-06 4.86501856e-06 3.89134441e-06 2.79117363e-06 2.12887698e-06 1.24654733e-06 6.43019957e-07 2.63578851e-07 8.41453596e-08 1.57713758e-08 2.67772173e-09 19 8.36918578e+02 -2.69101038e-06 4.63903415e-06 1.28147879e-05 1.63141896e-05 1.77411591e-05 1.90734613e-05 1.94986692e-05 1.96668169e-05 1.94744945e-05 1.89479267e-05 1.84050187e-05 1.81302285e-05 1.75948843e-05 1.69337801e-05 1.64992217e-05 1.56974707e-05 1.54231830e-05 1.49093171e-05 1.46159733e-05 1.43395354e-05 1.21815857e-05 8.08854521e-06 5.75828538e-06 4.62158555e-06 3.77457367e-06 2.88963703e-06 2.01489849e-06 1.21651927e-06 6.37459046e-07 2.45703091e-07 7.68451689e-08 1.67694309e-08 2.70149135e-09 20 7.95072649e+02 -2.15168658e-06 4.86200872e-06 1.23325549e-05 1.60434064e-05 1.75399751e-05 1.86560803e-05 1.90470041e-05 1.93297961e-05 1.92406398e-05 1.88157210e-05 1.82900874e-05 1.79914760e-05 1.73917872e-05 1.67208237e-05 1.63514826e-05 1.56655540e-05 1.52941738e-05 1.47872146e-05 1.46074491e-05 1.43680434e-05 1.23314567e-05 7.86591674e-06 5.69978155e-06 4.78543049e-06 3.67598552e-06 2.67206721e-06 1.92706644e-06 1.23427894e-06 6.33064031e-07 2.49509716e-07 7.73412035e-08 1.65373983e-08 2.68470275e-09 21 7.57212047e+02 -2.36587345e-06 5.40307573e-06 1.35731301e-05 1.68519515e-05 1.82460295e-05 1.93595598e-05 1.96436607e-05 1.96104950e-05 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