HOM02 Unpublished data, A.A. Wray (1997) The data contained in this file derives from decaying incompressible isotropic turbulence from a DNS simulation with 512x512x512 nodes. The viscosity = 3.5014006E-04. The triply-periodic cubic computational box is 2*pi on each side. R_lambda = 65.11 These data are pdf's of normalized transverse velocity differences, (v(x+dx)-v(x))/v_rms, where v is a component of velocity perpendicular to the direction of the vector dx. The pdf is taken over the entire spatial field and over the velocity components perpendicular to each coordinate direction, but only the positive part of the pdf is stored, since it is symmetric in dv. The first column is the abscissa of the pdf. The next five columns are the pdf values for five different dx. From left to right the dx are 4*L/3 + b, 4*L/6 + b, 4*L/9 + b, 4*L/12 + b, 4*L/15 +b, where b = pi/512 and L is the integral scale (pi/2)*integral(E(k)/k)/integral(E(k)). b = pi/512 L is the integral scale (pi/2)*integral(E(k)/k)/integral(E(k)). u' is the one-component rms value of the fluctuating velocity pdf ---------------------------------------------------------------------------- dv/u' dx=4L/3 +b dx=4L/6 +b dx=4L/9 +b dx=L/12 +b dx=4L/15 +b 2.0000000e-02 3.0040306e-01 3.3990881e-01 3.7389144e-01 4.0622905e-01 4.3948567e-01 5.9999999e-02 3.0006483e-01 3.3961770e-01 3.7349549e-01 4.0544090e-01 4.3836790e-01 9.9999998e-02 2.9957810e-01 3.3868048e-01 3.7232006e-01 4.0388331e-01 4.3606216e-01 1.4000000e-01 2.9873654e-01 3.3740345e-01 3.7051857e-01 4.0160659e-01 4.3316615e-01 1.8000000e-01 2.9763219e-01 3.3561668e-01 3.6824885e-01 3.9857265e-01 4.2903960e-01 2.1999999e-01 2.9611170e-01 3.3349749e-01 3.6537033e-01 3.9454302e-01 4.2412454e-01 2.5999999e-01 2.9460448e-01 3.3117604e-01 3.6187291e-01 3.9011097e-01 4.1809374e-01 2.9999997e-01 2.9252940e-01 3.2814232e-01 3.5800958e-01 3.8479432e-01 4.1143894e-01 3.3999999e-01 2.9036769e-01 3.2482949e-01 3.5338134e-01 3.7892330e-01 4.0386167e-01 3.7999998e-01 2.8801814e-01 3.2121378e-01 3.4846649e-01 3.7268674e-01 3.9561707e-01 4.1999998e-01 2.8548527e-01 3.1726837e-01 3.4300816e-01 3.6563113e-01 3.8668883e-01 4.6000000e-01 2.8248888e-01 3.1302124e-01 3.3739591e-01 3.5813662e-01 3.7724236e-01 4.9999999e-01 2.7927977e-01 3.0837506e-01 3.3122990e-01 3.5011232e-01 3.6719435e-01 5.3999998e-01 2.7598837e-01 3.0355346e-01 3.2463235e-01 3.4175310e-01 3.5686016e-01 5.7999994e-01 2.7241069e-01 2.9821905e-01 3.1770110e-01 3.3303604e-01 3.4604543e-01 6.1999996e-01 2.6891312e-01 2.9279900e-01 3.1039223e-01 3.2399631e-01 3.3499885e-01 6.5999999e-01 2.6471525e-01 2.8713065e-01 3.0302504e-01 3.1468937e-01 3.2361215e-01 6.9999995e-01 2.6072976e-01 2.8119946e-01 2.9532623e-01 3.0528238e-01 3.1215709e-01 7.3999997e-01 2.5642353e-01 2.7519062e-01 2.8736901e-01 2.9540044e-01 3.0062187e-01 7.7999999e-01 2.5197864e-01 2.6881546e-01 2.7931643e-01 2.8576422e-01 2.8899181e-01 8.1999995e-01 2.4727517e-01 2.6244131e-01 2.7099794e-01 2.7593765e-01 2.7741569e-01 8.5999997e-01 2.4241662e-01 2.5587872e-01 2.6285622e-01 2.6604432e-01 2.6586998e-01 8.9999999e-01 2.3764803e-01 2.4923275e-01 2.5451240e-01 2.5595692e-01 2.5448343e-01 9.3999996e-01 2.3274942e-01 2.4249987e-01 2.4593849e-01 2.4610850e-01 2.4320088e-01 9.7999998e-01 2.2763702e-01 2.3562109e-01 2.3761223e-01 2.3626432e-01 2.3208584e-01 1.0200000e+00 2.2242871e-01 2.2863263e-01 2.2922260e-01 2.2651464e-01 2.2122760e-01 1.0600000e+00 2.1721049e-01 2.2168806e-01 2.2090748e-01 2.1687369e-01 2.1056430e-01 1.0999999e+00 2.1189202e-01 2.1467696e-01 2.1246585e-01 2.0749904e-01 2.0015574e-01 1.1399999e+00 2.0662820e-01 2.0776343e-01 2.0410547e-01 1.9810735e-01 1.8989182e-01 1.1800000e+00 2.0120990e-01 2.0078215e-01 1.9605806e-01 1.8905681e-01 1.8008998e-01 1.2199999e+00 1.9581874e-01 1.9374119e-01 1.8809141e-01 1.8017767e-01 1.7057517e-01 1.2599999e+00 1.9034302e-01 1.8696594e-01 1.8002418e-01 1.7147149e-01 1.6135198e-01 1.3000000e+00 1.8484470e-01 1.8013427e-01 1.7218111e-01 1.6303279e-01 1.5244755e-01 1.3399999e+00 1.7938177e-01 1.7338023e-01 1.6473645e-01 1.5478645e-01 1.4390063e-01 1.3799999e+00 1.7400131e-01 1.6672997e-01 1.5725824e-01 1.4685600e-01 1.3560243e-01 1.4200000e+00 1.6851661e-01 1.6014071e-01 1.4985907e-01 1.3924783e-01 1.2775496e-01 1.4599999e+00 1.6310938e-01 1.5362670e-01 1.4287809e-01 1.3173628e-01 1.2003411e-01 1.4999999e+00 1.5775937e-01 1.4727876e-01 1.3596818e-01 1.2459221e-01 1.1283406e-01 1.5400000e+00 1.5239719e-01 1.4100692e-01 1.2922180e-01 1.1757561e-01 1.0585706e-01 1.5799999e+00 1.4716595e-01 1.3492045e-01 1.2277765e-01 1.1097106e-01 9.9352449e-02 1.6199999e+00 1.4184435e-01 1.2906298e-01 1.1651860e-01 1.0455900e-01 9.2999235e-02 1.6600000e+00 1.3668835e-01 1.2321460e-01 1.1045545e-01 9.8565511e-02 8.7040819e-02 1.6999999e+00 1.3162753e-01 1.1751413e-01 1.0458449e-01 9.2683651e-02 8.1453286e-02 1.7399999e+00 1.2663111e-01 1.1205991e-01 9.8887362e-02 8.7125368e-02 7.6048665e-02 1.7800000e+00 1.2186281e-01 1.0664912e-01 9.3519673e-02 8.1798092e-02 7.0952855e-02 1.8200000e+00 1.1694332e-01 1.0146013e-01 8.8240854e-02 7.6728232e-02 6.6160068e-02 1.8599999e+00 1.1226784e-01 9.6442364e-02 8.3219379e-02 7.1854517e-02 6.1614517e-02 1.9000000e+00 1.0766241e-01 9.1612868e-02 7.8430571e-02 6.7316473e-02 5.7357628e-02 1.9400000e+00 1.0310616e-01 8.6859584e-02 7.3893584e-02 6.2903509e-02 5.3332418e-02 1.9799999e+00 9.8661952e-02 8.2404584e-02 6.9519408e-02 5.8812182e-02 4.9518671e-02 2.0200000e+00 9.4278097e-02 7.8011133e-02 6.5312490e-02 5.4927278e-02 4.5944873e-02 2.0600000e+00 9.0165481e-02 7.3862739e-02 6.1344836e-02 5.1220477e-02 4.2674161e-02 2.0999999e+00 8.6046569e-02 6.9838293e-02 5.7532467e-02 4.7741488e-02 3.9534084e-02 2.1399999e+00 8.2055338e-02 6.5979995e-02 5.3971633e-02 4.4445802e-02 3.6603801e-02 2.1799998e+00 7.8180738e-02 6.2199324e-02 5.0499864e-02 4.1377451e-02 3.3848267e-02 2.2199998e+00 7.4497767e-02 5.8647960e-02 4.7248214e-02 3.8482960e-02 3.1242644e-02 2.2599998e+00 7.0877619e-02 5.5253319e-02 4.4198349e-02 3.5750493e-02 2.8900910e-02 2.3000000e+00 6.7311898e-02 5.2003935e-02 4.1308098e-02 3.3173274e-02 2.6676510e-02 2.3399999e+00 6.3994244e-02 4.8966192e-02 3.8511164e-02 3.0744836e-02 2.4622181e-02 2.3799999e+00 6.0735457e-02 4.5956083e-02 3.5936370e-02 2.8486984e-02 2.2653010e-02 2.4199999e+00 5.7521354e-02 4.3165389e-02 3.3493105e-02 2.6352020e-02 2.0867415e-02 2.4599998e+00 5.4504350e-02 4.0507115e-02 3.1165700e-02 2.4395794e-02 1.9202195e-02 2.4999998e+00 5.1611368e-02 3.7937921e-02 2.8962161e-02 2.2553638e-02 1.7648267e-02 2.5400000e+00 4.8872054e-02 3.5575390e-02 2.6926911e-02 2.0847268e-02 1.6225595e-02 2.5799999e+00 4.6110835e-02 3.3238530e-02 2.5007237e-02 1.9241977e-02 1.4907494e-02 2.6199999e+00 4.3601666e-02 3.1135837e-02 2.3193797e-02 1.7754298e-02 1.3651869e-02 2.6599999e+00 4.1151837e-02 2.9043047e-02 2.1490190e-02 1.6326580e-02 1.2528012e-02 2.6999998e+00 3.8797859e-02 2.7108597e-02 1.9904148e-02 1.5061333e-02 1.1468306e-02 2.7399998e+00 3.6522932e-02 2.5273114e-02 1.8402856e-02 1.3842853e-02 1.0506141e-02 2.7800000e+00 3.4372322e-02 2.3561498e-02 1.7021099e-02 1.2722223e-02 9.6192425e-03 2.8200000e+00 3.2313213e-02 2.1930985e-02 1.5768284e-02 1.1663481e-02 8.7820608e-03 2.8599999e+00 3.0367574e-02 2.0393170e-02 1.4526102e-02 1.0742403e-02 8.0253612e-03 2.8999999e+00 2.8518572e-02 1.8960267e-02 1.3415189e-02 9.8599587e-03 7.3211580e-03 2.9399998e+00 2.6767064e-02 1.7602012e-02 1.2370013e-02 9.0218764e-03 6.7039081e-03 2.9799998e+00 2.5073485e-02 1.6323011e-02 1.1398876e-02 8.2788672e-03 6.1040432e-03 3.0200000e+00 2.3477245e-02 1.5153689e-02 1.0500600e-02 7.5568911e-03 5.5660028e-03 3.0600000e+00 2.1960851e-02 1.4030918e-02 9.6372943e-03 6.9198045e-03 5.0667673e-03 3.0999999e+00 2.0565744e-02 1.2996607e-02 8.8916626e-03 6.3088411e-03 4.5874463e-03 3.1399999e+00 1.9195396e-02 1.2009622e-02 8.1479084e-03 5.7765595e-03 4.1792011e-03 3.1799998e+00 1.7924281e-02 1.1106022e-02 7.4636191e-03 5.2759270e-03 3.8022485e-03 3.2199998e+00 1.6740678e-02 1.0260023e-02 6.8512745e-03 4.8136180e-03 3.4594443e-03 3.2599998e+00 1.5560041e-02 9.4320001e-03 6.2776883e-03 4.3888576e-03 3.1364926e-03 3.3000000e+00 1.4512225e-02 8.7270979e-03 5.7499544e-03 3.9825370e-03 2.8429863e-03 3.3399999e+00 1.3472962e-02 8.0301426e-03 5.2515571e-03 3.6508001e-03 2.5662903e-03 3.3799999e+00 1.2554880e-02 7.3958500e-03 4.8130751e-03 3.3151824e-03 2.3357105e-03 3.4199999e+00 1.1655688e-02 6.8015107e-03 4.3915119e-03 3.0023046e-03 2.1115721e-03 3.4599998e+00 1.0822822e-02 6.2712315e-03 4.0117651e-03 2.7236838e-03 1.9075349e-03 3.4999998e+00 1.0027612e-02 5.7565202e-03 3.6547426e-03 2.4764487e-03 1.7295746e-03 3.5400000e+00 9.2832521e-03 5.2922252e-03 3.3310149e-03 2.2546076e-03 1.5589098e-03 3.5799999e+00 8.6205695e-03 4.8507159e-03 3.0380518e-03 2.0442531e-03 1.4071353e-03 3.6199999e+00 7.9649342e-03 4.4446592e-03 2.7587481e-03 1.8428856e-03 1.2722332e-03 3.6599999e+00 7.3539247e-03 4.0743342e-03 2.5181253e-03 1.6753717e-03 1.1493452e-03 3.6999998e+00 6.8071298e-03 3.7357367e-03 2.2852016e-03 1.5155257e-03 1.0369655e-03 3.7399998e+00 6.2758569e-03 3.4182488e-03 2.0883665e-03 1.3646515e-03 9.3105872e-04 3.7800000e+00 5.7925005e-03 3.1246804e-03 1.8890636e-03 1.2385503e-03 8.3971146e-04 3.8200000e+00 5.3355936e-03 2.8453458e-03 1.7131834e-03 1.1112075e-03 7.5958669e-04 3.8599999e+00 4.9130833e-03 2.6085724e-03 1.5529493e-03 1.0078307e-03 6.8883720e-04 3.8999999e+00 4.5193825e-03 2.3832079e-03 1.4069801e-03 9.0665807e-04 6.1670627e-04 3.9399998e+00 4.1497406e-03 2.1667995e-03 1.2771070e-03 8.1857044e-04 5.5418350e-04 3.9799998e+00 3.8053684e-03 1.9792467e-03 1.1603968e-03 7.3934597e-04 5.0305389e-04 4.0200000e+00 3.4857076e-03 1.7969093e-03 1.0404270e-03 6.7454140e-04 4.4591725e-04 4.0600000e+00 3.2009557e-03 1.6277967e-03 9.4973174e-04 6.0497160e-04 3.9911829e-04 4.0999999e+00 2.9242132e-03 1.4807408e-03 8.6209428e-04 5.4216944e-04 3.6293641e-04 4.1399999e+00 2.6803464e-03 1.3444573e-03 7.7400665e-04 4.9055862e-04 3.2888105e-04 4.1799998e+00 2.4461497e-03 1.2218021e-03 7.0687383e-04 4.3424466e-04 2.9047951e-04 4.2199998e+00 2.2353758e-03 1.1029188e-03 6.3308200e-04 3.9657266e-04 2.5799187e-04 4.2599998e+00 2.0361815e-03 1.0111213e-03 5.7183206e-04 3.5371631e-04 2.3415002e-04 4.2999997e+00 1.8500257e-03 9.1390684e-04 5.1207218e-04 3.2206686e-04 2.1055651e-04 4.3399997e+00 1.6794385e-03 8.2391006e-04 4.6699619e-04 2.8760792e-04 1.8896535e-04 4.3799997e+00 1.5379861e-03 7.3954772e-04 4.1491972e-04 2.5293167e-04 1.6746733e-04 4.4199996e+00 1.3955869e-03 6.7162327e-04 3.7591284e-04 2.3023847e-04 1.5036203e-04 4.4599996e+00 1.2676076e-03 6.0259673e-04 3.3909455e-04 2.0593095e-04 1.3497968e-04 4.4999995e+00 1.1542656e-03 5.4282136e-04 3.0080165e-04 1.8492962e-04 1.1894541e-04 4.5400000e+00 1.0457976e-03 4.9484271e-04 2.7303273e-04 1.6346264e-04 1.0823520e-04 4.5799999e+00 9.4310381e-04 4.4299909e-04 2.4248536e-04 1.4714897e-04 9.5072515e-05 4.6199999e+00 8.5378997e-04 4.0171048e-04 2.1990079e-04 1.3291524e-04 8.7094180e-05 4.6599999e+00 7.7076256e-04 3.5815561e-04 1.9447568e-04 1.2119611e-04 7.6973811e-05 4.6999998e+00 7.0016831e-04 3.2335520e-04 1.7491791e-04 1.0460304e-04 6.9849193e-05 4.7399998e+00 6.3215068e-04 2.8808910e-04 1.5874393e-04 9.4172232e-05 6.0706709e-05 4.7799998e+00 5.6788942e-04 2.5904737e-04 1.3836348e-04 8.1366547e-05 5.3721789e-05 4.8199997e+00 5.1824993e-04 2.3129396e-04 1.2436260e-04 7.4862808e-05 4.7916546e-05 4.8599997e+00 4.6283627e-04 2.1002877e-04 1.1267451e-04 6.6527471e-05 4.6007335e-05 4.8999996e+00 4.1530779e-04 1.8778567e-04 1.0047419e-04 6.0334180e-05 3.8587797e-05 4.9399996e+00 3.7510568e-04 1.6711031e-04 9.0586640e-05 5.3054344e-05 3.3574179e-05 4.9799996e+00 3.3380152e-04 1.4811133e-04 8.1257895e-05 4.9003091e-05 3.1059608e-05 5.0200000e+00 3.0243146e-04 1.3088186e-04 7.1308263e-05 4.2344134e-05 2.6697913e-05 5.0600000e+00 2.7101487e-04 1.1604279e-04 6.5316752e-05 3.7827216e-05 2.2413829e-05 5.0999999e+00 2.4177134e-04 1.0306636e-04 5.7260815e-05 3.4645200e-05 2.1125501e-05 5.1399999e+00 2.2044405e-04 9.3287475e-05 4.9515318e-05 3.0593947e-05 1.9045547e-05 5.1799998e+00 1.9168171e-04 8.3508588e-05 4.5510631e-05 2.8296685e-05 1.7601997e-05 5.2199998e+00 1.7637697e-04 7.4831769e-05 4.1211024e-05 2.4711093e-05 1.5071903e-05 5.2599998e+00 1.5478581e-04 6.5937638e-05 3.7485734e-05 2.2087866e-05 1.4171625e-05 5.2999997e+00 1.4120401e-04 5.8300793e-05 3.2642856e-05 2.0411486e-05 1.2184803e-05 5.3399997e+00 1.2347785e-04 5.1703926e-05 2.8498471e-05 1.7865870e-05 1.0430813e-05 5.3799997e+00 1.1045486e-04 4.5588240e-05 2.5890768e-05 1.5227124e-05 9.2356149e-06 5.4199996e+00 9.5988311e-05 3.9829560e-05 2.3407241e-05 1.3348957e-05 8.9406967e-06 5.4599996e+00 8.8413559e-05 3.6616497e-05 2.0380443e-05 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