HOM02 Unpublished data, A.A. Wray (1997) The data contained in this file derives from decaying incompressible isotropic turbulence from a DNS simulation with 512x512x512 nodes.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 = 70.45 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 3.0044663e-01 3.3895132e-01 3.7446126e-01 4.0965602e-01 4.4528136e-01 5.9999999e-02 3.0000800e-01 3.3866432e-01 3.7404838e-01 4.0870178e-01 4.4442087e-01 9.9999998e-02 2.9953972e-01 3.3785719e-01 3.7276977e-01 4.0721688e-01 4.4198602e-01 1.4000000e-01 2.9879105e-01 3.3643901e-01 3.7098116e-01 4.0470517e-01 4.3870941e-01 1.8000000e-01 2.9782292e-01 3.3484799e-01 3.6860561e-01 4.0124187e-01 4.3430316e-01 2.1999999e-01 2.9632553e-01 3.3274820e-01 3.6564615e-01 3.9737421e-01 4.2913079e-01 2.5999999e-01 2.9468623e-01 3.3022600e-01 3.6207020e-01 3.9259991e-01 4.2287460e-01 2.9999997e-01 2.9282254e-01 3.2736275e-01 3.5805205e-01 3.8712850e-01 4.1565776e-01 3.3999999e-01 2.9066974e-01 3.2410201e-01 3.5354620e-01 3.8102773e-01 4.0754062e-01 3.7999998e-01 2.8826514e-01 3.2053056e-01 3.4848160e-01 3.7434956e-01 3.9877379e-01 4.1999998e-01 2.8561136e-01 3.1656957e-01 3.4307769e-01 3.6701462e-01 3.8942480e-01 4.6000000e-01 2.8268489e-01 3.1234217e-01 3.3711284e-01 3.5913020e-01 3.7970260e-01 4.9999999e-01 2.7957833e-01 3.0767477e-01 3.3097976e-01 3.5107690e-01 3.6912480e-01 5.3999998e-01 2.7621782e-01 3.0291361e-01 3.2411528e-01 3.4239700e-01 3.5801369e-01 5.7999994e-01 2.7268597e-01 2.9770124e-01 3.1722274e-01 3.3346477e-01 3.4696537e-01 6.1999996e-01 2.6901218e-01 2.9216734e-01 3.0999884e-01 3.2423055e-01 3.3545896e-01 6.5999999e-01 2.6498568e-01 2.8663266e-01 3.0237225e-01 3.1447428e-01 3.2379135e-01 6.9999995e-01 2.6082456e-01 2.8070956e-01 2.9471728e-01 3.0489174e-01 3.1183913e-01 7.3999997e-01 2.5652269e-01 2.7471247e-01 2.8682750e-01 2.9501399e-01 2.9998189e-01 7.7999999e-01 2.5205231e-01 2.6841468e-01 2.7869561e-01 2.8488424e-01 2.8802931e-01 8.1999995e-01 2.4743314e-01 2.6187852e-01 2.7038616e-01 2.7500090e-01 2.7623945e-01 8.5999997e-01 2.4277979e-01 2.5534481e-01 2.6210806e-01 2.6488981e-01 2.6432160e-01 8.9999999e-01 2.3790100e-01 2.4873440e-01 2.5371078e-01 2.5490236e-01 2.5272503e-01 9.3999996e-01 2.3293869e-01 2.4183871e-01 2.4522200e-01 2.4491599e-01 2.4130899e-01 9.7999998e-01 2.2774772e-01 2.3503660e-01 2.3693742e-01 2.3494689e-01 2.3002242e-01 1.0200000e+00 2.2260013e-01 2.2818141e-01 2.2834308e-01 2.2516514e-01 2.1894395e-01 1.0600000e+00 2.1748948e-01 2.2136806e-01 2.2001056e-01 2.1556634e-01 2.0813650e-01 1.0999999e+00 2.1201879e-01 2.1432538e-01 2.1180502e-01 2.0598994e-01 1.9755816e-01 1.1399999e+00 2.0671242e-01 2.0736991e-01 2.0347093e-01 1.9667435e-01 1.8755871e-01 1.1800000e+00 2.0139639e-01 2.0042932e-01 1.9531275e-01 1.8752161e-01 1.7758971e-01 1.2199999e+00 1.9585463e-01 1.9353169e-01 1.8730740e-01 1.7859179e-01 1.6814753e-01 1.2599999e+00 1.9037515e-01 1.8668020e-01 1.7938688e-01 1.6995344e-01 1.5887740e-01 1.3000000e+00 1.8499193e-01 1.7989016e-01 1.7175108e-01 1.6147770e-01 1.5001516e-01 1.3399999e+00 1.7955680e-01 1.7306682e-01 1.6407160e-01 1.5334772e-01 1.4142524e-01 1.3799999e+00 1.7398797e-01 1.6650680e-01 1.5664752e-01 1.4530486e-01 1.3316481e-01 1.4200000e+00 1.6857249e-01 1.6001189e-01 1.4943531e-01 1.3767332e-01 1.2549490e-01 1.4599999e+00 1.6313586e-01 1.5345618e-01 1.4233267e-01 1.3028474e-01 1.1790612e-01 1.4999999e+00 1.5779328e-01 1.4730503e-01 1.3552365e-01 1.2317807e-01 1.1067501e-01 1.5400000e+00 1.5242484e-01 1.4108366e-01 1.2893821e-01 1.1636214e-01 1.0395562e-01 1.5799999e+00 1.4714600e-01 1.3503565e-01 1.2242380e-01 1.0982092e-01 9.7381428e-02 1.6199999e+00 1.4199233e-01 1.2907447e-01 1.1618851e-01 1.0340810e-01 9.1235928e-02 1.6600000e+00 1.3685192e-01 1.2335734e-01 1.1017410e-01 9.7428508e-02 8.5378356e-02 1.6999999e+00 1.3178165e-01 1.1772241e-01 1.0433882e-01 9.1707148e-02 7.9853617e-02 1.7399999e+00 1.2677670e-01 1.1218148e-01 9.8750524e-02 8.6188458e-02 7.4630536e-02 1.7800000e+00 1.2185857e-01 1.0692522e-01 9.3330473e-02 8.0931187e-02 6.9589123e-02 1.8200000e+00 1.1693931e-01 1.0176371e-01 8.8237070e-02 7.5939625e-02 6.4840943e-02 1.8599999e+00 1.1222778e-01 9.6706860e-02 8.3258331e-02 7.1257912e-02 6.0508851e-02 1.9000000e+00 1.0753741e-01 9.1900207e-02 7.8533217e-02 6.6643924e-02 5.6305062e-02 1.9400000e+00 1.0308620e-01 8.7228090e-02 7.3930591e-02 6.2439233e-02 5.2438103e-02 1.9799999e+00 9.8678946e-02 8.2681902e-02 6.9583111e-02 5.8295827e-02 4.8709426e-02 2.0200000e+00 9.4327807e-02 7.8387246e-02 6.5448053e-02 5.4581277e-02 4.5209348e-02 2.0600000e+00 9.0070225e-02 7.4241139e-02 6.1490029e-02 5.0881892e-02 4.1991517e-02 2.0999999e+00 8.5969314e-02 7.0086695e-02 5.7761587e-02 4.7427945e-02 3.8876072e-02 2.1399999e+00 8.1973135e-02 6.6378668e-02 5.4162260e-02 4.4268414e-02 3.6060218e-02 2.1799998e+00 7.8093909e-02 6.2644109e-02 5.0777894e-02 4.1243140e-02 3.3371661e-02 2.2199998e+00 7.4351326e-02 5.9069924e-02 4.7544125e-02 3.8316846e-02 3.0854112e-02 2.2599998e+00 7.0736818e-02 5.5726010e-02 4.4447958e-02 3.5639200e-02 2.8579714e-02 2.3000000e+00 6.7242004e-02 5.2445598e-02 4.1573044e-02 3.3122920e-02 2.6362404e-02 2.3399999e+00 6.3847549e-02 4.9398124e-02 3.8827132e-02 3.0736797e-02 2.4331952e-02 2.3799999e+00 6.0559854e-02 4.6465762e-02 3.6265917e-02 2.8487621e-02 2.2483105e-02 2.4199999e+00 5.7433933e-02 4.3661535e-02 3.3828676e-02 2.6455801e-02 2.0721430e-02 2.4599998e+00 5.4422066e-02 4.1013025e-02 3.1483438e-02 2.4452558e-02 1.9111810e-02 2.4999998e+00 5.1495884e-02 3.8442060e-02 2.9306067e-02 2.2634150e-02 1.7579395e-02 2.5400000e+00 4.8705749e-02 3.6021832e-02 2.7277336e-02 2.0983661e-02 1.6160822e-02 2.5799999e+00 4.6019722e-02 3.3738729e-02 2.5356902e-02 1.9341893e-02 1.4850668e-02 2.6199999e+00 4.3419778e-02 3.1571895e-02 2.3575686e-02 1.7885832e-02 1.3663650e-02 2.6599999e+00 4.0931348e-02 2.9493604e-02 2.1860795e-02 1.6465114e-02 1.2547616e-02 2.6999998e+00 3.8612060e-02 2.7539846e-02 2.0305222e-02 1.5228164e-02 1.1519948e-02 2.7399998e+00 3.6369078e-02 2.5743945e-02 1.8808447e-02 1.4051050e-02 1.0538970e-02 2.7800000e+00 3.4246281e-02 2.4004994e-02 1.7404260e-02 1.2909791e-02 9.6864374e-03 2.8200000e+00 3.2162465e-02 2.2318183e-02 1.6136497e-02 1.1905407e-02 8.8667963e-03 2.8599999e+00 3.0186618e-02 2.0809067e-02 1.4919322e-02 1.0964305e-02 8.1103137e-03 2.8999999e+00 2.8365664e-02 1.9358983e-02 1.3768720e-02 1.0035947e-02 7.4399482e-03 2.9399998e+00 2.6614079e-02 1.8033028e-02 1.2733617e-02 9.2115868e-03 6.8020076e-03 2.9799998e+00 2.4919599e-02 1.6716292e-02 1.1727137e-02 8.4749572e-03 6.2094848e-03 3.0200000e+00 2.3335343e-02 1.5515089e-02 1.0810110e-02 7.7740755e-03 5.6708385e-03 3.0600000e+00 2.1832809e-02 1.4404750e-02 9.9707237e-03 7.1357316e-03 5.1668067e-03 3.0999999e+00 2.0448521e-02 1.3352015e-02 9.1983778e-03 6.5396386e-03 4.7276882e-03 3.1399999e+00 1.9071484e-02 1.2355640e-02 8.4461020e-03 5.9527345e-03 4.2924965e-03 3.1799998e+00 1.7780779e-02 1.1421042e-02 7.7845682e-03 5.4635573e-03 3.9367159e-03 3.2199998e+00 1.6587134e-02 1.0575199e-02 7.1399380e-03 5.0050048e-03 3.5805784e-03 3.2599998e+00 1.5465791e-02 9.7816344e-03 6.5580010e-03 4.5816721e-03 3.2634474e-03 3.3000000e+00 1.4393807e-02 9.0468517e-03 6.0251602e-03 4.1649984e-03 2.9670850e-03 3.3399999e+00 1.3379644e-02 8.2981614e-03 5.5222926e-03 3.8044683e-03 2.6871916e-03 3.3799999e+00 1.2426451e-02 7.6797479e-03 5.0670467e-03 3.4807872e-03 2.4530415e-03 3.4199999e+00 1.1550169e-02 7.0828944e-03 4.6326001e-03 3.1653636e-03 2.2326440e-03 3.4599998e+00 1.0716232e-02 6.5021683e-03 4.2342888e-03 2.8855633e-03 2.0249435e-03 3.4999998e+00 9.9160550e-03 5.9974999e-03 3.8872163e-03 2.6206176e-03 1.8374529e-03 3.5400000e+00 9.2035308e-03 5.4962314e-03 3.5499067e-03 2.3920243e-03 1.6585924e-03 3.5799999e+00 8.5088732e-03 5.0535579e-03 3.2513558e-03 2.1762524e-03 1.5160224e-03 3.6199999e+00 7.8680925e-03 4.6299770e-03 2.9632822e-03 1.9766234e-03 1.3612366e-03 3.6599999e+00 7.2878008e-03 4.2587519e-03 2.6898303e-03 1.8022334e-03 1.2448833e-03 3.6999998e+00 6.7170090e-03 3.9050665e-03 2.4712645e-03 1.6347505e-03 1.1299892e-03 3.7399998e+00 6.1926432e-03 3.5734072e-03 2.2463500e-03 1.4794525e-03 1.0156228e-03 3.7800000e+00 5.6897290e-03 3.2600015e-03 2.0475127e-03 1.3466148e-03 9.2368573e-04 3.8200000e+00 5.2451002e-03 2.9874500e-03 1.8623503e-03 1.2232300e-03 8.4050308e-04 3.8599999e+00 4.8267962e-03 2.7299237e-03 1.6982822e-03 1.1076840e-03 7.5583038e-04 3.8999999e+00 4.4478723e-03 2.4848462e-03 1.5450796e-03 1.0063716e-03 6.8019144e-04 3.9399998e+00 4.0864572e-03 2.2825163e-03 1.3915045e-03 9.0335187e-04 6.1644241e-04 3.9799998e+00 3.7365127e-03 2.0624138e-03 1.2691908e-03 8.2012266e-04 5.5662042e-04 4.0200000e+00 3.4463902e-03 1.8791450e-03 1.1538776e-03 7.4061874e-04 5.0816062e-04 4.0600000e+00 3.1452004e-03 1.7201683e-03 1.0411099e-03 6.7239936e-04 4.6098916e-04 4.0999999e+00 2.8825675e-03 1.5638924e-03 9.4293308e-04 6.0627545e-04 4.0816763e-04 4.1399999e+00 2.6401908e-03 1.4162468e-03 8.5568364e-04 5.5073760e-04 3.6944015e-04 4.1799998e+00 2.4135690e-03 1.2904715e-03 7.7378936e-04 4.9386482e-04 3.2919148e-04 4.2199998e+00 2.2025157e-03 1.1683597e-03 7.0373836e-04 4.5197085e-04 3.0271086e-04 4.2599998e+00 2.0067517e-03 1.0568183e-03 6.3182472e-04 4.0436475e-04 2.6961789e-04 4.2999997e+00 1.8358851e-03 9.6474151e-04 5.6896044e-04 3.6369698e-04 2.4340115e-04 4.3399997e+00 1.6691163e-03 8.7070902e-04 5.1916577e-04 3.2437965e-04 2.2084762e-04 4.3799997e+00 1.5213931e-03 7.8775920e-04 4.6887435e-04 2.9779039e-04 1.9399449e-04 4.4199996e+00 1.3903715e-03 7.1440201e-04 4.1768266e-04 2.6589260e-04 1.7574057e-04 4.4599996e+00 1.2646118e-03 6.4042397e-04 3.7970021e-04 2.3799948e-04 1.5761082e-04 4.4999995e+00 1.1428725e-03 5.8480847e-04 3.4115897e-04 2.1803814e-04 1.4182490e-04 4.5400000e+00 1.0405045e-03 5.2185106e-04 3.0233833e-04 1.9371510e-04 1.2642704e-04 4.5799999e+00 9.4380230e-04 4.7643358e-04 2.7503507e-04 1.7381583e-04 1.1669472e-04 4.6199999e+00 8.5330877e-04 4.3239756e-04 2.4762313e-04 1.5804544e-04 1.0062940e-04 4.6599999e+00 7.6616806e-04 3.7985542e-04 2.2120464e-04 1.3783574e-04 9.0105459e-05 4.6999998e+00 7.0421956e-04 3.4764720e-04 2.0029645e-04 1.2622525e-04 8.2359962e-05 4.7399998e+00 6.3832849e-04 3.1359182e-04 1.7934169e-04 1.1208467e-04 7.3015690e-05 4.7799998e+00 5.6981418e-04 2.7950542e-04 1.5624487e-04 9.8409750e-05 6.7086265e-05 4.8199997e+00 5.2138540e-04 2.5397167e-04 1.3951212e-04 9.1812886e-05 5.7773042e-05 4.8599997e+00 4.6519563e-04 2.2882596e-04 1.2700135e-04 8.0311045e-05 5.2557636e-05 4.8999996e+00 4.2205988e-04 2.0534110e-04 1.1296943e-04 7.1742877e-05 4.6209123e-05 4.9399996e+00 3.8216822e-04 1.8069211e-04 1.0142103e-04 6.4323343e-05 4.1723251e-05 4.9799996e+00 3.4656064e-04 1.6234504e-04 9.1874972e-05 5.7571258e-05 3.7221856e-05 5.0200000e+00 3.0829880e-04 1.4713344e-04 8.0947451e-05 5.1657360e-05 3.4536544e-05 5.0600000e+00 2.7430552e-04 1.2988845e-04 7.3698655e-05 4.6410907e-05 3.0764688e-05 5.0999999e+00 2.4579154e-04 1.1706725e-04 6.5316752e-05 4.0046871e-05 2.7551627e-05 5.1399999e+00 2.2263266e-04 1.0505319e-04 5.7943787e-05 3.6321580e-05 2.5704503e-05 5.1799998e+00 1.9796814e-04 9.4467156e-05 5.1222742e-05 3.1727053e-05 2.1808470e-05 5.2199998e+00 1.7685816e-04 8.2670398e-05 4.6876568e-05 2.9647103e-05 1.8828237e-05 5.2599998e+00 1.5865080e-04 7.3698655e-05 4.1940559e-05 2.5487194e-05 1.6096357e-05 5.2999997e+00 1.4139028e-04 6.6698216e-05 3.7454687e-05 2.3158887e-05 1.5289212e-05 5.3399997e+00 1.2627181e-04 5.8192138e-05 3.4676243e-05 2.0349398e-05 1.3426567e-05 5.3799997e+00 1.1296943e-04 5.2402418e-05 2.9026220e-05 1.8936891e-05 1.1920929e-05 5.4199996e+00 1.0412186e-04 4.6286732e-05 2.7520582e-05 1.5584130e-05 1.0896474e-05 5.4599996e+00 9.1145434e-05 4.0869538e-05 2.4291998e-05 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