HOM02 Unpublished data, A.A. Wray (1997) The data contained in this file derives from decaying incompressible isotropic turbulence from a DNS simulation with 512x512x512 nodes.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 = 60.41 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 2.9666796e-01 3.3983377e-01 3.7807715e-01 4.1468120e-01 4.5159253e-01 5.9999999e-02 2.9631120e-01 3.3939400e-01 3.7745136e-01 4.1392562e-01 4.5064139e-01 9.9999998e-02 2.9570121e-01 3.3848214e-01 3.7633255e-01 4.1192278e-01 4.4830468e-01 1.4000000e-01 2.9490963e-01 3.3735791e-01 3.7448254e-01 4.0939859e-01 4.4499016e-01 1.8000000e-01 2.9382896e-01 3.3576232e-01 3.7207833e-01 4.0600449e-01 4.4034249e-01 2.1999999e-01 2.9238561e-01 3.3370605e-01 3.6907566e-01 4.0175715e-01 4.3496111e-01 2.5999999e-01 2.9088807e-01 3.3112466e-01 3.6551037e-01 3.9688787e-01 4.2833066e-01 2.9999997e-01 2.8890121e-01 3.2826391e-01 3.6140200e-01 3.9156505e-01 4.2091531e-01 3.3999999e-01 2.8705749e-01 3.2494339e-01 3.5673386e-01 3.8527945e-01 4.1278255e-01 3.7999998e-01 2.8455797e-01 3.2138270e-01 3.5145637e-01 3.7838313e-01 4.0391475e-01 4.1999998e-01 2.8189191e-01 3.1755662e-01 3.4600732e-01 3.7103122e-01 3.9409989e-01 4.6000000e-01 2.7901047e-01 3.1310257e-01 3.3990398e-01 3.6294785e-01 3.8387036e-01 4.9999999e-01 2.7596822e-01 3.0849326e-01 3.3333135e-01 3.5462090e-01 3.7311694e-01 5.3999998e-01 2.7278674e-01 3.0346149e-01 3.2661587e-01 3.4569535e-01 3.6186421e-01 5.7999994e-01 2.6922923e-01 2.9824084e-01 3.1950423e-01 3.3652169e-01 3.5023761e-01 6.1999996e-01 2.6575339e-01 2.9274336e-01 3.1211743e-01 3.2702604e-01 3.3820707e-01 6.5999999e-01 2.6178986e-01 2.8709859e-01 3.0451950e-01 3.1710270e-01 3.2635957e-01 6.9999995e-01 2.5797367e-01 2.8100908e-01 2.9656836e-01 3.0704188e-01 3.1384444e-01 7.3999997e-01 2.5371793e-01 2.7491036e-01 2.8837591e-01 2.9703510e-01 3.0157876e-01 7.7999999e-01 2.4937420e-01 2.6855484e-01 2.8026569e-01 2.8679562e-01 2.8938800e-01 8.1999995e-01 2.4489307e-01 2.6212043e-01 2.7177265e-01 2.7629328e-01 2.7711105e-01 8.5999997e-01 2.4015269e-01 2.5551084e-01 2.6325282e-01 2.6575556e-01 2.6496437e-01 8.9999999e-01 2.3554043e-01 2.4882121e-01 2.5460294e-01 2.5549504e-01 2.5287125e-01 9.3999996e-01 2.3078550e-01 2.4199258e-01 2.4607366e-01 2.4509466e-01 2.4107224e-01 9.7999998e-01 2.2583197e-01 2.3504002e-01 2.3747477e-01 2.3492377e-01 2.2932933e-01 1.0200000e+00 2.2087227e-01 2.2821279e-01 2.2863472e-01 2.2484872e-01 2.1797819e-01 1.0600000e+00 2.1591422e-01 2.2120827e-01 2.2020078e-01 2.1489781e-01 2.0692234e-01 1.0999999e+00 2.1070772e-01 2.1408747e-01 2.1170247e-01 2.0504676e-01 1.9615257e-01 1.1399999e+00 2.0552638e-01 2.0709802e-01 2.0327681e-01 1.9553232e-01 1.8588118e-01 1.1800000e+00 2.0023927e-01 2.0015855e-01 1.9487195e-01 1.8626472e-01 1.7571849e-01 1.2199999e+00 1.9503736e-01 1.9320174e-01 1.8648878e-01 1.7718601e-01 1.6603391e-01 1.2599999e+00 1.8977305e-01 1.8634295e-01 1.7849399e-01 1.6844037e-01 1.5677232e-01 1.3000000e+00 1.8442166e-01 1.7949986e-01 1.7044619e-01 1.5980554e-01 1.4773239e-01 1.3399999e+00 1.7911308e-01 1.7273043e-01 1.6279632e-01 1.5156798e-01 1.3907687e-01 1.3799999e+00 1.7376675e-01 1.6595657e-01 1.5525755e-01 1.4352608e-01 1.3086672e-01 1.4200000e+00 1.6850373e-01 1.5944366e-01 1.4799927e-01 1.3578705e-01 1.2297874e-01 1.4599999e+00 1.6321182e-01 1.5301670e-01 1.4085580e-01 1.2836811e-01 1.1542415e-01 1.4999999e+00 1.5798594e-01 1.4667729e-01 1.3388667e-01 1.2115319e-01 1.0818604e-01 1.5400000e+00 1.5279230e-01 1.4054766e-01 1.2707946e-01 1.1426499e-01 1.0137174e-01 1.5799999e+00 1.4764972e-01 1.3440126e-01 1.2064239e-01 1.0768296e-01 9.4777077e-02 1.6199999e+00 1.4240332e-01 1.2853800e-01 1.1435697e-01 1.0138865e-01 8.8674359e-02 1.6600000e+00 1.3761941e-01 1.2285022e-01 1.0833970e-01 9.5206626e-02 8.2857534e-02 1.6999999e+00 1.3258208e-01 1.1720911e-01 1.0243341e-01 8.9476086e-02 7.7340610e-02 1.7399999e+00 1.2761810e-01 1.1181492e-01 9.6889474e-02 8.3911292e-02 7.2129361e-02 1.7800000e+00 1.2288317e-01 1.0647830e-01 9.1545857e-02 7.8676902e-02 6.7107551e-02 1.8200000e+00 1.1812764e-01 1.0139126e-01 8.6410172e-02 7.3766395e-02 6.2466692e-02 1.8599999e+00 1.1357985e-01 9.6396804e-02 8.1486359e-02 6.9021165e-02 5.8156982e-02 1.9000000e+00 1.0911096e-01 9.1547392e-02 7.6807410e-02 6.4543195e-02 5.4047674e-02 1.9400000e+00 1.0467950e-01 8.6940594e-02 7.2294302e-02 6.0354810e-02 5.0235804e-02 1.9799999e+00 1.0030740e-01 8.2363978e-02 6.7966305e-02 5.6334320e-02 4.6581168e-02 2.0200000e+00 9.6096702e-02 7.8092933e-02 6.3888945e-02 5.2587267e-02 4.3249983e-02 2.0600000e+00 9.2036679e-02 7.3933929e-02 6.0025740e-02 4.9002793e-02 3.9962150e-02 2.0999999e+00 8.7969549e-02 6.9971785e-02 5.6274313e-02 4.5618337e-02 3.7074149e-02 2.1399999e+00 8.4085546e-02 6.6118218e-02 5.2814852e-02 4.2491265e-02 3.4285754e-02 2.1799998e+00 8.0248512e-02 6.2462486e-02 4.9443681e-02 3.9539874e-02 3.1688917e-02 2.2199998e+00 7.6535746e-02 5.8982335e-02 4.6281021e-02 3.6760326e-02 2.9294224e-02 2.2599998e+00 7.2989598e-02 5.5595238e-02 4.3263301e-02 3.4161903e-02 2.7045500e-02 2.3000000e+00 6.9432102e-02 5.2373499e-02 4.0435091e-02 3.1672683e-02 2.4969224e-02 2.3399999e+00 6.6092007e-02 4.9302246e-02 3.7737343e-02 2.9402707e-02 2.3040222e-02 2.3799999e+00 6.2825672e-02 4.6318103e-02 3.5179250e-02 2.7276607e-02 2.1156730e-02 2.4199999e+00 5.9709247e-02 4.3582421e-02 3.2824293e-02 2.5227806e-02 1.9525426e-02 2.4599998e+00 5.6665063e-02 4.0883135e-02 3.0584168e-02 2.3384951e-02 1.7944366e-02 2.4999998e+00 5.3724367e-02 3.8379416e-02 2.8434038e-02 2.1622205e-02 1.6518636e-02 2.5400000e+00 5.0919719e-02 3.5948478e-02 2.6474506e-02 1.9998569e-02 1.5162894e-02 2.5799999e+00 4.8219677e-02 3.3643126e-02 2.4550999e-02 1.8475205e-02 1.3930677e-02 2.6199999e+00 4.5671780e-02 3.1535838e-02 2.2815013e-02 1.7028937e-02 1.2778708e-02 2.6599999e+00 4.3116339e-02 2.9493868e-02 2.1191485e-02 1.5703619e-02 1.1734215e-02 2.6999998e+00 4.0736407e-02 2.7551549e-02 1.9631177e-02 1.4477409e-02 1.0743815e-02 2.7399998e+00 3.8449388e-02 2.5724914e-02 1.8162543e-02 1.3344409e-02 9.8462831e-03 2.7800000e+00 3.6271770e-02 2.3975689e-02 1.6855991e-02 1.2286411e-02 8.9895912e-03 2.8200000e+00 3.4097102e-02 2.2373643e-02 1.5588741e-02 1.1280847e-02 8.2402797e-03 2.8599999e+00 3.2121330e-02 2.0809222e-02 1.4387956e-02 1.0362221e-02 7.5382181e-03 2.8999999e+00 3.0178996e-02 1.9386193e-02 1.3288653e-02 9.5269326e-03 6.8739057e-03 2.9399998e+00 2.8381994e-02 1.8002728e-02 1.2275639e-02 8.7554250e-03 6.2865824e-03 2.9799998e+00 2.6624696e-02 1.6755797e-02 1.1332023e-02 8.0202082e-03 5.7433578e-03 3.0200000e+00 2.5048122e-02 1.5518007e-02 1.0443774e-02 7.3666684e-03 5.2470248e-03 3.0600000e+00 2.3465339e-02 1.4397704e-02 9.5928237e-03 6.7198803e-03 4.7623646e-03 3.0999999e+00 2.1918662e-02 1.3359341e-02 8.8516623e-03 6.1595500e-03 4.3542278e-03 3.1399999e+00 2.0502351e-02 1.2361615e-02 8.1704771e-03 5.6478661e-03 3.9648572e-03 3.1799998e+00 1.9162690e-02 1.1442804e-02 7.4762385e-03 5.1530697e-03 3.6003224e-03 3.2199998e+00 1.7875168e-02 1.0561834e-02 6.8789348e-03 4.7024805e-03 3.2742042e-03 3.2599998e+00 1.6722905e-02 9.7690150e-03 6.3113556e-03 4.2905100e-03 2.9771433e-03 3.3000000e+00 1.5598520e-02 9.0025365e-03 5.8148522e-03 3.9225598e-03 2.7003232e-03 3.3399999e+00 1.4552784e-02 8.2917977e-03 5.3246040e-03 3.5872373e-03 2.4511167e-03 3.3799999e+00 1.3524030e-02 7.6397476e-03 4.8787640e-03 3.2527372e-03 2.2369747e-03 3.4199999e+00 1.2599041e-02 7.0344503e-03 4.4659711e-03 2.9633287e-03 2.0192780e-03 3.4599998e+00 1.1718894e-02 6.4474377e-03 4.0901667e-03 2.6964583e-03 1.8194163e-03 3.4999998e+00 1.0834495e-02 5.9240344e-03 3.7471920e-03 2.4443027e-03 1.6572109e-03 3.5400000e+00 1.0099510e-02 5.4366887e-03 3.4127384e-03 2.2171685e-03 1.5026890e-03 3.5799999e+00 9.3122944e-03 4.9850591e-03 3.1205826e-03 2.0176792e-03 1.3589083e-03 3.6199999e+00 8.6203218e-03 4.5527858e-03 2.8298236e-03 1.8176778e-03 1.2273279e-03 3.6599999e+00 7.9933861e-03 4.1869623e-03 2.5799498e-03 1.6556898e-03 1.1090189e-03 3.6999998e+00 7.3792413e-03 3.8163736e-03 2.3481436e-03 1.4963094e-03 1.0007992e-03 3.7399998e+00 6.8168156e-03 3.4870114e-03 2.1374472e-03 1.3576975e-03 8.9613412e-04 3.7800000e+00 6.2811188e-03 3.1722088e-03 1.9366076e-03 1.2293147e-03 8.1222196e-04 3.8200000e+00 5.8014723e-03 2.8961648e-03 1.7704131e-03 1.1127131e-03 7.3248520e-04 3.8599999e+00 5.3316201e-03 2.6438695e-03 1.5993292e-03 1.0114007e-03 6.5709464e-04 3.8999999e+00 4.9293973e-03 2.4011978e-03 1.4584666e-03 9.1705780e-04 6.0033053e-04 3.9399998e+00 4.5322347e-03 2.1790308e-03 1.3113333e-03 8.2074356e-04 5.4102077e-04 3.9799998e+00 4.1529224e-03 1.9930147e-03 1.1925120e-03 7.4665685e-04 4.8872700e-04 4.0200000e+00 3.8321130e-03 1.8175846e-03 1.0752585e-03 6.7249249e-04 4.4062422e-04 4.0600000e+00 3.4998946e-03 1.6481305e-03 9.6561079e-04 6.0998520e-04 3.9396496e-04 4.0999999e+00 3.2127991e-03 1.4974270e-03 8.7590888e-04 5.4611202e-04 3.5821772e-04 4.1399999e+00 2.9433209e-03 1.3604295e-03 7.8006025e-04 4.8476891e-04 3.1456971e-04 4.1799998e+00 2.6860740e-03 1.2331331e-03 7.0702907e-04 4.4017410e-04 2.8784075e-04 4.2199998e+00 2.4595298e-03 1.1194497e-03 6.3309754e-04 3.9677447e-04 2.5824021e-04 4.2599998e+00 2.2375644e-03 9.9870376e-04 5.7246845e-04 3.5362318e-04 2.3231842e-04 4.2999997e+00 2.0428405e-03 9.0670463e-04 5.1381066e-04 3.1638579e-04 2.0527902e-04 4.3399997e+00 1.8603634e-03 8.1718899e-04 4.5960769e-04 2.8427067e-04 1.8808059e-04 4.3799997e+00 1.6898382e-03 7.3267147e-04 4.1158250e-04 2.5251257e-04 1.6765359e-04 4.4199996e+00 1.5353784e-03 6.6555414e-04 3.6948672e-04 2.2777046e-04 1.5314047e-04 4.4599996e+00 1.3798941e-03 5.9798668e-04 3.3193888e-04 2.0284206e-04 1.3637666e-04 4.4999995e+00 1.2636960e-03 5.3526211e-04 2.9428239e-04 1.8381204e-04 1.2184804e-04 4.5400000e+00 1.1332333e-03 4.8127645e-04 2.6278818e-04 1.6495275e-04 1.0911996e-04 4.5799999e+00 1.0300117e-03 4.3072118e-04 2.3986213e-04 1.4570542e-04 9.5212214e-05 4.6199999e+00 9.2897873e-04 3.9041042e-04 2.1223289e-04 1.2965561e-04 8.3803512e-05 4.6599999e+00 8.3989772e-04 3.4895106e-04 1.8458813e-04 1.1386970e-04 7.7656776e-05 4.6999998e+00 7.6551613e-04 3.1019250e-04 1.6676883e-04 1.0587586e-04 6.8328030e-05 4.7399998e+00 6.8762648e-04 2.7300167e-04 1.4707135e-04 9.3225390e-05 6.2072650e-05 4.7799998e+00 6.2016770e-04 2.4721958e-04 1.3078873e-04 8.0140308e-05 5.5848312e-05 4.8199997e+00 5.5421452e-04 2.1806918e-04 1.1467686e-04 7.2472416e-05 4.9841281e-05 4.8599997e+00 4.9661222e-04 1.9183692e-04 1.0401321e-04 6.3097104e-05 4.3741118e-05 4.8999996e+00 4.4001886e-04 1.7235677e-04 8.9686364e-05 5.9045851e-05 3.8339444e-05 4.9399996e+00 3.9486526e-04 1.5283003e-04 7.7734388e-05 5.1486615e-05 3.2751508e-05 4.9799996e+00 3.5508224e-04 1.3533668e-04 7.1991235e-05 4.4951837e-05 2.7799979e-05 5.0200000e+00 3.1368496e-04 1.2031136e-04 6.5052882e-05 4.1071326e-05 2.4990490e-05 5.0600000e+00 2.8060749e-04 1.0700896e-04 5.6872766e-05 3.6212925e-05 2.2801882e-05 5.0999999e+00 2.4971861e-04 9.7230077e-05 4.9934413e-05 3.1556312e-05 1.9185245e-05 5.1399999e+00 2.2475918e-04 8.2406528e-05 4.6519563e-05 2.7474016e-05 1.7912436e-05 5.1799998e+00 1.9359092e-04 7.1447961e-05 4.0186569e-05 2.4742136e-05 1.5351299e-05 5.2199998e+00 1.7404866e-04 6.4680353e-05 3.3977751e-05 2.1560118e-05 1.4140581e-05 5.2599998e+00 1.5705203e-04 5.5879354e-05 3.1711534e-05 1.8704060e-05 1.2634943e-05 5.2999997e+00 1.3960525e-04 4.9484272e-05 2.7691325e-05 1.6562019e-05 1.1424224e-05 5.3399997e+00 1.2316741e-04 4.4036035e-05 2.4400651e-05 1.3783574e-05 1.0166938e-05 5.3799997e+00 1.1026859e-04 3.8836151e-05 2.1265199e-05 1.2665987e-05 8.5060792e-06 5.4199996e+00 9.6919634e-05 3.4443412e-05 1.8750627e-05 1.1486311e-05 7.5747571e-06 5.4599996e+00 8.5930027e-05 2.8886521e-05 1.7244989e-05 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