HOM03 Direct numerical simulation of forced isotropic turbulence in a periodic box From: Jimenez, J., Wray, A.A., Saffman, P.G. & Rogallo, R.S., 1993 The structure of intense vorticity in isotropic turbulence. J. Fluid Mech., vol. 255, 65-90. Pdf of longitudinal velocity diferences, dx/L=4/12 L: integral scale (Batchelor 1953). u': one-component rms velocity du : velocity difference at centre of the histogram box pdfs _________________________________________________________ du/u' Re=62 Re=92 Re=142 Re=168 -5.7399998e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -5.6999998e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -5.6599998e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -5.6199999e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -5.5799999e+000 9.9999998e-015 9.9999998e-015 1.1037897e-007 9.9999998e-015 -5.5399999e+000 9.9999998e-015 9.9999998e-015 2.5755094e-007 9.9999998e-015 -5.5000000e+000 9.9999998e-015 9.9999998e-015 2.5755094e-007 9.9999998e-015 -5.4600000e+000 9.9999998e-015 9.9999998e-015 3.3113690e-007 9.9999998e-015 -5.4200001e+000 9.9999998e-015 9.9999998e-015 4.0472290e-007 9.9999998e-015 -5.3800001e+000 9.9999998e-015 9.9999998e-015 9.5661767e-007 9.9999998e-015 -5.3399997e+000 9.9999998e-015 9.9999998e-015 9.5661767e-007 9.9999998e-015 -5.2999997e+000 9.9999998e-015 9.9999998e-015 1.2509616e-006 9.9999998e-015 -5.2599997e+000 9.9999998e-015 9.9999998e-015 9.5661767e-007 9.9999998e-015 -5.2199998e+000 9.9999998e-015 9.9999998e-015 1.5820985e-006 9.9999998e-015 -5.1799998e+000 9.9999998e-015 9.9999998e-015 1.2509616e-006 9.9999998e-015 -5.1399998e+000 9.9999998e-015 9.9999998e-015 1.5085126e-006 9.9999998e-015 -5.0999999e+000 9.9999998e-015 9.9999998e-015 1.6556845e-006 9.9999998e-015 -5.0599999e+000 9.9999998e-015 9.9999998e-015 2.6858884e-006 6.2088169e-008 -5.0200000e+000 9.9999998e-015 9.9999998e-015 2.6123023e-006 6.2088168e-007 -4.9800000e+000 9.9999998e-015 9.9999998e-015 3.5321273e-006 2.6697915e-006 -4.9400000e+000 9.9999998e-015 9.9999998e-015 3.7160917e-006 4.2840838e-006 -4.9000001e+000 9.9999998e-015 9.9999998e-015 5.0038470e-006 7.0780516e-006 -4.8600001e+000 9.9999998e-015 9.9999998e-015 4.6727096e-006 1.0492901e-005 -4.8199997e+000 9.9999998e-015 9.9999998e-015 5.9236718e-006 1.3100605e-005 -4.7799997e+000 9.9999998e-015 9.9999998e-015 6.4387732e-006 1.5956659e-005 -4.7399998e+000 9.9999998e-015 9.9999998e-015 7.2114262e-006 1.6825894e-005 -4.6999998e+000 9.9999998e-015 9.9999998e-015 9.3454191e-006 2.1420419e-005 -4.6599998e+000 9.9999998e-015 9.9999998e-015 1.1626584e-005 2.3593506e-005 -4.6199999e+000 9.9999998e-015 9.9999998e-015 1.4054922e-005 2.5952855e-005 -4.5799999e+000 9.9999998e-015 9.9999998e-015 1.8470082e-005 2.9553970e-005 -4.5399999e+000 9.9999998e-015 9.9999998e-015 1.9500285e-005 3.3589698e-005 -4.5000000e+000 9.9999998e-015 9.9999998e-015 2.3989029e-005 4.0729839e-005 -4.4600000e+000 9.9999998e-015 9.9999998e-015 2.8956083e-005 4.6938658e-005 -4.4200001e+000 9.9999998e-015 9.9999998e-015 3.1384421e-005 5.8362883e-005 -4.3800001e+000 9.9999998e-015 3.3113693e-007 3.9221326e-005 7.1090952e-005 -4.3400001e+000 9.9999998e-015 8.2784237e-007 4.4666689e-005 7.7610210e-005 -4.2999997e+000 9.9999998e-015 2.1523902e-006 5.6845172e-005 8.7606408e-005 -4.2599997e+000 9.9999998e-015 3.9736433e-006 6.6337758e-005 9.9278986e-005 -4.2199998e+000 9.9999998e-015 5.2981909e-006 7.6014316e-005 1.1095157e-004 -4.1799998e+000 9.9999998e-015 8.2784236e-006 8.5396532e-005 1.2659778e-004 -4.1399998e+000 9.9999998e-015 1.1589793e-005 9.4337229e-005 1.4603138e-004 -4.0999999e+000 9.9999998e-015 1.2583204e-005 1.1034218e-004 1.6397487e-004 -4.0599999e+000 3.9736433e-006 1.5729005e-005 1.2763488e-004 1.8322219e-004 -4.0200000e+000 3.9736433e-006 1.4901162e-005 1.4356624e-004 2.0830582e-004 -3.9800000e+000 1.9868216e-005 1.9040373e-005 1.6380240e-004 2.3450702e-004 -3.9399998e+000 2.1192764e-005 2.2682880e-005 1.8882162e-004 2.6828298e-004 -3.8999998e+000 2.2517312e-005 2.4504136e-005 2.2520989e-004 3.0510128e-004 -3.8599999e+000 2.9140050e-005 3.2285850e-005 2.5070744e-004 3.4601739e-004 -3.8199999e+000 4.7683719e-005 4.6028032e-005 2.8926649e-004 3.9301813e-004 -3.7800000e+000 3.5762791e-005 4.4041211e-005 3.2683215e-004 4.5554093e-004 -3.7400000e+000 4.9008264e-005 6.0598060e-005 3.6506006e-004 5.2327907e-004 -3.7000000e+000 6.2253741e-005 6.6227389e-005 4.1679098e-004 5.8698154e-004 -3.6599998e+000 9.8016542e-005 8.3115367e-005 4.6546815e-004 6.5279502e-004 -3.6199999e+000 1.0596382e-004 1.0314916e-004 5.2510953e-004 7.2854263e-004 -3.5799999e+000 1.4040207e-004 1.1987157e-004 5.9726066e-004 8.3707273e-004 -3.5399999e+000 1.5364755e-004 1.3245478e-004 6.7077298e-004 9.5441937e-004 -3.5000000e+000 1.9735761e-004 1.6887985e-004 7.6687627e-004 1.0814518e-003 -3.4600000e+000 2.3444496e-004 1.8113189e-004 8.6949195e-004 1.2163073e-003 -3.4199998e+000 3.1391782e-004 2.2053719e-004 9.9462492e-004 1.3561299e-003 -3.3799999e+000 3.4040879e-004 2.4454462e-004 1.1274476e-003 1.5287971e-003 -3.3399999e+000 4.7683716e-004 2.8941370e-004 1.2786300e-003 1.6750147e-003 -3.2999999e+000 4.6491626e-004 3.3742856e-004 1.4234104e-003 1.8777946e-003 -3.2600000e+000 5.2054733e-004 3.8660239e-004 1.6041008e-003 2.0876527e-003 -3.2200000e+000 5.6690647e-004 4.5398876e-004 1.8112820e-003 2.2910535e-003 -3.1799998e+000 7.0598396e-004 5.2799785e-004 2.0361240e-003 2.5672838e-003 -3.1399998e+000 8.0532505e-004 6.0780183e-004 2.3036827e-003 2.8509025e-003 -3.0999999e+000 8.6228061e-004 6.9969235e-004 2.5863633e-003 3.1614054e-003 -3.0599999e+000 1.1126201e-003 7.9919904e-004 2.9093688e-003 3.4891691e-003 -3.0200000e+000 1.3205741e-003 9.1277901e-004 3.2505873e-003 3.8879614e-003 -2.9800000e+000 1.4252133e-003 1.0571546e-003 3.6539487e-003 4.2720386e-003 -2.9400000e+000 1.5934309e-003 1.2008682e-003 4.1414192e-003 4.6733143e-003 -2.8999998e+000 1.9311906e-003 1.3401113e-003 4.6128845e-003 5.1577883e-003 -2.8599999e+000 2.1206010e-003 1.5243888e-003 5.1642642e-003 5.6726858e-003 -2.8199999e+000 2.3881595e-003 1.7593306e-003 5.7474701e-003 6.2642619e-003 -2.7800000e+000 2.7868487e-003 2.0047030e-003 6.3964981e-003 6.9336346e-003 -2.7400000e+000 3.1828880e-003 2.2926268e-003 7.1073016e-003 7.5970464e-003 -2.7000000e+000 3.6292607e-003 2.5476022e-003 7.9168212e-003 8.3711613e-003 -2.6599998e+000 4.0001343e-003 2.9297341e-003 8.7363115e-003 9.2275441e-003 -2.6199999e+000 4.7167148e-003 3.2542481e-003 9.6698599e-003 1.0218346e-002 -2.5799999e+000 5.3432263e-003 3.7282708e-003 1.0697893e-002 1.1231626e-002 -2.5399999e+000 6.1922609e-003 4.1471594e-003 1.1799107e-002 1.2327296e-002 -2.5000000e+000 7.0055327e-003 4.7160522e-003 1.2990316e-002 1.3444697e-002 -2.4600000e+000 8.0479523e-003 5.2644149e-003 1.4259749e-002 1.4743023e-002 -2.4200001e+000 8.9738108e-003 6.0588121e-003 1.5717965e-002 1.6130880e-002 -2.3799999e+000 1.0206965e-002 6.7614852e-003 1.7182104e-002 1.7643534e-002 -2.3399999e+000 1.1436146e-002 7.5303852e-003 1.8843971e-002 1.9154945e-002 -2.2999999e+000 1.2775264e-002 8.5615460e-003 2.0593330e-002 2.0974750e-002 -2.2600000e+000 1.4200476e-002 9.5163798e-003 2.2477610e-002 2.2882037e-002 -2.2200000e+000 1.5730329e-002 1.0588435e-002 2.4512263e-002 2.4890093e-002 -2.1800000e+000 1.7111832e-002 1.1927553e-002 2.6714360e-002 2.7083358e-002 -2.1399998e+000 1.9666886e-002 1.3228092e-002 2.9033495e-002 2.9450780e-002 -2.0999999e+000 2.1481514e-002 1.4793046e-002 3.1644363e-002 3.2052830e-002 -2.0599999e+000 2.3473635e-002 1.6539462e-002 3.4451116e-002 3.4782849e-002 -2.0200000e+000 2.5769075e-002 1.8296806e-002 3.7334658e-002 3.7725516e-002 -1.9800000e+000 2.8497646e-002 2.0431150e-002 4.0705740e-002 4.0787458e-002 -1.9399999e+000 3.1133495e-002 2.2639170e-002 4.4088710e-002 4.3963950e-002 -1.9000000e+000 3.4467380e-002 2.5039084e-002 4.7845859e-002 4.7435798e-002 -1.8600000e+000 3.7680734e-002 2.7666822e-002 5.1794413e-002 5.1222742e-002 -1.8199999e+000 4.1482184e-002 3.0695567e-002 5.6119613e-002 5.5238791e-002 -1.7800000e+000 4.5316756e-002 3.3842362e-002 6.0606040e-002 5.9372436e-002 -1.7400000e+000 4.9335431e-002 3.7425261e-002 6.5447964e-002 6.3974530e-002 -1.6999999e+000 5.3995192e-002 4.1336983e-002 7.0386685e-002 6.8599664e-002 -1.6599999e+000 5.9522528e-002 4.5613289e-002 7.5733483e-002 7.3615395e-002 -1.6200000e+000 6.4086922e-002 5.0281987e-002 8.1242971e-002 7.8729168e-002 -1.5799999e+000 7.0065923e-002 5.5331159e-002 8.7091625e-002 8.4266439e-002 -1.5399999e+000 7.6136328e-002 6.0636640e-002 9.3604639e-002 9.0217717e-002 -1.5000000e+000 8.2767017e-002 6.6568792e-002 1.0033010e-001 9.6337624e-002 -1.4600000e+000 8.8969879e-002 7.2943509e-002 1.0738476e-001 1.0307990e-001 -1.4199999e+000 9.6918486e-002 7.9783969e-002 1.1467157e-001 1.1003911e-001 -1.3800000e+000 1.0429490e-001 8.6673267e-002 1.2212263e-001 1.1771973e-001 -1.3400000e+000 1.1185011e-001 9.4620563e-002 1.3011697e-001 1.2565763e-001 -1.2999999e+000 1.2129017e-001 1.0279716e-001 1.3824344e-001 1.3387284e-001 -1.2600000e+000 1.3053817e-001 1.1147013e-001 1.4696582e-001 1.4273462e-001 -1.2200000e+000 1.4004311e-001 1.2090340e-001 1.5589532e-001 1.5204380e-001 -1.1799999e+000 1.5036134e-001 1.3110623e-001 1.6520418e-001 1.6144265e-001 -1.1400000e+000 1.5983714e-001 1.4171351e-001 1.7503542e-001 1.7141812e-001 -1.1000000e+000 1.7080574e-001 1.5230626e-001 1.8511035e-001 1.8178293e-001 -1.0599999e+000 1.8318230e-001 1.6481480e-001 1.9554871e-001 1.9227403e-001 -1.0200000e+000 1.9572842e-001 1.7732863e-001 2.0618717e-001 2.0337360e-001 -9.8000000e-001 2.0684667e-001 1.9070375e-001 2.1709678e-001 2.1428856e-001 -9.3999998e-001 2.1970141e-001 2.0494497e-001 2.2833328e-001 2.2569250e-001 -8.9999996e-001 2.3240383e-001 2.1948981e-001 2.3983927e-001 2.3737146e-001 -8.6000000e-001 2.4584003e-001 2.3510557e-001 2.5146586e-001 2.4926166e-001 -8.1999997e-001 2.5994647e-001 2.5094518e-001 2.6313937e-001 2.6148564e-001 -7.7999995e-001 2.7471253e-001 2.6802137e-001 2.7513075e-001 2.7355433e-001 -7.3999999e-001 2.8770900e-001 2.8495872e-001 2.8763571e-001 2.8605020e-001 -6.9999997e-001 3.0293864e-001 3.0318269e-001 2.9968458e-001 2.9842597e-001 -6.6000001e-001 3.1839612e-001 3.2092002e-001 3.1224412e-001 3.1132746e-001 -6.1999999e-001 3.3437943e-001 3.3938161e-001 3.2453480e-001 3.2429668e-001 -5.7999996e-001 3.4970579e-001 3.5808718e-001 3.3723828e-001 3.3749720e-001 -5.4000000e-001 3.6316451e-001 3.7695932e-001 3.4981543e-001 3.5020331e-001 -4.9999998e-001 3.8049889e-001 3.9489388e-001 3.6196172e-001 3.6279571e-001 -4.5999999e-001 3.9481458e-001 4.1426969e-001 3.7407807e-001 3.7510252e-001 -4.2000000e-001 4.1191050e-001 4.3304101e-001 3.8630521e-001 3.8780612e-001 -3.7999998e-001 4.2563546e-001 4.5193866e-001 3.9772174e-001 3.9950976e-001 -3.3999998e-001 4.4098696e-001 4.6929356e-001 4.0903705e-001 4.1165644e-001 -2.9999999e-001 4.5430663e-001 4.8729634e-001 4.1925514e-001 4.2279059e-001 -2.6000000e-001 4.6582362e-001 5.0394011e-001 4.2963761e-001 4.3319812e-001 -2.1999999e-001 4.8000947e-001 5.2015257e-001 4.3923324e-001 4.4289777e-001 -1.7999999e-001 4.9070260e-001 5.3462654e-001 4.4788826e-001 4.5223379e-001 -1.4000000e-001 4.9982074e-001 5.4723823e-001 4.5552593e-001 4.6021950e-001 -1.0000000e-001 5.0858128e-001 5.5967027e-001 4.6236175e-001 4.6751356e-001 -5.9999998e-002 5.1741338e-001 5.6980276e-001 4.6816993e-001 4.7368276e-001 -1.9999999e-002 5.2418178e-001 5.7862872e-001 4.7306719e-001 4.7815254e-001 2.0000000e-002 5.2885216e-001 5.8585954e-001 4.7684062e-001 4.8121879e-001 5.9999999e-002 5.3193837e-001 5.9069037e-001 4.7898069e-001 4.8319530e-001 9.9999998e-002 5.3460205e-001 5.9368300e-001 4.8051009e-001 4.8422161e-001 1.4000000e-001 5.3458351e-001 5.9445804e-001 4.8044404e-001 4.8416978e-001 1.8000000e-001 5.3446299e-001 5.9236640e-001 4.7905654e-001 4.8259509e-001 2.1999999e-001 5.3118736e-001 5.8764404e-001 4.7664243e-001 4.7970837e-001 2.5999999e-001 5.2630240e-001 5.8053607e-001 4.7315213e-001 4.7624111e-001 3.0000000e-001 5.1934195e-001 5.7007444e-001 4.6839747e-001 4.7146249e-001 3.3999999e-001 5.1122910e-001 5.5815762e-001 4.6237409e-001 4.6502140e-001 3.7999998e-001 5.0156254e-001 5.4352289e-001 4.5464936e-001 4.5726839e-001 4.1999998e-001 4.8988795e-001 5.2688950e-001 4.4575110e-001 4.4873157e-001 4.6000000e-001 4.7707960e-001 5.0885063e-001 4.3586019e-001 4.3876120e-001 4.9999999e-001 4.6243140e-001 4.8912784e-001 4.2449772e-001 4.2784163e-001 5.3999998e-001 4.4769979e-001 4.6714580e-001 4.1264442e-001 4.1601470e-001 5.8000000e-001 4.3060252e-001 4.4360349e-001 3.9952105e-001 4.0299028e-001 6.1999996e-001 4.1275290e-001 4.1977784e-001 3.8590795e-001 3.8878042e-001 6.5999999e-001 3.9565966e-001 3.9510250e-001 3.7195957e-001 3.7442198e-001 7.0000001e-001 3.7665638e-001 3.7059188e-001 3.5734290e-001 3.5943383e-001 7.3999997e-001 3.5808489e-001 3.4694609e-001 3.4256846e-001 3.4441030e-001 7.7999999e-001 3.3924714e-001 3.2246578e-001 3.2763657e-001 3.2842028e-001 8.1999995e-001 3.1919745e-001 2.9846612e-001 3.1229821e-001 3.1248522e-001 8.5999997e-001 2.9864708e-001 2.7503026e-001 2.9670632e-001 2.9684907e-001 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