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=4/3 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 -6.5000000e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -6.4600000e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -6.4200001e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -6.3799996e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -6.3399997e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -6.2999997e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -6.2599997e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -6.2199998e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -6.1799998e+000 9.9999998e-015 4.9670541e-007 9.9999998e-015 9.9999998e-015 -6.1399998e+000 9.9999998e-015 2.3179584e-006 9.9999998e-015 9.9999998e-015 -6.0999999e+000 9.9999998e-015 2.3179584e-006 9.9999998e-015 6.2088169e-008 -6.0599999e+000 9.9999998e-015 6.6227386e-007 9.9999998e-015 1.2417634e-007 -6.0200000e+000 9.9999998e-015 2.3179587e-006 9.9999998e-015 6.2088168e-007 -5.9800000e+000 9.9999998e-015 4.4703488e-006 9.9999998e-015 5.5879354e-007 -5.9400000e+000 9.9999998e-015 4.9670539e-006 9.9999998e-015 4.3461719e-007 -5.9000001e+000 9.9999998e-015 3.9736433e-006 9.9999998e-015 1.1175871e-006 -5.8599996e+000 9.9999998e-015 3.9736433e-006 9.9999998e-015 8.0714625e-007 -5.8199997e+000 9.9999998e-015 4.3047803e-006 1.8396494e-007 1.4280280e-006 -5.7799997e+000 9.9999998e-015 6.1260339e-006 1.8396494e-007 9.3132257e-007 -5.7399998e+000 9.9999998e-015 5.7948964e-006 5.8868784e-007 1.3038516e-006 -5.6999998e+000 9.9999998e-015 7.9472866e-006 6.9906679e-007 1.1175871e-006 -5.6599998e+000 9.9999998e-015 6.6227390e-006 1.2509618e-006 1.8626451e-006 -5.6199999e+000 9.9999998e-015 8.2784236e-006 1.9868214e-006 2.7318795e-006 -5.5799999e+000 9.9999998e-015 9.7685397e-006 2.7226811e-006 3.1044085e-006 -5.5399999e+000 9.9999998e-015 9.7685397e-006 2.7226811e-006 4.7187009e-006 -5.5000000e+000 9.9999998e-015 1.3079909e-005 4.6727096e-006 5.5258474e-006 -5.4600000e+000 9.9999998e-015 1.6060141e-005 5.6661206e-006 8.0714617e-006 -5.4200001e+000 9.9999998e-015 1.7384689e-005 7.5425633e-006 9.8720193e-006 -5.3800001e+000 9.9999998e-015 2.1689470e-005 7.6897350e-006 1.3659398e-005 -5.3399997e+000 9.9999998e-015 2.3676288e-005 1.0669966e-005 1.8750627e-005 -5.2999997e+000 9.9999998e-015 2.5663112e-005 1.3061511e-005 2.1172067e-005 -5.2599997e+000 9.9999998e-015 3.1623578e-005 1.3429441e-005 2.4090210e-005 -5.2199998e+000 9.9999998e-015 3.3775967e-005 1.6814396e-005 2.7256707e-005 -5.1799998e+000 9.9999998e-015 3.8577451e-005 2.0162559e-005 3.6135316e-005 -5.1399998e+000 9.9999998e-015 5.1326231e-005 2.4982439e-005 4.6752393e-005 -5.0999999e+000 9.9999998e-015 5.2154064e-005 2.8588152e-005 6.0908496e-005 -5.0599999e+000 3.9736433e-006 5.8942376e-005 3.0869320e-005 7.7920653e-005 -5.0200000e+000 5.2981909e-006 7.5002521e-005 3.7712816e-005 9.6485019e-005 -4.9800000e+000 7.9472875e-006 9.6029711e-005 4.3378936e-005 1.1852632e-004 -4.9400000e+000 1.7219121e-005 1.0861291e-004 4.9928087e-005 1.3913959e-004 -4.9000001e+000 2.2517312e-005 1.2301737e-004 5.8390473e-005 1.5453745e-004 -4.8600001e+000 4.1060983e-005 1.2881226e-004 6.8067035e-005 1.8732001e-004 -4.8199997e+000 3.8411887e-005 1.4868048e-004 7.6124692e-005 2.2090971e-004 -4.7799997e+000 5.0332816e-005 1.7947622e-004 9.2387199e-005 2.6983517e-004 -4.7399998e+000 7.8148318e-005 2.0679501e-004 1.1034217e-004 3.0572215e-004 -4.6999998e+000 1.0861291e-004 2.3543836e-004 1.2476504e-004 3.5911798e-004 -4.6599998e+000 1.5762118e-004 2.4951168e-004 1.4989465e-004 4.1207919e-004 -4.6199999e+000 1.8941033e-004 2.8775798e-004 1.7395725e-004 4.7925860e-004 -4.5799999e+000 1.8808577e-004 3.3444830e-004 2.0651905e-004 5.6785840e-004 -4.5399999e+000 2.6490956e-004 3.8908588e-004 2.4849985e-004 6.4453727e-004 -4.5000000e+000 3.1259327e-004 4.3825977e-004 2.9360806e-004 7.3388219e-004 -4.4600000e+000 3.2583872e-004 5.0581171e-004 3.4096066e-004 8.4253651e-004 -4.4200001e+000 4.3842534e-004 5.7833066e-004 3.9335384e-004 9.6522272e-004 -4.3800001e+000 4.7286355e-004 6.6773762e-004 4.5115565e-004 1.0854874e-003 -4.3400001e+000 5.6955550e-004 7.5664790e-004 5.1686791e-004 1.2312705e-003 -4.2999997e+000 5.9472193e-004 8.8926824e-004 5.8857747e-004 1.3992190e-003 -4.2599997e+000 7.1922946e-004 9.7552937e-004 6.6370878e-004 1.5997639e-003 -4.2199998e+000 8.3446509e-004 1.0950699e-003 7.5959129e-004 1.8083180e-003 -4.1799998e+000 9.8281447e-004 1.2394455e-003 8.5981539e-004 2.0159408e-003 -4.1399998e+000 1.0940764e-003 1.4124647e-003 9.7600766e-004 2.2492681e-003 -4.0999999e+000 1.3417670e-003 1.5543569e-003 1.1045992e-003 2.4938334e-003 -4.0599999e+000 1.4384589e-003 1.7815167e-003 1.2422049e-003 2.7982518e-003 -4.0200000e+000 1.6729039e-003 1.9510589e-003 1.3894137e-003 3.0957162e-003 -3.9800000e+000 1.7470786e-003 2.2076899e-003 1.5621936e-003 3.4329791e-003 -3.9399998e+000 2.0066898e-003 2.4317042e-003 1.7484765e-003 3.7754576e-003 -3.8999998e+000 2.1722585e-003 2.6495922e-003 1.9703382e-003 4.1470551e-003 -3.8599999e+000 2.4331941e-003 2.8823817e-003 2.2300230e-003 4.5763329e-003 -3.8199999e+000 2.7073759e-003 3.2194790e-003 2.5087669e-003 4.9651908e-003 -3.7800000e+000 3.0742753e-003 3.5795902e-003 2.8234203e-003 5.4537007e-003 -3.7400000e+000 3.3060710e-003 3.8800973e-003 3.1679869e-003 5.9304140e-003 -3.7000000e+000 3.7100583e-003 4.2635538e-003 3.5253938e-003 6.5103173e-003 -3.6599998e+000 4.1855709e-003 4.6807863e-003 3.9251498e-003 7.1336827e-003 -3.6199999e+000 4.5034625e-003 5.1500071e-003 4.3420512e-003 7.7734389e-003 -3.5799999e+000 4.9789753e-003 5.7140994e-003 4.8261737e-003 8.5475538e-003 -3.5399999e+000 5.3048139e-003 6.2223938e-003 5.3346157e-003 9.3080103e-003 -3.5000000e+000 5.9458949e-003 6.8806945e-003 5.9214639e-003 1.0221017e-002 -3.4600000e+000 6.8664555e-003 7.5126700e-003 6.5167379e-003 1.1100682e-002 -3.4199998e+000 7.5578694e-003 8.2703112e-003 7.1237851e-003 1.2121846e-002 -3.3799999e+000 8.3764400e-003 9.1330884e-003 7.8072152e-003 1.3255204e-002 -3.3399999e+000 9.1579231e-003 9.9336123e-003 8.4974151e-003 1.4288972e-002 -3.2999999e+000 1.0130142e-002 1.0867417e-002 9.2894202e-003 1.5472683e-002 -3.2600000e+000 1.0918248e-002 1.1792448e-002 1.0163402e-002 1.6703021e-002 -3.2200000e+000 1.2021597e-002 1.2639993e-002 1.1112329e-002 1.8022085e-002 -3.1799998e+000 1.3142164e-002 1.3905268e-002 1.2123878e-002 1.9395102e-002 -3.1399998e+000 1.4340878e-002 1.5057459e-002 1.3284955e-002 2.0958731e-002 -3.0999999e+000 1.5249518e-002 1.6218260e-002 1.4483818e-002 2.2354225e-002 -3.0599999e+000 1.6718442e-002 1.7466148e-002 1.5798505e-002 2.4015768e-002 -3.0200000e+000 1.8064182e-002 1.9023651e-002 1.7139168e-002 2.5480613e-002 -2.9800000e+000 2.0028487e-002 2.0458801e-002 1.8651029e-002 2.7287254e-002 -2.9400000e+000 2.1339789e-002 2.2009015e-002 2.0220323e-002 2.8969036e-002 -2.8999998e+000 2.3150444e-002 2.3688709e-002 2.1883477e-002 3.0860180e-002 -2.8599999e+000 2.4640560e-002 2.5494399e-002 2.3588760e-002 3.2806456e-002 -2.8199999e+000 2.6369097e-002 2.7045777e-002 2.5452029e-002 3.4976751e-002 -2.7800000e+000 2.7985044e-002 2.8890871e-002 2.7330346e-002 3.7203480e-002 -2.7400000e+000 3.0398371e-002 3.0736625e-002 2.9433986e-002 3.9608341e-002 -2.7000000e+000 3.2452744e-002 3.2749444e-002 3.1597637e-002 4.2080756e-002 -2.6599998e+000 3.5210457e-002 3.4728650e-002 3.3852823e-002 4.4791773e-002 -2.6199999e+000 3.7696626e-002 3.7081707e-002 3.6152169e-002 4.7293119e-002 -2.5799999e+000 4.0070217e-002 3.9378475e-002 3.8784299e-002 5.0066970e-002 -2.5399999e+000 4.2372283e-002 4.1989654e-002 4.1410804e-002 5.2920479e-002 -2.5000000e+000 4.5785639e-002 4.4441719e-002 4.4256300e-002 5.6016881e-002 -2.4600000e+000 4.8069164e-002 4.7183041e-002 4.7214381e-002 5.9255835e-002 -2.4200001e+000 5.2062672e-002 5.0158966e-002 5.0356209e-002 6.2339753e-002 -2.3799999e+000 5.5423051e-002 5.3122979e-002 5.3573981e-002 6.5970108e-002 -2.3399999e+000 5.8750317e-002 5.6348082e-002 5.6716174e-002 6.9452137e-002 -2.2999999e+000 6.1652403e-002 5.9574846e-002 6.0198884e-002 7.3094599e-002 -2.2600000e+000 6.6312157e-002 6.2847309e-002 6.3702054e-002 7.6895081e-002 -2.2200000e+000 6.9639422e-002 6.6273250e-002 6.7489378e-002 8.0677681e-002 -2.1800000e+000 7.3795855e-002 6.9728993e-002 7.1416147e-002 8.4227510e-002 -2.1399998e+000 7.7201270e-002 7.3057748e-002 7.5336374e-002 8.7934174e-002 -2.0999999e+000 8.0896750e-002 7.7070631e-002 7.9691552e-002 9.1855101e-002 -2.0599999e+000 8.5326046e-002 8.1151396e-002 8.4164999e-002 9.5888659e-002 -2.0200000e+000 8.8862590e-002 8.5134305e-002 8.8628717e-002 9.9738315e-002 -1.9800000e+000 9.3070678e-002 8.8974677e-002 9.3410417e-002 1.0400259e-001 -1.9399999e+000 9.7403266e-002 9.3479127e-002 9.8106593e-002 1.0827215e-001 -1.9000000e+000 1.0186169e-001 9.7690366e-002 1.0300334e-001 1.1241020e-001 -1.8600000e+000 1.0587905e-001 1.0226535e-001 1.0789400e-001 1.1699038e-001 -1.8199999e+000 1.1147394e-001 1.0698471e-001 1.1293248e-001 1.2131067e-001 -1.7800000e+000 1.1593237e-001 1.1173620e-001 1.1790291e-001 1.2550391e-001 -1.7400000e+000 1.2046497e-001 1.1672527e-001 1.2297516e-001 1.2987262e-001 -1.6999999e+000 1.2582143e-001 1.2167031e-001 1.2847200e-001 1.3393834e-001 -1.6599999e+000 1.3143621e-001 1.2634580e-001 1.3391398e-001 1.3835213e-001 -1.6200000e+000 1.3633968e-001 1.3134100e-001 1.3959065e-001 1.4258598e-001 -1.5799999e+000 1.4233458e-001 1.3654548e-001 1.4510415e-001 1.4698909e-001 -1.5399999e+000 1.4735062e-001 1.4182000e-001 1.5091370e-001 1.5144248e-001 -1.5000000e+000 1.5296541e-001 1.4737101e-001 1.5693858e-001 1.5585640e-001 -1.4600000e+000 1.5733375e-001 1.5276141e-001 1.6297507e-001 1.6052978e-001 -1.4199999e+000 1.6398035e-001 1.5827782e-001 1.6870081e-001 1.6495523e-001 -1.3800000e+000 1.6979642e-001 1.6387603e-001 1.7455007e-001 1.6934083e-001 -1.3400000e+000 1.7655163e-001 1.6967292e-001 1.8056653e-001 1.7379405e-001 -1.2999999e+000 1.8071468e-001 1.7519115e-001 1.8631929e-001 1.7853025e-001 -1.2600000e+000 1.8704601e-001 1.8101005e-001 1.9212377e-001 1.8296956e-001 -1.2200000e+000 1.9266076e-001 1.8720131e-001 1.9780125e-001 1.8779200e-001 -1.1799999e+000 1.9905172e-001 1.9256490e-001 2.0368987e-001 1.9273701e-001 -1.1400000e+000 2.0535789e-001 1.9830383e-001 2.0924222e-001 1.9759046e-001 -1.1000000e+000 2.1147597e-001 2.0434260e-001 2.1516979e-001 2.0252633e-001 -1.0599999e+000 2.1778481e-001 2.0996648e-001 2.2053438e-001 2.0750400e-001 -1.0200000e+000 2.2364855e-001 2.1594268e-001 2.2598369e-001 2.1168733e-001 -9.8000000e-001 2.2960109e-001 2.2144932e-001 2.3140097e-001 2.1620367e-001 -9.3999998e-001 2.3582645e-001 2.2744869e-001 2.3682757e-001 2.2043151e-001 -8.9999996e-001 2.4093127e-001 2.3370337e-001 2.4211675e-001 2.2469535e-001 -8.6000000e-001 2.4760567e-001 2.3894461e-001 2.4738348e-001 2.2899042e-001 -8.1999997e-001 2.5246808e-001 2.4492128e-001 2.5219604e-001 2.3333691e-001 -7.7999995e-001 2.5804842e-001 2.5002280e-001 2.5704381e-001 2.3747881e-001 -7.3999999e-001 2.6282471e-001 2.5535724e-001 2.6182526e-001 2.4160917e-001 -6.9999997e-001 2.6764870e-001 2.6100412e-001 2.6648664e-001 2.4579534e-001 -6.6000001e-001 2.7385026e-001 2.6595581e-001 2.7101451e-001 2.4968956e-001 -6.1999999e-001 2.7719870e-001 2.7211627e-001 2.7505478e-001 2.5308865e-001 -5.7999996e-001 2.8194061e-001 2.7685863e-001 2.7876455e-001 2.5673652e-001 -5.4000000e-001 2.8578311e-001 2.8190300e-001 2.8277412e-001 2.5981110e-001 -4.9999998e-001 2.9026672e-001 2.8645214e-001 2.8656685e-001 2.6305807e-001 -4.5999999e-001 2.9395819e-001 2.9080892e-001 2.8992254e-001 2.6618609e-001 -4.2000000e-001 2.9907361e-001 2.9515576e-001 2.9322526e-001 2.6944503e-001 -3.7999998e-001 3.0180350e-001 2.9931602e-001 2.9650921e-001 2.7213803e-001 -3.3999998e-001 3.0498639e-001 3.0294693e-001 2.9926682e-001 2.7497467e-001 -2.9999999e-001 3.0794013e-001 3.0616328e-001 3.0180836e-001 2.7745739e-001 -2.6000000e-001 3.1065941e-001 3.0974498e-001 3.0402231e-001 2.7969015e-001 -2.1999999e-001 3.1436816e-001 3.1231877e-001 3.0611160e-001 2.8195262e-001 -1.7999999e-001 3.1485426e-001 3.1444117e-001 3.0810970e-001 2.8395671e-001 -1.4000000e-001 3.1665036e-001 3.1704474e-001 3.0970359e-001 2.8606939e-001 -1.0000000e-001 3.1836697e-001 3.1900790e-001 3.1073949e-001 2.8726670e-001 -5.9999998e-002 3.1910077e-001 3.2111657e-001 3.1195053e-001 2.8888378e-001 -1.9999999e-002 3.1860673e-001 3.2255951e-001 3.1283382e-001 2.8965759e-001 2.0000000e-002 3.1829676e-001 3.2341599e-001 3.1349710e-001 2.9095510e-001 5.9999999e-002 3.1790602e-001 3.2476601e-001 3.1343013e-001 2.9193616e-001 9.9999998e-002 3.1753781e-001 3.2524982e-001 3.1374004e-001 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