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 transversal velocity diferences, dy/L=4/12. Only positive half is included, containing the average of the positive and negative tails. 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 2.0000000e-002 4.4118562e-001 4.3131130e-001 4.1810569e-001 4.2215511e-001 5.9999999e-002 4.3909916e-001 4.3033005e-001 4.1714150e-001 4.2128778e-001 9.9999998e-002 4.3785179e-001 4.2855050e-001 4.1546172e-001 4.1964731e-001 1.4000000e-001 4.3405727e-001 4.2533120e-001 4.1278002e-001 4.1702047e-001 1.8000000e-001 4.2875078e-001 4.2136990e-001 4.0936050e-001 4.1353348e-001 2.1999999e-001 4.2340064e-001 4.1628350e-001 4.0515143e-001 4.0915409e-001 2.5999999e-001 4.1712093e-001 4.1070755e-001 4.0007925e-001 4.0414333e-001 3.0000000e-001 4.1047135e-001 4.0445540e-001 3.9404464e-001 3.9848274e-001 3.3999999e-001 4.0251747e-001 3.9734030e-001 3.8734898e-001 3.9192095e-001 3.7999998e-001 3.9424503e-001 3.8949050e-001 3.7998277e-001 3.8485104e-001 4.1999998e-001 3.8465098e-001 3.8091595e-001 3.7191814e-001 3.7736845e-001 4.6000000e-001 3.7455663e-001 3.7173750e-001 3.6343068e-001 3.6910430e-001 4.9999999e-001 3.6325851e-001 3.6228645e-001 3.5456723e-001 3.6032820e-001 5.3999998e-001 3.5269663e-001 3.5235385e-001 3.4517181e-001 3.5122004e-001 5.8000000e-001 3.4127271e-001 3.4191825e-001 3.3552343e-001 3.4175578e-001 6.1999996e-001 3.2988426e-001 3.3141030e-001 3.2556880e-001 3.3173510e-001 6.5999999e-001 3.1856766e-001 3.2060065e-001 3.1551376e-001 3.2127145e-001 7.0000001e-001 3.0620134e-001 3.0972355e-001 3.0525523e-001 3.1080636e-001 7.3999997e-001 2.9448703e-001 2.9872410e-001 2.9484892e-001 3.0014855e-001 7.7999999e-001 2.8310820e-001 2.8755705e-001 2.8444135e-001 2.8948009e-001 8.1999995e-001 2.7178165e-001 2.7645725e-001 2.7393401e-001 2.7896848e-001 8.5999997e-001 2.6054084e-001 2.6542625e-001 2.6337883e-001 2.6830006e-001 8.9999999e-001 2.4924777e-001 2.5463700e-001 2.5291139e-001 2.5759751e-001 9.3999996e-001 2.3738281e-001 2.4365095e-001 2.4253327e-001 2.4696809e-001 9.7999998e-001 2.2708577e-001 2.3304855e-001 2.3232207e-001 2.3635130e-001 1.0200000e+000 2.1705331e-001 2.2250575e-001 2.2231101e-001 2.2586150e-001 1.0600000e+000 2.0628573e-001 2.1223375e-001 2.1243666e-001 2.1545421e-001 1.0999999e+000 1.9633275e-001 2.0222490e-001 2.0285699e-001 2.0549907e-001 1.1400000e+000 1.8651752e-001 1.9211630e-001 1.9335896e-001 1.9555634e-001 1.1800000e+000 1.7713077e-001 1.8253260e-001 1.8415350e-001 1.8586791e-001 1.2199999e+000 1.6744800e-001 1.7338855e-001 1.7514476e-001 1.7659624e-001 1.2600000e+000 1.5881757e-001 1.6441670e-001 1.6644284e-001 1.6732435e-001 1.3000000e+000 1.5083916e-001 1.5570300e-001 1.5798776e-001 1.5847370e-001 1.3399999e+000 1.4286606e-001 1.4717860e-001 1.4980438e-001 1.4985867e-001 1.3800000e+000 1.3499658e-001 1.3932245e-001 1.4183988e-001 1.4159332e-001 1.4200000e+000 1.2741919e-001 1.3149470e-001 1.3430482e-001 1.3345078e-001 1.4599999e+000 1.1972025e-001 1.2408720e-001 1.2689650e-001 1.2564577e-001 1.5000000e+000 1.1281339e-001 1.1698190e-001 1.1982267e-001 1.1822674e-001 1.5400000e+000 1.0606449e-001 1.1018875e-001 1.1309806e-001 1.1110485e-001 1.5799999e+000 9.9843085e-002 1.0363210e-001 1.0656040e-001 1.0442599e-001 1.6199999e+000 9.4160773e-002 9.7423050e-002 1.0034968e-001 9.7946323e-002 1.6600000e+000 8.8258266e-002 9.1593200e-002 9.4497331e-002 9.1818191e-002 1.6999999e+000 8.2997493e-002 8.5967100e-002 8.8938125e-002 8.5860223e-002 1.7399999e+000 7.8046322e-002 8.0422950e-002 8.3571047e-002 8.0232024e-002 1.7800000e+000 7.3278613e-002 7.5284300e-002 7.8556962e-002 7.4853331e-002 1.8200000e+000 6.8642035e-002 7.0304200e-002 7.3703960e-002 6.9901019e-002 1.8599999e+000 6.4452827e-002 6.5672100e-002 6.9157794e-002 6.5221667e-002 1.9000000e+000 6.0062613e-002 6.1242900e-002 6.4744696e-002 6.0733020e-002 1.9400000e+000 5.6401562e-002 5.6941150e-002 6.0618989e-002 5.6492165e-002 1.9799999e+000 5.2673623e-002 5.2823350e-002 5.6758255e-002 5.2541681e-002 2.0200000e+000 4.8956942e-002 4.9120690e-002 5.3072780e-002 4.8875559e-002 2.0600000e+000 4.5801204e-002 4.5585265e-002 4.9544878e-002 4.5427430e-002 2.0999999e+000 4.2822301e-002 4.2164040e-002 4.6185695e-002 4.2140018e-002 2.1399999e+000 3.9842729e-002 3.9012315e-002 4.3097891e-002 3.9012015e-002 2.1799998e+000 3.7071440e-002 3.6030470e-002 4.0175203e-002 3.6155399e-002 2.2200000e+000 3.4185585e-002 3.3226985e-002 3.7438147e-002 3.3396170e-002 2.2600000e+000 3.1861663e-002 3.0708315e-002 3.4914955e-002 3.0840468e-002 2.3000000e+000 2.9612914e-002 2.8214770e-002 3.2445595e-002 2.8516786e-002 2.3399999e+000 2.7195945e-002 2.5782780e-002 3.0248154e-002 2.6333736e-002 2.3799999e+000 2.5267072e-002 2.3727120e-002 2.8056053e-002 2.4326021e-002 2.4199999e+000 2.3396149e-002 2.1813730e-002 2.6069960e-002 2.2468684e-002 2.4600001e+000 2.1578871e-002 1.9939615e-002 2.4152409e-002 2.0684937e-002 2.5000000e+000 1.9719867e-002 1.8227555e-002 2.2353591e-002 1.9047610e-002 2.5400000e+000 1.8300613e-002 1.6669970e-002 2.0654142e-002 1.7460203e-002 2.5799999e+000 1.6890302e-002 1.5305690e-002 1.9088838e-002 1.6065827e-002 2.6199999e+000 1.5796224e-002 1.3948275e-002 1.7636059e-002 1.4752165e-002 2.6599999e+000 1.4629961e-002 1.2801545e-002 1.6248079e-002 1.3527973e-002 2.6999998e+000 1.3553436e-002 1.1622950e-002 1.4987808e-002 1.2391557e-002 2.7400000e+000 1.2397767e-002 1.0607475e-002 1.3808262e-002 1.1396455e-002 2.7800000e+000 1.1409654e-002 9.6658050e-003 1.2731718e-002 1.0435811e-002 2.8200000e+000 1.0596052e-002 8.8216950e-003 1.1693696e-002 9.5617641e-003 2.8599999e+000 9.7066173e-003 8.0200950e-003 1.0760901e-002 8.7437062e-003 2.8999999e+000 9.0605691e-003 7.3055000e-003 9.9108089e-003 8.0067199e-003 2.9399998e+000 8.2314024e-003 6.6327950e-003 9.1209915e-003 7.3369746e-003 2.9800000e+000 7.6247589e-003 6.0144000e-003 8.3894916e-003 6.7334776e-003 3.0200000e+000 7.0075202e-003 5.4696800e-003 7.7293608e-003 6.1408617e-003 3.0600000e+000 6.3618030e-003 4.9460685e-003 7.1295612e-003 5.6242882e-003 3.0999999e+000 5.8478783e-003 4.5037525e-003 6.5204818e-003 5.1577576e-003 3.1399999e+000 5.4081287e-003 4.1219925e-003 5.9886943e-003 4.7361632e-003 3.1799998e+000 4.9475171e-003 3.7907315e-003 5.5205491e-003 4.3382710e-003 3.2199998e+000 4.6206848e-003 3.4317375e-003 5.0558350e-003 3.9765765e-003 3.2600000e+000 4.2097438e-003 3.1160815e-003 4.6299011e-003 3.6469817e-003 3.3000000e+000 3.8875479e-003 2.8262540e-003 4.2391503e-003 3.3471577e-003 3.3399999e+000 3.5706498e-003 2.5604750e-003 3.8743571e-003 3.0828174e-003 3.3799999e+000 3.2073923e-003 2.3347635e-003 3.5643578e-003 2.8342318e-003 3.4199999e+000 2.9391714e-003 2.1076035e-003 3.2296334e-003 2.6081067e-003 3.4599998e+000 2.6765801e-003 1.9095015e-003 2.9384354e-003 2.4026879e-003 3.5000000e+000 2.4073657e-003 1.7481550e-003 2.6790814e-003 2.1913089e-003 3.5400000e+000 2.1391446e-003 1.6025785e-003 2.4463015e-003 2.0242762e-003 3.5799999e+000 1.9775499e-003 1.4245510e-003 2.2193438e-003 1.8574608e-003 3.6199999e+000 1.7984047e-003 1.3110125e-003 2.0214529e-003 1.6917009e-003 3.6599999e+000 1.5881327e-003 1.1790130e-003 1.8431817e-003 1.5692785e-003 3.6999998e+000 1.4036895e-003 1.0810380e-003 1.6659498e-003 1.4370773e-003 3.7400000e+000 1.2738839e-003 9.6302900e-004 1.5190906e-003 1.3100294e-003 3.7800000e+000 1.1314949e-003 8.6836500e-004 1.3728384e-003 1.1944522e-003 3.8200000e+000 1.0351341e-003 7.8284900e-004 1.2530589e-003 1.0982621e-003 3.8599999e+000 9.0963318e-004 6.9700200e-004 1.1415946e-003 1.0068528e-003 3.8999999e+000 8.1227889e-004 6.2667650e-004 1.0288332e-003 9.2421350e-004 3.9399998e+000 7.2684558e-004 5.5556500e-004 9.3572855e-004 8.3611038e-004 3.9799998e+000 6.4571697e-004 4.9244200e-004 8.4424275e-004 7.5449544e-004 4.0200000e+000 5.8876147e-004 4.2422780e-004 7.6678430e-004 6.7629543e-004 4.0600000e+000 5.4770050e-004 3.8821670e-004 6.8804732e-004 6.0723780e-004 4.0999999e+000 5.0597725e-004 3.3949815e-004 6.1651255e-004 5.5980246e-004 4.1399999e+000 4.2617324e-004 2.9839580e-004 5.5709190e-004 4.9754354e-004 4.1799998e+000 3.9173500e-004 2.5700365e-004 4.9601553e-004 4.4705035e-004 4.2199998e+000 3.4405128e-004 2.3746660e-004 4.5009784e-004 4.0529607e-004 4.2599998e+000 3.1325556e-004 2.0547050e-004 4.0101598e-004 3.6357282e-004 4.2999997e+000 2.8610232e-004 1.6912820e-004 3.6135313e-004 3.2756166e-004 4.3399997e+000 2.3146473e-004 1.4541050e-004 3.2388867e-004 2.9137978e-004 4.3800001e+000 2.0729173e-004 1.2471445e-004 2.8967121e-004 2.5684322e-004 4.4200001e+000 1.8941033e-004 1.0554990e-004 2.5270344e-004 2.3124740e-004 4.4600001e+000 1.7947622e-004 9.0690150e-005 2.2905477e-004 2.0194177e-004 4.5000000e+000 1.3940864e-004 7.5623400e-005 2.0100010e-004 1.8163894e-004 4.5400000e+000 1.2649431e-004 6.5027000e-005 1.8059839e-004 1.5965973e-004 4.5799999e+000 1.2881227e-004 5.4720400e-005 1.5977357e-004 1.4198013e-004 4.6199999e+000 1.0430813e-004 4.7932075e-005 1.4075158e-004 1.2326054e-004 4.6599999e+000 8.9406974e-005 3.9529475e-005 1.2668746e-004 1.0821968e-004 4.6999998e+000 7.1194438e-005 3.3279260e-005 1.1053534e-004 9.3784183e-005 4.7399998e+000 7.0532173e-005 2.8270815e-005 9.9515833e-005 8.3896644e-005 4.7799998e+000 6.2253741e-005 2.5249190e-005 8.6123189e-005 7.7486038e-005 4.8199997e+000 4.9339404e-005 1.9081765e-005 7.6087905e-005 6.6527471e-005 4.8599997e+000 5.2981912e-005 1.7260515e-005 6.6862063e-005 6.0194481e-005 4.9000001e+000 5.0001676e-005 1.4611420e-005 5.9816208e-005 5.3473439e-005 4.9400001e+000 3.9736431e-005 1.1341440e-005 5.2181658e-005 4.6100467e-005 4.9800000e+000 3.3775967e-005 9.4374050e-006 4.4666689e-005 4.1847426e-005 5.0200000e+000 3.0795734e-005 8.4026000e-006 4.0030776e-005 3.8106613e-005 5.0600000e+000 2.6822092e-005 7.3677950e-006 3.3500019e-005 3.3915661e-005 5.0999999e+000 2.5497546e-005 5.6707200e-006 3.1053285e-005 3.1820186e-005 5.1399999e+000 1.9205943e-005 5.5051500e-006 2.6582935e-005 2.8436383e-005 5.1799998e+000 2.0530490e-005 4.0564280e-006 2.2839249e-005 2.4586916e-005 5.2199998e+000 1.8874807e-005 3.8908590e-006 2.0190153e-005 2.3050234e-005 5.2599998e+000 1.3245478e-005 2.6904875e-006 1.7366290e-005 1.9573296e-005 5.2999997e+000 8.2784236e-006 2.5249190e-006 1.5747399e-005 1.7741695e-005 5.3399997e+000 6.6227390e-006 2.3179585e-006 1.3760578e-005 1.4978771e-005 5.3799997e+000 5.6293279e-006 2.4421350e-006 1.1313845e-005 1.4125059e-005 5.4200001e+000 3.3113695e-006 1.5729005e-006 9.6121676e-006 1.2138237e-005 5.4600001e+000 3.6425063e-006 1.5315085e-006 8.2508277e-006 1.0477379e-005 5.5000000e+000 4.9999999e-015 1.3659395e-006 6.8894874e-006 9.1735274e-006 5.5400000e+000 4.9999999e-015 7.8645000e-007 6.1168344e-006 8.1180278e-006 5.5799999e+000 4.9999999e-015 8.6923450e-007 5.7305083e-006 7.6989327e-006 5.6199999e+000 4.9999999e-015 7.0366600e-007 4.2955812e-006 6.0380748e-006 5.6599999e+000 4.9999999e-015 4.5531330e-007 4.3507707e-006 5.3240606e-006 5.6999998e+000 4.9999999e-015 4.5531330e-007 3.3941535e-006 4.7652670e-006 5.7399998e+000 4.9999999e-015 3.3113695e-007 3.3113693e-006 3.8339444e-006 5.7799998e+000 4.9999999e-015 1.2417635e-007 2.4283372e-006 3.3993274e-006 5.8199997e+000 4.9999999e-015 2.8974480e-007 1.9040373e-006 2.9026221e-006 5.8599997e+000 4.9999999e-015 4.1392115e-008 1.8212529e-006 2.4059166e-006 5.8999996e+000 4.9999999e-015 1.2417635e-007 1.2417635e-006 2.0799537e-006 5.9400001e+000 4.9999999e-015 4.1392115e-008 9.3822126e-007 1.5366822e-006 5.9800000e+000 4.9999999e-015 5.0000000e-015 7.0826508e-007 7.4505806e-007 6.0200000e+000 4.9999999e-015 5.0000000e-015 5.1510187e-007 4.0357313e-007 6.0600000e+000 4.9999999e-015 5.0000000e-015 3.1274041e-007 2.1730860e-007 6.0999999e+000 4.9999999e-015 5.0000000e-015 8.2784226e-008 1.0865430e-007 6.1399999e+000 4.9999999e-015 5.0000000e-015 9.1982471e-008 1.0865430e-007 6.1799998e+000 4.9999999e-015 5.0000000e-015 4.5991236e-008 6.2088169e-008 6.2199998e+000 4.9999999e-015 5.0000000e-015 1.8396500e-008 1.5522042e-008 6.2599998e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 1.5522042e-008 6.2999997e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 3.1044085e-008 6.3399997e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 4.9999999e-015 6.3799997e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 1.5522042e-008 6.4199996e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 4.9999999e-015 6.4600001e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 3.1044085e-008