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=4/3. 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 2.6156440e-001 2.6487805e-001 2.7088219e-001 2.7581993e-001 5.9999999e-002 2.6124454e-001 2.6474895e-001 2.7070296e-001 2.7548918e-001 9.9999998e-002 2.6106671e-001 2.6445315e-001 2.7023613e-001 2.7532423e-001 1.4000000e-001 2.6102531e-001 2.6419150e-001 2.6961982e-001 2.7452976e-001 1.8000000e-001 2.6095012e-001 2.6319035e-001 2.6874995e-001 2.7367255e-001 2.1999999e-001 2.5996998e-001 2.6246440e-001 2.6782072e-001 2.7271497e-001 2.5999999e-001 2.5942492e-001 2.6174235e-001 2.6653972e-001 2.7136537e-001 3.0000000e-001 2.5859776e-001 2.6038950e-001 2.6526946e-001 2.6993561e-001 3.3999999e-001 2.5652879e-001 2.5920650e-001 2.6389694e-001 2.6848602e-001 3.7999998e-001 2.5532350e-001 2.5810630e-001 2.6214778e-001 2.6664335e-001 4.1999998e-001 2.5347307e-001 2.5631060e-001 2.6032576e-001 2.6450759e-001 4.6000000e-001 2.5216243e-001 2.5458600e-001 2.5818554e-001 2.6255670e-001 4.9999999e-001 2.4967593e-001 2.5262255e-001 2.5586876e-001 2.6023263e-001 5.3999998e-001 2.4726890e-001 2.5044485e-001 2.5341061e-001 2.5783828e-001 5.8000000e-001 2.4477379e-001 2.4794945e-001 2.5056612e-001 2.5528720e-001 6.1999996e-001 2.4217634e-001 2.4576815e-001 2.4757287e-001 2.5243339e-001 6.5999999e-001 2.3917723e-001 2.4321970e-001 2.4445340e-001 2.4968034e-001 7.0000001e-001 2.3670828e-001 2.4060590e-001 2.4127899e-001 2.4683543e-001 7.3999997e-001 2.3374261e-001 2.3784750e-001 2.3797457e-001 2.4372445e-001 7.7999999e-001 2.3070145e-001 2.3475420e-001 2.3451824e-001 2.4048570e-001 8.1999995e-001 2.2698808e-001 2.3181070e-001 2.3097679e-001 2.3710121e-001 8.5999997e-001 2.2448201e-001 2.2849400e-001 2.2736478e-001 2.3349537e-001 8.9999999e-001 2.2131868e-001 2.2519960e-001 2.2358799e-001 2.2989328e-001 9.3999996e-001 2.1767454e-001 2.2190810e-001 2.1980117e-001 2.2606488e-001 9.7999998e-001 2.1476053e-001 2.1834605e-001 2.1595785e-001 2.2201516e-001 1.0200000e+000 2.1112232e-001 2.1464745e-001 2.1190867e-001 2.1777372e-001 1.0600000e+000 2.0825468e-001 2.1073705e-001 2.0802641e-001 2.1356367e-001 1.0999999e+000 2.0498173e-001 2.0717560e-001 2.0394024e-001 2.0899518e-001 1.1400000e+000 2.0111734e-001 2.0328620e-001 1.9980220e-001 2.0456725e-001 1.1800000e+000 1.9705893e-001 1.9932010e-001 1.9556130e-001 2.0022355e-001 1.2199999e+000 1.9308232e-001 1.9543245e-001 1.9143666e-001 1.9564518e-001 1.2600000e+000 1.8982029e-001 1.9150935e-001 1.8726890e-001 1.9094589e-001 1.3000000e+000 1.8533206e-001 1.8736690e-001 1.8292192e-001 1.8639413e-001 1.3399999e+000 1.8143755e-001 1.8317550e-001 1.7858545e-001 1.8177332e-001 1.3800000e+000 1.7782252e-001 1.7906225e-001 1.7433165e-001 1.7709251e-001 1.4200000e+000 1.7367436e-001 1.7477590e-001 1.7000660e-001 1.7249845e-001 1.4599999e+000 1.6968550e-001 1.7061440e-001 1.6568005e-001 1.6781260e-001 1.5000000e+000 1.6568106e-001 1.6625630e-001 1.6121294e-001 1.6313529e-001 1.5400000e+000 1.6161172e-001 1.6171410e-001 1.5683679e-001 1.5861006e-001 1.5799999e+000 1.5722482e-001 1.5720550e-001 1.5237162e-001 1.5391460e-001 1.6199999e+000 1.5334223e-001 1.5285220e-001 1.4803451e-001 1.4922589e-001 1.6600000e+000 1.4926362e-001 1.4837415e-001 1.4363283e-001 1.4447650e-001 1.6999999e+000 1.4500387e-001 1.4386135e-001 1.3928747e-001 1.3980080e-001 1.7399999e+000 1.4077623e-001 1.3927895e-001 1.3486600e-001 1.3514915e-001 1.7800000e+000 1.3701750e-001 1.3508370e-001 1.3053714e-001 1.3049236e-001 1.8200000e+000 1.3285875e-001 1.3067120e-001 1.2627199e-001 1.2593427e-001 1.8599999e+000 1.2875099e-001 1.2649175e-001 1.2208464e-001 1.2137232e-001 1.9000000e+000 1.2423893e-001 1.2215905e-001 1.1797537e-001 1.1696457e-001 1.9400000e+000 1.2011132e-001 1.1803700e-001 1.1405391e-001 1.1267143e-001 1.9799999e+000 1.1612079e-001 1.1377090e-001 1.1013958e-001 1.0848292e-001 2.0200000e+000 1.1159050e-001 1.0975150e-001 1.0618182e-001 1.0432193e-001 2.0600000e+000 1.0794004e-001 1.0571660e-001 1.0241753e-001 1.0024045e-001 2.0999999e+000 1.0407469e-001 1.0172725e-001 9.8677397e-002 9.6223034e-002 2.1399999e+000 9.9816591e-002 9.7873450e-002 9.5038958e-002 9.2403263e-002 2.1799998e+000 9.6396945e-002 9.4042400e-002 9.1473483e-002 8.8583320e-002 2.2200000e+000 9.2723966e-002 9.0380200e-002 8.7944090e-002 8.4914558e-002 2.2600000e+000 8.9035116e-002 8.6598800e-002 8.4591359e-002 8.1253171e-002 2.3000000e+000 8.5507832e-002 8.2933500e-002 8.1237957e-002 7.7714100e-002 2.3399999e+000 8.2168646e-002 7.9388300e-002 7.7921473e-002 7.4211255e-002 2.3799999e+000 7.8679122e-002 7.5979100e-002 7.4738503e-002 7.0800319e-002 2.4199999e+000 7.4979335e-002 7.2513150e-002 7.1676493e-002 6.7551449e-002 2.4600001e+000 7.1928240e-002 6.9242300e-002 6.8579748e-002 6.4289413e-002 2.5000000e+000 6.8676807e-002 6.5980550e-002 6.5582149e-002 6.1164796e-002 2.5400000e+000 6.5542601e-002 6.2852800e-002 6.2723823e-002 5.8091883e-002 2.5799999e+000 6.2776946e-002 5.9555650e-002 5.9870344e-002 5.5075917e-002 2.6199999e+000 5.9789758e-002 5.6543750e-002 5.7130404e-002 5.2232280e-002 2.6599999e+000 5.6499574e-002 5.3653850e-002 5.4451697e-002 4.9486399e-002 2.6999998e+000 5.3838562e-002 5.0858500e-002 5.1814742e-002 4.6811298e-002 2.7400000e+000 5.1180858e-002 4.8233700e-002 4.9286693e-002 4.4318985e-002 2.7800000e+000 4.8349965e-002 4.5629015e-002 4.6870179e-002 4.1951146e-002 2.8200000e+000 4.6038967e-002 4.3106990e-002 4.4542871e-002 3.9728265e-002 2.8599999e+000 4.3585569e-002 4.0762340e-002 4.2204585e-002 3.7616085e-002 2.8999999e+000 4.1032836e-002 3.8502575e-002 4.0039290e-002 3.5549466e-002 2.9399998e+000 3.8818851e-002 3.6322290e-002 3.7958287e-002 3.3542838e-002 2.9800000e+000 3.6662158e-002 3.4290390e-002 3.5901412e-002 3.1618137e-002 3.0200000e+000 3.4301482e-002 3.2315905e-002 3.3962093e-002 2.9784147e-002 3.0600000e+000 3.2252073e-002 3.0435130e-002 3.2100458e-002 2.7979197e-002 3.0999999e+000 3.0050678e-002 2.8640655e-002 3.0275259e-002 2.6282808e-002 3.1399999e+000 2.8317505e-002 2.6817165e-002 2.8514670e-002 2.4711046e-002 3.1799998e+000 2.6462808e-002 2.5096125e-002 2.6874531e-002 2.3167333e-002 3.2199998e+000 2.4638576e-002 2.3526245e-002 2.5315354e-002 2.1781804e-002 3.2600000e+000 2.2932559e-002 2.1938980e-002 2.3788489e-002 2.0394256e-002 3.3000000e+000 2.1570260e-002 2.0434420e-002 2.2313837e-002 1.9108487e-002 3.3399999e+000 2.0023189e-002 1.9074150e-002 2.0989895e-002 1.7895037e-002 3.3799999e+000 1.8658573e-002 1.7786400e-002 1.9681979e-002 1.6768865e-002 3.4199999e+000 1.7354885e-002 1.6537685e-002 1.8437952e-002 1.5702393e-002 3.4599998e+000 1.6193591e-002 1.5393315e-002 1.7260300e-002 1.4698117e-002 3.5000000e+000 1.5067394e-002 1.4314555e-002 1.6086210e-002 1.3653499e-002 3.5400000e+000 1.4055438e-002 1.3286870e-002 1.5045922e-002 1.2714679e-002 3.5799999e+000 1.3073619e-002 1.2345365e-002 1.4014735e-002 1.1806702e-002 3.6199999e+000 1.2218622e-002 1.1419630e-002 1.3067683e-002 1.0945105e-002 3.6599999e+000 1.1296737e-002 1.0572995e-002 1.2141337e-002 1.0158820e-002 3.6999998e+000 1.0509625e-002 9.7431250e-003 1.1280887e-002 9.4005056e-003 3.7400000e+000 9.7291349e-003 9.0015450e-003 1.0453688e-002 8.7143537e-003 3.7800000e+000 9.0562645e-003 8.2785900e-003 9.6900780e-003 8.0492655e-003 3.8200000e+000 8.3006099e-003 7.7004650e-003 8.9645935e-003 7.4047749e-003 3.8599999e+000 7.6472764e-003 7.0632350e-003 8.2894331e-003 6.8174829e-003 3.8999999e+000 7.2111692e-003 6.4998450e-003 7.6554166e-003 6.2923878e-003 3.9399998e+000 6.5131323e-003 6.0191150e-003 7.0723854e-003 5.7838704e-003 3.9799998e+000 5.9839762e-003 5.5526300e-003 6.5207202e-003 5.2988529e-003 4.0200000e+000 5.2938866e-003 5.0453250e-003 5.9936610e-003 4.8159775e-003 4.0600000e+000 4.9001644e-003 4.6557025e-003 5.5308696e-003 4.4138790e-003 4.0999999e+000 4.3491526e-003 4.2591660e-003 5.0647296e-003 4.0407912e-003 4.1399999e+000 3.9517884e-003 3.8978545e-003 4.6493374e-003 3.7126865e-003 4.1799998e+000 3.6928393e-003 3.5426270e-003 4.2738277e-003 3.3949967e-003 4.2199998e+000 3.3001106e-003 3.2088825e-003 3.9278911e-003 3.1040516e-003 4.2599998e+000 2.9842062e-003 2.9355705e-003 3.5761774e-003 2.8281938e-003 4.2999997e+000 2.7573772e-003 2.6552220e-003 3.2762503e-003 2.5577531e-003 4.3399997e+000 2.4418037e-003 2.3680845e-003 2.9750629e-003 2.3114961e-003 4.3800001e+000 2.1768941e-003 2.1381510e-003 2.7002650e-003 2.0883977e-003 4.4200001e+000 2.0083457e-003 1.9333430e-003 2.4577717e-003 1.8853383e-003 4.4600001e+000 1.8113190e-003 1.7385515e-003 2.2277236e-003 1.6964196e-003 4.5000000e+000 1.6176039e-003 1.5802270e-003 2.0270729e-003 1.5306752e-003 4.5400000e+000 1.4828312e-003 1.4349405e-003 1.8373406e-003 1.3772087e-003 4.5799999e+000 1.2609694e-003 1.2673440e-003 1.6650115e-003 1.2548175e-003 4.6199999e+000 1.1195739e-003 1.1392765e-003 1.5088252e-003 1.1287630e-003 4.6599999e+000 9.8380784e-004 1.0089330e-003 1.3644864e-003 1.0302290e-003 4.6999998e+000 8.2916691e-004 8.9502200e-004 1.2263840e-003 9.3250227e-004 4.7399998e+000 7.2055397e-004 7.9423200e-004 1.1159590e-003 8.4393349e-004 4.7799998e+000 6.3247158e-004 6.9642250e-004 1.0027194e-003 7.6686655e-004 4.8199997e+000 5.7054893e-004 6.0362150e-004 8.9314982e-004 6.9728121e-004 4.8599997e+000 4.7948631e-004 5.3110250e-004 8.0190325e-004 6.2223210e-004 4.9000001e+000 4.1458345e-004 4.5465100e-004 7.1773003e-004 5.5666699e-004 4.9400001e+000 3.8378770e-004 4.0278670e-004 6.3518493e-004 5.0007366e-004 4.9800000e+000 3.2683215e-004 3.4930810e-004 5.6758703e-004 4.4062422e-004 5.0200000e+000 2.6490955e-004 3.0340425e-004 5.0494698e-004 3.9379424e-004 5.0600000e+000 2.5663115e-004 2.6474400e-004 4.5126601e-004 3.4517920e-004 5.0999999e+000 2.2914675e-004 2.2960210e-004 4.0555993e-004 3.0264878e-004 5.1399999e+000 1.9537080e-004 2.0021370e-004 3.6180386e-004 2.6674630e-004 5.1799998e+000 1.8212532e-004 1.7446775e-004 3.2297807e-004 2.3311004e-004 5.2199998e+000 1.5033617e-004 1.4834935e-004 2.8966201e-004 2.0045166e-004 5.2599998e+000 1.4106433e-004 1.2430055e-004 2.6202126e-004 1.7707546e-004 5.2999997e+000 1.2483863e-004 1.0199020e-004 2.3676289e-004 1.4918235e-004 5.3399997e+000 1.0530155e-004 8.7089000e-005 2.1240592e-004 1.2620972e-004 5.3799997e+000 7.7817182e-005 7.3181250e-005 1.9069806e-004 1.0609316e-004 5.4200001e+000 7.2850125e-005 6.4075000e-005 1.6796001e-004 8.6178385e-005 5.4600001e+000 5.3644184e-005 5.2361050e-005 1.5123759e-004 7.4272975e-005 5.5000000e+000 5.2650776e-005 4.5076015e-005 1.3639161e-004 5.9946131e-005 5.5400000e+000 3.9074159e-005 3.9570865e-005 1.2526174e-004 5.1688403e-005 5.5799999e+000 3.1789146e-005 3.5431655e-005 1.1220023e-004 4.5200188e-005 5.6199999e+000 3.0133460e-005 2.9678150e-005 1.0341589e-004 3.8091093e-005 5.6599999e+000 2.3841858e-005 2.4048820e-005 9.1439775e-005 3.0718122e-005 5.6999998e+000 1.9537079e-005 2.2227570e-005 8.1818413e-005 2.6139120e-005 5.7399998e+000 2.0861627e-005 1.8005570e-005 7.4128679e-005 2.0892670e-005 5.7799998e+000 2.0530490e-005 1.4776985e-005 6.5270768e-005 1.6422320e-005 5.8199997e+000 1.2252068e-005 1.2500420e-005 5.7746598e-005 1.2898818e-005 5.8599997e+000 1.2583204e-005 1.0099675e-005 5.1261832e-005 1.0182460e-005 5.8999996e+000 1.7219121e-005 8.9407000e-006 4.5706092e-005 8.4284693e-006 5.9400001e+000 1.3245477e-005 7.0780500e-006 4.0729843e-005 6.5347799e-006 5.9800000e+000 1.2914341e-005 6.0846400e-006 3.7722013e-005 4.9825758e-006 6.0200000e+000 1.4238889e-005 5.8362900e-006 3.3178079e-005 4.3616938e-006 6.0600000e+000 1.0927520e-005 4.3461725e-006 2.8413388e-005 3.1044085e-006 6.0999999e+000 6.2916020e-006 4.4289570e-006 2.6435762e-005 2.9491882e-006 6.1399999e+000 9.6029717e-006 3.8908595e-006 2.3427936e-005 1.8626451e-006 6.1799998e+000 7.9472866e-006 3.3527615e-006 1.9987792e-005 1.7229468e-006 6.2199998e+000 8.2784236e-006 3.0630170e-006 1.7596249e-005 1.2417634e-006 6.2599998e+000 5.9604649e-006 2.7318795e-006 1.5508245e-005 9.6236658e-007 6.2999997e+000 6.6227390e-006 2.2765665e-006 1.4533231e-005 7.2953600e-007 6.3399997e+000 7.2850125e-006 1.4487240e-006 1.2482022e-005 8.2266826e-007 6.3799997e+000 7.9472866e-006 9.5201900e-007 1.0899923e-005 5.7431555e-007 6.4199996e+000 3.9736433e-006 1.2417635e-006 9.4649968e-006 3.5700700e-007 6.4600001e+000 4.9670539e-006 7.0366600e-007 8.8487141e-006 1.3969839e-007 6.5000000e+000 6.6227390e-006 5.3809750e-007 7.3585979e-006 9.3132257e-008 6.5400000e+000 5.2981909e-006 3.7252905e-007 5.8592836e-006 1.5522042e-007 6.5799999e+000 3.9736433e-006 4.5531330e-007 4.9578557e-006 4.9999999e-015 6.6199999e+000 3.6425063e-006 4.1392120e-007 4.6727100e-006 4.9999999e-015 6.6599999e+000 2.9802325e-006 1.6556845e-007 4.0472287e-006 4.9999999e-015 6.6999998e+000 3.3113695e-006 1.2417635e-007 3.9184533e-006 4.9999999e-015 6.7399998e+000 2.6490954e-006 5.0000000e-015 3.1090078e-006 4.9999999e-015 6.7799998e+000 1.9868216e-006 5.0000000e-015 2.7686724e-006 4.9999999e-015 6.8199997e+000 6.6227386e-007 4.1392125e-008 2.0052180e-006 4.9999999e-015 6.8599997e+000 4.9999999e-015 4.1392125e-008 1.4717197e-006 4.9999999e-015 6.8999996e+000 4.9999999e-015 5.0000000e-015 1.4349266e-006 4.9999999e-015 6.9400001e+000 4.9999999e-015 4.1392125e-008 8.3704055e-007 4.9999999e-015 6.9800000e+000 4.9999999e-015 5.0000000e-015 6.8067027e-007 4.9999999e-015 7.0200000e+000 4.9999999e-015 5.0000000e-015 5.6109309e-007 4.9999999e-015 7.0600000e+000 4.9999999e-015 5.0000000e-015 4.5071414e-007 4.9999999e-015 7.0999999e+000 4.9999999e-015 5.0000000e-015 1.6556845e-007 4.9999999e-015 7.1399999e+000 4.9999999e-015 5.0000000e-015 9.1982471e-008 4.9999999e-015 7.1799998e+000 4.9999999e-015 5.0000000e-015 5.5189489e-008 4.9999999e-015 7.2199998e+000 4.9999999e-015 5.0000000e-015 4.5991239e-008 4.9999999e-015 7.2599998e+000 4.9999999e-015 5.0000000e-015 9.1982511e-009 4.9999999e-015