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=4/6. 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 3.1570330e-001 3.2493625e-001 3.2592365e-001 3.2512352e-001 5.9999999e-002 3.1537715e-001 3.2433765e-001 3.2562530e-001 3.2491654e-001 9.9999998e-002 3.1451055e-001 3.2370110e-001 3.2469761e-001 3.2445258e-001 1.4000000e-001 3.1415689e-001 3.2286570e-001 3.2341403e-001 3.2367000e-001 1.8000000e-001 3.1217870e-001 3.2100680e-001 3.2170114e-001 3.2224888e-001 2.1999999e-001 3.0986735e-001 3.1901605e-001 3.1969559e-001 3.2054782e-001 2.5999999e-001 3.0848187e-001 3.1703805e-001 3.1725213e-001 3.1854525e-001 3.0000000e-001 3.0626523e-001 3.1424095e-001 3.1443557e-001 3.1618610e-001 3.3999999e-001 3.0349562e-001 3.1169720e-001 3.1112078e-001 3.1360319e-001 3.7999998e-001 2.9987761e-001 3.0849790e-001 3.0755967e-001 3.1044587e-001 4.1999998e-001 2.9714671e-001 3.0492485e-001 3.0374241e-001 3.0728227e-001 4.6000000e-001 2.9221475e-001 3.0091945e-001 2.9967681e-001 3.0379039e-001 4.9999999e-001 2.8942594e-001 2.9691325e-001 2.9526192e-001 3.0001152e-001 5.3999998e-001 2.8484532e-001 2.9294125e-001 2.9065442e-001 2.9590619e-001 5.8000000e-001 2.8054023e-001 2.8823685e-001 2.8567404e-001 2.9125819e-001 6.1999996e-001 2.7632913e-001 2.8335650e-001 2.8065598e-001 2.8644547e-001 6.5999999e-001 2.7079055e-001 2.7826955e-001 2.7534759e-001 2.8128296e-001 7.0000001e-001 2.6567051e-001 2.7309395e-001 2.6994279e-001 2.7625883e-001 7.3999997e-001 2.6063922e-001 2.6753380e-001 2.6429147e-001 2.7061340e-001 7.7999999e-001 2.5573608e-001 2.6194360e-001 2.5871205e-001 2.6508322e-001 8.1999995e-001 2.5001433e-001 2.5633620e-001 2.5287250e-001 2.5930005e-001 8.5999997e-001 2.4520127e-001 2.5050910e-001 2.4694812e-001 2.5333562e-001 8.9999999e-001 2.3914742e-001 2.4477130e-001 2.4086431e-001 2.4740286e-001 9.3999996e-001 2.3346777e-001 2.3840445e-001 2.3473126e-001 2.4124929e-001 9.7999998e-001 2.2793184e-001 2.3232775e-001 2.2849436e-001 2.3498844e-001 1.0200000e+000 2.2195943e-001 2.2602950e-001 2.2224297e-001 2.2873819e-001 1.0600000e+000 2.1661289e-001 2.1968695e-001 2.1610127e-001 2.2228825e-001 1.0999999e+000 2.1083920e-001 2.1344260e-001 2.0980261e-001 2.1601513e-001 1.1400000e+000 2.0520358e-001 2.0739050e-001 2.0366448e-001 2.0964047e-001 1.1800000e+000 1.9920206e-001 2.0106870e-001 1.9739290e-001 2.0325537e-001 1.2199999e+000 1.9352834e-001 1.9507440e-001 1.9131941e-001 1.9680123e-001 1.2600000e+000 1.8766426e-001 1.8873255e-001 1.8509854e-001 1.9041994e-001 1.3000000e+000 1.8195444e-001 1.8284885e-001 1.7899039e-001 1.8395312e-001 1.3399999e+000 1.7648739e-001 1.7671555e-001 1.7289907e-001 1.7748699e-001 1.3800000e+000 1.7052196e-001 1.7045255e-001 1.6704601e-001 1.7105985e-001 1.4200000e+000 1.6491513e-001 1.6453585e-001 1.6112712e-001 1.6473433e-001 1.4599999e+000 1.5960933e-001 1.5861710e-001 1.5544797e-001 1.5836556e-001 1.5000000e+000 1.5416346e-001 1.5279965e-001 1.4973524e-001 1.5222795e-001 1.5400000e+000 1.4868777e-001 1.4701405e-001 1.4419134e-001 1.4608487e-001 1.5799999e+000 1.4353196e-001 1.4152180e-001 1.3861506e-001 1.4008093e-001 1.6199999e+000 1.3800927e-001 1.3576855e-001 1.3329299e-001 1.3421173e-001 1.6600000e+000 1.3301672e-001 1.3010280e-001 1.2804398e-001 1.2850000e-001 1.6999999e+000 1.2760893e-001 1.2456935e-001 1.2290445e-001 1.2303029e-001 1.7399999e+000 1.2257729e-001 1.1912190e-001 1.1789422e-001 1.1759264e-001 1.7800000e+000 1.1755195e-001 1.1387800e-001 1.1291460e-001 1.1215536e-001 1.8200000e+000 1.1248457e-001 1.0856785e-001 1.0805770e-001 1.0696044e-001 1.8599999e+000 1.0773706e-001 1.0347415e-001 1.0332451e-001 1.0188384e-001 1.9000000e+000 1.0279616e-001 9.8735800e-002 9.8751679e-002 9.6851878e-002 1.9400000e+000 9.8488741e-002 9.4022050e-002 9.4295785e-002 9.2218317e-002 1.9799999e+000 9.3906134e-002 8.9333000e-002 8.9984462e-002 8.7619342e-002 2.0200000e+000 8.9786463e-002 8.4916200e-002 8.5854284e-002 8.3147876e-002 2.0600000e+000 8.5220419e-002 8.0716900e-002 8.1762880e-002 7.8957312e-002 2.0999999e+000 8.1338495e-002 7.6641000e-002 7.7823944e-002 7.4722216e-002 2.1399999e+000 7.7670820e-002 7.2655500e-002 7.4001528e-002 7.0719093e-002 2.1799998e+000 7.3793866e-002 6.8864300e-002 7.0307747e-002 6.6822842e-002 2.2200000e+000 7.0067585e-002 6.5132700e-002 6.6763118e-002 6.3128553e-002 2.2600000e+000 6.6503227e-002 6.1575700e-002 6.3380733e-002 5.9548717e-002 2.3000000e+000 6.3082911e-002 5.8108800e-002 6.0118750e-002 5.6174148e-002 2.3399999e+000 5.9648693e-002 5.4873700e-002 5.7011850e-002 5.2905392e-002 2.3799999e+000 5.6507196e-002 5.1798650e-002 5.3993877e-002 4.9744625e-002 2.4199999e+000 5.3656440e-002 4.8923625e-002 5.1075578e-002 4.6733208e-002 2.4600001e+000 5.0365597e-002 4.5979275e-002 4.8293553e-002 4.3820325e-002 2.5000000e+000 4.7499940e-002 4.3420290e-002 4.5656119e-002 4.1002143e-002 2.5400000e+000 4.4812430e-002 4.0833615e-002 4.3123487e-002 3.8341604e-002 2.5799999e+000 4.2452421e-002 3.8449055e-002 4.0706925e-002 3.5856742e-002 2.6199999e+000 3.9829481e-002 3.6050425e-002 3.8430747e-002 3.3517834e-002 2.6599999e+000 3.7644308e-002 3.3738585e-002 3.6169838e-002 3.1399898e-002 2.6999998e+000 3.5513446e-002 3.1575480e-002 3.4052510e-002 2.9290389e-002 2.7400000e+000 3.3505097e-002 2.9593380e-002 3.2031029e-002 2.7370654e-002 2.7800000e+000 3.1317938e-002 2.7573280e-002 3.0092923e-002 2.5521513e-002 2.8200000e+000 2.9507613e-002 2.5746435e-002 2.8272534e-002 2.3784954e-002 2.8599999e+000 2.7285023e-002 2.3880560e-002 2.6501494e-002 2.2151632e-002 2.8999999e+000 2.5658146e-002 2.2265770e-002 2.4845157e-002 2.0611426e-002 2.9399998e+000 2.4071669e-002 2.0593365e-002 2.3227055e-002 1.9173138e-002 2.9800000e+000 2.2514001e-002 1.9145800e-002 2.1723079e-002 1.7779537e-002 3.0200000e+000 2.0906663e-002 1.7741655e-002 2.0269746e-002 1.6525961e-002 3.0600000e+000 1.9617544e-002 1.6414005e-002 1.8932007e-002 1.5331308e-002 3.0999999e+000 1.8217830e-002 1.5192850e-002 1.7663118e-002 1.4245976e-002 3.1399999e+000 1.6909176e-002 1.4094805e-002 1.6470060e-002 1.3213977e-002 3.1799998e+000 1.5741257e-002 1.2954450e-002 1.5323011e-002 1.2213690e-002 3.2199998e+000 1.4702149e-002 1.1963935e-002 1.4257440e-002 1.1287428e-002 3.2600000e+000 1.3507406e-002 1.1022100e-002 1.3221929e-002 1.0466715e-002 3.3000000e+000 1.2650755e-002 1.0159945e-002 1.2269441e-002 9.6894018e-003 3.3399999e+000 1.1657345e-002 9.3393450e-003 1.1379971e-002 8.9302966e-003 3.3799999e+000 1.0781157e-002 8.6422200e-003 1.0507389e-002 8.2946848e-003 3.4199999e+000 9.9612614e-003 7.9150000e-003 9.7160079e-003 7.6485951e-003 3.4599998e+000 9.1807721e-003 7.2706500e-003 8.9805620e-003 7.0899259e-003 3.5000000e+000 8.5145244e-003 6.7296150e-003 8.2895253e-003 6.5212604e-003 3.5400000e+000 7.8688068e-003 6.1565000e-003 7.6379031e-003 6.0056802e-003 3.5799999e+000 7.1803737e-003 5.6897200e-003 7.0171310e-003 5.5064135e-003 3.6199999e+000 6.5935985e-003 5.2071300e-003 6.4455341e-003 5.0657270e-003 3.6599999e+000 6.1326562e-003 4.7682890e-003 5.9314254e-003 4.6613934e-003 3.6999998e+000 5.6180693e-003 4.3761820e-003 5.4256138e-003 4.2786822e-003 3.7400000e+000 5.1726904e-003 4.0211615e-003 4.9648462e-003 3.9339066e-003 3.7800000e+000 4.6988335e-003 3.6322410e-003 4.5578517e-003 3.6173190e-003 3.8200000e+000 4.3077604e-003 3.3370325e-003 4.1690138e-003 3.3059467e-003 3.8599999e+000 3.8858920e-003 3.0389680e-003 3.8116802e-003 3.0310359e-003 3.8999999e+000 3.5875377e-003 2.7620545e-003 3.4732765e-003 2.7828694e-003 3.9399998e+000 3.3451451e-003 2.5031055e-003 3.1556152e-003 2.5666319e-003 3.9799998e+000 2.9977828e-003 2.2675430e-003 2.8785272e-003 2.3607784e-003 4.0200000e+000 2.7401585e-003 2.0240750e-003 2.6158344e-003 2.1510602e-003 4.0600000e+000 2.5375024e-003 1.8386795e-003 2.3769191e-003 1.9835774e-003 4.0999999e+000 2.3123294e-003 1.6577545e-003 2.1539629e-003 1.8164670e-003 4.1399999e+000 2.0371545e-003 1.4697100e-003 1.9469379e-003 1.6550688e-003 4.1799998e+000 1.8484065e-003 1.3092740e-003 1.7561388e-003 1.5063056e-003 4.2199998e+000 1.7944310e-003 1.1954045e-003 1.5907265e-003 1.3684233e-003 4.2599998e+000 1.5977357e-003 1.0612525e-003 1.4392957e-003 1.2361754e-003 4.2999997e+000 1.4755462e-003 9.5446100e-004 1.2936967e-003 1.1253791e-003 4.3399997e+000 1.3397802e-003 8.5064950e-004 1.1718750e-003 1.0161505e-003 4.3800001e+000 1.2116301e-003 7.5379200e-004 1.0584700e-003 9.1614202e-004 4.4200001e+000 1.1152691e-003 6.6248100e-004 9.4120146e-004 8.3525665e-004 4.4600001e+000 9.7817846e-004 5.9004450e-004 8.4954093e-004 7.5825182e-004 4.5000000e+000 9.3612418e-004 5.2406550e-004 7.5960055e-004 6.8211620e-004 4.5400000e+000 8.4605487e-004 4.5378175e-004 6.7813159e-004 6.1490573e-004 4.5799999e+000 7.4075331e-004 4.0742255e-004 6.0579658e-004 5.4935610e-004 4.6199999e+000 6.4571708e-004 3.5063260e-004 5.3195306e-004 4.9057417e-004 4.6599999e+000 5.9372856e-004 3.0795740e-004 4.7626687e-004 4.4053109e-004 4.6999998e+000 5.6326395e-004 2.6217770e-004 4.1375557e-004 3.9686760e-004 4.7399998e+000 4.7749947e-004 2.4061240e-004 3.6850019e-004 3.5773651e-004 4.7799998e+000 4.1822591e-004 2.0257300e-004 3.2352997e-004 3.2020421e-004 4.8199997e+000 3.6027702e-004 1.8104910e-004 2.8292887e-004 2.8884970e-004 4.8599997e+000 3.3246147e-004 1.5497210e-004 2.5183882e-004 2.5869036e-004 4.9000001e+000 2.8014186e-004 1.3775295e-004 2.2010488e-004 2.3295482e-004 4.9400001e+000 2.3510722e-004 1.1564960e-004 1.9427619e-004 2.1375406e-004 4.9800000e+000 2.1358333e-004 1.0078980e-004 1.7064589e-004 1.9537595e-004 5.0200000e+000 1.8742350e-004 9.1642150e-005 1.5061209e-004 1.7367613e-004 5.0600000e+000 1.5629664e-004 7.6120100e-005 1.3193046e-004 1.5899228e-004 5.0999999e+000 1.3477274e-004 6.4571700e-005 1.1537362e-004 1.4319085e-004 5.1399999e+000 1.2119612e-004 5.6293300e-005 1.0268003e-004 1.2990397e-004 5.1799998e+000 1.1093088e-004 4.7435370e-005 8.9425361e-005 1.1826245e-004 5.2199998e+000 1.0364586e-004 3.9363905e-005 7.7955148e-005 1.0724179e-004 5.2599998e+000 8.8413566e-005 3.4065715e-005 6.7184003e-005 9.8394230e-005 5.2999997e+000 6.7551940e-005 3.0464600e-005 5.8694015e-005 8.2189217e-005 5.3399997e+000 7.4505813e-005 2.6863485e-005 5.1215844e-005 7.3093295e-005 5.3799997e+000 4.8014859e-005 2.3427940e-005 4.5007026e-005 6.5549582e-005 5.4200001e+000 4.3710072e-005 2.1151375e-005 3.7951970e-005 5.9495989e-005 5.4600001e+000 2.9802324e-005 1.8419490e-005 3.3270062e-005 4.8987567e-005 5.5000000e+000 2.2186176e-005 1.3990535e-005 2.8808912e-005 4.6504039e-005 5.5400000e+000 2.1523903e-005 1.2500420e-005 2.3648696e-005 4.0233135e-005 5.5799999e+000 1.9868216e-005 1.0679165e-005 2.0171756e-005 3.6895894e-005 5.6199999e+000 1.7219121e-005 1.0306640e-005 1.6382079e-005 3.3325825e-005 5.6599999e+000 8.6095606e-006 8.1128550e-006 1.3705388e-005 2.9662624e-005 5.6999998e+000 8.9406976e-006 7.1608350e-006 1.0118072e-005 2.6014945e-005 5.7399998e+000 8.2784236e-006 6.4157800e-006 9.2350401e-006 2.2724271e-005 5.7799998e+000 7.9472866e-006 5.0498400e-006 7.5241669e-006 1.9635383e-005 5.8199997e+000 4.6359169e-006 3.7252910e-006 5.9788608e-006 1.7229468e-005 5.8599997e+000 2.9802325e-006 2.2765665e-006 4.9946484e-006 1.6282622e-005 5.8999996e+000 4.6359169e-006 1.9040375e-006 4.2311940e-006 1.4451022e-005 5.9400001e+000 4.3047803e-006 1.5729005e-006 3.8264707e-006 1.3100605e-005 5.9800000e+000 3.3113695e-006 8.2784250e-007 3.1366026e-006 1.2355546e-005 6.0200000e+000 3.3113693e-007 1.0761950e-006 2.3087600e-006 1.0601555e-005 6.0600000e+000 1.6556847e-006 4.1392120e-007 1.9316319e-006 1.0042761e-005 6.0999999e+000 1.3245477e-006 3.3113695e-007 1.3153494e-006 8.3819032e-006 6.1399999e+000 9.9341082e-007 3.3113695e-007 1.3061513e-006 7.5592347e-006 6.1799998e+000 1.3245477e-006 2.8974480e-007 8.3704049e-007 6.9849193e-006 6.2199998e+000 4.9999999e-015 2.4835270e-007 8.2784231e-007 5.1998845e-006 6.2599998e+000 4.9999999e-015 1.2417635e-007 7.7265281e-007 4.8583993e-006 6.2999997e+000 4.9999999e-015 1.6556845e-007 5.7029138e-007 4.3151276e-006 6.3399997e+000 4.9999999e-015 2.0696060e-007 4.5991237e-007 3.7563343e-006 6.3799997e+000 4.9999999e-015 5.0000000e-015 2.9434392e-007 3.3061951e-006 6.4199996e+000 4.9999999e-015 8.2784250e-008 2.4835268e-007 2.7474016e-006 6.4600001e+000 4.9999999e-015 5.0000000e-015 1.0118072e-007 2.2506961e-006 6.5000000e+000 4.9999999e-015 5.0000000e-015 9.1982479e-008 1.4435500e-006 6.5400000e+000 4.9999999e-015 5.0000000e-015 3.6792994e-008 1.2417634e-006 6.5799999e+000 4.9999999e-015 5.0000000e-015 1.8396499e-008 7.4505806e-007 6.6199999e+000 4.9999999e-015 5.0000000e-015 9.1982511e-009 5.7431555e-007 6.6599999e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 4.9670535e-007 6.6999998e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 5.1222742e-007 6.7399998e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 3.7252903e-007 6.7799998e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 3.7252903e-007 6.8199997e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 2.1730860e-007 6.8599997e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 7.7610210e-008 6.8999996e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 3.1044085e-008 6.9400001e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 6.2088169e-008 6.9800000e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 6.2088169e-008 7.0200000e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 4.6566129e-008 7.0600000e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 1.5522042e-008