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=4/9 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 -6.0200000e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -5.9800000e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -5.9400000e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -5.9000001e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -5.8599996e+000 9.9999998e-015 9.9999998e-015 1.1037897e-007 9.9999998e-015 -5.8199997e+000 9.9999998e-015 9.9999998e-015 3.6793001e-008 9.9999998e-015 -5.7799997e+000 9.9999998e-015 9.9999998e-015 3.6793001e-008 9.9999998e-015 -5.7399998e+000 9.9999998e-015 9.9999998e-015 4.4151588e-007 9.9999998e-015 -5.6999998e+000 9.9999998e-015 9.9999998e-015 1.4717196e-007 9.9999998e-015 -5.6599998e+000 9.9999998e-015 9.9999998e-015 4.7830889e-007 9.9999998e-015 -5.6199999e+000 9.9999998e-015 9.9999998e-015 3.6792991e-007 9.9999998e-015 -5.5799999e+000 9.9999998e-015 9.9999998e-015 9.1982474e-007 9.9999998e-015 -5.5399999e+000 9.9999998e-015 9.9999998e-015 1.1405828e-006 9.9999998e-015 -5.5000000e+000 9.9999998e-015 9.9999998e-015 1.1773757e-006 9.9999998e-015 -5.4600000e+000 9.9999998e-015 9.9999998e-015 1.5453056e-006 9.9999998e-015 -5.4200001e+000 9.9999998e-015 9.9999998e-015 2.7962674e-006 9.9999998e-015 -5.3800001e+000 9.9999998e-015 9.9999998e-015 2.6123023e-006 9.9999998e-015 -5.3399997e+000 9.9999998e-015 9.9999998e-015 2.6123023e-006 1.2417634e-007 -5.2999997e+000 9.9999998e-015 9.9999998e-015 3.7160921e-006 6.2088168e-007 -5.2599997e+000 9.9999998e-015 9.9999998e-015 4.1208150e-006 1.4901161e-006 -5.2199998e+000 9.9999998e-015 9.9999998e-015 4.7830886e-006 1.4901161e-006 -5.1799998e+000 9.9999998e-015 9.9999998e-015 5.8868782e-006 2.7939677e-006 -5.1399998e+000 9.9999998e-015 9.9999998e-015 6.2180152e-006 3.2285850e-006 -5.0999999e+000 9.9999998e-015 9.9999998e-015 7.8001140e-006 3.3527613e-006 -5.0599999e+000 9.9999998e-015 9.9999998e-015 7.8369067e-006 5.9604645e-006 -5.0200000e+000 9.9999998e-015 9.9999998e-015 8.9774894e-006 6.6434345e-006 -4.9800000e+000 9.9999998e-015 6.6227386e-007 1.1994514e-005 6.7676106e-006 -4.9400000e+000 9.9999998e-015 3.3113693e-007 1.1920929e-005 8.6302553e-006 -4.9000001e+000 9.9999998e-015 1.1589793e-006 1.5968157e-005 1.0989606e-005 -4.8600001e+000 9.9999998e-015 1.8212533e-006 1.5968159e-005 9.9961953e-006 -4.8199997e+000 9.9999998e-015 2.4835269e-006 1.9389905e-005 1.5832484e-005 -4.7799997e+000 9.9999998e-015 3.3113695e-006 1.9316320e-005 2.1482507e-005 -4.7399998e+000 9.9999998e-015 6.2916019e-006 2.4872061e-005 2.6325384e-005 -4.6999998e+000 5.2981909e-006 5.4637590e-006 2.7116434e-005 3.3589698e-005 -4.6599998e+000 2.6490955e-006 6.9538760e-006 3.1126867e-005 4.4517219e-005 -4.6199999e+000 9.2718337e-006 1.1258657e-005 3.4732584e-005 5.6500237e-005 -4.5799999e+000 1.1920930e-005 1.2583204e-005 3.8227918e-005 6.9973365e-005 -4.5399999e+000 9.2718337e-006 1.1755361e-005 4.4188382e-005 8.4067382e-005 -4.5000000e+000 1.3245478e-005 1.4404457e-005 4.8309197e-005 1.0666748e-004 -4.4600000e+000 1.9868217e-005 1.9040375e-005 5.4858348e-005 1.2659778e-004 -4.4200001e+000 2.3841860e-005 2.5663112e-005 6.0009370e-005 1.4069179e-004 -4.3800001e+000 1.8543667e-005 3.0133460e-005 7.0532158e-005 1.6571333e-004 -4.3400001e+000 2.3841860e-005 3.2451422e-005 8.0208716e-005 1.9234915e-004 -4.2999997e+000 3.1789146e-005 3.8411887e-005 9.3123061e-005 2.2028883e-004 -4.2599997e+000 3.4438242e-005 4.1888823e-005 1.0784026e-004 2.4661422e-004 -4.2199998e+000 3.5762791e-005 4.7849284e-005 1.2480182e-004 2.7368465e-004 -4.1799998e+000 4.9008271e-005 5.7286696e-005 1.5055691e-004 3.1050295e-004 -4.1399998e+000 3.9736431e-005 5.7452256e-005 1.6943172e-004 3.5545477e-004 -4.0999999e+000 5.5631008e-005 6.7386369e-005 1.9323677e-004 3.7960708e-004 -4.0599999e+000 5.0332816e-005 8.2949809e-005 2.2877881e-004 4.2549023e-004 -4.0200000e+000 6.3578293e-005 9.1062655e-005 2.6111986e-004 4.7950694e-004 -3.9800000e+000 9.2718343e-005 9.6857555e-005 2.9758172e-004 5.4867315e-004 -3.9399998e+000 1.2318294e-004 1.1192429e-004 3.5255041e-004 5.9915084e-004 -3.8999998e+000 1.3113022e-004 1.2516977e-004 4.0648895e-004 6.6837919e-004 -3.8599999e+000 1.5629664e-004 1.4652809e-004 4.7253235e-004 7.4536848e-004 -3.8199999e+000 1.8543669e-004 1.6010471e-004 5.4692780e-004 8.3241612e-004 -3.7800000e+000 2.3709405e-004 1.9354955e-004 6.1433256e-004 9.3585503e-004 -3.7400000e+000 2.3974315e-004 2.1987491e-004 7.0373953e-004 1.0328367e-003 -3.7000000e+000 3.3246147e-004 2.4007428e-004 8.0120418e-004 1.1563301e-003 -3.6599998e+000 3.4968057e-004 2.8742687e-004 9.1345957e-004 1.3067698e-003 -3.6199999e+000 4.3047802e-004 3.3991211e-004 1.0328160e-003 1.4475858e-003 -3.5799999e+000 5.0067907e-004 3.7882067e-004 1.1420175e-003 1.6187628e-003 -3.5399999e+000 5.7352916e-004 4.4653818e-004 1.2837810e-003 1.7680848e-003 -3.5000000e+000 7.6956226e-004 5.0001679e-004 1.4488711e-003 1.9536042e-003 -3.4600000e+000 8.3976332e-004 5.7154236e-004 1.6286785e-003 2.1630898e-003 -3.4199998e+000 1.0026827e-003 6.4886286e-004 1.8183831e-003 2.4069720e-003 -3.3799999e+000 1.2066630e-003 7.3115039e-004 2.0567281e-003 2.6538346e-003 -3.3399999e+000 1.3629597e-003 8.3115371e-004 2.2946314e-003 2.9360254e-003 -3.2999999e+000 1.6556848e-003 9.4622391e-004 2.6033984e-003 3.2003347e-003 -3.2600000e+000 1.7788677e-003 1.0775196e-003 2.9150350e-003 3.5624329e-003 -3.2200000e+000 1.9722516e-003 1.2031861e-003 3.3075793e-003 3.9312989e-003 -3.1799998e+000 2.2371614e-003 1.4036894e-003 3.6754357e-003 4.3548020e-003 -3.1399998e+000 2.4927990e-003 1.5826691e-003 4.1160686e-003 4.7957525e-003 -3.0999999e+000 2.9272505e-003 1.7740661e-003 4.5597549e-003 5.2587441e-003 -3.0599999e+000 3.2888521e-003 1.9962592e-003 5.0682714e-003 5.7329112e-003 -3.0200000e+000 3.5961475e-003 2.2472609e-003 5.6222267e-003 6.3522407e-003 -2.9800000e+000 4.1617290e-003 2.6101870e-003 6.2597385e-003 6.9925562e-003 -2.9400000e+000 4.6398905e-003 2.8926467e-003 6.9383853e-003 7.7317157e-003 -2.8999998e+000 5.2067973e-003 3.3415027e-003 7.6821926e-003 8.5128471e-003 -2.8599999e+000 5.9458949e-003 3.7521131e-003 8.5169151e-003 9.3352664e-003 -2.8199999e+000 6.4399508e-003 4.1529541e-003 9.4017498e-003 1.0150609e-002 -2.7800000e+000 7.2227591e-003 4.7417157e-003 1.0370620e-002 1.1120240e-002 -2.7400000e+000 8.1340475e-003 5.2127577e-003 1.1420139e-002 1.2127186e-002 -2.7000000e+000 9.0214945e-003 5.9053306e-003 1.2560538e-002 1.3356283e-002 -2.6599998e+000 9.7923810e-003 6.6361502e-003 1.3746339e-002 1.4622696e-002 -2.6199999e+000 1.0915599e-002 7.3434585e-003 1.5044359e-002 1.5936419e-002 -2.5799999e+000 1.2013649e-002 8.1557371e-003 1.6427703e-002 1.7485084e-002 -2.5399999e+000 1.2856062e-002 9.1539500e-003 1.7897803e-002 1.9055046e-002 -2.5000000e+000 1.4331606e-002 9.9223526e-003 1.9582957e-002 2.0613024e-002 -2.4600000e+000 1.5789935e-002 1.0994408e-002 2.1342769e-002 2.2448352e-002 -2.4200001e+000 1.7503899e-002 1.2193953e-002 2.3319323e-002 2.4338750e-002 -2.3799999e+000 1.9270847e-002 1.3503765e-002 2.5250662e-002 2.6351152e-002 -2.3399999e+000 2.0792751e-002 1.4831789e-002 2.7397681e-002 2.8427690e-002 -2.2999999e+000 2.2820635e-002 1.6437968e-002 2.9645251e-002 3.0635422e-002 -2.2600000e+000 2.5553176e-002 1.8012360e-002 3.2081719e-002 3.3201091e-002 -2.2200000e+000 2.7424760e-002 1.9902324e-002 3.4660652e-002 3.5567828e-002 -2.1800000e+000 3.0427510e-002 2.1790134e-002 3.7464533e-002 3.8039062e-002 -2.1399998e+000 3.2740172e-002 2.3793349e-002 4.0362351e-002 4.0922251e-002 -2.0999999e+000 3.5460796e-002 2.6056172e-002 4.3331031e-002 4.3722119e-002 -2.0599999e+000 3.8725805e-002 2.8546983e-002 4.6611238e-002 4.6867754e-002 -2.0200000e+000 4.2090151e-002 3.1156676e-002 5.0094061e-002 5.0148863e-002 -1.9800000e+000 4.5514110e-002 3.4108263e-002 5.3859308e-002 5.3650141e-002 -1.9399999e+000 4.9413580e-002 3.7180219e-002 5.7713043e-002 5.7157006e-002 -1.9000000e+000 5.3266689e-002 4.0513113e-002 6.1902259e-002 6.0953200e-002 -1.8600000e+000 5.7967510e-002 4.4389736e-002 6.6164099e-002 6.4875931e-002 -1.8199999e+000 6.2579580e-002 4.8011377e-002 7.0908919e-002 6.9114998e-002 -1.7800000e+000 6.7671150e-002 5.2259702e-002 7.5675048e-002 7.3765218e-002 -1.7400000e+000 7.2099112e-002 5.6791309e-002 8.0821909e-002 7.8370422e-002 -1.6999999e+000 7.7776127e-002 6.1726909e-002 8.6179003e-002 8.3515421e-002 -1.6599999e+000 8.3845198e-002 6.6454053e-002 9.1660865e-002 8.9005627e-002 -1.6200000e+000 9.0234816e-002 7.2228909e-002 9.7543068e-002 9.4776168e-002 -1.5799999e+000 9.6187331e-002 7.7872485e-002 1.0366955e-001 1.0064238e-001 -1.5399999e+000 1.0240742e-001 8.4151328e-002 1.0984002e-001 1.0680687e-001 -1.5000000e+000 1.0930169e-001 9.0385489e-002 1.1638719e-001 1.1338858e-001 -1.4600000e+000 1.1565686e-001 9.7582251e-002 1.2326244e-001 1.1989344e-001 -1.4199999e+000 1.2264120e-001 1.0482141e-001 1.3030252e-001 1.2685221e-001 -1.3800000e+000 1.3047589e-001 1.1246371e-001 1.3763118e-001 1.3420650e-001 -1.3400000e+000 1.3786291e-001 1.2053252e-001 1.4527293e-001 1.4166515e-001 -1.2999999e+000 1.4587377e-001 1.2894440e-001 1.5312050e-001 1.4948243e-001 -1.2600000e+000 1.5467803e-001 1.3751422e-001 1.6146530e-001 1.5747112e-001 -1.2200000e+000 1.6340417e-001 1.4669879e-001 1.6994539e-001 1.6614924e-001 -1.1799999e+000 1.7164417e-001 1.5672429e-001 1.7869598e-001 1.7482489e-001 -1.1400000e+000 1.8066700e-001 1.6668575e-001 1.8763027e-001 1.8350649e-001 -1.1000000e+000 1.9105808e-001 1.7762153e-001 1.9653049e-001 1.9260514e-001 -1.0599999e+000 2.0090477e-001 1.8844010e-001 2.0526052e-001 2.0163432e-001 -1.0200000e+000 2.0900039e-001 1.9968037e-001 2.1436428e-001 2.1117169e-001 -9.8000000e-001 2.1991068e-001 2.1173923e-001 2.2378401e-001 2.2125611e-001 -9.3999998e-001 2.2975208e-001 2.2380866e-001 2.3342106e-001 2.3085822e-001 -8.9999996e-001 2.3993520e-001 2.3663592e-001 2.4289890e-001 2.4077637e-001 -8.6000000e-001 2.5133029e-001 2.4922077e-001 2.5277194e-001 2.5071141e-001 -8.1999997e-001 2.6257968e-001 2.6264524e-001 2.6245412e-001 2.6033577e-001 -7.7999995e-001 2.7436018e-001 2.7615878e-001 2.7246189e-001 2.7071816e-001 -7.3999999e-001 2.8447047e-001 2.9000923e-001 2.8229204e-001 2.8088981e-001 -6.9999997e-001 2.9704174e-001 3.0387163e-001 2.9225084e-001 2.9128149e-001 -6.6000001e-001 3.0875340e-001 3.1782028e-001 3.0241984e-001 3.0114532e-001 -6.1999999e-001 3.1954184e-001 3.3131444e-001 3.1231084e-001 3.1107831e-001 -5.7999996e-001 3.3018327e-001 3.4566626e-001 3.2223052e-001 3.2125232e-001 -5.4000000e-001 3.4114257e-001 3.5910082e-001 3.3192590e-001 3.3092007e-001 -4.9999998e-001 3.5329664e-001 3.7271699e-001 3.4177020e-001 3.4079197e-001 -4.5999999e-001 3.6514869e-001 3.8617754e-001 3.5094434e-001 3.5007551e-001 -4.2000000e-001 3.7496758e-001 3.9875841e-001 3.5997087e-001 3.5955310e-001 -3.7999998e-001 3.8607788e-001 4.1173482e-001 3.6855793e-001 3.6833701e-001 -3.3999998e-001 3.9497486e-001 4.2331007e-001 3.7694898e-001 3.7703034e-001 -2.9999999e-001 4.0350232e-001 4.3451110e-001 3.8450712e-001 3.8522002e-001 -2.6000000e-001 4.1149727e-001 4.4551063e-001 3.9208841e-001 3.9297852e-001 -2.1999999e-001 4.1963792e-001 4.5621169e-001 3.9899266e-001 4.0081179e-001 -1.7999999e-001 4.2621294e-001 4.6569458e-001 4.0529814e-001 4.0753937e-001 -1.4000000e-001 4.3341720e-001 4.7430944e-001 4.1126236e-001 4.1383207e-001 -1.0000000e-001 4.4039091e-001 4.8295000e-001 4.1610807e-001 4.1947234e-001 -5.9999998e-002 4.4398180e-001 4.8966166e-001 4.2076457e-001 4.2407537e-001 -1.9999999e-002 4.4865879e-001 4.9547741e-001 4.2422238e-001 4.2833519e-001 2.0000000e-002 4.5241389e-001 5.0035572e-001 4.2704076e-001 4.3135956e-001 5.9999999e-002 4.5230660e-001 5.0425285e-001 4.2882490e-001 4.3311864e-001 9.9999998e-002 4.5450667e-001 5.0662118e-001 4.3048158e-001 4.3433687e-001 1.4000000e-001 4.5595440e-001 5.0696945e-001 4.3067944e-001 4.3449575e-001 1.8000000e-001 4.5459008e-001 5.0691634e-001 4.3031570e-001 4.3389556e-001 2.1999999e-001 4.5383510e-001 5.0424159e-001 4.2853653e-001 4.3257797e-001 2.5999999e-001 4.5177543e-001 5.0031143e-001 4.2603388e-001 4.3036863e-001 3.0000000e-001 4.4712892e-001 4.9498698e-001 4.2278045e-001 4.2690560e-001 3.3999999e-001 4.4301617e-001 4.8854804e-001 4.1851866e-001 4.2280599e-001 3.7999998e-001 4.3848887e-001 4.8024011e-001 4.1320571e-001 4.1758820e-001 4.1999998e-001 4.3062767e-001 4.7134629e-001 4.0722108e-001 4.1074803e-001 4.6000000e-001 4.2059028e-001 4.5991778e-001 4.0057671e-001 4.0308070e-001 4.9999999e-001 4.1174760e-001 4.4731173e-001 3.9301851e-001 3.9481869e-001 5.3999998e-001 4.0286648e-001 4.3368408e-001 3.8502145e-001 3.8548106e-001 5.8000000e-001 3.9321318e-001 4.1856053e-001 3.7593538e-001 3.7577847e-001 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