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=4/15 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 -5.5000000e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -5.4600000e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -5.4200001e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -5.3800001e+000 9.9999998e-015 9.9999998e-015 3.6792997e-008 9.9999998e-015 -5.3399997e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -5.2999997e+000 9.9999998e-015 9.9999998e-015 1.4717196e-007 9.9999998e-015 -5.2599997e+000 9.9999998e-015 9.9999998e-015 3.6792997e-008 9.9999998e-015 -5.2199998e+000 9.9999998e-015 9.9999998e-015 7.3585987e-008 9.9999998e-015 -5.1799998e+000 9.9999998e-015 9.9999998e-015 7.3585987e-008 9.9999998e-015 -5.1399998e+000 9.9999998e-015 9.9999998e-015 3.6792989e-007 9.9999998e-015 -5.0999999e+000 9.9999998e-015 9.9999998e-015 2.9434392e-007 9.9999998e-015 -5.0599999e+000 9.9999998e-015 9.9999998e-015 5.8868784e-007 9.9999998e-015 -5.0200000e+000 9.9999998e-015 9.9999998e-015 7.7265281e-007 9.9999998e-015 -4.9800000e+000 9.9999998e-015 9.9999998e-015 8.8303176e-007 6.2088169e-008 -4.9400000e+000 9.9999998e-015 9.9999998e-015 1.0669967e-006 8.0714625e-007 -4.9000001e+000 9.9999998e-015 9.9999998e-015 1.3981337e-006 2.3593504e-006 -4.8600001e+000 9.9999998e-015 9.9999998e-015 1.6556845e-006 3.2285850e-006 -4.8199997e+000 9.9999998e-015 9.9999998e-015 2.2811653e-006 4.0978193e-006 -4.7799997e+000 9.9999998e-015 9.9999998e-015 2.3915445e-006 5.3395829e-006 -4.7399998e+000 9.9999998e-015 9.9999998e-015 2.9802322e-006 6.2088170e-006 -4.6999998e+000 9.9999998e-015 9.9999998e-015 3.4585412e-006 6.9538751e-006 -4.6599998e+000 9.9999998e-015 9.9999998e-015 4.3415730e-006 7.4505806e-006 -4.6199999e+000 9.9999998e-015 9.9999998e-015 4.1944008e-006 1.0182460e-005 -4.5799999e+000 9.9999998e-015 9.9999998e-015 6.1076366e-006 1.4156103e-005 -4.5399999e+000 9.9999998e-015 9.9999998e-015 6.9538751e-006 1.7322600e-005 -4.5000000e+000 9.9999998e-015 9.9999998e-015 7.5425628e-006 1.9309420e-005 -4.4600000e+000 9.9999998e-015 9.9999998e-015 1.0118072e-005 2.0985803e-005 -4.4200001e+000 9.9999998e-015 9.9999998e-015 1.1884136e-005 2.5518239e-005 -4.3800001e+000 9.9999998e-015 9.9999998e-015 1.5232298e-005 2.9926499e-005 -4.3400001e+000 9.9999998e-015 9.9999998e-015 2.0530488e-005 3.8370490e-005 -4.2999997e+000 9.9999998e-015 9.9999998e-015 2.2370137e-005 4.4082601e-005 -4.2599997e+000 9.9999998e-015 9.9999998e-015 2.6858881e-005 5.2464504e-005 -4.2199998e+000 9.9999998e-015 9.9999998e-015 3.1163661e-005 5.7990354e-005 -4.1799998e+000 9.9999998e-015 1.6556847e-007 3.5542027e-005 6.7614019e-005 -4.1399998e+000 9.9999998e-015 1.6556847e-007 4.2091182e-005 7.3636569e-005 -4.0999999e+000 9.9999998e-015 9.9999998e-015 5.1031879e-005 8.5247062e-005 -4.0599999e+000 9.9999998e-015 1.6556847e-007 5.9273509e-005 1.0126581e-004 -4.0200000e+000 1.3245477e-006 1.6556847e-007 6.8103822e-005 1.1039277e-004 -3.9800000e+000 1.3245477e-006 9.9341082e-007 8.1606857e-005 1.1691203e-004 -3.9399998e+000 7.9472866e-006 1.6556847e-006 9.6875941e-005 1.3969839e-004 -3.8999998e+000 6.6227390e-006 1.9868216e-006 1.1369034e-004 1.5944242e-004 -3.8599999e+000 1.3245477e-006 3.4769380e-006 1.3900391e-004 1.7670293e-004 -3.8199999e+000 1.1920930e-005 4.6359169e-006 1.5456736e-004 2.0923714e-004 -3.7800000e+000 6.6227390e-006 6.4571700e-006 1.7690069e-004 2.4127464e-004 -3.7400000e+000 1.0596382e-005 9.7685397e-006 2.0949928e-004 2.7318794e-004 -3.7000000e+000 1.3245477e-005 1.3742184e-005 2.3139112e-004 3.0696392e-004 -3.6599998e+000 9.2718337e-006 1.6722415e-005 2.6457838e-004 3.6153942e-004 -3.6199999e+000 1.9868217e-005 2.2186176e-005 3.0343179e-004 4.0276596e-004 -3.5799999e+000 1.7219121e-005 2.7815504e-005 3.4644280e-004 4.5802444e-004 -3.5399999e+000 2.9140050e-005 3.8246319e-005 3.9063120e-004 5.2470714e-004 -3.5000000e+000 3.3113694e-005 4.5696896e-005 4.5233301e-004 5.8903045e-004 -3.4600000e+000 3.9736431e-005 5.9107941e-005 5.1013479e-004 6.7135942e-004 -3.4199998e+000 6.2253741e-005 6.4406137e-005 5.8430946e-004 7.6300156e-004 -3.3799999e+000 6.4902844e-005 7.6492637e-005 6.6724082e-004 8.6526078e-004 -3.3399999e+000 9.9341087e-005 1.0066564e-004 7.6308660e-004 9.7509474e-004 -3.2999999e+000 1.0066563e-004 1.1473895e-004 8.5823331e-004 1.1026238e-003 -3.2600000e+000 1.4305115e-004 1.3063353e-004 9.7876706e-004 1.2438123e-003 -3.2200000e+000 1.8278760e-004 1.5927687e-004 1.1019501e-003 1.3813997e-003 -3.1799998e+000 2.3312040e-004 1.8328430e-004 1.2274510e-003 1.5399108e-003 -3.1399998e+000 2.8212866e-004 2.1689471e-004 1.3976553e-003 1.6915923e-003 -3.0999999e+000 2.9007596e-004 2.5249194e-004 1.5896779e-003 1.8718963e-003 -3.0599999e+000 3.6292608e-004 2.8477775e-004 1.7952771e-003 2.1186967e-003 -3.0200000e+000 4.8213537e-004 3.4802491e-004 2.0149681e-003 2.3716439e-003 -2.9800000e+000 5.2452087e-004 4.0117241e-004 2.2722983e-003 2.6255846e-003 -2.9400000e+000 5.6955556e-004 4.6408843e-004 2.5542798e-003 2.9154122e-003 -2.8999998e+000 7.2187855e-004 5.4356130e-004 2.8793458e-003 3.2361597e-003 -2.8599999e+000 8.8479789e-004 6.5366435e-004 3.2406531e-003 3.5809353e-003 -2.8199999e+000 9.4307802e-004 7.3197827e-004 3.6126301e-003 3.9230408e-003 -2.7800000e+000 1.0887783e-003 8.5350545e-004 4.0920060e-003 4.3856599e-003 -2.7400000e+000 1.3205741e-003 9.9572877e-004 4.5771953e-003 4.8781433e-003 -2.7000000e+000 1.5139580e-003 1.1503698e-003 5.1245643e-003 5.4139025e-003 -2.6599998e+000 1.7152893e-003 1.3290182e-003 5.6699836e-003 6.0308725e-003 -2.6199999e+000 2.0384791e-003 1.4937586e-003 6.3055828e-003 6.6997483e-003 -2.5799999e+000 2.2901429e-003 1.7629731e-003 7.0130383e-003 7.3837736e-003 -2.5399999e+000 2.5338598e-003 2.0401347e-003 7.8062210e-003 8.2162516e-003 -2.5000000e+000 3.1630201e-003 2.3227599e-003 8.6348364e-003 9.1110663e-003 -2.4600000e+000 3.5908490e-003 2.6461154e-003 9.5903873e-003 1.0117330e-002 -2.4200001e+000 4.1736499e-003 3.0658313e-003 1.0615771e-002 1.1202693e-002 -2.3799999e+000 4.7551268e-003 3.4279295e-003 1.1740716e-002 1.2479350e-002 -2.3399999e+000 5.5127679e-003 3.9445031e-003 1.3036234e-002 1.3730240e-002 -2.2999999e+000 6.4134598e-003 4.4082608e-003 1.4384808e-002 1.5113193e-002 -2.2600000e+000 7.2227591e-003 5.0788131e-003 1.5861237e-002 1.6646769e-002 -2.2200000e+000 8.2996162e-003 5.7271789e-003 1.7534914e-002 1.8223748e-002 -2.1800000e+000 9.3976660e-003 6.4570047e-003 1.9234270e-002 1.9931110e-002 -2.1399998e+000 1.0735460e-002 7.3027280e-003 2.1197289e-002 2.1960586e-002 -2.0999999e+000 1.2071929e-002 8.3125308e-003 2.3401003e-002 2.4013655e-002 -2.0599999e+000 1.3713043e-002 9.3451804e-003 2.5722090e-002 2.6229458e-002 -2.0200000e+000 1.5270711e-002 1.0671385e-002 2.8178353e-002 2.8648786e-002 -1.9800000e+000 1.7119780e-002 1.1998582e-002 3.0995481e-002 3.1301811e-002 -1.9399999e+000 1.9288065e-002 1.3529759e-002 3.3904336e-002 3.4117635e-002 -1.9000000e+000 2.1641785e-002 1.5265909e-002 3.7224129e-002 3.7229992e-002 -1.8600000e+000 2.4543872e-002 1.7094117e-002 4.0552057e-002 4.0648378e-002 -1.8199999e+000 2.6761165e-002 1.9318528e-002 4.4353545e-002 4.4255022e-002 -1.7800000e+000 2.9317541e-002 2.1513803e-002 4.8506662e-002 4.8190542e-002 -1.7400000e+000 3.2524269e-002 2.4109585e-002 5.2805118e-002 5.2454323e-002 -1.6999999e+000 3.5977367e-002 2.7193792e-002 5.7465203e-002 5.6694943e-002 -1.6599999e+000 3.9524507e-002 3.0518739e-002 6.2471848e-002 6.1490573e-002 -1.6200000e+000 4.4217378e-002 3.4214392e-002 6.7781009e-002 6.6518903e-002 -1.5799999e+000 4.9155291e-002 3.8013861e-002 7.3401093e-002 7.1806394e-002 -1.5399999e+000 5.4283943e-002 4.2566996e-002 7.9301588e-002 7.7377319e-002 -1.5000000e+000 5.9979498e-002 4.7204565e-002 8.5690983e-002 8.3472207e-002 -1.4600000e+000 6.5335967e-002 5.2606400e-002 9.2563912e-002 8.9833699e-002 -1.4199999e+000 7.2297789e-002 5.8453783e-002 9.9656239e-002 9.6732005e-002 -1.3800000e+000 7.9867579e-002 6.4680643e-002 1.0736795e-001 1.0416830e-001 -1.3400000e+000 8.7649308e-002 7.1867809e-002 1.1529157e-001 1.1201327e-001 -1.2999999e+000 9.5420420e-002 7.9416744e-002 1.2376732e-001 1.2062123e-001 -1.2600000e+000 1.0439157e-001 8.7588213e-002 1.3269462e-001 1.2945570e-001 -1.2200000e+000 1.1424357e-001 9.6523263e-002 1.4218482e-001 1.3857017e-001 -1.1799999e+000 1.2333659e-001 1.0611615e-001 1.5213901e-001 1.4852042e-001 -1.1400000e+000 1.3582973e-001 1.1642741e-001 1.6249569e-001 1.5867668e-001 -1.1000000e+000 1.4745925e-001 1.2761472e-001 1.7336980e-001 1.6938964e-001 -1.0599999e+000 1.5968616e-001 1.3941561e-001 1.8474911e-001 1.8033366e-001 -1.0200000e+000 1.7216207e-001 1.5265925e-001 1.9627076e-001 1.9216220e-001 -9.8000000e-001 1.8572147e-001 1.6692398e-001 2.0865673e-001 2.0415585e-001 -9.3999998e-001 2.0101468e-001 1.8160181e-001 2.2101380e-001 2.1715368e-001 -8.9999996e-001 2.1612115e-001 1.9800317e-001 2.3356007e-001 2.3003680e-001 -8.6000000e-001 2.3104219e-001 2.1460091e-001 2.4700426e-001 2.4367477e-001 -8.1999997e-001 2.4870239e-001 2.3222220e-001 2.6063108e-001 2.5774723e-001 -7.7999995e-001 2.6539961e-001 2.5145099e-001 2.7484277e-001 2.7216983e-001 -7.3999999e-001 2.8271940e-001 2.7123842e-001 2.8896195e-001 2.8653821e-001 -6.9999997e-001 3.0137035e-001 2.9222503e-001 3.0357701e-001 3.0187863e-001 -6.6000001e-001 3.2073528e-001 3.1393352e-001 3.1839931e-001 3.1718612e-001 -6.1999999e-001 3.3960876e-001 3.3703399e-001 3.3313578e-001 3.3223653e-001 -5.7999996e-001 3.5953125e-001 3.5986921e-001 3.4844619e-001 3.4729719e-001 -5.4000000e-001 3.7853590e-001 3.8353822e-001 3.6344156e-001 3.6217904e-001 -4.9999998e-001 3.9997503e-001 4.0774217e-001 3.7869340e-001 3.7768203e-001 -4.5999999e-001 4.1945252e-001 4.3266764e-001 3.9353624e-001 3.9326170e-001 -4.2000000e-001 4.4069561e-001 4.5704150e-001 4.0848351e-001 4.0831411e-001 -3.7999998e-001 4.6170425e-001 4.8187530e-001 4.2260054e-001 4.2345163e-001 -3.3999998e-001 4.8102674e-001 5.0644642e-001 4.3669400e-001 4.3804502e-001 -2.9999999e-001 5.0021547e-001 5.3094316e-001 4.4978619e-001 4.5266816e-001 -2.6000000e-001 5.1694447e-001 5.5448914e-001 4.6230322e-001 4.6639547e-001 -2.1999999e-001 5.3532130e-001 5.7704651e-001 4.7367933e-001 4.7853783e-001 -1.7999999e-001 5.5053633e-001 5.9836107e-001 4.8470730e-001 4.8957205e-001 -1.4000000e-001 5.6573945e-001 6.1779112e-001 4.9477631e-001 4.9933183e-001 -1.0000000e-001 5.8040887e-001 6.3429677e-001 5.0352013e-001 5.0783825e-001 -5.9999998e-002 5.9158278e-001 6.5095592e-001 5.1114953e-001 5.1496547e-001 -1.9999999e-002 6.0144800e-001 6.6340423e-001 5.1763123e-001 5.2143043e-001 2.0000000e-002 6.1034632e-001 6.7390245e-001 5.2220792e-001 5.2635825e-001 5.9999999e-002 6.1596900e-001 6.8130034e-001 5.2527165e-001 5.2976072e-001 9.9999998e-002 6.1927509e-001 6.8400788e-001 5.2652240e-001 5.3201681e-001 1.4000000e-001 6.1851478e-001 6.8405312e-001 5.2645916e-001 5.3173578e-001 1.8000000e-001 6.1619949e-001 6.7903209e-001 5.2444780e-001 5.3038567e-001 2.1999999e-001 6.1108679e-001 6.6996354e-001 5.2090609e-001 5.2642548e-001 2.5999999e-001 6.0485077e-001 6.5697932e-001 5.1592743e-001 5.2085435e-001 3.0000000e-001 5.9452063e-001 6.4040577e-001 5.0866079e-001 5.1326466e-001 3.3999999e-001 5.7919818e-001 6.2061548e-001 5.0018722e-001 5.0439614e-001 3.7999998e-001 5.6228375e-001 5.9759337e-001 4.8915416e-001 4.9379387e-001 4.1999998e-001 5.4369634e-001 5.7215148e-001 4.7727942e-001 4.8173940e-001 4.6000000e-001 5.2110887e-001 5.4319489e-001 4.6408027e-001 4.6835318e-001 4.9999999e-001 4.9781537e-001 5.1286078e-001 4.4940829e-001 4.5371234e-001 5.3999998e-001 4.7389272e-001 4.8055506e-001 4.3342632e-001 4.3733710e-001 5.8000000e-001 4.5055151e-001 4.4837466e-001 4.1717353e-001 4.1991523e-001 6.1999996e-001 4.2587391e-001 4.1623947e-001 3.9947951e-001 4.0220693e-001 6.5999999e-001 4.0072206e-001 3.8357827e-001 3.8152295e-001 3.8371035e-001 7.0000001e-001 3.7317145e-001 3.5104856e-001 3.6324722e-001 3.6488256e-001 7.3999997e-001 3.4525928e-001 3.1996372e-001 3.4464809e-001 3.4552035e-001 7.7999999e-001 3.1836566e-001 2.8938818e-001 3.2618380e-001 3.2641354e-001 8.1999995e-001 2.9239923e-001 2.6087299e-001 3.0722338e-001 3.0732590e-001 8.5999997e-001 2.6844475e-001 2.3385835e-001 2.8890675e-001 2.8885391e-001 9.0000000e-001 2.4331546e-001 2.0941697e-001 2.7100554e-001 2.7041912e-001 9.3999996e-001 2.2099815e-001 1.8647216e-001 2.5305349e-001 2.5163803e-001 9.7999998e-001 2.0008485e-001 1.6534893e-001 2.3570344e-001 2.3398262e-001 1.0200000e+000 1.7910801e-001 1.4679350e-001 2.1876380e-001 2.1669890e-001 1.0600000e+000 1.6079216e-001 1.2931229e-001 2.0288818e-001 2.0040876e-001 1.0999999e+000 1.4307368e-001 1.1402717e-001 1.8771493e-001 1.8510203e-001 1.1400000e+000 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