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=4/15. 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 5.0962538e-001 4.8330565e-001 4.5743337e-001 4.6281317e-001 5.9999999e-002 5.0789350e-001 4.8189460e-001 4.5645326e-001 4.6152145e-001 9.9999998e-002 5.0424475e-001 4.7855340e-001 4.5382288e-001 4.5910040e-001 1.4000000e-001 4.9815345e-001 4.7449475e-001 4.5034108e-001 4.5548207e-001 1.8000000e-001 4.9035287e-001 4.6859860e-001 4.4550082e-001 4.5075825e-001 2.1999999e-001 4.8207378e-001 4.6117075e-001 4.3953511e-001 4.4487250e-001 2.5999999e-001 4.7146055e-001 4.5319070e-001 4.3276772e-001 4.3807268e-001 3.0000000e-001 4.6014592e-001 4.4430925e-001 4.2489439e-001 4.3029213e-001 3.3999999e-001 4.4766501e-001 4.3429710e-001 4.1617104e-001 4.2149219e-001 3.7999998e-001 4.3367147e-001 4.2301185e-001 4.0674603e-001 4.1194576e-001 4.1999998e-001 4.1996145e-001 4.1126535e-001 3.9633209e-001 4.0176016e-001 4.6000000e-001 4.0452120e-001 3.9900870e-001 3.8561547e-001 3.9087820e-001 4.9999999e-001 3.8944486e-001 3.8564025e-001 3.7408781e-001 3.7931669e-001 5.3999998e-001 3.7306452e-001 3.7171590e-001 3.6226001e-001 3.6735129e-001 5.8000000e-001 3.5824347e-001 3.5794170e-001 3.4998715e-001 3.5506356e-001 6.1999996e-001 3.4337708e-001 3.4390650e-001 3.3764783e-001 3.4274366e-001 6.5999999e-001 3.2786033e-001 3.2987990e-001 3.2508692e-001 3.3008125e-001 7.0000001e-001 3.1167865e-001 3.1598950e-001 3.1229287e-001 3.1726727e-001 7.3999997e-001 2.9696491e-001 3.0187490e-001 2.9969534e-001 3.0446166e-001 7.7999999e-001 2.8206775e-001 2.8777165e-001 2.8712302e-001 2.9184806e-001 8.1999995e-001 2.6770303e-001 2.7420730e-001 2.7486670e-001 2.7914721e-001 8.5999997e-001 2.5322840e-001 2.6104675e-001 2.6253423e-001 2.6632541e-001 8.9999999e-001 2.3965175e-001 2.4775750e-001 2.5052592e-001 2.5388688e-001 9.3999996e-001 2.2658277e-001 2.3537325e-001 2.3862438e-001 2.4143042e-001 9.7999998e-001 2.1369095e-001 2.2293395e-001 2.2704419e-001 2.2935450e-001 1.0200000e+000 2.0116304e-001 2.1095915e-001 2.1569958e-001 2.1737671e-001 1.0600000e+000 1.8939145e-001 1.9944915e-001 2.0455775e-001 2.0594840e-001 1.0999999e+000 1.7828214e-001 1.8829940e-001 1.9378547e-001 1.9482692e-001 1.1400000e+000 1.6806424e-001 1.7738160e-001 1.8346523e-001 1.8412560e-001 1.1800000e+000 1.5818477e-001 1.6697865e-001 1.7343597e-001 1.7369303e-001 1.2199999e+000 1.4809339e-001 1.5728345e-001 1.6372685e-001 1.6366574e-001 1.2600000e+000 1.3881160e-001 1.4770735e-001 1.5442505e-001 1.5381670e-001 1.3000000e+000 1.2968384e-001 1.3869945e-001 1.4560963e-001 1.4455152e-001 1.3399999e+000 1.2154216e-001 1.3009715e-001 1.3709873e-001 1.3564137e-001 1.3800000e+000 1.1374289e-001 1.2199945e-001 1.2888959e-001 1.2702864e-001 1.4200000e+000 1.0617476e-001 1.1415550e-001 1.2112037e-001 1.1882872e-001 1.4599999e+000 9.8644041e-002 1.0688570e-001 1.1365313e-001 1.1101632e-001 1.5000000e+000 9.2600465e-002 9.9801550e-002 1.0660213e-001 1.0354126e-001 1.5400000e+000 8.6347930e-002 9.3243550e-002 9.9850185e-002 9.6700042e-002 1.5799999e+000 8.0636479e-002 8.7036150e-002 9.3481354e-002 9.0083979e-002 1.6199999e+000 7.4837945e-002 8.1130200e-002 8.7475278e-002 8.3936855e-002 1.6600000e+000 6.9775522e-002 7.5285250e-002 8.1719473e-002 7.8220122e-002 1.6999999e+000 6.4848199e-002 7.0018250e-002 7.6230526e-002 7.2797693e-002 1.7399999e+000 6.0073871e-002 6.4988400e-002 7.1193427e-002 6.7634985e-002 1.7800000e+000 5.5789288e-002 6.0183700e-002 6.6405386e-002 6.2951818e-002 1.8200000e+000 5.1655706e-002 5.5686850e-002 6.1902382e-002 5.8423620e-002 1.8599999e+000 4.7997639e-002 5.1345950e-002 5.7616968e-002 5.4171108e-002 1.9000000e+000 4.4436593e-002 4.7412065e-002 5.3625654e-002 5.0090842e-002 1.9400000e+000 4.1126546e-002 4.3793525e-002 4.9799219e-002 4.6293389e-002 1.9799999e+000 3.7702918e-002 4.0306610e-002 4.6265502e-002 4.2759672e-002 2.0200000e+000 3.4960777e-002 3.7036260e-002 4.2965375e-002 3.9531600e-002 2.0600000e+000 3.2513339e-002 3.3978625e-002 3.9871965e-002 3.6463793e-002 2.0999999e+000 2.9756628e-002 3.1219095e-002 3.6978830e-002 3.3607766e-002 2.1399999e+000 2.7588675e-002 2.8531670e-002 3.4213580e-002 3.0909836e-002 2.1799998e+000 2.5445886e-002 2.6077365e-002 3.1697586e-002 2.8468776e-002 2.2200000e+000 2.3243165e-002 2.3892895e-002 2.9343154e-002 2.6162388e-002 2.2600000e+000 2.1491781e-002 2.1820810e-002 2.7149051e-002 2.4034828e-002 2.3000000e+000 1.9624168e-002 1.9933120e-002 2.5050130e-002 2.2068992e-002 2.3399999e+000 1.8101601e-002 1.8262245e-002 2.3125231e-002 2.0256825e-002 2.3799999e+000 1.6585985e-002 1.6593065e-002 2.1334719e-002 1.8561972e-002 2.4199999e+000 1.5287931e-002 1.5131800e-002 1.9671362e-002 1.7052392e-002 2.4600001e+000 1.4056432e-002 1.3841650e-002 1.8141454e-002 1.5588508e-002 2.5000000e+000 1.2880233e-002 1.2574720e-002 1.6680857e-002 1.4305052e-002 2.5400000e+000 1.1704698e-002 1.1479070e-002 1.5338307e-002 1.3086510e-002 2.5799999e+000 1.0762282e-002 1.0422865e-002 1.4093518e-002 1.1961705e-002 2.6199999e+000 1.0034774e-002 9.4974650e-003 1.2933950e-002 1.0881278e-002 2.6599999e+000 9.0387138e-003 8.6081100e-003 1.1882029e-002 9.9546425e-003 2.6999998e+000 8.3489558e-003 7.8124750e-003 1.0881039e-002 9.0814810e-003 2.7400000e+000 7.7055567e-003 7.0734150e-003 9.9792611e-003 8.2730781e-003 2.7800000e+000 7.0889797e-003 6.4092800e-003 9.1400594e-003 7.5626653e-003 2.8200000e+000 6.4045191e-003 5.8173300e-003 8.3929598e-003 6.8803784e-003 2.8599999e+000 5.9727170e-003 5.3061800e-003 7.6938653e-003 6.2904786e-003 2.8999999e+000 5.4074661e-003 4.8070735e-003 7.0526460e-003 5.7527949e-003 2.9399998e+000 4.9928832e-003 4.3600385e-003 6.4554955e-003 5.2479249e-003 2.9800000e+000 4.5978366e-003 3.9569625e-003 5.9051830e-003 4.7798422e-003 3.0200000e+000 4.2206715e-003 3.5867510e-003 5.3860983e-003 4.3564783e-003 3.0600000e+000 3.8130421e-003 3.2626925e-003 4.9269032e-003 3.9639571e-003 3.0999999e+000 3.5007799e-003 2.9719125e-003 4.4714701e-003 3.6300160e-003 3.1399999e+000 3.1852063e-003 2.6875075e-003 4.0932754e-003 3.3227417e-003 3.1799998e+000 2.8742689e-003 2.4247500e-003 3.7235976e-003 3.0245322e-003 3.2199998e+000 2.6103526e-003 2.2194455e-003 3.3692904e-003 2.7663850e-003 3.2600000e+000 2.3894843e-003 2.0115325e-003 3.0550049e-003 2.5290374e-003 3.3000000e+000 2.1176208e-003 1.8261790e-003 2.7884580e-003 2.2910535e-003 3.3399999e+000 1.8950967e-003 1.6559745e-003 2.5376678e-003 2.0933338e-003 3.3799999e+000 1.7652911e-003 1.4913165e-003 2.3148954e-003 1.9054239e-003 3.4199999e+000 1.5778675e-003 1.3507490e-003 2.1059019e-003 1.7402073e-003 3.4599998e+000 1.4149481e-003 1.1957355e-003 1.9216794e-003 1.5766826e-003 3.5000000e+000 1.2361342e-003 1.0909720e-003 1.7392321e-003 1.4421996e-003 3.5400000e+000 1.1646086e-003 9.7416350e-004 1.5813535e-003 1.3084151e-003 3.5799999e+000 1.0338095e-003 8.7006250e-004 1.4336756e-003 1.1901992e-003 3.6199999e+000 9.1791159e-004 7.8409100e-004 1.3100236e-003 1.0778662e-003 3.6599999e+000 8.2254416e-004 6.9609150e-004 1.1775688e-003 9.8217279e-004 3.6999998e+000 7.5830362e-004 6.2299300e-004 1.0758914e-003 8.8823336e-004 3.7400000e+000 6.8843371e-004 5.7075600e-004 9.7662397e-004 8.1035931e-004 3.7800000e+000 6.1690813e-004 5.0034800e-004 8.9124584e-004 7.2754920e-004 3.8200000e+000 5.4438919e-004 4.4219200e-004 8.1222365e-004 6.5298128e-004 3.8599999e+000 4.9074489e-004 3.9053460e-004 7.3693600e-004 5.9387332e-004 3.8999999e+000 4.5233304e-004 3.4558275e-004 6.6787552e-004 5.3521554e-004 3.9399998e+000 4.0133795e-004 2.9802325e-004 6.1064406e-004 4.8599517e-004 3.9799998e+000 3.6292608e-004 2.7008360e-004 5.5094744e-004 4.3601418e-004 4.0200000e+000 3.0597052e-004 2.3825305e-004 4.9688009e-004 3.9554821e-004 4.0600000e+000 2.6954548e-004 2.0613270e-004 4.5522128e-004 3.5196231e-004 4.0999999e+000 2.7120116e-004 1.7513005e-004 4.0797907e-004 3.1550103e-004 4.1399999e+000 2.3113358e-004 1.5219880e-004 3.6922685e-004 2.8132150e-004 4.1799998e+000 2.2318629e-004 1.3117160e-004 3.3316971e-004 2.5105351e-004 4.2199998e+000 1.8046964e-004 1.1577375e-004 3.0083788e-004 2.2128224e-004 4.2599998e+000 1.5066731e-004 1.0099675e-004 2.7175303e-004 1.9761112e-004 4.2999997e+000 1.4073320e-004 9.0400400e-005 2.4524366e-004 1.7392449e-004 4.3399997e+000 1.1722248e-004 7.4381650e-005 2.2108908e-004 1.5851110e-004 4.3800001e+000 9.9009943e-005 6.5192600e-005 1.9939961e-004 1.3754082e-004 4.4200001e+000 1.0033450e-004 5.6831350e-005 1.7715825e-004 1.2094776e-004 4.4600001e+000 7.6161494e-005 4.9422190e-005 1.5590110e-004 1.0749014e-004 4.5000000e+000 5.9604648e-005 4.0647060e-005 1.3736663e-004 9.2045717e-005 4.5400000e+000 5.8611240e-005 3.6425065e-005 1.1836304e-004 8.3089493e-005 4.5799999e+000 5.0001676e-005 3.1706365e-005 1.0761950e-004 7.3760748e-005 4.6199999e+000 4.5365759e-005 2.6449565e-005 9.4107272e-005 6.4354390e-005 4.6599999e+000 4.2054391e-005 2.3096800e-005 8.3952407e-005 6.0085829e-005 4.6999998e+000 3.5762791e-005 2.0033785e-005 7.3622774e-005 5.2324805e-005 4.7399998e+000 2.9802328e-005 1.7301905e-005 6.4976419e-005 4.6783436e-005 4.7799998e+000 2.6822092e-005 1.6142925e-005 5.7084326e-005 4.0667750e-005 4.8199997e+000 2.1523900e-005 1.2252065e-005 5.0406394e-005 3.4024317e-005 4.8599997e+000 1.6225709e-005 1.0720560e-005 4.5190987e-005 3.0950952e-005 4.9000001e+000 1.2914340e-005 9.0648750e-006 3.8329097e-005 2.7675802e-005 4.9400001e+000 9.9341087e-006 7.3264050e-006 3.4088705e-005 2.3748726e-005 4.9800000e+000 9.6029708e-006 5.9604650e-006 2.9783925e-005 2.1404898e-005 5.0200000e+000 7.6161500e-006 5.7948950e-006 2.6242600e-005 1.9200766e-005 5.0600000e+000 5.2981909e-006 4.0978200e-006 2.1707863e-005 1.6329188e-005 5.0999999e+000 4.6359169e-006 4.4703490e-006 1.8736830e-005 1.4295802e-005 5.1399999e+000 1.9868216e-006 3.2699770e-006 1.7035154e-005 1.3240303e-005 5.1799998e+000 3.6425063e-006 3.4355460e-006 1.4735593e-005 1.1237959e-005 5.2199998e+000 1.3245477e-006 2.5249190e-006 1.2886744e-005 9.6236663e-006 5.2599998e+000 2.3179584e-006 1.9868220e-006 1.1902533e-005 8.5992115e-006 5.2999997e+000 1.3245477e-006 1.9040375e-006 1.0798742e-005 7.1401396e-006 5.3399997e+000 1.6556847e-006 1.4487240e-006 9.3454191e-006 6.3485154e-006 5.3799997e+000 6.6227386e-007 1.7798610e-006 7.5609592e-006 5.8673322e-006 5.4200001e+000 3.3113693e-007 1.1589790e-006 6.6871262e-006 5.2774944e-006 5.4600001e+000 4.9999999e-015 7.8645000e-007 5.0130448e-006 4.2685615e-006 5.5000000e+000 4.9999999e-015 9.5201900e-007 3.6333079e-006 3.9581209e-006 5.5400000e+000 4.9999999e-015 5.7948950e-007 2.6950866e-006 3.4769375e-006 5.5799999e+000 4.9999999e-015 6.2088200e-007 1.8764425e-006 2.9181440e-006 5.6199999e+000 4.9999999e-015 4.9670540e-007 1.5729003e-006 2.7163576e-006 5.6599999e+000 4.9999999e-015 1.6556845e-007 1.2601599e-006 2.3748726e-006 5.6999998e+000 4.9999999e-015 2.0696060e-007 9.7501436e-007 2.1265198e-006 5.7399998e+000 4.9999999e-015 4.1392125e-008 7.2666154e-007 1.6142925e-006 5.7799998e+000 4.9999999e-015 1.6556845e-007 5.5189486e-007 1.5677264e-006 5.8199997e+000 4.9999999e-015 1.2417635e-007 3.6792991e-007 1.4745941e-006 5.8599997e+000 4.9999999e-015 1.2417635e-007 1.7476670e-007 1.3193736e-006 5.8999996e+000 4.9999999e-015 5.0000000e-015 4.5991236e-008 8.2266826e-007 5.9400001e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 8.0714625e-007 5.9800000e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 4.9670535e-007 6.0200000e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 3.7252903e-007 6.0600000e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 2.1730860e-007 6.0999999e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 1.8626451e-007 6.1399999e+000 4.9999999e-015 5.0000000e-015 4.9999999e-015 1.2417634e-007