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 at various separations = dx. Only positive part is included, using the symmetry of the pdf. Re_lambda=142. Field filtered with the Gaussian filter with transfer function F = exp(-k^2 H^2), H=16*eta eta: Kolmogorov scale (Batchelor 1953). L: integral scale (Batchelor 1953). u': one-component rms velocity du : velocity difference at centre of the histogram box pdfs ____________________________________________________________________________ du/u' dx/L =4/3 dx/L=4/6 dx/L=4/9 dx/L=4/12 dx/L=4/15 2.0000000e-002 3.5465760e-001 4.9640905e-001 6.5352400e-001 8.2098050e-001 9.9187850e-001 6.0000000e-002 3.5528245e-001 4.9539790e-001 6.4996150e-001 8.1247900e-001 9.7516600e-001 1.0000000e-001 3.5549985e-001 4.9215425e-001 6.4232200e-001 7.9521550e-001 9.4983800e-001 1.4000000e-001 3.5448765e-001 4.8519685e-001 6.3064400e-001 7.7206900e-001 9.0673500e-001 1.8000000e-001 3.5231080e-001 4.7699265e-001 6.1483850e-001 7.4098850e-001 8.5490600e-001 2.2000000e-001 3.5035885e-001 4.6933690e-001 5.9510050e-001 7.0521950e-001 7.9954400e-001 2.6000000e-001 3.4836970e-001 4.6144755e-001 5.7189800e-001 6.6785400e-001 7.4376700e-001 3.0000000e-001 3.4491930e-001 4.5135130e-001 5.4912700e-001 6.3094350e-001 6.8769700e-001 3.4000000e-001 3.4053125e-001 4.3949685e-001 5.2665450e-001 5.9121600e-001 6.3240700e-001 3.8000000e-001 3.3617660e-001 4.2576005e-001 5.0375850e-001 5.5183750e-001 5.7423800e-001 4.2000000e-001 3.3050930e-001 4.1175680e-001 4.7799560e-001 5.1436550e-001 5.1859450e-001 4.6000000e-001 3.2430815e-001 3.9759310e-001 4.5160895e-001 4.7529780e-001 4.6876455e-001 5.0000000e-001 3.1889190e-001 3.8315520e-001 4.2599540e-001 4.3780435e-001 4.2366840e-001 5.4000000e-001 3.1309900e-001 3.6824585e-001 4.0188370e-001 4.0176975e-001 3.8172065e-001 5.8000000e-001 3.0665205e-001 3.5387565e-001 3.7801895e-001 3.6970465e-001 3.4143935e-001 6.2000000e-001 3.0041115e-001 3.3951580e-001 3.5483645e-001 3.3975610e-001 3.0463160e-001 6.6000000e-001 2.9427610e-001 3.2536920e-001 3.3215920e-001 3.1106450e-001 2.7009550e-001 7.0000000e-001 2.8831160e-001 3.1148930e-001 3.1099915e-001 2.8409810e-001 2.3739955e-001 7.4000000e-001 2.8193930e-001 2.9792125e-001 2.9092385e-001 2.5944985e-001 2.0865335e-001 7.8000000e-001 2.7509545e-001 2.8496755e-001 2.7137200e-001 2.3460385e-001 1.8216210e-001 8.2000000e-001 2.6778630e-001 2.7309255e-001 2.5291350e-001 2.1148625e-001 1.5863640e-001 8.6000000e-001 2.6072180e-001 2.6093460e-001 2.3537220e-001 1.9040200e-001 1.3810305e-001 9.0000000e-001 2.5358020e-001 2.4818465e-001 2.1873900e-001 1.7081585e-001 1.1889180e-001 9.4000000e-001 2.4640450e-001 2.3612905e-001 2.0264335e-001 1.5242955e-001 1.0139815e-001 9.8000000e-001 2.3919235e-001 2.2381195e-001 1.8728205e-001 1.3613970e-001 8.6887550e-002 1.0200000e+000 2.3223745e-001 2.1160615e-001 1.7289340e-001 1.2084015e-001 7.4396100e-002 1.0600000e+000 2.2514190e-001 2.0029145e-001 1.5907050e-001 1.0722890e-001 6.3272600e-002 1.1000000e+000 2.1762385e-001 1.8946305e-001 1.4622355e-001 9.4203700e-002 5.3651800e-002 1.1400000e+000 2.0952400e-001 1.7963310e-001 1.3362445e-001 8.2631150e-002 4.5081715e-002 1.1800000e+000 2.0190660e-001 1.7053600e-001 1.2209490e-001 7.2509900e-002 3.7148695e-002 1.2200000e+000 1.9405545e-001 1.6143915e-001 1.1137655e-001 6.3487600e-002 3.0652030e-002 1.2600000e+000 1.8636010e-001 1.5211180e-001 1.0094030e-001 5.5610000e-002 2.5465585e-002 1.3000000e+000 1.7909080e-001 1.4324635e-001 9.0982950e-002 4.8535185e-002 2.1139095e-002 1.3400000e+000 1.7229690e-001 1.3466730e-001 8.2691800e-002 4.2127075e-002 1.7733010e-002 1.3800000e+000 1.6569290e-001 1.2628535e-001 7.4435800e-002 3.6213865e-002 1.4631945e-002 1.4200000e+000 1.5908180e-001 1.1835880e-001 6.7069500e-002 3.0912315e-002 1.2057000e-002 1.4600000e+000 1.5234835e-001 1.1050350e-001 6.0043400e-002 2.6443405e-002 9.8267350e-003 1.5000000e+000 1.4593505e-001 1.0292600e-001 5.3749750e-002 2.2544220e-002 8.0151450e-003 1.5400000e+000 1.3962575e-001 9.5559550e-002 4.8384855e-002 1.9263180e-002 6.3903550e-003 1.5800000e+000 1.3305540e-001 8.8917850e-002 4.3184850e-002 1.6568765e-002 4.9504105e-003 1.6200000e+000 1.2688145e-001 8.2469100e-002 3.8102610e-002 1.4163815e-002 3.8865415e-003 1.6600000e+000 1.2069300e-001 7.5731700e-002 3.3687810e-002 1.2064850e-002 3.0858405e-003 1.7000000e+000 1.1449460e-001 7.0046500e-002 2.9975860e-002 1.0215695e-002 2.4157910e-003 1.7400000e+000 1.0831450e-001 6.4659250e-002 2.6712485e-002 8.5078400e-003 1.9790215e-003 1.7800000e+000 1.0223960e-001 5.9694700e-002 2.3663310e-002 7.0352350e-003 1.5663755e-003 1.8200000e+000 9.6390200e-002 5.4934400e-002 2.0901950e-002 5.7709550e-003 1.2532060e-003 1.8600000e+000 9.0567550e-002 4.9997170e-002 1.8429460e-002 4.5954565e-003 9.5167500e-004 1.9000000e+000 8.5199050e-002 4.5613950e-002 1.6279035e-002 3.6847685e-003 7.4763350e-004 1.9400000e+000 8.0622750e-002 4.1897025e-002 1.4156680e-002 2.9607320e-003 5.8953400e-004 1.9800000e+000 7.6115850e-002 3.8488400e-002 1.2087725e-002 2.4328260e-003 4.2249390e-004 2.0200000e+000 7.1737600e-002 3.4749260e-002 1.0345515e-002 2.0751125e-003 2.4207335e-004 2.0600000e+000 6.7693500e-002 3.1393975e-002 8.9328350e-003 1.7705770e-003 1.8024885e-004 2.1000000e+000 6.4103350e-002 2.8438505e-002 7.7649500e-003 1.5059985e-003 1.6318920e-004 2.1400000e+000 6.0642700e-002 2.5862675e-002 6.6165700e-003 1.2293150e-003 1.4010770e-004 2.1800000e+000 5.7125800e-002 2.3513455e-002 5.5331000e-003 9.8884850e-004 1.0987615e-004 2.2200000e+000 5.3668100e-002 2.1252845e-002 4.5584550e-003 7.9335500e-004 9.7599550e-005 2.2600000e+000 5.0326350e-002 1.9000290e-002 3.7508245e-003 6.4130200e-004 8.7812600e-005 2.3000000e+000 4.7145815e-002 1.6905385e-002 3.1122945e-003 5.0724050e-004 8.1263450e-005 2.3400000e+000 4.4035405e-002 1.5000365e-002 2.6293620e-003 4.0057755e-004 7.3880350e-005 2.3800000e+000 4.0973170e-002 1.3271880e-002 2.2194515e-003 2.6838035e-004 6.6435850e-005 2.4200000e+000 3.8220410e-002 1.1510125e-002 1.9084155e-003 1.7466855e-004 5.8574450e-005 2.4600000e+000 3.5874945e-002 9.9581100e-003 1.6602345e-003 1.3491990e-004 5.0786600e-005 2.5000000e+000 3.3753660e-002 8.7196450e-003 1.4921520e-003 1.0482325e-004 4.2520435e-005 2.5400000e+000 3.1497315e-002 7.6584850e-003 1.3369470e-003 9.9978800e-005 3.4659000e-005 2.5800000e+000 2.9111445e-002 6.6926700e-003 1.1859975e-003 9.4533450e-005 2.5006970e-005 2.6200000e+000 2.6530800e-002 5.9452800e-003 9.8843150e-004 8.7530550e-005 1.2485090e-005 2.6600000e+000 2.4139305e-002 5.1943250e-003 8.4163950e-004 8.2281400e-005 5.0000000e-015 2.7000000e+000 2.2022150e-002 4.5933465e-003 6.9289800e-004 7.7351150e-005 5.0000000e-015 2.7400000e+000 2.0035855e-002 3.9683080e-003 5.6656300e-004 6.9759500e-005 5.0000000e-015 2.7800000e+000 1.8102530e-002 3.3482355e-003 4.3717430e-004 6.4547150e-005 5.0000000e-015 2.8200000e+000 1.6360275e-002 2.8013075e-003 3.5072305e-004 5.9457450e-005 5.0000000e-015 2.8600000e+000 1.4639025e-002 2.3606505e-003 2.7556720e-004 5.2601700e-005 5.0000000e-015 2.9000000e+000 1.3296925e-002 2.1286955e-003 1.8066585e-004 4.6714835e-005 5.0000000e-015 2.9400000e+000 1.2137760e-002 1.9350415e-003 1.5180785e-004 4.0312855e-005 5.0000000e-015 2.9800000e+000 1.1001780e-002 1.7449690e-003 1.3088495e-004 3.3690115e-005 5.0000000e-015 3.0200000e+000 9.8042800e-003 1.5680560e-003 1.0148735e-004 2.7128700e-005 5.0000000e-015 3.0600000e+000 8.5451850e-003 1.4252255e-003 9.5158950e-005 1.9107825e-005 5.0000000e-015 3.1000000e+000 7.5395700e-003 1.2846270e-003 8.9063550e-005 6.6963250e-006 5.0000000e-015 3.1400000e+000 6.6436000e-003 1.1555450e-003 8.4305000e-005 5.0000000e-015 5.0000000e-015 3.1800000e+000 5.8799600e-003 1.0503540e-003 7.9791750e-005 5.0000000e-015 5.0000000e-015 3.2200000e+000 5.2052150e-003 9.7681700e-004 7.5401100e-005 5.0000000e-015 5.0000000e-015 3.2600000e+000 4.6075980e-003 8.7214100e-004 6.9612350e-005 5.0000000e-015 5.0000000e-015 3.3000000e+000 4.0557530e-003 7.8530950e-004 6.5233950e-005 5.0000000e-015 5.0000000e-015 3.3400000e+000 3.5946505e-003 6.8958650e-004 5.9261250e-005 5.0000000e-015 5.0000000e-015 3.3800000e+000 3.2341775e-003 5.9917400e-004 5.4527200e-005 5.0000000e-015 5.0000000e-015 3.4200000e+000 2.9090745e-003 5.1088300e-004 5.0271500e-005 5.0000000e-015 5.0000000e-015 3.4600000e+000 2.6397375e-003 3.8735660e-004 4.4482725e-005 5.0000000e-015 5.0000000e-015 3.5000000e+000 2.4306675e-003 3.0547995e-004 3.8632640e-005 5.0000000e-015 5.0000000e-015 3.5400000e+000 2.1611955e-003 2.5508580e-004 3.3408035e-005 5.0000000e-015 5.0000000e-015 3.5800000e+000 1.9079860e-003 1.9772555e-004 2.7484360e-005 5.0000000e-015 5.0000000e-015 3.6200000e+000 1.7128365e-003 1.7942715e-004 2.0775775e-005 5.0000000e-015 5.0000000e-015 3.6600000e+000 1.5378245e-003 1.6418260e-004 1.2239800e-005 5.0000000e-015 5.0000000e-015 3.7000000e+000 1.3850720e-003 1.4989465e-004 5.7642350e-007 5.0000000e-015 5.0000000e-015 3.7400000e+000 1.2462155e-003 1.3467460e-004 5.0000000e-015 5.0000000e-015 5.0000000e-015 3.7800000e+000 1.1069170e-003 1.1886590e-004 5.0000000e-015 5.0000000e-015 5.0000000e-015 3.8200000e+000 9.6022350e-004 9.8470300e-005 5.0000000e-015 5.0000000e-015 5.0000000e-015 3.8600000e+000 8.4894900e-004 7.9546450e-005 5.0000000e-015 5.0000000e-015 5.0000000e-015 3.9000000e+000 7.3367700e-004 7.3107650e-005 5.0000000e-015 5.0000000e-015 5.0000000e-015 3.9400000e+000 6.5532000e-004 6.6288700e-005 5.0000000e-015 5.0000000e-015 5.0000000e-015 3.9800000e+000 6.0537950e-004 5.9580100e-005 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.0200000e+000 5.5171100e-004 5.2883800e-005 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.0600000e+000 4.8819395e-004 4.6077085e-005 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.1000000e+000 4.4591880e-004 3.9515670e-005 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.1400000e+000 4.1473060e-004 3.1519330e-005 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.1800000e+000 3.8929435e-004 2.2664480e-005 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.2200000e+000 3.6147890e-004 8.3765350e-006 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.2600000e+000 3.3048690e-004 5.0000000e-015 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.3000000e+000 3.0146950e-004 5.0000000e-015 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.3400000e+000 2.6300855e-004 5.0000000e-015 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.3800000e+000 2.1726260e-004 5.0000000e-015 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.4200000e+000 1.8463950e-004 5.0000000e-015 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.4600000e+000 1.5960800e-004 5.0000000e-015 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.5000000e+000 1.3808410e-004 5.0000000e-015 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.5400000e+000 1.1476960e-004 5.0000000e-015 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.5800000e+000 7.8234150e-005 5.0000000e-015 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.6200000e+000 4.7610125e-005 5.0000000e-015 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.6600000e+000 3.5382595e-005 5.0000000e-015 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.7000000e+000 3.0157990e-005 5.0000000e-015 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.7400000e+000 2.5399430e-005 5.0000000e-015 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.7800000e+000 1.8715365e-005 5.0000000e-015 5.0000000e-015 5.0000000e-015 5.0000000e-015 4.8200000e+000 8.6708800e-006 5.0000000e-015 5.0000000e-015 5.0000000e-015 5.0000000e-015