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 at various separations = dx. Re_lambda=142. Field filtered with the Gaussian filter with transfer function F = exp(-k^2 H^2), H=8*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 -3.9400000e+000 1.6973830e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.9000000e+000 4.5034620e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.8600000e+000 6.8385900e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.8200000e+000 1.0051850e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.7800000e+000 1.4089260e-004 8.0454000e-006 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.7400000e+000 1.8494610e-004 1.4619080e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.7000000e+000 2.3935070e-004 2.0456900e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.6600000e+000 2.9557040e-004 2.4921120e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.6200000e+000 3.4482390e-004 2.9238160e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.5800000e+000 4.2390430e-004 3.4634470e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.5400000e+000 5.1397360e-004 3.9932660e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.5000000e+000 6.2827710e-004 4.7438430e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.4600000e+000 7.2845210e-004 5.7642350e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.4200000e+000 8.3112910e-004 7.3684100e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.3800000e+000 9.6996130e-004 9.7280670e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.3400000e+000 1.1347940e-003 1.2298670e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.3000000e+000 1.3939150e-003 1.6370430e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.2600000e+000 1.6862960e-003 2.2855800e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.2200000e+000 1.9607720e-003 3.0768750e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.1800000e+000 2.2741990e-003 3.8151880e-004 2.9924970e-006 1.0000000e-014 1.0000000e-014 -3.1400000e+000 2.5980270e-003 4.8689390e-004 1.0939780e-005 1.0000000e-014 1.0000000e-014 -3.1000000e+000 2.9560470e-003 6.6521720e-004 3.2426890e-005 1.0000000e-014 1.0000000e-014 -3.0600000e+000 3.5208440e-003 8.0478530e-004 6.4755670e-005 1.0000000e-014 1.0000000e-014 -3.0200000e+000 4.1266040e-003 9.7947850e-004 1.0851480e-004 1.0000000e-014 1.0000000e-014 -2.9800000e+000 4.7740620e-003 1.1650130e-003 1.5909290e-004 2.6981520e-006 1.0000000e-014 -2.9400000e+000 5.4289770e-003 1.3844470e-003 1.9853500e-004 8.6831450e-006 1.0000000e-014 -2.9000000e+000 6.1499720e-003 1.7338820e-003 2.3738840e-004 1.2117160e-005 1.0000000e-014 -2.8600000e+000 7.0592500e-003 2.1396840e-003 2.7055110e-004 1.7170060e-005 1.0000000e-014 -2.8200000e+000 8.1201150e-003 2.5918940e-003 3.0067230e-004 2.5313580e-005 1.0000000e-014 -2.7800000e+000 9.2601090e-003 3.0989510e-003 3.7734890e-004 4.2483640e-005 1.0000000e-014 -2.7400000e+000 1.0517840e-002 3.6443700e-003 4.7732770e-004 6.7355700e-005 1.0000000e-014 -2.7000000e+000 1.1974990e-002 4.2823120e-003 6.5761340e-004 8.3740850e-005 1.4717200e-007 -2.6600000e+000 1.3533100e-002 4.8293010e-003 8.3142350e-004 1.1415640e-004 1.0252980e-005 -2.6200000e+000 1.5022530e-002 5.5276810e-003 1.0518870e-003 1.4893800e-004 1.8249320e-005 -2.5800000e+000 1.6630090e-002 6.2955260e-003 1.3368120e-003 1.9377640e-004 2.5853210e-005 -2.5400000e+000 1.8419750e-002 7.1308740e-003 1.6955190e-003 2.6520390e-004 2.8502300e-005 -2.5000000e+000 2.0232560e-002 8.0243060e-003 2.0649210e-003 3.3859360e-004 3.6694880e-005 -2.4600000e+000 2.2270010e-002 9.1522330e-003 2.4322620e-003 4.2248160e-004 5.5140430e-005 -2.4200000e+000 2.4431030e-002 1.0520490e-002 2.8545470e-003 5.4517390e-004 7.8001140e-005 -2.3800000e+000 2.6679280e-002 1.1927500e-002 3.5215800e-003 6.9175730e-004 9.6299520e-005 -2.3400000e+000 2.9235710e-002 1.3551250e-002 4.2177030e-003 8.7856760e-004 1.2862830e-004 -2.3000000e+000 3.1886770e-002 1.5283270e-002 4.9002860e-003 1.0979030e-003 1.8514230e-004 -2.2600000e+000 3.4998280e-002 1.7073320e-002 5.9047840e-003 1.3890090e-003 2.4244130e-004 -2.2200000e+000 3.8241460e-002 1.9182980e-002 6.9921890e-003 1.8097250e-003 3.1494800e-004 -2.1800000e+000 4.1806110e-002 2.1456940e-002 8.1269340e-003 2.2510440e-003 4.2596470e-004 -2.1400000e+000 4.5436790e-002 2.3776560e-002 9.4382850e-003 2.7942070e-003 5.7701230e-004 -2.1000000e+000 4.9434620e-002 2.6212400e-002 1.0871690e-002 3.4470620e-003 7.5111660e-004 -2.0600000e+000 5.3957700e-002 2.8959910e-002 1.2409880e-002 4.1589320e-003 9.9944470e-004 -2.0200000e+000 5.8503260e-002 3.2177630e-002 1.4079650e-002 4.9717140e-003 1.3049740e-003 -1.9800000e+000 6.3355660e-002 3.5390390e-002 1.5906880e-002 5.8521950e-003 1.6960590e-003 -1.9400000e+000 6.8282450e-002 3.8562240e-002 1.7991970e-002 7.0140680e-003 2.2589920e-003 -1.9000000e+000 7.3273390e-002 4.2004250e-002 2.0482070e-002 8.4450220e-003 2.8597970e-003 -1.8600000e+000 7.8398410e-002 4.5746880e-002 2.3163830e-002 9.9197820e-003 3.6208230e-003 -1.8200000e+000 8.3657740e-002 5.0053380e-002 2.6038500e-002 1.1539410e-002 4.4368910e-003 -1.7800000e+000 8.9215930e-002 5.4259510e-002 2.9281280e-002 1.3500970e-002 5.3098180e-003 -1.7400000e+000 9.5315090e-002 5.8744960e-002 3.2959060e-002 1.5702320e-002 6.2815940e-003 -1.7000000e+000 1.0179000e-001 6.3915660e-002 3.6980980e-002 1.8083660e-002 7.4270330e-003 -1.6600000e+000 1.0821030e-001 6.9196920e-002 4.1315190e-002 2.0804230e-002 8.8719670e-003 -1.6200000e+000 1.1499260e-001 7.5095180e-002 4.5740900e-002 2.3655680e-002 1.0775150e-002 -1.5800000e+000 1.2194010e-001 8.1634570e-002 5.0813080e-002 2.6800550e-002 1.2853560e-002 -1.5400000e+000 1.2914810e-001 8.7744750e-002 5.6267030e-002 3.0679370e-002 1.5326190e-002 -1.5000000e+000 1.3656530e-001 9.4374750e-002 6.2016590e-002 3.5147800e-002 1.8193640e-002 -1.4600000e+000 1.4400760e-001 1.0162340e-001 6.8133700e-002 4.0224790e-002 2.1284890e-002 -1.4200000e+000 1.5216480e-001 1.0937570e-001 7.4914840e-002 4.5508810e-002 2.4940400e-002 -1.3800000e+000 1.6062530e-001 1.1745050e-001 8.1855920e-002 5.1710340e-002 2.9272060e-002 -1.3400000e+000 1.6927660e-001 1.2641620e-001 8.9605100e-002 5.8341030e-002 3.3896990e-002 -1.3000000e+000 1.7832930e-001 1.3597480e-001 9.7791550e-002 6.5880350e-002 3.9492810e-002 -1.2600000e+000 1.8731260e-001 1.4618270e-001 1.0689960e-001 7.4439040e-002 4.5993690e-002 -1.2200000e+000 1.9548890e-001 1.5684980e-001 1.1666420e-001 8.3303210e-002 5.3074910e-002 -1.1800000e+000 2.0381170e-001 1.6789500e-001 1.2706210e-001 9.3116190e-002 6.1384640e-002 -1.1400000e+000 2.1213490e-001 1.7921860e-001 1.3816620e-001 1.0318720e-001 7.0789610e-002 -1.1000000e+000 2.2104210e-001 1.9052550e-001 1.5030780e-001 1.1437580e-001 8.0988970e-002 -1.0600000e+000 2.2941830e-001 2.0252800e-001 1.6324320e-001 1.2666360e-001 9.2543510e-002 -1.0200000e+000 2.3694270e-001 2.1491340e-001 1.7688830e-001 1.3994710e-001 1.0514960e-001 -9.8000000e-001 2.4419650e-001 2.2712930e-001 1.9143170e-001 1.5392210e-001 1.1854550e-001 -9.4000000e-001 2.5165360e-001 2.3908140e-001 2.0678290e-001 1.6931330e-001 1.3365210e-001 -9.0000000e-001 2.5910510e-001 2.5150070e-001 2.2251890e-001 1.8662880e-001 1.5004800e-001 -8.6000000e-001 2.6656090e-001 2.6387190e-001 2.3804990e-001 2.0526710e-001 1.6826660e-001 -8.2000000e-001 2.7429990e-001 2.7595620e-001 2.5453960e-001 2.2458290e-001 1.8786220e-001 -7.8000000e-001 2.8214100e-001 2.8789900e-001 2.7197810e-001 2.4509240e-001 2.0975050e-001 -7.4000000e-001 2.9015840e-001 3.0010560e-001 2.8945310e-001 2.6677300e-001 2.3452780e-001 -7.0000000e-001 2.9718020e-001 3.1222880e-001 3.0694530e-001 2.8934620e-001 2.6087660e-001 -6.6000000e-001 3.0475160e-001 3.2400710e-001 3.2518120e-001 3.1290090e-001 2.8867280e-001 -6.2000000e-001 3.1217230e-001 3.3540080e-001 3.4401430e-001 3.3698270e-001 3.1838710e-001 -5.8000000e-001 3.1888770e-001 3.4635870e-001 3.6245640e-001 3.6248240e-001 3.4887640e-001 -5.4000000e-001 3.2567710e-001 3.5739540e-001 3.8048790e-001 3.8893730e-001 3.8076960e-001 -5.0000000e-001 3.3226890e-001 3.6810480e-001 3.9926580e-001 4.1475560e-001 4.1493880e-001 -4.6000000e-001 3.3794320e-001 3.7893080e-001 4.1833840e-001 4.4093960e-001 4.5037400e-001 -4.2000000e-001 3.4265690e-001 3.8992520e-001 4.3571500e-001 4.6792950e-001 4.8634510e-001 -3.8000000e-001 3.4659140e-001 4.0082340e-001 4.5398370e-001 4.9471690e-001 5.2404590e-001 -3.4000000e-001 3.5086290e-001 4.1022110e-001 4.7285830e-001 5.2322440e-001 5.6313950e-001 -3.0000000e-001 3.5543120e-001 4.1958240e-001 4.9151320e-001 5.5223310e-001 6.0288950e-001 -2.6000000e-001 3.6042860e-001 4.2855110e-001 5.0959180e-001 5.7965440e-001 6.4263100e-001 -2.2000000e-001 3.6496760e-001 4.3851040e-001 5.2625580e-001 6.0818960e-001 6.8230060e-001 -1.8000000e-001 3.6935230e-001 4.4726260e-001 5.4234190e-001 6.3445040e-001 7.1872260e-001 -1.4000000e-001 3.7432750e-001 4.5525320e-001 5.5658340e-001 6.5816430e-001 7.5358840e-001 -1.0000000e-001 3.7887150e-001 4.6286740e-001 5.7007600e-001 6.7951430e-001 7.8520270e-001 -6.0000000e-002 3.8257770e-001 4.6948850e-001 5.8265670e-001 6.9770270e-001 8.1410620e-001 -2.0000000e-002 3.8477640e-001 4.7488980e-001 5.9374700e-001 7.1365100e-001 8.3594200e-001 2.0000000e-002 3.8642640e-001 4.7964030e-001 6.0223480e-001 7.2584750e-001 8.5191010e-001 6.0000000e-002 3.8667250e-001 4.8345470e-001 6.0935410e-001 7.3338390e-001 8.6174650e-001 1.0000000e-001 3.8537760e-001 4.8668300e-001 6.1286160e-001 7.3663710e-001 8.6277130e-001 1.4000000e-001 3.8414350e-001 4.8983300e-001 6.1329970e-001 7.3526070e-001 8.5497180e-001 1.8000000e-001 3.8316770e-001 4.9166150e-001 6.1126930e-001 7.2810980e-001 8.4132560e-001 2.2000000e-001 3.8153530e-001 4.9172650e-001 6.0578520e-001 7.1618940e-001 8.2233880e-001 2.6000000e-001 3.7890640e-001 4.8888930e-001 5.9873040e-001 6.9934910e-001 7.9507770e-001 3.0000000e-001 3.7476750e-001 4.8466640e-001 5.8924920e-001 6.8043480e-001 7.6325650e-001 3.4000000e-001 3.7152430e-001 4.7842300e-001 5.7660440e-001 6.5827780e-001 7.2584800e-001 3.8000000e-001 3.6893790e-001 4.7102910e-001 5.6141950e-001 6.3237970e-001 6.8307500e-001 4.2000000e-001 3.6543660e-001 4.6286060e-001 5.4396210e-001 6.0240080e-001 6.3704510e-001 4.6000000e-001 3.5995340e-001 4.5329770e-001 5.2528950e-001 5.6962190e-001 5.8646450e-001 5.0000000e-001 3.5437100e-001 4.4244020e-001 5.0440260e-001 5.3513220e-001 5.3276410e-001 5.4000000e-001 3.4855460e-001 4.3012810e-001 4.8069490e-001 4.9886900e-001 4.7866890e-001 5.8000000e-001 3.4285220e-001 4.1648900e-001 4.5644110e-001 4.6133350e-001 4.2508470e-001 6.2000000e-001 3.3606180e-001 4.0331240e-001 4.3124640e-001 4.2125560e-001 3.7386300e-001 6.6000000e-001 3.2859530e-001 3.8869190e-001 4.0568090e-001 3.8078710e-001 3.2729820e-001 7.0000000e-001 3.2080730e-001 3.7306420e-001 3.7909450e-001 3.4301670e-001 2.8374960e-001 7.4000000e-001 3.1267490e-001 3.5750150e-001 3.5190380e-001 3.0760880e-001 2.4469390e-001 7.8000000e-001 3.0549680e-001 3.4184160e-001 3.2541970e-001 2.7405510e-001 2.1068140e-001 8.2000000e-001 2.9789360e-001 3.2588650e-001 2.9988740e-001 2.4298960e-001 1.7923710e-001 8.6000000e-001 2.9018460e-001 3.0908640e-001 2.7545940e-001 2.1354970e-001 1.5259770e-001 9.0000000e-001 2.8179050e-001 2.9217910e-001 2.5069760e-001 1.8637330e-001 1.2787720e-001 9.4000000e-001 2.7263270e-001 2.7599030e-001 2.2725490e-001 1.6247160e-001 1.0652710e-001 9.8000000e-001 2.6293600e-001 2.5983980e-001 2.0482030e-001 1.4142200e-001 8.7853170e-002 1.0200000e+000 2.5313310e-001 2.4328110e-001 1.8348050e-001 1.2322730e-001 7.1952070e-002 1.0600000e+000 2.4312830e-001 2.2623670e-001 1.6328540e-001 1.0659300e-001 5.8557470e-002 1.1000000e+000 2.3326850e-001 2.0951050e-001 1.4540630e-001 9.0703360e-002 4.7431320e-002 1.1400000e+000 2.2352250e-001 1.9317530e-001 1.2902950e-001 7.6541540e-002 3.7950690e-002 1.1800000e+000 2.1319400e-001 1.7778290e-001 1.1393840e-001 6.4371540e-002 3.0558100e-002 1.2200000e+000 2.0343930e-001 1.6252750e-001 1.0033380e-001 5.4039140e-002 2.4214400e-002 1.2600000e+000 1.9326710e-001 1.4816150e-001 8.8237290e-002 4.5291430e-002 1.8769330e-002 1.3000000e+000 1.8312550e-001 1.3474150e-001 7.7388410e-002 3.7896040e-002 1.4235450e-002 1.3400000e+000 1.7355310e-001 1.2258870e-001 6.8138700e-002 3.1542870e-002 1.0792410e-002 1.3800000e+000 1.6401940e-001 1.1123650e-001 5.9254270e-002 2.6055520e-002 8.0771890e-003 1.4200000e+000 1.5490840e-001 1.0082780e-001 5.1184250e-002 2.1360490e-002 5.9840120e-003 1.4600000e+000 1.4622070e-001 9.0779740e-002 4.4370240e-002 1.7426240e-002 4.4338990e-003 1.5000000e+000 1.3810160e-001 8.1308830e-002 3.7961290e-002 1.3746250e-002 3.2015790e-003 1.5400000e+000 1.3086670e-001 7.2846880e-002 3.2525250e-002 1.0883810e-002 2.3840880e-003 1.5800000e+000 1.2359350e-001 6.5218920e-002 2.7871080e-002 8.5822350e-003 1.7271610e-003 1.6200000e+000 1.1671010e-001 5.8068320e-002 2.4129230e-002 6.6655160e-003 1.2900600e-003 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