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=4*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 -4.7400000e+000 1.0000000e-014 8.8303180e-007 1.0000000e-014 1.0000000e-014 1.0000000e-014 -4.7000000e+000 9.8114640e-007 3.4340130e-006 1.0000000e-014 1.0000000e-014 1.0000000e-014 -4.6600000e+000 4.4642160e-006 4.8076180e-006 1.0000000e-014 1.0000000e-014 1.0000000e-014 -4.6200000e+000 6.4755660e-006 6.7208530e-006 1.0000000e-014 1.0000000e-014 1.0000000e-014 -4.5800000e+000 8.5359740e-006 7.1623690e-006 1.0000000e-014 1.0000000e-014 1.0000000e-014 -4.5400000e+000 1.2362440e-005 8.4378590e-006 1.0000000e-014 1.0000000e-014 1.0000000e-014 -4.5000000e+000 1.5894570e-005 1.0449210e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 -4.4600000e+000 1.8887070e-005 1.1234130e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 -4.4200000e+000 2.2566370e-005 1.3098310e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 -4.3800000e+000 3.9932660e-005 1.4275680e-005 5.8868780e-007 1.0000000e-014 1.0000000e-014 -4.3400000e+000 5.4404570e-005 1.5600230e-005 1.8151210e-006 1.0000000e-014 1.0000000e-014 -4.3000000e+000 7.1967090e-005 1.8838010e-005 2.4038090e-006 1.0000000e-014 1.0000000e-014 -4.2600000e+000 1.0375620e-004 2.0898420e-005 5.2981900e-006 1.0000000e-014 1.0000000e-014 -4.2200000e+000 1.2843210e-004 2.4970180e-005 8.5359730e-006 1.0000000e-014 1.0000000e-014 -4.1800000e+000 1.6188920e-004 2.7864560e-005 1.0890730e-005 1.0000000e-014 1.0000000e-014 -4.1400000e+000 2.0967100e-004 3.0415540e-005 1.2019040e-005 1.0000000e-014 1.0000000e-014 -4.1000000e+000 2.4916210e-004 3.4879750e-005 1.3834160e-005 1.0000000e-014 1.0000000e-014 -4.0600000e+000 2.9316650e-004 4.0374170e-005 1.7562520e-005 1.0000000e-014 1.0000000e-014 -4.0200000e+000 3.3672950e-004 5.0479980e-005 2.0113500e-005 1.0000000e-014 1.0000000e-014 -3.9800000e+000 4.1242490e-004 6.3038660e-005 2.6049440e-005 1.6188920e-006 1.0000000e-014 -3.9400000e+000 4.9906010e-004 8.1189870e-005 3.2377830e-005 3.0906110e-006 1.0000000e-014 -3.9000000e+000 5.9261240e-004 1.1297900e-004 3.6204300e-005 6.8189670e-006 1.0302040e-006 -3.8600000e+000 6.8984400e-004 1.4756440e-004 4.3023270e-005 1.0056750e-005 2.4528660e-006 -3.8200000e+000 8.0718910e-004 1.9598400e-004 4.5721420e-005 1.4570020e-005 3.5811850e-006 -3.7800000e+000 9.3184380e-004 2.3498460e-004 5.7789520e-005 1.8788950e-005 4.0227000e-006 -3.7400000e+000 1.0776420e-003 2.7486820e-004 6.8336850e-005 2.3645630e-005 5.2981900e-006 -3.7000000e+000 1.2860380e-003 3.1794050e-004 8.3299320e-005 2.7962670e-005 4.8566750e-006 -3.6600000e+000 1.4688250e-003 3.8387360e-004 1.0096000e-004 3.2377830e-005 6.5246240e-006 -3.6200000e+000 1.6704020e-003 4.8085990e-004 1.3157170e-004 4.1404380e-005 8.3888020e-006 -3.5800000e+000 1.9476250e-003 5.7475550e-004 1.7454600e-004 4.8615810e-005 1.2313390e-005 -3.5400000e+000 2.2812140e-003 6.9847810e-004 2.1649000e-004 6.4117910e-005 1.6973830e-005 -3.5000000e+000 2.6336420e-003 8.2975550e-004 2.5828680e-004 7.9129450e-005 1.9279530e-005 -3.4600000e+000 2.9588920e-003 9.9110500e-004 2.9988740e-004 9.9635410e-005 2.2615420e-005 -3.4200000e+000 3.3137730e-003 1.1799760e-003 3.4026160e-004 1.2543960e-004 2.6834350e-005 -3.3800000e+000 3.7584290e-003 1.3963190e-003 3.8230370e-004 1.5178340e-004 3.2279720e-005 -3.3400000e+000 4.2441940e-003 1.5926950e-003 4.5873500e-004 1.7680260e-004 4.0717580e-005 -3.3000000e+000 4.7546350e-003 1.8356270e-003 5.2466800e-004 2.2546740e-004 5.7249890e-005 -3.2600000e+000 5.3183040e-003 2.1279590e-003 6.0948820e-004 2.5264520e-004 7.1084060e-005 -3.2200000e+000 5.9872990e-003 2.4431530e-003 6.9411200e-004 2.9949490e-004 8.6782410e-005 -3.1800000e+000 6.6410360e-003 2.8385050e-003 8.0954390e-004 3.3736720e-004 1.1253750e-004 -3.1400000e+000 7.3433410e-003 3.2294440e-003 9.5970840e-004 3.8230370e-004 1.4545490e-004 -3.1000000e+000 8.1589190e-003 3.6413770e-003 1.1521600e-003 4.5225940e-004 1.7346670e-004 -3.0600000e+000 9.1423220e-003 4.0961390e-003 1.3539820e-003 5.3300780e-004 2.0712000e-004 -3.0200000e+000 1.0169530e-002 4.5666970e-003 1.6132500e-003 6.1836750e-004 2.4553190e-004 -2.9800000e+000 1.1358680e-002 5.1049050e-003 1.8463700e-003 7.3164090e-004 2.8433620e-004 -2.9400000e+000 1.2584770e-002 5.7487330e-003 2.1664200e-003 8.3677070e-004 3.4119370e-004 -2.9000000e+000 1.3853300e-002 6.5080430e-003 2.5394030e-003 9.7933130e-004 3.9481330e-004 -2.8600000e+000 1.5238680e-002 7.3673300e-003 2.9585000e-003 1.1449000e-003 4.7168610e-004 -2.8200000e+000 1.6736840e-002 8.3423940e-003 3.4186080e-003 1.3128720e-003 5.6440450e-004 -2.7800000e+000 1.8252170e-002 9.3425740e-003 3.8907850e-003 1.5421660e-003 6.7561740e-004 -2.7400000e+000 2.0003610e-002 1.0427820e-002 4.4308080e-003 1.8051130e-003 8.2421200e-004 -2.7000000e+000 2.1823200e-002 1.1539610e-002 5.1238900e-003 2.1248690e-003 9.5338000e-004 -2.6600000e+000 2.3792210e-002 1.2836930e-002 5.9303920e-003 2.4913270e-003 1.1194390e-003 -2.6200000e+000 2.5783940e-002 1.4294130e-002 6.7647100e-003 2.9083630e-003 1.3215550e-003 -2.5800000e+000 2.8138050e-002 1.5895750e-002 7.6740370e-003 3.4186570e-003 1.5704230e-003 -2.5400000e+000 3.0628500e-002 1.7516210e-002 8.5921440e-003 4.0048440e-003 1.8622160e-003 -2.5000000e+000 3.3042260e-002 1.9336090e-002 9.6622310e-003 4.6114860e-003 2.1567560e-003 -2.4600000e+000 3.5729380e-002 2.1169220e-002 1.0834700e-002 5.2815110e-003 2.4961840e-003 -2.4200000e+000 3.8639020e-002 2.3270390e-002 1.2150810e-002 6.0680960e-003 2.9425070e-003 -2.3800000e+000 4.1495580e-002 2.5326620e-002 1.3650890e-002 6.9580450e-003 3.4272920e-003 -2.3400000e+000 4.4533350e-002 2.7500450e-002 1.5223120e-002 7.9427240e-003 4.0043040e-003 -2.3000000e+000 4.7884750e-002 2.9848480e-002 1.6829460e-002 9.0612310e-003 4.6852190e-003 -2.2600000e+000 5.1374100e-002 3.2432530e-002 1.8620590e-002 1.0218490e-002 5.4050370e-003 -2.2200000e+000 5.5034270e-002 3.5277710e-002 2.0483590e-002 1.1466360e-002 6.2042300e-003 -2.1800000e+000 5.8856030e-002 3.8186660e-002 2.2517360e-002 1.2769870e-002 7.0540990e-003 -2.1400000e+000 6.2550050e-002 4.1352530e-002 2.4895460e-002 1.4294130e-002 8.0891590e-003 -2.1000000e+000 6.6302340e-002 4.4703780e-002 2.7390960e-002 1.5972520e-002 9.1606700e-003 -2.0600000e+000 7.0479030e-002 4.8205540e-002 3.0103680e-002 1.7833370e-002 1.0365080e-002 -2.0200000e+000 7.5105970e-002 5.1903970e-002 3.2974810e-002 1.9913300e-002 1.1723910e-002 -1.9800000e+000 8.0001900e-002 5.5968460e-002 3.6006850e-002 2.2224630e-002 1.3198720e-002 -1.9400000e+000 8.4945350e-002 6.0126860e-002 3.9247570e-002 2.4772870e-002 1.4977790e-002 -1.9000000e+000 9.0214950e-002 6.4452490e-002 4.2712150e-002 2.7534840e-002 1.6950580e-002 -1.8600000e+000 9.5716810e-002 6.8951240e-002 4.6651550e-002 3.0599750e-002 1.9219920e-002 -1.8200000e+000 1.0121100e-001 7.3528730e-002 5.0926990e-002 3.4167790e-002 2.1698980e-002 -1.7800000e+000 1.0677870e-001 7.8432010e-002 5.5406570e-002 3.7754270e-002 2.4583600e-002 -1.7400000e+000 1.1247190e-001 8.3231630e-002 6.0203340e-002 4.1819200e-002 2.7698150e-002 -1.7000000e+000 1.1816220e-001 8.8588890e-002 6.5463510e-002 4.6100050e-002 3.1018900e-002 -1.6600000e+000 1.2457570e-001 9.4271680e-002 7.0806480e-002 5.0669340e-002 3.4763490e-002 -1.6200000e+000 1.3081120e-001 1.0035130e-001 7.6321760e-002 5.5512820e-002 3.8933020e-002 -1.5800000e+000 1.3718420e-001 1.0662650e-001 8.2159380e-002 6.0740960e-002 4.3625010e-002 -1.5400000e+000 1.4388920e-001 1.1292920e-001 8.8269170e-002 6.6332710e-002 4.8583480e-002 -1.5000000e+000 1.5057560e-001 1.1954540e-001 9.4782810e-002 7.2220470e-002 5.4057100e-002 -1.4600000e+000 1.5760290e-001 1.2668340e-001 1.0164280e-001 7.8858170e-002 5.9698790e-002 -1.4200000e+000 1.6456610e-001 1.3429250e-001 1.0921800e-001 8.5781280e-002 6.5823050e-002 -1.3800000e+000 1.7141690e-001 1.4218420e-001 1.1695430e-001 9.3171230e-002 7.2612580e-002 -1.3400000e+000 1.7811740e-001 1.5035670e-001 1.2500930e-001 1.0095480e-001 7.9868990e-002 -1.3000000e+000 1.8449390e-001 1.5857250e-001 1.3326330e-001 1.0915450e-001 8.7680240e-002 -1.2600000e+000 1.9075820e-001 1.6710650e-001 1.4213740e-001 1.1814830e-001 9.6431730e-002 -1.2200000e+000 1.9696710e-001 1.7565310e-001 1.5126910e-001 1.2786680e-001 1.0581150e-001 -1.1800000e+000 2.0355990e-001 1.8449820e-001 1.6115270e-001 1.3822560e-001 1.1576470e-001 -1.1400000e+000 2.1012790e-001 1.9337200e-001 1.7153810e-001 1.4891160e-001 1.2663770e-001 -1.1000000e+000 2.1668490e-001 2.0233230e-001 1.8234070e-001 1.6048660e-001 1.3810880e-001 -1.0600000e+000 2.2332090e-001 2.1126160e-001 1.9343640e-001 1.7241430e-001 1.5035990e-001 -1.0200000e+000 2.3014230e-001 2.2031790e-001 2.0415250e-001 1.8502270e-001 1.6327750e-001 -9.8000000e-001 2.3708130e-001 2.2967340e-001 2.1550830e-001 1.9820990e-001 1.7724980e-001 -9.4000000e-001 2.4364750e-001 2.3907170e-001 2.2725090e-001 2.1236320e-001 1.9210650e-001 -9.0000000e-001 2.5022340e-001 2.4812080e-001 2.3923870e-001 2.2647500e-001 2.0795860e-001 -8.6000000e-001 2.5708590e-001 2.5769260e-001 2.5128860e-001 2.4073740e-001 2.2470070e-001 -8.2000000e-001 2.6344170e-001 2.6732020e-001 2.6348930e-001 2.5543140e-001 2.4194320e-001 -7.8000000e-001 2.6917690e-001 2.7692530e-001 2.7558540e-001 2.7072040e-001 2.5934320e-001 -7.4000000e-001 2.7508880e-001 2.8627540e-001 2.8838320e-001 2.8658730e-001 2.7787970e-001 -7.0000000e-001 2.8106670e-001 2.9514810e-001 3.0118190e-001 3.0274940e-001 2.9684320e-001 -6.6000000e-001 2.8644390e-001 3.0411700e-001 3.1449670e-001 3.1926770e-001 3.1746960e-001 -6.2000000e-001 2.9203530e-001 3.1249300e-001 3.2751500e-001 3.3637670e-001 3.3833010e-001 -5.8000000e-001 2.9702460e-001 3.2086510e-001 3.4038470e-001 3.5332860e-001 3.5974290e-001 -5.4000000e-001 3.0207230e-001 3.2874390e-001 3.5308450e-001 3.7029110e-001 3.8174260e-001 -5.0000000e-001 3.0741830e-001 3.3668650e-001 3.6588490e-001 3.8749720e-001 4.0395290e-001 -4.6000000e-001 3.1254930e-001 3.4450590e-001 3.7881900e-001 4.0478610e-001 4.2645120e-001 -4.2000000e-001 3.1726850e-001 3.5247900e-001 3.9136950e-001 4.2219730e-001 4.4870380e-001 -3.8000000e-001 3.2153470e-001 3.6060500e-001 4.0368160e-001 4.3988170e-001 4.7076050e-001 -3.4000000e-001 3.2525490e-001 3.6790120e-001 4.1589980e-001 4.5748630e-001 4.9338230e-001 -3.0000000e-001 3.2840690e-001 3.7516010e-001 4.2693080e-001 4.7475280e-001 5.1601360e-001 -2.6000000e-001 3.3119280e-001 3.8230700e-001 4.3840680e-001 4.9090470e-001 5.3730460e-001 -2.2000000e-001 3.3405610e-001 3.8884650e-001 4.4963980e-001 5.0638880e-001 5.5825560e-001 -1.8000000e-001 3.3664290e-001 3.9417250e-001 4.5969890e-001 5.2091880e-001 5.7682170e-001 -1.4000000e-001 3.3810110e-001 3.9897000e-001 4.6929330e-001 5.3356240e-001 5.9410640e-001 -1.0000000e-001 3.3959690e-001 4.0365530e-001 4.7718520e-001 5.4510960e-001 6.0969350e-001 -6.0000000e-002 3.4117030e-001 4.0717980e-001 4.8458410e-001 5.5516970e-001 6.2333110e-001 -2.0000000e-002 3.4141160e-001 4.1090130e-001 4.9087750e-001 5.6361040e-001 6.3485790e-001 2.0000000e-002 3.4192340e-001 4.1460380e-001 4.9617700e-001 5.6974940e-001 6.4346170e-001 6.0000000e-002 3.4205020e-001 4.1740270e-001 5.0021400e-001 5.7430370e-001 6.4880860e-001 1.0000000e-001 3.4213330e-001 4.1934490e-001 5.0165030e-001 5.7722950e-001 6.5094060e-001 1.4000000e-001 3.4163360e-001 4.2036020e-001 5.0213820e-001 5.7784820e-001 6.5026870e-001 1.8000000e-001 3.4072250e-001 4.2070440e-001 5.0066520e-001 5.7596370e-001 6.4633150e-001 2.2000000e-001 3.3990180e-001 4.2058010e-001 4.9744530e-001 5.7118910e-001 6.3891370e-001 2.6000000e-001 3.3845370e-001 4.1984160e-001 4.9333980e-001 5.6460880e-001 6.2847150e-001 3.0000000e-001 3.3677840e-001 4.1789030e-001 4.8849030e-001 5.5597000e-001 6.1542810e-001 3.4000000e-001 3.3517420e-001 4.1526150e-001 4.8152210e-001 5.4477210e-001 5.9880360e-001 3.8000000e-001 3.3261100e-001 4.1091310e-001 4.7439910e-001 5.3155930e-001 5.7903310e-001 4.2000000e-001 3.3006400e-001 4.0533080e-001 4.6594650e-001 5.1595940e-001 5.5639800e-001 4.6000000e-001 3.2706830e-001 3.9849090e-001 4.5601760e-001 4.9895260e-001 5.3193420e-001 5.0000000e-001 3.2368590e-001 3.9116870e-001 4.4461650e-001 4.7983000e-001 5.0629890e-001 5.4000000e-001 3.1985640e-001 3.8325130e-001 4.3219890e-001 4.6012710e-001 4.7947990e-001 5.8000000e-001 3.1553580e-001 3.7549530e-001 4.1828270e-001 4.3961710e-001 4.5153280e-001 6.2000000e-001 3.1036140e-001 3.6644010e-001 4.0320540e-001 4.1796290e-001 4.2205070e-001 6.6000000e-001 3.0491890e-001 3.5719690e-001 3.8765800e-001 3.9589780e-001 3.9267560e-001 7.0000000e-001 2.9913020e-001 3.4714280e-001 3.7050290e-001 3.7356230e-001 3.6371220e-001 7.4000000e-001 2.9313450e-001 3.3694170e-001 3.5403640e-001 3.5115610e-001 3.3469310e-001 7.8000000e-001 2.8718180e-001 3.2601840e-001 3.3660750e-001 3.2781310e-001 3.0633760e-001 8.2000000e-001 2.8056750e-001 3.1464840e-001 3.1904500e-001 3.0560210e-001 2.7975590e-001 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