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=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 -3.1400000e+000 4.1257210e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.1000000e+000 1.0208830e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.0600000e+000 1.4285490e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -3.0200000e+000 1.9745570e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.9800000e+000 3.4776730e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.9400000e+000 4.4710840e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.9000000e+000 5.3315490e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.8600000e+000 6.0605410e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.8200000e+000 6.9376870e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.7800000e+000 8.1523460e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.7400000e+000 9.4950450e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.7000000e+000 1.4059830e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.6600000e+000 1.8755590e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.6200000e+000 2.4325560e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.5800000e+000 2.9721870e-003 3.9883600e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.5400000e+000 3.6240110e-003 1.0081280e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.5000000e+000 4.4673560e-003 1.9210850e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.4600000e+000 5.4422230e-003 3.8760190e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.4200000e+000 6.5594050e-003 5.5832140e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.3800000e+000 7.6893420e-003 9.2698710e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.3400000e+000 9.1805870e-003 1.3841520e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.3000000e+000 1.0662360e-002 1.8583400e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.2600000e+000 1.2254570e-002 2.2905840e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.2200000e+000 1.3999140e-002 2.7053150e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.1800000e+000 1.6350560e-002 3.1044950e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.1400000e+000 1.9144670e-002 3.7014730e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.1000000e+000 2.1952410e-002 4.3520710e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 -2.0600000e+000 2.4724300e-002 5.2271060e-003 1.8200270e-005 1.0000000e-014 1.0000000e-014 -2.0200000e+000 2.7623390e-002 6.1820070e-003 9.7624060e-005 1.0000000e-014 1.0000000e-014 -1.9800000e+000 3.0553490e-002 7.2132900e-003 1.8779140e-004 1.0000000e-014 1.0000000e-014 -1.9400000e+000 3.3929510e-002 8.4303530e-003 3.4879750e-004 1.0000000e-014 1.0000000e-014 -1.9000000e+000 3.7541160e-002 9.8232860e-003 9.3086260e-004 1.0000000e-014 1.0000000e-014 -1.8600000e+000 4.1775640e-002 1.1599900e-002 1.8119320e-003 1.0000000e-014 1.0000000e-014 -1.8200000e+000 4.6453110e-002 1.3648380e-002 2.4767080e-003 1.0000000e-014 1.0000000e-014 -1.7800000e+000 5.1999780e-002 1.5899970e-002 3.1315250e-003 1.0000000e-014 1.0000000e-014 -1.7400000e+000 5.7633430e-002 1.8427650e-002 3.7267380e-003 1.0000000e-014 1.0000000e-014 -1.7000000e+000 6.3880030e-002 2.1181180e-002 4.3978420e-003 1.0000000e-014 1.0000000e-014 -1.6600000e+000 7.1227800e-002 2.4871620e-002 5.3584820e-003 2.6883410e-005 1.0000000e-014 -1.6200000e+000 7.7842780e-002 2.9095550e-002 6.7111890e-003 1.3407370e-004 1.0000000e-014 -1.5800000e+000 8.4991510e-002 3.3846410e-002 8.1961040e-003 4.2915340e-004 1.0000000e-014 -1.5400000e+000 9.2985010e-002 3.8643530e-002 9.7562250e-003 1.1469600e-003 1.0000000e-014 -1.5000000e+000 1.0174900e-001 4.3842140e-002 1.1601370e-002 2.2855800e-003 1.0000000e-014 -1.4600000e+000 1.0995520e-001 4.9745650e-002 1.4062920e-002 3.3034710e-003 1.0000000e-014 -1.4200000e+000 1.1834540e-001 5.5962580e-002 1.7354860e-002 4.1644270e-003 1.0000000e-014 -1.3800000e+000 1.2750650e-001 6.3460700e-002 2.1149250e-002 5.1421880e-003 2.6883410e-005 -1.3400000e+000 1.3691440e-001 7.1488580e-002 2.5738610e-002 6.8505610e-003 3.0067230e-004 -1.3000000e+000 1.4781980e-001 8.0696840e-002 3.1239700e-002 8.7238130e-003 8.2239690e-004 -1.2600000e+000 1.5945910e-001 8.9873890e-002 3.7610780e-002 1.0686160e-002 2.2197460e-003 -1.2200000e+000 1.7178870e-001 9.9509200e-002 4.4511130e-002 1.3493020e-002 3.6267580e-003 -1.1800000e+000 1.8521920e-001 1.1126540e-001 5.2717930e-002 1.7020830e-002 4.8801730e-003 -1.1400000e+000 1.9803060e-001 1.2487130e-001 6.0926630e-002 2.2054950e-002 6.5542050e-003 -1.1000000e+000 2.0899430e-001 1.3879020e-001 6.9774620e-002 2.7876380e-002 9.1745040e-003 -1.0600000e+000 2.2142070e-001 1.5312810e-001 8.0645330e-002 3.5084320e-002 1.1874570e-002 -1.0200000e+000 2.3431370e-001 1.6897180e-001 9.3734800e-002 4.3807790e-002 1.5272770e-002 -9.8000000e-001 2.4580910e-001 1.8622940e-001 1.0824960e-001 5.3647760e-002 2.0411520e-002 -9.4000000e-001 2.5821260e-001 2.0479480e-001 1.2383710e-001 6.5339200e-002 2.7657680e-002 -9.0000000e-001 2.7002990e-001 2.2387320e-001 1.4353420e-001 7.8738370e-002 3.6640860e-002 -8.6000000e-001 2.8197920e-001 2.4566900e-001 1.6418930e-001 9.4382800e-002 4.7247500e-002 -8.2000000e-001 2.9167440e-001 2.6775850e-001 1.8684020e-001 1.1346810e-001 6.0462950e-002 -7.8000000e-001 3.0198360e-001 2.8837170e-001 2.1236970e-001 1.3585090e-001 7.6800700e-002 -7.4000000e-001 3.1278090e-001 3.0899530e-001 2.4019020e-001 1.6274450e-001 9.6953990e-002 -7.0000000e-001 3.2242870e-001 3.3071040e-001 2.7086480e-001 1.9310440e-001 1.2082890e-001 -6.6000000e-001 3.3189480e-001 3.5184300e-001 3.0489040e-001 2.2699880e-001 1.5048990e-001 -6.2000000e-001 3.4186500e-001 3.7120990e-001 3.4200700e-001 2.6462780e-001 1.8716930e-001 -5.8000000e-001 3.5219480e-001 3.8920480e-001 3.7615350e-001 3.0696460e-001 2.3054940e-001 -5.4000000e-001 3.6234900e-001 4.0795680e-001 4.0961120e-001 3.5620550e-001 2.8092870e-001 -5.0000000e-001 3.7221810e-001 4.2703380e-001 4.4434370e-001 4.1026580e-001 3.3624960e-001 -4.6000000e-001 3.8212110e-001 4.4607090e-001 4.8226540e-001 4.6143440e-001 4.0045460e-001 -4.2000000e-001 3.9144230e-001 4.6392510e-001 5.1980040e-001 5.1627890e-001 4.7586380e-001 -3.8000000e-001 4.0080120e-001 4.8266680e-001 5.5651270e-001 5.7455370e-001 5.5145840e-001 -3.4000000e-001 4.0978070e-001 5.0177730e-001 5.8922060e-001 6.3565900e-001 6.3214400e-001 -3.0000000e-001 4.1849940e-001 5.2127240e-001 6.2040060e-001 6.9457800e-001 7.2154180e-001 -2.6000000e-001 4.2777850e-001 5.3752830e-001 6.5213010e-001 7.5153050e-001 8.1011720e-001 -2.2000000e-001 4.3571930e-001 5.5086440e-001 6.8490980e-001 8.0709320e-001 8.9833960e-001 -1.8000000e-001 4.4511910e-001 5.6235220e-001 7.1788980e-001 8.5966350e-001 9.8368870e-001 -1.4000000e-001 4.5362940e-001 5.7616070e-001 7.4785830e-001 9.0879200e-001 1.0595150e+000 -1.0000000e-001 4.6265190e-001 5.9098140e-001 7.7456580e-001 9.5876830e-001 1.1345970e+000 -6.0000000e-002 4.7013740e-001 6.0546870e-001 7.9992170e-001 1.0014480e+000 1.2018720e+000 -2.0000000e-002 4.7402300e-001 6.1675270e-001 8.2101390e-001 1.0375780e+000 1.2584230e+000 2.0000000e-002 4.7872150e-001 6.2649540e-001 8.3552600e-001 1.0576810e+000 1.2927770e+000 6.0000000e-002 4.8209560e-001 6.3351680e-001 8.4466110e-001 1.0755570e+000 1.3204410e+000 1.0000000e-001 4.8229110e-001 6.3660630e-001 8.5190620e-001 1.0891950e+000 1.3236270e+000 1.4000000e-001 4.7849340e-001 6.3807800e-001 8.5711330e-001 1.0804240e+000 1.2943920e+000 1.8000000e-001 4.7583640e-001 6.3609900e-001 8.4856670e-001 1.0539870e+000 1.2258630e+000 2.2000000e-001 4.6949420e-001 6.3197050e-001 8.3245240e-001 1.0063900e+000 1.1395140e+000 2.6000000e-001 4.6205110e-001 6.2486230e-001 8.0667820e-001 9.4793580e-001 1.0315600e+000 3.0000000e-001 4.5696890e-001 6.1376830e-001 7.7574120e-001 8.8037560e-001 9.1150340e-001 3.4000000e-001 4.4888440e-001 6.0093160e-001 7.3818950e-001 8.0122070e-001 7.8868200e-001 3.8000000e-001 4.3946930e-001 5.8727960e-001 6.9573010e-001 7.1833610e-001 6.5745500e-001 4.2000000e-001 4.3239140e-001 5.6679950e-001 6.4669750e-001 6.3514820e-001 5.3611130e-001 4.6000000e-001 4.2574620e-001 5.4526000e-001 5.9553140e-001 5.4596540e-001 4.2364590e-001 5.0000000e-001 4.1732950e-001 5.1980220e-001 5.4410180e-001 4.6187520e-001 3.2215380e-001 5.4000000e-001 4.0722990e-001 4.9423720e-001 4.9261970e-001 3.8531940e-001 2.4405560e-001 5.8000000e-001 3.9396410e-001 4.6961080e-001 4.3640860e-001 3.1014400e-001 1.8249720e-001 6.2000000e-001 3.8071860e-001 4.4367980e-001 3.8061580e-001 2.4609700e-001 1.3490550e-001 6.6000000e-001 3.6840110e-001 4.1660740e-001 3.3078550e-001 1.9545420e-001 9.9354660e-002 7.0000000e-001 3.5412250e-001 3.8920800e-001 2.8322290e-001 1.5523470e-001 7.2406890e-002 7.4000000e-001 3.3904200e-001 3.5747390e-001 2.3707260e-001 1.2126460e-001 5.0601260e-002 7.8000000e-001 3.2523000e-001 3.2795110e-001 1.9605410e-001 9.3960080e-002 3.4070750e-002 8.2000000e-001 3.1135480e-001 2.9364030e-001 1.6415850e-001 7.3118660e-002 2.2959320e-002 8.6000000e-001 2.9682580e-001 2.6135040e-001 1.3753970e-001 5.5979260e-002 1.5600130e-002 9.0000000e-001 2.8374770e-001 2.3219310e-001 1.1448450e-001 4.1239350e-002 9.7685880e-003 9.4000000e-001 2.7004640e-001 2.0578730e-001 9.4138440e-002 2.9769500e-002 5.2569340e-003 9.8000000e-001 2.5420080e-001 1.7971520e-001 7.7125370e-002 2.1232600e-002 2.9447150e-003 1.0200000e+000 2.3741930e-001 1.5691520e-001 6.2133010e-002 1.5712670e-002 1.7344710e-003 1.0600000e+000 2.2374130e-001 1.3649300e-001 5.0928760e-002 1.1825220e-002 7.3399560e-004 1.1000000e+000 2.1060490e-001 1.1909930e-001 4.0663570e-002 7.5592920e-003 2.2409380e-004 1.1400000e+000 1.9790650e-001 1.0422750e-001 3.1669840e-002 4.4412080e-003 1.3245480e-006 1.1800000e+000 1.8572850e-001 9.0924600e-002 2.4086750e-002 2.7181680e-003 1.0000000e-014 1.2200000e+000 1.7273230e-001 7.8161010e-002 1.8168030e-002 1.7039080e-003 1.0000000e-014 1.2600000e+000 1.6063550e-001 6.7709070e-002 1.4649250e-002 8.8523930e-004 1.0000000e-014 1.3000000e+000 1.4997770e-001 5.9179120e-002 1.1947860e-002 2.7413230e-004 1.0000000e-014 1.3400000e+000 1.3925660e-001 5.0574370e-002 9.3378650e-003 2.8060790e-005 1.0000000e-014 1.3800000e+000 1.2931010e-001 4.1976580e-002 6.7621600e-003 1.0000000e-014 1.0000000e-014 1.4200000e+000 1.1883060e-001 3.5001950e-002 4.3949470e-003 1.0000000e-014 1.0000000e-014 1.4600000e+000 1.0848760e-001 2.8254070e-002 2.9549190e-003 1.0000000e-014 1.0000000e-014 1.5000000e+000 9.8518880e-002 2.3675850e-002 1.8274830e-003 1.0000000e-014 1.0000000e-014 1.5400000e+000 8.8477820e-002 1.9809490e-002 9.6225930e-004 1.0000000e-014 1.0000000e-014 1.5800000e+000 7.8301510e-002 1.6647850e-002 4.4215360e-004 1.0000000e-014 1.0000000e-014 1.6200000e+000 7.0024910e-002 1.3682430e-002 1.6125140e-004 1.0000000e-014 1.0000000e-014 1.6600000e+000 6.1810210e-002 1.0890970e-002 2.9434390e-007 1.0000000e-014 1.0000000e-014 1.7000000e+000 5.3775410e-002 8.6386510e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.7400000e+000 4.6999370e-002 6.9945920e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.7800000e+000 4.1449660e-002 5.5821840e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.8200000e+000 3.6037610e-002 4.3124820e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.8600000e+000 3.1454180e-002 3.2303750e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.9000000e+000 2.7571780e-002 2.5538750e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.9400000e+000 2.4024740e-002 2.0226330e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.9800000e+000 2.0794320e-002 1.5460900e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.0200000e+000 1.8214540e-002 1.0534570e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.0600000e+000 1.5875490e-002 6.2096750e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.1000000e+000 1.3749290e-002 3.3741620e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.1400000e+000 1.1819090e-002 1.7415350e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.1800000e+000 1.0400400e-002 1.6679490e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.2200000e+000 8.8599000e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.2600000e+000 7.7150970e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.3000000e+000 6.6535460e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.3400000e+000 5.6236860e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.3800000e+000 4.4499410e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.4200000e+000 3.6818010e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.4600000e+000 3.0812410e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.5000000e+000 2.6769600e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.5400000e+000 2.3422910e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.5800000e+000 1.9722020e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.6200000e+000 1.5380940e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.6600000e+000 1.2024930e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.7000000e+000 1.0393770e-003 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.7400000e+000 9.2988150e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.7800000e+000 8.0861180e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.8200000e+000 6.7968920e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.8600000e+000 5.4625330e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.9000000e+000 4.0693050e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.9400000e+000 2.5210560e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 2.9800000e+000 1.8116870e-004 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014 3.0200000e+000 8.1925720e-005 1.0000000e-014 1.0000000e-014 1.0000000e-014 1.0000000e-014