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 the longitudinal velocity gradients w': r.m.s. vorticity magnitude = sqrt(disip/nu) pdfs ___________________________________________________________________________ dudx/w' Re=37 Re=64 Re=92 Re=142 Re=168 -4.9800000e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 1.5522050e-008 -4.9400001e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 1.5522050e-008 -4.9000001e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 1.0000000e-014 -4.8600001e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 1.0000000e-014 -4.8199997e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 1.5522050e-008 -4.7799997e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 1.0000000e-014 -4.7399998e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 1.0000000e-014 -4.6999998e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 2.9434400e-008 1.5522050e-008 -4.6599998e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 2.9434400e-008 1.5522050e-008 -4.6199999e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 3.1044100e-008 -4.5799999e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 2.9434400e-008 3.1044100e-008 -4.5400000e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 2.9434400e-008 4.6566140e-008 -4.5000000e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 5.8868789e-008 1.5522050e-008 -4.4600000e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.3132270e-008 -4.4200001e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 6.2088180e-008 -4.3800001e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 1.5522050e-008 -4.3400002e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 3.1044090e-008 -4.2999997e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.3132270e-008 -4.2599998e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 5.8868785e-008 1.5522050e-008 -4.2199998e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 6.2088180e-008 -4.1799998e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 5.8868789e-008 9.3132280e-008 -4.1399999e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 5.8868785e-008 9.3132270e-008 -4.0999999e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 1.1773757e-007 1.2417640e-007 -4.0599999e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 1.1773757e-007 1.5522040e-007 -4.0200000e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 5.8868789e-008 1.3969840e-007 -3.9800000e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 1.1773757e-007 2.9491880e-007 -3.9399998e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 5.8868785e-008 1.3969840e-007 -3.8999999e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 1.1773757e-007 2.9491890e-007 -3.8599999e+000 9.9999998e-015 9.9999998e-015 8.2784247e-008 2.3547514e-007 2.9491890e-007 -3.8199999e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 1.7660635e-007 3.4148490e-007 -3.7800000e+000 9.9999998e-015 9.9999998e-015 1.6556847e-007 2.3547514e-007 4.8118330e-007 -3.7400000e+000 9.9999998e-015 9.9999998e-015 1.6556847e-007 3.2377832e-007 4.5013930e-007 -3.7000000e+000 9.9999998e-015 9.9999998e-015 1.6556847e-007 3.5321267e-007 3.7252910e-007 -3.6599998e+000 9.9999998e-015 9.9999998e-015 1.6556847e-007 5.8868784e-007 5.1222750e-007 -3.6199999e+000 9.9999998e-015 9.9999998e-015 2.4835271e-007 4.1208145e-007 4.8118330e-007 -3.5799999e+000 9.9999998e-015 9.9999998e-015 2.4835271e-007 5.0038460e-007 7.1401400e-007 -3.5400000e+000 9.9999998e-015 9.9999998e-015 3.3113693e-007 4.1208150e-007 6.6744790e-007 -3.5000000e+000 9.9999998e-015 9.9999998e-015 3.3113693e-007 8.5359733e-007 5.5879350e-007 -3.4600000e+000 9.9999998e-015 9.9999998e-015 4.9670541e-007 5.5925341e-007 9.3132260e-007 -3.4199998e+000 9.9999998e-015 9.9999998e-015 4.1392116e-007 1.1479412e-006 9.9341080e-007 -3.3799999e+000 9.9999998e-015 9.9999998e-015 2.4835271e-007 9.1246613e-007 1.4745940e-006 -3.3399999e+000 9.9999998e-015 9.9999998e-015 4.1392119e-007 1.1773757e-006 1.7229470e-006 -3.3000000e+000 9.9999998e-015 9.9999998e-015 4.9670535e-007 1.7660635e-006 2.1420420e-006 -3.2600000e+000 9.9999998e-015 9.9999998e-015 4.9670541e-007 1.7954981e-006 1.8005570e-006 -3.2200000e+000 9.9999998e-015 9.9999998e-015 3.3113693e-007 2.0015384e-006 2.3903950e-006 -3.1799998e+000 9.9999998e-015 9.9999998e-015 1.1589792e-006 2.8845704e-006 2.6853140e-006 -3.1399999e+000 9.9999998e-015 9.9999998e-015 4.1392119e-007 3.1494801e-006 3.2285850e-006 -3.0999999e+000 9.9999998e-015 9.9999998e-015 1.0761951e-006 3.4732579e-006 3.8029010e-006 -3.0599999e+000 9.9999998e-015 9.9999998e-015 1.4073318e-006 3.4438240e-006 3.5390260e-006 -3.0200000e+000 9.9999998e-015 9.9999998e-015 2.2351744e-006 4.7978056e-006 4.9515320e-006 -2.9800000e+000 9.9999998e-015 9.9999998e-015 1.3245477e-006 4.7683711e-006 6.0070310e-006 -2.9400001e+000 9.9999998e-015 1.3245477e-006 1.8212530e-006 5.2687565e-006 6.4416480e-006 -2.8999999e+000 9.9999998e-015 9.9999998e-015 3.2285852e-006 7.0053852e-006 6.7831330e-006 -2.8599999e+000 9.9999998e-015 1.9868216e-006 2.4007425e-006 7.4174664e-006 7.7144560e-006 -2.8199999e+000 9.9999998e-015 1.3245477e-006 3.2285855e-006 8.8597508e-006 9.7633660e-006 -2.7800000e+000 9.9999998e-015 6.6227386e-007 3.8080746e-006 1.0243169e-005 1.0197980e-005 -2.7400000e+000 9.9999998e-015 9.9999998e-015 3.0630169e-006 1.0979029e-005 1.3147170e-005 -2.7000000e+000 9.9999998e-015 1.9868216e-006 3.8908588e-006 1.3480951e-005 1.4854600e-005 -2.6599998e+000 9.9999998e-015 1.3245477e-006 5.5465439e-006 1.4511155e-005 1.5692790e-005 -2.6199999e+000 9.9999998e-015 3.9736433e-006 6.3743860e-006 1.6394957e-005 1.9526730e-005 -2.5799999e+000 9.9999998e-015 3.9736433e-006 9.0234817e-006 1.8219889e-005 2.1203110e-005 -2.5400000e+000 9.9999998e-015 3.9736433e-006 8.7751287e-006 2.1133896e-005 2.6434040e-005 -2.5000000e+000 9.9999998e-015 4.6359169e-006 1.1258656e-005 2.5107536e-005 2.9771280e-005 -2.4600000e+000 9.9999998e-015 1.0596382e-005 1.5977357e-005 2.6608692e-005 3.4070890e-005 -2.4200001e+000 9.9999998e-015 5.9604649e-006 1.7798609e-005 3.2672175e-005 3.8618840e-005 -2.3799999e+000 9.9999998e-015 9.2718337e-006 1.9537079e-005 3.5733352e-005 4.5774500e-005 -2.3399999e+000 9.9999998e-015 1.4570025e-005 2.3593508e-005 4.3121381e-005 5.4063280e-005 -2.3000000e+000 9.9999998e-015 1.3907752e-005 2.8891698e-005 4.6594643e-005 6.3454110e-005 -2.2600000e+000 9.9999998e-015 1.3907752e-005 3.0878520e-005 5.6307996e-005 7.3496880e-005 -2.2200000e+000 9.9999998e-015 1.9868216e-005 4.0067571e-005 6.6933804e-005 8.4160520e-005 -2.1800001e+000 9.9999998e-015 1.9205943e-005 4.5531327e-005 7.3792020e-005 1.0002400e-004 -2.1399999e+000 9.9999998e-015 2.3841860e-005 5.3975320e-005 8.7891094e-005 1.1380760e-004 -2.0999999e+000 9.9999998e-015 3.1789146e-005 6.3826643e-005 1.0310868e-004 1.3196840e-004 -2.0599999e+000 9.9999998e-015 3.9736431e-005 7.1691145e-005 1.2447804e-004 1.5861970e-004 -2.0200000e+000 9.9999998e-015 5.2319636e-005 9.5119081e-005 1.4384589e-004 1.8264790e-004 -1.9800000e+000 9.9999998e-015 5.4306456e-005 1.0811621e-004 1.7451651e-004 2.1347470e-004 -1.9399999e+000 9.9999998e-015 7.9472869e-005 1.3071630e-004 2.0139010e-004 2.4031230e-004 -1.9000000e+000 5.4637594e-006 8.4771054e-005 1.6142926e-004 2.3497475e-004 2.8358770e-004 -1.8600000e+000 1.5397867e-005 9.5367439e-005 1.9421183e-004 2.8242299e-004 3.3473290e-004 -1.8199999e+000 3.3775967e-005 1.2252067e-004 2.3204424e-004 3.2969465e-004 3.9401160e-004 -1.7800000e+000 4.8677131e-005 1.4106433e-004 2.7906566e-004 3.9080047e-004 4.6046140e-004 -1.7400000e+000 7.0035472e-005 1.7947622e-004 3.4040876e-004 4.6117805e-004 5.4083460e-004 -1.6999999e+000 9.2883914e-005 2.1855037e-004 4.0009621e-004 5.5189489e-004 6.3146780e-004 -1.6600000e+000 1.2268624e-004 2.8146640e-004 4.9339404e-004 6.4222899e-004 7.3914420e-004 -1.6200000e+000 1.6589959e-004 3.2650106e-004 5.8992044e-004 7.6146773e-004 8.8235060e-004 -1.5799999e+000 2.1557015e-004 4.1789483e-004 6.9795386e-004 9.2188519e-004 1.0247030e-003 -1.5400000e+000 2.9802325e-004 5.0001679e-004 8.7627111e-004 1.1030834e-003 1.2111540e-003 -1.5000000e+000 3.7898621e-004 6.1525241e-004 1.0473033e-003 1.3090651e-003 1.4398560e-003 -1.4600000e+000 4.6888992e-004 7.8413222e-004 1.2901924e-003 1.5722087e-003 1.7240950e-003 -1.4200000e+000 6.2485540e-004 9.1857387e-004 1.5750529e-003 1.8837128e-003 2.0577260e-003 -1.3800000e+000 8.3744538e-004 1.1629529e-003 1.9138887e-003 2.2688028e-003 2.4513340e-003 -1.3400000e+000 1.1136135e-003 1.4358098e-003 2.3692020e-003 2.7092297e-003 2.9293670e-003 -1.3000000e+000 1.5288594e-003 1.8093322e-003 2.8798152e-003 3.2673352e-003 3.4807560e-003 -1.2600000e+000 1.9023818e-003 2.3113359e-003 3.5892762e-003 3.9707879e-003 4.1994890e-003 -1.2200000e+000 2.5505824e-003 2.8815537e-003 4.4214227e-003 4.7919187e-003 5.0134650e-003 -1.1799999e+000 3.3721330e-003 3.7252905e-003 5.4188906e-003 5.8182376e-003 6.0263410e-003 -1.1400000e+000 4.2647128e-003 4.7822795e-003 6.6732373e-003 7.0655784e-003 7.2760360e-003 -1.1000000e+000 5.4816408e-003 6.0896087e-003 8.2041658e-003 8.5906042e-003 8.7742080e-003 -1.0599999e+000 6.9300337e-003 7.8300638e-003 1.0050999e-002 1.0459511e-002 1.0608570e-002 -1.0200000e+000 8.8046007e-003 9.9221868e-003 1.2367800e-002 1.2706121e-002 1.2900600e-002 -9.8000002e-001 1.1173884e-002 1.2441476e-002 1.5231471e-002 1.5565289e-002 1.5665840e-002 -9.4000000e-001 1.4579297e-002 1.5966101e-002 1.8798148e-002 1.8983299e-002 1.9124480e-002 -8.9999998e-001 1.8938383e-002 2.0268230e-002 2.3174701e-002 2.3268711e-002 2.3340710e-002 -8.6000001e-001 2.4524333e-002 2.5929347e-002 2.8696574e-002 2.8552243e-002 2.8576350e-002 -8.1999999e-001 3.1508509e-002 3.3119652e-002 3.5406817e-002 3.5091855e-002 3.4964570e-002 -7.7999997e-001 4.0403508e-002 4.1715305e-002 4.3945100e-002 4.3238562e-002 4.2910150e-002 -7.4000001e-001 5.1809356e-002 5.3130258e-002 5.4537009e-002 5.3260677e-002 5.2916460e-002 -6.9999999e-001 6.7185864e-002 6.6978410e-002 6.7837618e-002 6.5901101e-002 6.5321480e-002 -6.6000003e-001 8.6916991e-002 8.4467076e-002 8.4242642e-002 8.1516720e-002 8.0780520e-002 -6.2000000e-001 1.1112293e-001 1.0595653e-001 1.0488523e-001 1.0109901e-001 1.0003950e-001 -5.7999998e-001 1.4044893e-001 1.3450386e-001 1.3054867e-001 1.2526603e-001 1.2391420e-001 -5.4000002e-001 1.7700198e-001 1.6896594e-001 1.6215007e-001 1.5561409e-001 1.5356280e-001 -5.0000000e-001 2.2222102e-001 2.1160246e-001 2.0180710e-001 1.9300151e-001 1.9051100e-001 -4.6000001e-001 2.7681839e-001 2.6352212e-001 2.5008553e-001 2.3963186e-001 2.3657910e-001 -4.2000002e-001 3.4293535e-001 3.2746661e-001 3.0942130e-001 2.9721975e-001 2.9359820e-001 -3.8000000e-001 4.2565322e-001 4.0571427e-001 3.8194633e-001 3.6850885e-001 3.6389540e-001 -3.4000000e-001 5.2000737e-001 4.9933267e-001 4.6991292e-001 4.5658404e-001 4.5049790e-001 -3.0000001e-001 6.2613940e-001 6.0755676e-001 5.7619166e-001 5.6280231e-001 5.5684630e-001 -2.6000002e-001 7.5027549e-001 7.3700815e-001 7.0484561e-001 6.9099593e-001 6.8611210e-001 -2.2000001e-001 8.8914442e-001 8.8197660e-001 8.5544127e-001 8.4385729e-001 8.4067510e-001 -1.8000001e-001 1.0426383e+000 1.0444927e+000 1.0274230e+000 1.0228407e+000 1.0215420e+000 -1.4000002e-001 1.1994780e+000 1.2199475e+000 1.2167128e+000 1.2250710e+000 1.2270580e+000 -1.0000002e-001 1.3583730e+000 1.3941628e+000 1.4162831e+000 1.4413344e+000 1.4480930e+000 -6.0000017e-002 1.5120338e+000 1.5574297e+000 1.6131188e+000 1.6550915e+000 1.6661690e+000 -2.0000018e-002 1.6381125e+000 1.6932853e+000 1.7777797e+000 1.8369859e+000 1.8521710e+000 1.9999981e-002 1.7253485e+000 1.7795769e+000 1.8851053e+000 1.9497900e+000 1.9686670e+000 5.9999980e-002 1.7598591e+000 1.8052784e+000 1.9015713e+000 1.9569181e+000 1.9766410e+000 9.9999979e-002 1.7210317e+000 1.7567987e+000 1.8125588e+000 1.8439960e+000 1.8593300e+000 1.3999998e-001 1.6124185e+000 1.6268686e+000 1.6321483e+000 1.6344868e+000 1.6402620e+000 1.7999998e-001 1.4428935e+000 1.4264287e+000 1.3969232e+000 1.3730961e+000 1.3692330e+000 2.1999997e-001 1.2379607e+000 1.1984812e+000 1.1413668e+000 1.1054671e+000 1.0954590e+000 2.5999998e-001 1.0178905e+000 9.6743512e-001 8.9904600e-001 8.6318952e-001 8.5062920e-001 2.9999998e-001 7.9691863e-001 7.5122184e-001 6.8865675e-001 6.5934974e-001 6.4689700e-001 3.3999997e-001 6.0091764e-001 5.6637663e-001 5.1848108e-001 4.9646726e-001 4.8616840e-001 3.7999997e-001 4.3758607e-001 4.1701531e-001 3.8589183e-001 3.7039107e-001 3.6355760e-001 4.1999996e-001 3.1374198e-001 3.0245119e-001 2.8596306e-001 2.7516061e-001 2.7099180e-001 4.5999998e-001 2.2158872e-001 2.1692316e-001 2.1110368e-001 2.0412286e-001 2.0175030e-001 4.9999997e-001 1.5418033e-001 1.5391113e-001 1.5574472e-001 1.5161175e-001 1.5030510e-001 5.3999996e-001 1.0520320e-001 1.0905796e-001 1.1490130e-001 1.1271535e-001 1.1224140e-001 5.7999998e-001 7.1527563e-002 7.7160865e-002 8.4993333e-002 8.4229484e-002 8.3933800e-002 6.1999995e-001 4.8979126e-002 5.4497194e-002 6.2936381e-002 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