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, dx/L=4/6 L: integral scale (Batchelor 1953). u': one-component rms velocity du : velocity difference at centre of the histogram box pdfs _________________________________________________________ du/u' Re=62 Re=92 Re=142 Re=168 -6.1799998e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -6.1399998e+000 9.9999998e-015 9.9999998e-015 9.9999998e-015 9.9999998e-015 -6.0999999e+000 9.9999998e-015 8.2784237e-007 9.9999998e-015 9.9999998e-015 -6.0599999e+000 9.9999998e-015 6.6227386e-007 9.9999998e-015 9.9999998e-015 -6.0200000e+000 9.9999998e-015 9.9341082e-007 9.9999998e-015 9.9999998e-015 -5.9800000e+000 9.9999998e-015 1.3245477e-006 9.9999998e-015 9.9999998e-015 -5.9400000e+000 9.9999998e-015 3.3113693e-007 9.9999998e-015 9.9999998e-015 -5.9000001e+000 9.9999998e-015 1.3245477e-006 9.9999998e-015 9.9999998e-015 -5.8599996e+000 9.9999998e-015 2.3179584e-006 9.9999998e-015 9.9999998e-015 -5.8199997e+000 9.9999998e-015 1.4901162e-006 2.2075793e-007 9.9999998e-015 -5.7799997e+000 9.9999998e-015 2.4835269e-006 6.2548082e-007 9.9999998e-015 -5.7399998e+000 9.9999998e-015 1.6556847e-006 9.1982474e-007 9.9999998e-015 -5.6999998e+000 9.9999998e-015 2.6490955e-006 1.4717197e-006 1.8626451e-007 -5.6599998e+000 9.9999998e-015 4.1392118e-006 1.8028567e-006 6.2088168e-007 -5.6199999e+000 9.9999998e-015 1.8212531e-006 2.2075792e-006 1.8626451e-006 -5.5799999e+000 9.9999998e-015 1.6556847e-006 2.5387164e-006 2.9181440e-006 -5.5399999e+000 9.9999998e-015 4.3047803e-006 3.2745761e-006 5.7742000e-006 -5.5000000e+000 9.9999998e-015 3.1458010e-006 3.7896780e-006 7.7610212e-006 -5.4600000e+000 9.9999998e-015 4.3047803e-006 4.0840218e-006 1.2479723e-005 -5.4200001e+000 9.9999998e-015 3.4769380e-006 4.2311935e-006 1.4031927e-005 -5.3800001e+000 9.9999998e-015 3.4769380e-006 5.0774324e-006 1.5708307e-005 -5.3399997e+000 9.9999998e-015 3.8080750e-006 5.7397065e-006 1.7198423e-005 -5.2999997e+000 9.9999998e-015 5.6293279e-006 6.5123591e-006 1.7757216e-005 -5.2599997e+000 9.9999998e-015 3.8080750e-006 7.2850121e-006 2.2103390e-005 -5.2199998e+000 1.3245477e-006 5.1326224e-006 8.5359743e-006 2.1730861e-005 -5.1799998e+000 2.6490955e-006 6.7883070e-006 9.3454200e-006 2.4338564e-005 -5.1399998e+000 3.9736433e-006 5.2981909e-006 1.2840754e-005 2.7629236e-005 -5.0999999e+000 3.9736433e-006 7.7817176e-006 1.4202094e-005 2.8063854e-005 -5.0599999e+000 9.2718337e-006 9.9341078e-006 1.6336089e-005 3.1727053e-005 -5.0200000e+000 2.2517312e-005 9.1062657e-006 1.9537079e-005 3.6445756e-005 -4.9800000e+000 2.5166408e-005 1.1424224e-005 2.2517310e-005 4.2778749e-005 -4.9400000e+000 3.0464600e-005 1.0596382e-005 2.5019233e-005 4.7435362e-005 -4.9000001e+000 4.7683719e-005 1.8046963e-005 2.8367394e-005 5.4637592e-005 -4.8600001e+000 3.8411887e-005 1.8378101e-005 3.2561795e-005 6.0660142e-005 -4.8199997e+000 3.4438242e-005 2.3014016e-005 3.8191123e-005 6.7303576e-005 -4.7799997e+000 5.2981912e-005 2.5663112e-005 4.0840219e-005 8.5867941e-005 -4.7399998e+000 5.4306456e-005 3.0630166e-005 4.7462956e-005 9.4311930e-005 -4.6999998e+000 5.4306456e-005 3.0299030e-005 5.2098876e-005 1.1374553e-004 -4.6599998e+000 5.1657364e-005 4.0233139e-005 6.1885810e-005 1.3572474e-004 -4.6199999e+000 6.2253748e-005 4.3875643e-005 6.9833091e-005 1.6652048e-004 -4.5799999e+000 8.4771054e-005 5.2319636e-005 8.7456938e-005 1.8284966e-004 -4.5399999e+000 8.2121958e-005 6.2088176e-005 1.0048165e-004 2.2668391e-004 -4.5000000e+000 8.4771054e-005 6.6392960e-005 1.1107804e-004 2.6089448e-004 -4.4600000e+000 9.2718343e-005 8.8744702e-005 1.2947453e-004 3.2198924e-004 -4.4200001e+000 1.0463927e-004 9.5864147e-005 1.4875406e-004 3.7650266e-004 -4.3800001e+000 1.3113022e-004 1.0894406e-004 1.7171288e-004 4.2853257e-004 -4.3400001e+000 1.1391111e-004 1.2268624e-004 2.0041141e-004 4.8615038e-004 -4.2999997e+000 1.5232299e-004 1.3013682e-004 2.2329667e-004 5.2445877e-004 -4.2599997e+000 1.7748940e-004 1.5182629e-004 2.6395291e-004 5.9809536e-004 -4.2199998e+000 1.9338397e-004 1.7335017e-004 3.0545541e-004 6.5298128e-004 -4.1799998e+000 2.4769045e-004 2.1159653e-004 3.5096833e-004 7.2959810e-004 -4.1399998e+000 2.5696226e-004 2.2997458e-004 4.0567952e-004 8.4607553e-004 -4.0999999e+000 2.7815500e-004 2.7451254e-004 4.5976520e-004 9.1294450e-004 -4.0599999e+000 3.0994415e-004 3.0183131e-004 5.3029740e-004 1.0005508e-003 -4.0200000e+000 4.0133798e-004 3.2583877e-004 5.9446436e-004 1.1075288e-003 -3.9800000e+000 5.0730183e-004 3.8031078e-004 6.8589486e-004 1.2205914e-003 -3.9399998e+000 5.4438913e-004 4.2650438e-004 7.7758305e-004 1.3343990e-003 -3.8999998e+000 6.6889660e-004 4.9587758e-004 8.8178081e-004 1.4990568e-003 -3.8599999e+000 7.3247496e-004 5.5034965e-004 1.0029769e-003 1.6518558e-003 -3.8199999e+000 8.7949965e-004 6.1392790e-004 1.1504432e-003 1.8415352e-003 -3.7800000e+000 1.0516909e-003 7.0201029e-004 1.2877178e-003 2.0271167e-003 -3.7400000e+000 1.1324884e-003 7.9555647e-004 1.4852227e-003 2.2110217e-003 -3.7000000e+000 1.3364687e-003 9.2585891e-004 1.6717264e-003 2.4050474e-003 -3.6599998e+000 1.5099845e-003 1.0571546e-003 1.9007993e-003 2.6530896e-003 -3.6199999e+000 1.7272104e-003 1.1932519e-003 2.1450683e-003 2.9296924e-003 -3.5799999e+000 2.0212599e-003 1.3505421e-003 2.4109711e-003 3.2385811e-003 -3.5399999e+000 2.3338532e-003 1.5434292e-003 2.6979931e-003 3.5768375e-003 -3.5000000e+000 2.5524034e-003 1.7609863e-003 3.0054355e-003 3.9970502e-003 -3.4600000e+000 2.8755933e-003 2.0176175e-003 3.3383016e-003 4.3835491e-003 -3.4199998e+000 3.2146776e-003 2.2177899e-003 3.7469612e-003 4.8079216e-003 -3.3799999e+000 3.5908490e-003 2.4734274e-003 4.1499916e-003 5.2968659e-003 -3.3399999e+000 3.9007931e-003 2.7651589e-003 4.5979097e-003 5.8722370e-003 -3.2999999e+000 4.4875676e-003 3.1176545e-003 5.1030773e-003 6.4829984e-003 -3.2600000e+000 4.7365832e-003 3.4850508e-003 5.6447806e-003 7.0969886e-003 -3.2200000e+000 5.2968659e-003 3.8847334e-003 6.2202225e-003 7.8073391e-003 -3.1799998e+000 5.7114498e-003 4.4403807e-003 6.9034323e-003 8.5314736e-003 -3.1399998e+000 6.4876354e-003 4.8718522e-003 7.5907251e-003 9.3155848e-003 -3.0999999e+000 7.0624887e-003 5.4279962e-003 8.4080808e-003 1.0239457e-002 -3.0599999e+000 8.0002686e-003 5.9652664e-003 9.2598759e-003 1.1179906e-002 -3.0200000e+000 8.9221532e-003 6.6570113e-003 1.0186434e-002 1.2191695e-002 -2.9800000e+000 9.5963487e-003 7.3868372e-003 1.1159167e-002 1.3299349e-002 -2.9400000e+000 1.0649364e-002 8.0825565e-003 1.2150333e-002 1.4484053e-002 -2.8999998e+000 1.1653371e-002 8.9339092e-003 1.3286206e-002 1.5813235e-002 -2.8599999e+000 1.2789833e-002 9.8571191e-003 1.4433154e-002 1.7093183e-002 -2.8199999e+000 1.3742182e-002 1.0760627e-002 1.5765721e-002 1.8490788e-002 -2.7800000e+000 1.5177992e-002 1.1666949e-002 1.7200980e-002 2.0023249e-002 -2.7400000e+000 1.6249552e-002 1.2804404e-002 1.8720899e-002 2.1582283e-002 -2.7000000e+000 1.8129084e-002 1.3856757e-002 2.0399690e-002 2.3288218e-002 -2.6599998e+000 1.9715894e-002 1.5154979e-002 2.2095699e-002 2.5141239e-002 -2.6199999e+000 2.1525227e-002 1.6562808e-002 2.3913715e-002 2.6961230e-002 -2.5799999e+000 2.3404760e-002 1.7970471e-002 2.5871838e-002 2.9018024e-002 -2.5399999e+000 2.5476351e-002 1.9571682e-002 2.7921205e-002 3.1241463e-002 -2.5000000e+000 2.7259193e-002 2.1220082e-002 3.0084340e-002 3.3438452e-002 -2.4600000e+000 2.9382443e-002 2.2954082e-002 3.2389790e-002 3.5760924e-002 -2.4200001e+000 3.1594437e-002 2.4874344e-002 3.4771144e-002 3.8402215e-002 -2.3799999e+000 3.4277972e-002 2.6872261e-002 3.7237559e-002 4.0868048e-002 -2.3399999e+000 3.6901902e-002 2.9085083e-002 3.9923117e-002 4.3811027e-002 -2.2999999e+000 4.0087435e-002 3.1418111e-002 4.2771522e-002 4.6675466e-002 -2.2600000e+000 4.3198805e-002 3.3851136e-002 4.5764890e-002 4.9669109e-002 -2.2200000e+000 4.6274405e-002 3.6457017e-002 4.8987180e-002 5.2779976e-002 -2.1800000e+000 4.9679812e-002 3.9290886e-002 5.2451126e-002 5.6031469e-002 -2.1399998e+000 5.3963404e-002 4.2416990e-002 5.5875711e-002 5.9196539e-002 -2.0999999e+000 5.7318479e-002 4.5507487e-002 5.9604421e-002 6.2771700e-002 -2.0599999e+000 6.1135829e-002 4.9066711e-002 6.3435346e-002 6.6474453e-002 -2.0200000e+000 6.5374382e-002 5.2320797e-002 6.7363992e-002 7.0335343e-002 -1.9800000e+000 6.9926851e-002 5.6417126e-002 7.1460634e-002 7.4209891e-002 -1.9399999e+000 7.5401209e-002 6.0227185e-002 7.5898387e-002 7.8396432e-002 -1.9000000e+000 7.9508632e-002 6.4381465e-002 8.0330022e-002 8.2476124e-002 -1.8600000e+000 8.4008120e-002 6.8725653e-002 8.4940806e-002 8.6831674e-002 -1.8199999e+000 8.9188427e-002 7.3595181e-002 8.9686997e-002 9.1103032e-002 -1.7800000e+000 9.2719674e-002 7.8184403e-002 9.4741985e-002 9.5594920e-002 -1.7400000e+000 9.8297335e-002 8.3332933e-002 9.9902824e-002 1.0003870e-001 -1.6999999e+000 1.0433861e-001 8.8516213e-002 1.0539197e-001 1.0481998e-001 -1.6599999e+000 1.0986064e-001 9.4111763e-002 1.1099179e-001 1.0993574e-001 -1.6200000e+000 1.1553103e-001 9.9751525e-002 1.1668198e-001 1.1533269e-001 -1.5799999e+000 1.2192196e-001 1.0572094e-001 1.2246389e-001 1.2055685e-001 -1.5399999e+000 1.2821490e-001 1.1194416e-001 1.2873589e-001 1.2619321e-001 -1.5000000e+000 1.3441114e-001 1.1828046e-001 1.3517928e-001 1.3217913e-001 -1.4600000e+000 1.4088552e-001 1.2486131e-001 1.4160672e-001 1.3817157e-001 -1.4199999e+000 1.4783674e-001 1.3243192e-001 1.4843300e-001 1.4440231e-001 -1.3800000e+000 1.5460519e-001 1.3956562e-001 1.5516531e-001 1.5058461e-001 -1.3400000e+000 1.6038948e-001 1.4677000e-001 1.6223423e-001 1.5716092e-001 -1.2999999e+000 1.6712613e-001 1.5437323e-001 1.6912568e-001 1.6385646e-001 -1.2600000e+000 1.7409062e-001 1.6213739e-001 1.7624585e-001 1.7080419e-001 -1.2200000e+000 1.8178757e-001 1.7029363e-001 1.8348160e-001 1.7808552e-001 -1.1799999e+000 1.8850832e-001 1.7877801e-001 1.9098042e-001 1.8529116e-001 -1.1400000e+000 1.9616683e-001 1.8729834e-001 1.9843288e-001 1.9284400e-001 -1.1000000e+000 2.0332338e-001 1.9638442e-001 2.0581435e-001 1.9992788e-001 -1.0599999e+000 2.1173029e-001 2.0551336e-001 2.1306831e-001 2.0749892e-001 -1.0200000e+000 2.1824308e-001 2.1495837e-001 2.2074993e-001 2.1475106e-001 -9.8000000e-001 2.2642481e-001 2.2425257e-001 2.2836684e-001 2.2243702e-001 -9.3999998e-001 2.3384626e-001 2.3353183e-001 2.3612608e-001 2.2977951e-001 -8.9999996e-001 2.4188758e-001 2.4284077e-001 2.4396272e-001 2.3721835e-001 -8.6000000e-001 2.4842423e-001 2.5321329e-001 2.5151601e-001 2.4462293e-001 -8.1999997e-001 2.5875437e-001 2.6255515e-001 2.5874603e-001 2.5180262e-001 -7.7999995e-001 2.6618776e-001 2.7198264e-001 2.6621008e-001 2.5901732e-001 -7.3999999e-001 2.7402508e-001 2.8157783e-001 2.7328491e-001 2.6640904e-001 -6.9999997e-001 2.8284261e-001 2.9105863e-001 2.8070015e-001 2.7380082e-001 -6.6000001e-001 2.8961501e-001 3.0077597e-001 2.8787932e-001 2.8104371e-001 -6.1999999e-001 2.9803914e-001 3.0989236e-001 2.9482657e-001 2.8822577e-001 -5.7999996e-001 3.0604073e-001 3.1924364e-001 3.0161729e-001 2.9539821e-001 -5.4000000e-001 3.1215486e-001 3.2763433e-001 3.0809820e-001 3.0220604e-001 -4.9999998e-001 3.2058957e-001 3.3627501e-001 3.1469765e-001 3.0867738e-001 -4.5999999e-001 3.2683083e-001 3.4429798e-001 3.2096997e-001 3.1571910e-001 -4.2000000e-001 3.3274099e-001 3.5230306e-001 3.2688040e-001 3.2188949e-001 -3.7999998e-001 3.3839548e-001 3.6007154e-001 3.3238250e-001 3.2814375e-001 -3.3999998e-001 3.4477052e-001 3.6801982e-001 3.3775225e-001 3.3374229e-001 -2.9999999e-001 3.4936273e-001 3.7506211e-001 3.4272632e-001 3.3934918e-001 -2.6000000e-001 3.5319600e-001 3.8218680e-001 3.4779835e-001 3.4469762e-001 -2.1999999e-001 3.5722527e-001 3.8792658e-001 3.5226911e-001 3.4925961e-001 -1.7999999e-001 3.6156574e-001 3.9397895e-001 3.5627803e-001 3.5349521e-001 -1.4000000e-001 3.6459899e-001 3.9972118e-001 3.6040598e-001 3.5750642e-001 -1.0000000e-001 3.6955282e-001 4.0434599e-001 3.6393881e-001 3.6088210e-001 -5.9999998e-002 3.7377414e-001 4.0839282e-001 3.6664209e-001 3.6417064e-001 -1.9999999e-002 3.7567091e-001 4.1177115e-001 3.6899248e-001 3.6698928e-001 2.0000000e-002 3.7596759e-001 4.1460514e-001 3.7103334e-001 3.6940145e-001 5.9999999e-002 3.7584305e-001 4.1702494e-001 3.7234804e-001 3.7041301e-001 9.9999998e-002 3.7826172e-001 4.1977134e-001 3.7338543e-001 3.7159732e-001 1.4000000e-001 3.7895179e-001 4.1968298e-001 3.7420839e-001 3.7199071e-001 1.8000000e-001 3.7854648e-001 4.1969386e-001 3.7421718e-001 3.7203661e-001 2.1999999e-001 3.7905249e-001 4.1898227e-001 3.7354341e-001 3.7160099e-001 2.5999999e-001 3.7762460e-001 4.1746303e-001 3.7241840e-001 3.7021133e-001 3.0000000e-001 3.7438211e-001 4.1482964e-001 3.7065524e-001 3.6803919e-001 3.3999999e-001 3.7365493e-001 4.1217971e-001 3.6787975e-001 3.6608079e-001 3.7999998e-001 3.7168667e-001 4.0768388e-001 3.6482781e-001 3.6259866e-001 4.1999998e-001 3.6718321e-001 4.0219364e-001 3.6116770e-001 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