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 transversal velocity diferences, dy/L=4/9. Only positive half is included, containing the average of the positive and negative tails. 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 2.0000000e-002 3.7563810e-001 3.7921235e-001 3.7531164e-001 3.7672257e-001 5.9999999e-002 3.7544605e-001 3.7871070e-001 3.7470594e-001 3.7582529e-001 9.9999998e-002 3.7372348e-001 3.7704490e-001 3.7351954e-001 3.7466255e-001 1.4000000e-001 3.7141213e-001 3.7532640e-001 3.7156436e-001 3.7285870e-001 1.8000000e-001 3.6882496e-001 3.7312665e-001 3.6913130e-001 3.7052041e-001 2.1999999e-001 3.6593017e-001 3.6971675e-001 3.6607847e-001 3.6795524e-001 2.5999999e-001 3.6232010e-001 3.6596320e-001 3.6243391e-001 3.6458015e-001 3.0000000e-001 3.5805273e-001 3.6165510e-001 3.5809928e-001 3.6081398e-001 3.3999999e-001 3.5361585e-001 3.5719280e-001 3.5328636e-001 3.5656121e-001 3.7999998e-001 3.4903255e-001 3.5159030e-001 3.4792089e-001 3.5168862e-001 4.1999998e-001 3.4276643e-001 3.4591460e-001 3.4201008e-001 3.4637961e-001 4.6000000e-001 3.3693349e-001 3.3985715e-001 3.3578393e-001 3.4050557e-001 4.9999999e-001 3.3053228e-001 3.3339760e-001 3.2917595e-001 3.3452609e-001 5.3999998e-001 3.2318071e-001 3.2673425e-001 3.2230002e-001 3.2812786e-001 5.8000000e-001 3.1601590e-001 3.1951555e-001 3.1502935e-001 3.2132134e-001 6.1999996e-001 3.0852494e-001 3.1192480e-001 3.0758774e-001 3.1422028e-001 6.5999999e-001 3.0046737e-001 3.0443185e-001 2.9980597e-001 3.0665147e-001 7.0000001e-001 2.9233134e-001 2.9609250e-001 2.9188582e-001 2.9894084e-001 7.3999997e-001 2.8382441e-001 2.8825005e-001 2.8378934e-001 2.9102936e-001 7.7999999e-001 2.7526852e-001 2.7954615e-001 2.7554390e-001 2.8301242e-001 8.1999995e-001 2.6695797e-001 2.7113700e-001 2.6728478e-001 2.7452514e-001 8.5999997e-001 2.5830469e-001 2.6291575e-001 2.5901359e-001 2.6587588e-001 8.9999999e-001 2.4969845e-001 2.5424315e-001 2.5048068e-001 2.5739428e-001 9.3999996e-001 2.4096537e-001 2.4604235e-001 2.4201295e-001 2.4863875e-001 9.7999998e-001 2.3280881e-001 2.3747385e-001 2.3365909e-001 2.3989941e-001 1.0200000e+000 2.2463238e-001 2.2883370e-001 2.2528836e-001 2.3113783e-001 1.0600000e+000 2.1529929e-001 2.2034180e-001 2.1710359e-001 2.2251084e-001 1.0999999e+000 2.0708211e-001 2.1188420e-001 2.0896634e-001 2.1395557e-001 1.1400000e+000 1.9936033e-001 2.0373735e-001 2.0096268e-001 2.0537758e-001 1.1800000e+000 1.9116239e-001 1.9525435e-001 1.9295086e-001 1.9699830e-001 1.2199999e+000 1.8374856e-001 1.8726400e-001 1.8510562e-001 1.8868549e-001 1.2600000e+000 1.7598307e-001 1.7938270e-001 1.7733571e-001 1.8053289e-001 1.3000000e+000 1.6907257e-001 1.7165220e-001 1.6990775e-001 1.7258583e-001 1.3399999e+000 1.6106336e-001 1.6392195e-001 1.6246428e-001 1.6473088e-001 1.3800000e+000 1.5416312e-001 1.5645310e-001 1.5528041e-001 1.5713209e-001 1.4200000e+000 1.4766024e-001 1.4932185e-001 1.4828597e-001 1.4965406e-001 1.4599999e+000 1.4097030e-001 1.4225745e-001 1.4157131e-001 1.4224043e-001 1.5000000e+000 1.3394721e-001 1.3548825e-001 1.3494913e-001 1.3507922e-001 1.5400000e+000 1.2789536e-001 1.2867410e-001 1.2846185e-001 1.2818569e-001 1.5799999e+000 1.2199548e-001 1.2218825e-001 1.2219417e-001 1.2130057e-001 1.6199999e+000 1.1598138e-001 1.1593420e-001 1.1613801e-001 1.1477101e-001 1.6600000e+000 1.1011827e-001 1.0983725e-001 1.1036915e-001 1.0843238e-001 1.6999999e+000 1.0469225e-001 1.0389015e-001 1.0464486e-001 1.0235993e-001 1.7399999e+000 9.9377513e-002 9.8206600e-002 9.9170469e-002 9.6443094e-002 1.7800000e+000 9.4481647e-002 9.2573650e-002 9.3997821e-002 9.0922676e-002 1.8200000e+000 8.9251675e-002 8.7349700e-002 8.8956080e-002 8.5588157e-002 1.8599999e+000 8.4544562e-002 8.2385750e-002 8.4129386e-002 8.0513328e-002 1.9000000e+000 8.0001026e-002 7.7437100e-002 7.9467550e-002 7.5655431e-002 1.9400000e+000 7.5655520e-002 7.2835800e-002 7.5021066e-002 7.1016744e-002 1.9799999e+000 7.1186826e-002 6.8497850e-002 7.0910133e-002 6.6733889e-002 2.0200000e+000 6.7356564e-002 6.4171950e-002 6.6855669e-002 6.2570281e-002 2.0600000e+000 6.3372985e-002 6.0264700e-002 6.2991500e-002 5.8701914e-002 2.0999999e+000 5.9788764e-002 5.6519800e-002 5.9324559e-002 5.4881334e-002 2.1399999e+000 5.6189638e-002 5.2913500e-002 5.5798039e-002 5.1339064e-002 2.1799998e+000 5.2874953e-002 4.9607875e-002 5.2441932e-002 4.7977205e-002 2.2200000e+000 4.9879819e-002 4.6379705e-002 4.9236335e-002 4.4694915e-002 2.2600000e+000 4.6821106e-002 4.3275745e-002 4.6231829e-002 4.1731104e-002 2.3000000e+000 4.3917041e-002 4.0423625e-002 4.3347217e-002 3.8839255e-002 2.3399999e+000 4.1288804e-002 3.7658215e-002 4.0588059e-002 3.6101602e-002 2.3799999e+000 3.8625468e-002 3.5044765e-002 3.8019411e-002 3.3532921e-002 2.4199999e+000 3.6117107e-002 3.2538055e-002 3.5565097e-002 3.1100214e-002 2.4600001e+000 3.3772323e-002 3.0205445e-002 3.3249367e-002 2.8832644e-002 2.5000000e+000 3.1376880e-002 2.8003795e-002 3.1023040e-002 2.6729019e-002 2.5400000e+000 2.9364230e-002 2.5907945e-002 2.8936187e-002 2.4740599e-002 2.5799999e+000 2.7406218e-002 2.3933170e-002 2.7020404e-002 2.2944776e-002 2.6199999e+000 2.5241576e-002 2.2156620e-002 2.5150362e-002 2.1223925e-002 2.6599999e+000 2.3749143e-002 2.0452470e-002 2.3469586e-002 1.9624565e-002 2.6999998e+000 2.2052728e-002 1.8837880e-002 2.1775370e-002 1.8141309e-002 2.7400000e+000 2.0348033e-002 1.7330135e-002 2.0261845e-002 1.6768882e-002 2.7800000e+000 1.8915204e-002 1.5917875e-002 1.8825078e-002 1.5515772e-002 2.8200000e+000 1.7519131e-002 1.4674045e-002 1.7481526e-002 1.4289608e-002 2.8599999e+000 1.6211472e-002 1.3478765e-002 1.6236957e-002 1.3155413e-002 2.8999999e+000 1.5060108e-002 1.2309065e-002 1.5061367e-002 1.2120496e-002 2.9399998e+000 1.3949144e-002 1.1319710e-002 1.3969158e-002 1.1160038e-002 2.9800000e+000 1.2863676e-002 1.0303325e-002 1.2957931e-002 1.0298332e-002 3.0200000e+000 1.1901724e-002 9.4821500e-003 1.2007806e-002 9.4950041e-003 3.0600000e+000 1.1111300e-002 8.6861750e-003 1.1126090e-002 8.7941680e-003 3.0999999e+000 1.0264252e-002 7.9087100e-003 1.0282786e-002 8.1524095e-003 3.1399999e+000 9.5321080e-003 7.2430400e-003 9.4915796e-003 7.5059631e-003 3.1799998e+000 8.7294318e-003 6.6344950e-003 8.7837102e-003 6.9251596e-003 3.2199998e+000 8.1459684e-003 6.0240000e-003 8.0722161e-003 6.3770604e-003 3.2600000e+000 7.4558794e-003 5.5303200e-003 7.4639362e-003 5.8713215e-003 3.3000000e+000 6.8803635e-003 5.0839850e-003 6.8584341e-003 5.4178447e-003 3.3399999e+000 6.3012051e-003 4.6212645e-003 6.3218083e-003 4.9949777e-003 3.3799999e+000 5.7366169e-003 4.2248930e-003 5.7944730e-003 4.6101706e-003 3.4199999e+000 5.1985192e-003 3.8339865e-003 5.3279288e-003 4.2164852e-003 3.4599998e+000 4.9365894e-003 3.4795040e-003 4.8696627e-003 3.8797192e-003 3.5000000e+000 4.5100856e-003 3.1934845e-003 4.4769710e-003 3.5583817e-003 3.5400000e+000 4.1123899e-003 2.9186000e-003 4.0808488e-003 3.2746077e-003 3.5799999e+000 3.7464835e-003 2.6252540e-003 3.7287581e-003 3.0200928e-003 3.6199999e+000 3.4487911e-003 2.3978455e-003 3.3948985e-003 2.7623649e-003 3.6599999e+000 3.1216277e-003 2.1730445e-003 3.0873274e-003 2.5448699e-003 3.6999998e+000 2.8646656e-003 1.9518455e-003 2.8092554e-003 2.3292531e-003 3.7400000e+000 2.6133328e-003 1.7709615e-003 2.5710114e-003 2.1305711e-003 3.7800000e+000 2.3865039e-003 1.5740595e-003 2.3408253e-003 1.9453155e-003 3.8200000e+000 2.1321906e-003 1.4274900e-003 2.1251722e-003 1.7633041e-003 3.8599999e+000 1.8984081e-003 1.2720625e-003 1.9170528e-003 1.6170243e-003 3.8999999e+000 1.7113158e-003 1.1507835e-003 1.7364359e-003 1.4685715e-003 3.9399998e+000 1.5828345e-003 1.0326090e-003 1.5783089e-003 1.3355321e-003 3.9799998e+000 1.3927621e-003 9.1174400e-004 1.4181674e-003 1.2207155e-003 4.0200000e+000 1.2503731e-003 8.2126100e-004 1.2708391e-003 1.1233768e-003 4.0600000e+000 1.1397734e-003 7.2572800e-004 1.1397365e-003 1.0184322e-003 4.0999999e+000 1.0553334e-003 6.3992200e-004 1.0215758e-003 9.3911466e-004 4.1399999e+000 9.2983246e-004 5.5982850e-004 9.1069087e-004 8.6872216e-004 4.1799998e+000 8.5963152e-004 4.9575345e-004 8.0942741e-004 7.6865155e-004 4.2199998e+000 7.9837116e-004 4.3602460e-004 7.2290865e-004 7.0671859e-004 4.2599998e+000 7.2717672e-004 3.9185920e-004 6.4444763e-004 6.4843334e-004 4.2999997e+000 6.5565115e-004 3.4876995e-004 5.7084323e-004 5.9168471e-004 4.3399997e+000 5.8743695e-004 3.0737785e-004 5.1116501e-004 5.4809882e-004 4.3800001e+000 5.2220299e-004 2.7066305e-004 4.5071414e-004 4.9926649e-004 4.4200001e+000 4.6458514e-004 2.3369985e-004 4.0045491e-004 4.5878501e-004 4.4600001e+000 4.3710074e-004 2.0178660e-004 3.5625731e-004 4.1819489e-004 4.5000000e+000 3.5067403e-004 1.6875565e-004 3.1345786e-004 3.7965365e-004 4.5400000e+000 2.9636757e-004 1.4669365e-004 2.7817339e-004 3.4056915e-004 4.5799999e+000 2.3212699e-004 1.2467305e-004 2.4630147e-004 3.1366944e-004 4.6199999e+000 2.1523901e-004 9.9630850e-005 2.2064756e-004 2.7984689e-004 4.6599999e+000 1.9338397e-004 9.1890500e-005 1.9195823e-004 2.5046366e-004 4.6999998e+000 1.7252234e-004 7.8065550e-005 1.7221879e-004 2.2272579e-004 4.7399998e+000 1.5298527e-004 6.6061800e-005 1.5163311e-004 1.9618310e-004 4.7799998e+000 1.2483863e-004 5.8776800e-005 1.3340218e-004 1.7547670e-004 4.8199997e+000 1.1457338e-004 5.0415600e-005 1.2017510e-004 1.5529804e-004 4.8599997e+000 1.1622906e-004 4.3751470e-005 1.0473124e-004 1.3966733e-004 4.9000001e+000 9.0069254e-005 3.8577450e-005 9.0915484e-005 1.2583719e-004 4.9400001e+000 9.2056078e-005 3.0547385e-005 8.0613441e-005 1.1605831e-004 4.9800000e+000 8.2121958e-005 2.6780700e-005 7.0578157e-005 9.9154808e-005 5.0200000e+000 6.2916020e-005 2.2062000e-005 6.1370709e-005 8.7730587e-005 5.0600000e+000 6.2916013e-005 1.8957590e-005 5.4775563e-005 7.6616801e-005 5.0999999e+000 6.1591469e-005 1.4983945e-005 4.9734925e-005 6.5782413e-005 5.1399999e+000 5.2319636e-005 1.4280280e-005 4.2597083e-005 5.7509169e-005 5.1799998e+000 5.2981912e-005 1.1175870e-005 3.7905978e-005 4.8164900e-005 5.2199998e+000 4.0398707e-005 9.5201900e-006 3.2948123e-005 4.1614596e-005 5.2599998e+000 3.8743023e-005 8.1542500e-006 2.9268824e-005 3.5964571e-005 5.2999997e+000 3.4769379e-005 6.5813450e-006 2.5120415e-005 3.1990930e-005 5.3399997e+000 3.4769379e-005 5.6707200e-006 2.2029801e-005 2.7520582e-005 5.3799997e+000 2.8477778e-005 4.6773095e-006 1.8184935e-005 2.2180999e-005 5.4200001e+000 2.6822092e-005 4.0978200e-006 1.6805199e-005 1.9480163e-005 5.4600001e+000 2.0199353e-005 2.6490955e-006 1.4468844e-005 1.6546497e-005 5.5000000e+000 1.9205943e-005 2.4835270e-006 1.2665987e-005 1.3426567e-005 5.5400000e+000 2.0861627e-005 2.4007430e-006 1.0522795e-005 9.7633647e-006 5.5799999e+000 1.2252068e-005 1.8626455e-006 9.0234807e-006 8.3819032e-006 5.6199999e+000 1.4901162e-005 1.5315085e-006 7.8001140e-006 7.4505806e-006 5.6599999e+000 1.7550257e-005 1.4487240e-006 6.7515134e-006 6.4106039e-006 5.6999998e+000 1.2583204e-005 1.0348030e-006 6.2824033e-006 5.1998845e-006 5.7399998e+000 1.0927518e-005 1.1589790e-006 5.6385256e-006 5.3085387e-006 5.7799998e+000 1.0596382e-005 9.5201900e-007 4.6635114e-006 4.4082599e-006 5.8199997e+000 8.9406976e-006 9.1062650e-007 4.2955817e-006 3.3372391e-006 5.8599997e+000 5.9604649e-006 9.9341100e-007 3.5321270e-006 2.5921811e-006 5.8999996e+000 3.3113693e-006 8.2784250e-007 2.2903635e-006 2.1730859e-006 5.9400001e+000 3.6425063e-006 4.1392120e-007 1.7752618e-006 1.4280280e-006 5.9800000e+000 1.3245477e-006 4.1392120e-007 1.4441249e-006 1.1020650e-006 6.0200000e+000 6.6227386e-007 4.9670540e-007 7.8185099e-007 8.6923438e-007 6.0600000e+000 4.9999999e-015 1.2417635e-007 6.6227381e-007 8.8475645e-007 6.0999999e+000 4.9999999e-015 2.8974480e-007 4.6911063e-007 7.6058012e-007 6.1399999e+000 4.9999999e-015 3.7252905e-007 3.6792989e-007 5.5879354e-007 6.1799998e+000 4.9999999e-015 4.9670540e-007 3.9552464e-007 4.6566129e-007 6.2199998e+000 4.9999999e-015 2.8974480e-007 2.9434392e-007 3.7252903e-007 6.2599998e+000 4.9999999e-015 2.8974480e-007 2.6674917e-007 3.7252903e-007 6.2999997e+000 4.9999999e-015 2.0696060e-007 7.3585980e-008 1.7074247e-007 6.3399997e+000 4.9999999e-015 2.4835270e-007 9.1982502e-009 2.7939677e-007 6.3799997e+000 4.9999999e-015 2.0696060e-007 1.8396500e-008 3.4148493e-007 6.4199996e+000 4.9999999e-015 2.4835270e-007 4.9999999e-015 1.2417634e-007 6.4600001e+000 4.9999999e-015 1.6556845e-007 4.9999999e-015 1.5522042e-007 6.5000000e+000 4.9999999e-015 2.0696060e-007 4.9999999e-015 2.0178656e-007 6.5400000e+000 4.9999999e-015 2.0696060e-007 4.9999999e-015 1.0865430e-007 6.5799999e+000 4.9999999e-015 2.4835270e-007 4.9999999e-015 2.6387471e-007 6.6199999e+000 4.9999999e-015 1.2417635e-007 4.9999999e-015 6.2088169e-008 6.6599999e+000 4.9999999e-015 1.6556845e-007 4.9999999e-015 1.3969839e-007 6.6999998e+000 4.9999999e-015 1.2417635e-007 4.9999999e-015 1.3969839e-007 6.7399998e+000 4.9999999e-015 8.2784250e-008 4.9999999e-015 7.7610210e-008 6.7799998e+000 4.9999999e-015 1.6556845e-007 4.9999999e-015 6.2088169e-008 6.8199997e+000 4.9999999e-015 1.6556845e-007 4.9999999e-015 4.6566129e-008 6.8599997e+000 4.9999999e-015 4.1392115e-008 4.9999999e-015 3.1044085e-008 6.8999996e+000 4.9999999e-015 4.1392115e-008 4.9999999e-015 1.5522042e-008