% Spectral simulation Chan180_S3_B3 % % Papers: % % 1. A.W. Vreman and J.G.M. Kuerten, Comparison of DNS databases of turbulent % channel flow at Re_tau=180, Phys. Fluids 26, 015102 (2014). % 2. A.W. Vreman and J.G.M. Kuerten, Statistics of spatial derivatives of % velocity and pressure in turbulent channel flow, Phys. Fluids 26, % 085103 (2014). % 3. A.W. Vreman and J.G.M. Kuerten, A third-order multistep time % discretization for a Cheyshev tau spectral method. % % The simulations "*_B3" were performed with a modified spectral method: % - The time discretization scheme was replaced by the third-order time % discretization scheme B3, defined in Ref. 3 mentioned above. % - The right-hand side of the pressure Poisson equation was -u_{i,k}u_{k,i} % (instead of minus the divergence of the rotational form of the % convective terms). Thus the Laplacian of the pressure is zero to % machine precision at the walls, which leads to improved behaviour of % higher-order moments of pressure derivatives in the first few grid % points of the wall. The pressure Poisson equation was used for % post-processing only. % % Parameters: H=1; nu=1/180; forcing=1 % Domain: 4pi x 2 x 2pi/3 % Resolution: 384 x 385 x 192 % Averaging time: 200 % Computed u_tau: 0.99998 % % Creation date of the columns in this datafile: 24 August 2014 % % Data format: 192 rows, 150 columns % % Statistics of terms in the velocity gradient, strain-rate % and vorticity equations. Summation over index k. % % Description of columns: % % Column 1: y+ (=180*y) % % Profiles of the MEAN of: % % Column 2: -u_k u_{1,1k} (term2) % Column 3: -u_{1,k} u_{k,1} (term3) % Column 4: -p_{,11} (term4) % Column 5: nu*u_{1,1kk} (term5) % Column 6: term4+term5 % Column 7: term3+term4+term5 % Column 8: term2+term3+term4+term5 (approximately du_{1,1}/dt) % % Column 12: -u_k u_{1,2k} (term2) % Column 13: -u_{1,k} u_{k,2} (term3) % Column 14: -p_{,12} (term4) % Column 15: nu*u_{1,2kk} (term5) % Column 16: term4+term5 % Column 17: term3+term4+term5 % Column 18: term2+term3+term4+term5 (approximately du_{1,2}/dt) % % Column 22: -u_k u_{1,3k} (term2) % Column 23: -u_{1,k} u_{k,3} (term3) % Column 24: -p_{,13} (term4) % Column 25: nu*u_{1,3kk} (term5) % Column 26: term4+term5 % Column 27: term3+term4+term5 % Column 28: term2+term3+term4+term5 (approximately du_{1,3}/dt) % % Column 32: -u_k u_{2,1k} (term2) % Column 33: -u_{2,k} u_{k,1} (term3) % Column 34: -p_{,21} (term4) % Column 35: nu*u_{2,1kk} (term5) % Column 36: term4+term5 % Column 37: term3+term4+term5 % Column 38: term2+term3+term4+term5 (approximately du_{2,1}/dt) % % Column 42: -u_k u_{2,2k} (term2) % Column 43: -u_{2,k} u_{k,2} (term3) % Column 44: -p_{,22} (term4) % Column 45: nu*u_{2,2kk} (term5) % Column 46: term4+term5 % Column 47: term3+term4+term5 % Column 48: term2+term3+term4+term5 (approximately du_{2,2}/dt) % % Column 52: -u_k u_{2,3k} (term2) % Column 53: -u_{2,k} u_{k,3} (term3) % Column 54: -p_{,23} (term4) % Column 55: nu*u_{2,3kk} (term5) % Column 56: term4+term5 % Column 57: term3+term4+term5 % Column 58: term2+term3+term4+term5 (approximately du_{2,3}/dt) % % Column 62: -u_k u_{3,1k} (term2) % Column 63: -u_{3,k} u_{k,1} (term3) % Column 64: -p_{,31} (term4) % Column 65: nu*u_{3,1kk} (term5) % Column 66: term4+term5 % Column 67: term3+term4+term5 % Column 68: term2+term3+term4+term5 (approximately du_{3,1}/dt) % % Column 72: -u_k u_{3,2k} (term2) % Column 73: -u_{3,k} u_{k,2} (term3) % Column 74: -p_{,32} (term4) % Column 75: nu*u_{3,2kk} (term5) % Column 76: term4+term5 % Column 77: term3+term4+term5 % Column 78: term2+term3+term4+term5 (approximately du_{3,2}/dt) % % Column 82: -u_k u_{3,3k} (term2) % Column 83: -u_{3,k} u_{k,3} (term3) % Column 84: -p_{,33} (term4) % Column 85: nu*u_{3,3kk} (term5) % Column 86: term4+term5 % Column 87: term3+term4+term5 % Column 88: term2+term3+term4+term5 (approximately du_{3,3}/dt) % % strain-rate s12 % Column 92: -u_k (u_{1,2k}+u_{2,1k})/2 (term2) % Column 93: -u_{1,k} u_{k,2}/2-u_{2,k} u_{k,1}/2 (term3) % Column 94: -p_{,12} (term4) % Column 95: nu*(u_{1,2kk}+u_{2,1kk})/2 (term5) % Column 96: term4+term5 % Column 97: term3+term4+term5 % Column 98: term2+term3+term4+term5 (approximately d(u_{1,2}/2+u_{2,1}/2)/dt) % % strain-rate s13 % Column 102: -u_k (u_{1,3k}+u_{3,1k})/2 (term2) % Column 103: -u_{1,k} u_{k,3}/2-u_{3,k} u_{k,1}/2 (term3) % Column 104: -p_{,13} (term4) % Column 105: nu*(u_{1,3kk}+u_{3,1kk})/2 (term5) % Column 106: term4+term5 % Column 107: term3+term4+term5 % Column 108: term2+term3+term4+term5 (approximately d(u_{1,3}/2+u_{3,1}/2)/dt) % % strain-rate s23 % Column 112: -u_k (u_{2,3k}+u_{3,2k})/2 (term2) % Column 113: -u_{2,k} u_{k,3}/2-u_{3,k} u_{k,2}/2 (term3) % Column 114: -p_{,23} (term4) % Column 115: nu*(u_{2,3kk}+u_{3,2kk})/2 (term5) % Column 116: term4+term5 % Column 117: term3+term4+term5 % Column 118: term2+term3+term4+term5 (approximately d(u_{2,3}/2+u_{3,2}/2)/dt) % % vorticity vor1 % Column 122: -u_k (u_{3,2k}-u_{2,3k}) (term2) % Column 123: -u_{3,k} u_{k,2}+u_{2,k} u_{k,3} (term3) % Column 124: 0 (term4) % Column 125: nu*(u_{3,2kk}-u_{2,3kk}) (term5) % Column 126: term4+term5 % Column 127: term3+term4+term5 % Column 128: term2+term3+term4+term5 (approximately d(u_{3,2}-u_{2,3})/dt) % % vorticity vor2 % Column 132: -u_k (u_{1,3k}-u_{3,1k}) (term2) % Column 133: -u_{1,k} u_{k,3}+u_{3,k} u_{k,1} (term3) % Column 134: 0 (term4) % Column 135: nu*(u_{1,3kk}-u_{3,1kk}) (term5) % Column 136: term4+term5 % Column 137: term3+term4+term5 % Column 138: term2+term3+term4+term5 (approximately d(u_{1,3}-u_{3,1})/dt) % % vorticity vor3 % Column 142: -u_k (u_{2,1k}-u_{1,2k}) (term2) % Column 143: -u_{2,k} u_{k,1}+u_{1,k} u_{k,2} (term3) % Column 144: 0 (term4) % Column 145: nu*(u_{2,1kk}-u_{1,2kk}) (term5) % Column 146: term4+term5 % Column 147: term3+term4+term5 % Column 148: term2+term3+term4+term5 (approximately d(u_{2,1}-u_{1,2})/dt) % 0.60238948680036E-02 0.11615676754095E-04 -0.11615676754186E-04 0.47819924755020E-19 0.49017665779251E-18 0.17817319745400E-18 -0.11615676754186E-04 -0.91144111572390E-16 0.12032222748788E-06 0.15498543479664E-05 0.00000000000000E+00 0.29074512798976E+00 0.58088236792197E+00 -0.88469668554183E-18 -0.88227124654201E+00 -0.88227124654200E+00 -0.30138887862003E+00 -0.10643750630270E-01 -0.88062578876920E-02 -0.10023714448335E+02 0.00000000000000E+00 -0.78317687425379E-06 0.78317687595365E-06 -0.17539550976143E-17 -0.18933421556119E-18 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