% 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, 11 columns % % Budget of A_{ij}=< u'_{i,j} u'_{i,j} > = < (du'_i / dx_j)^2 > % i=3, j=2, summation over k % % Description of columns: % % Column 1: y+ (=180*y) % Column 2: M1_{ij} -2 _{i,k} % Column 3: M2_{ij} -2 _{k,j} % Column 4: M3_{ij} -2 _{i,jk} % Column 5: G_{ij} -2 % Column 6: Pi_{ij} 2 % Column 7: -2*nu*B_{ij} -2*nu* % Column 8: Tt_{ij} -_{,k} % Column 9: Tp_{ij} -2_{,i} % Column 10: Tv_{ij} nu*A_{ij,kk} % Column 11: total (M1+M2+M3+G+Pi-2*nu*B+Tt+Tp+Tv)_{ij} 0.60238948680036E-02 -0.41127082004589E-06 -0.44154412012033E-01 0.14678308910989E-14 -0.62084326569340E+01 -0.35455486227283E+04 -0.64834727709629E+05 -0.21048079775980E+01 0.00000000000000E+00 0.68385695558405E+05 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