% Spectral simulation Chan180_S2_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 193 x 192 % Averaging time: 200 % Computed u_tau: 0.99997 % % Creation date of the columns in this datafile: 31 August 2014 % % Data format: 96 rows, 88 columns % % Description of columns: % % Column 1: y+ (=180*y) % % Profiles of the SKEWNESS of (the fluctuation of): % % Column 2: u1 (streamwise velocity) % Column 3: u2 (normal velocity) % Column 4: u3 (spanwise velocity) % Column 5: p (pressure) % % Column 6: du1/dx1 % Column 7: du1/dx2 % Column 8: du1/dx3 % Column 9: du2/dx1 % Column 10: du2/dx2 % Column 11: du2/dx3 % Column 12: du3/dx1 % Column 13: du3/dx2 % Column 14: du3/dx3 % Column 15: dp/dx1 -1 % Column 16: dp/dx2 % Column 17: dp/dx3 % Column 18: (du1/dx2 + du2/dx1)/2, (s12, strain rate component) % Column 19: (du1/dx3 + du3/dx1)/2, (s13, strain rate component) % Column 20: (du2/dx3 + du3/dx2)/2, (s23, strain rate component) % Column 21: du3/dx2 - du2/dx3 (vor1, streamwise vorticity) % Column 22: du1/dx3 - du3/dx1 (vor2, normal vorticity) % Column 23: du2/dx1 - du1/dx2 (vor3, streamwise vorticity) % % Column 24: d2u1/dx1dx1 (second-order derivative of streamwise velocity) % Column 25: d2u1/dx2dx2 % Column 26: d2u1/dx3dx3 % Column 27: d2u1/dx1dx2 % Column 28: d2u1/dx1dx3 % Column 29: d2u1/dx2dx3 % Column 30: d2u2/dx1dx1 (second-order derivative of normal velocity) % Column 31: d2u2/dx2dx2 % Column 32: d2u2/dx3dx3 % Column 33: d2u2/dx1dx2 % Column 34: d2u2/dx1dx3 % Column 35: d2u2/dx2dx3 % Column 36: d2u3/dx1dx1 (second-order derivative of spanwise velocity) % Column 37: d2u3/dx2dx2 % Column 38: d2u3/dx3dx3 % Column 39: d2u3/dx1dx2 % Column 40: d2u3/dx1dx3 % Column 41: d2u3/dx2dx3 % Column 42: d2p/dx1dx1 (second-order derivative of pressure) % Column 43: d2p/dx2dx2 % Column 44: d2p/dx3dx3 % Column 45: d2p/dx1dx2 % Column 46: d2p/dx1dx3 % Column 47: d2p/dx2dx3 % Column 48: Laplacian(u1) % Column 49: Laplacian(u2) % Column 50: Laplacian(u3) % Column 51: Laplacian(p) % % Column 52: u1*u1 % Column 53: u2*u2 % Column 54: u3*u3 % Column 55: u1*u2 % Column 56: u1*u3 % Column 57: u2*u3 % Column 58: u1^2+u2^2+u3^2 % Column 59: (du1/dx1)^2+(du1/dx2)^2+(du1/dx3)^2+(du2/dx1)^2+(du2/dx2)^2+(du2/dx3)^2+(du3/dx1)^2+(du3/dx2)^2+(du3/dx3)^2 % Column 60: vor1^2+vor2^2+vor3^2 % % Column 61: 0 % Column 62: convective term u1 equation; -u1*du1/dx1-u2*du1/dx2-u3*du1/dx3 % Column 63: pressure term u1 equation; -dp/dx1 % Column 64: viscous term u1 equation; nu*Laplacian(u1) % Column 65: pressure + viscous term u1 equation % Column 66: convective + pressure + viscous term u1 equation % Column 67: (du1/dx1)*(convective term u1 equation) % Column 68: (du1/dx1)*(convective + pressure + viscous term u1 equation) % Column 69: 0 % Column 70: 0 % Column 71: 0 % Column 72: convective term u1 equation; -u1*du2/dx1-u2*du2/dx2-u3*du2/dx3 % Column 73: pressure term u1 equation; -dp/dx2 % Column 74: viscous term u1 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