%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%% %%%%%% %%%%%% Turbulent Round Jet Flow %%%%%% %%%%%% %%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%% %%%%%% %%%%%% Supported by the German Science Foundation (DFG) %%%%%% %%%%%% %%%%%% %%%%%% Project: 526024901 %%%%%% %%%%%% %%%%%% %%%%%% and %%%%%% %%%%%% %%%%%% %%%%%% Gauss Centre for Supercomputing e.V. %%%%%% %%%%%% %%%%%% %%%%%% Project: pn73fu %%%%%% %%%%%% %%%%%% %%%%%% and %%%%%% %%%%%% %%%%%% %%%%%% Studienstiftung des deutschen Volkes %%%%%% %%%%%% (Academic Scholarship Foundation) %%%%%% %%%%%% %%%%%% %%%%%% %%%%%% %%%%%% %%%%%% %%%%%% Chair of Fluid Dynamics %%%%%% %%%%%% %%%%%% %%%%%% Department of Mechanical Engineering, %%%%%% %%%%%% Technische Unversitaet Darmstadt, %%%%%% %%%%%% Otto-Berndt-Str. 2, 64287 Darmstadt, Germany %%%%%% %%%%%% %%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%% %%%%%% %%%%%% <<< CAUTION >>> %%%%%% %%%%%% %%%%%% %%%%%% All rights are reserved by the Chair of Fluid Dynamics. %%%%%% %%%%%% No part of the data described herein may be represented %%%%%% %%%%%% without reference. The data base may be used without %%%%%% %%%%%% notification to the author's laboratory. %%%%%% %%%%%% %%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% %% %% REFERENCES: %% %% Comparative Study of Turbulent Round Jet Flows through %% %% Direct Numerical Simulation at Medium-High Reynolds Numbers %% %% C.T. Nguyen and M. Oberlack %% %% Accepted in PoF %% %% %% Please check the final references before citing these papers %% %% %% NOMENCLATURE: %% %% r = radial coordinate %% %% z = axial coordinate %% %% phi = azimuthal coordinate %% %% D = orifice diameter %% %% U_i^n = nth-order moment of mean velocity in direction i %% %% PS^m = mth-order moment of mean passive scalar %% %% U_i^n PS^m = mean of nth-order velocity moment in i direction %% %% and of mth-order passive scalar moment %% %% ubulk = bulk velocity at the orifice %% %% %% %% P = production %% %% D = dissipation %% %% T = turbulent transport %% %% C = convection %% %% Pi = pressure-velocity-gradient tensor %% %% PT = pressure transport %% %% PS = pressure strain %% %% %% %% u_z = velocity in direction z %% %% ps = passive scalar %% %% eta = r/z %% %% PDF = probability density function %% %% PD = probability density %% %% bin = bins normalized such that the sum of bin count is 1 %% %% %% %% NOTE: %% %% Reynold stress can be calculated with u_i u_j=U_i*U_j - U_i U_j %% %% %% %% "9_U_z_PDF.mat" contains "coord_U_z.mat" and "PDF.mat". %% %% Each row in "coord_U_z.mat" corresponds to %% %% each cell entry of "PDF.mat" %% %% %% %% coord_U_z.mat: %% %% Each row is %% %% [r, z, U_z(r=0,z)] %% %% %% %% PDF.mat: %% %% Each cell entry is %% %% [bin, PD of u_z(eta,z,t)/U_z(r=0,z)] %% %% "10_T_PDF.mat" contains "coord_T.mat" and "PDF.mat". %% %% %% %% Each row in "coord_T.mat" corresponds to %% %% each cell entry of "PDF.mat" %% %% %% %% coord_U_z.mat: %% %% Each row is %% %% [r, z, PS(r=0,z)] %% %% %% %% PDF.mat: %% %% Each cell entry is %% %% [bin, PD of ps(eta,z,t)/PS(r=0,z)] %% %% %% %% BOX SIZE in D with axial length z=75: r(z=0)=2, r(z=75)=32 %% %% FLOW CONDITIONS: Re_b = 7000, Pr=0.71 %% %% D=1, ubulk = 1 %% %% %% %% Files: %% %% 1_R_Moments.txt %% %% 2_H_U_r_Moments.txt %% %% 3_H_U_phi_Moments.txt %% %% 4_H_U_z_Moments.txt %% %% 5_H_PS_Moments.txt %% %% 6_H_U_z_PS_Moments.txt %% %% 7_H_U_r_PS_Moments %% %% 8_Turb_Budgets.txt %% %% 9_U_z_PDF.mat %% %% 10_T_PDF.mat %% %% %% %% Data files created: October 16, 2024 %% %% %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%