%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%% %%%%%% %%%%%% 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: %% %% 1. Analysis of a turbulent round jet based on direct numerical %% %% simulation data at large box and high Reynolds number %% %% %% %% C.T. Nguyen and M. Oberlack %% %% Accepted in PRF %% %% %% %% 2. Hidden intermittency in turbulent jet flows %% %% %% %% C.T. Nguyen and M. Oberlack %% %% In Revision with PRL %% %% %% Please check the final references before citing these papers %% %% %% NOMENCLATURE: %% %% r = radial coordinate %% %% z = axial coordinate %% %% phi = azimuthal coordinate %% %% D = orifice diameter %% %% U_i = mean velocity in direction i %% %% U_i U_j = mean of U_i U_j %% %% u_b = 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 %% %% 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 %% %% %% %% "3_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)] %% %% %% %% BOX SIZE in D with axial length z=75: r(z=0)=2, r(z=75)=32 %% %% FLOW CONDITIONS: Re_b = 3500, %% %% D=1, ubulk = 1 %% %% %% %% Files: %% %% 1_Moments.txt %% %% 2_Turb_Budgets.txt %% %% 3_U_z_PDF.mat %% %% %% %% Data files created: February 06, 2024 %% %% %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%