On the interactions between largescale structure and finegrained turbulence in a free shear flow. III  A numerical solution
Abstract
The results of a numerical computation of the interactions between the horizontally periodic monochromatic component of a largescale coherent structure and the finegrained turbulence in a mixing layer are presented. In the numerical calculations, the appropriate dependent variable is one which comprises both the mean and the largescale coherent structure. The dynamical equations obtained for such a total coherent structure quantity are identical to the unsteady equations for the mean quantities in the Reynolds sense, except that the finegrained turbulent stresses are interpreted as being conditionally averaged. It is shown how three dimensional finegrained turbulence can be produced indirectly from the two dimensional largescale structure via the isotropizing process of the approximated pressurestrain correlation.
 Publication:

Philosophical Transactions of the Royal Society of London Series A
 Pub Date:
 January 1980
 DOI:
 10.1098/rsta.1980.0001
 Bibcode:
 1980RSPTA.293..473G
 Keywords:

 Computational Fluid Dynamics;
 Free Flow;
 Shear Flow;
 Turbulence Effects;
 Boundary Value Problems;
 Conservation Equations;
 Energy Transfer;
 Graphs (Charts);
 Mixing Layers (Fluids);
 Reynolds Stress;
 Stream Functions (Fluids);
 Time Dependence;
 Vortices;
 Fluid Mechanics and Heat Transfer