On the interactions between large-scale structure and fine-grained 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 large-scale coherent structure and the fine-grained turbulence in a mixing layer are presented. In the numerical calculations, the appropriate dependent variable is one which comprises both the mean and the large-scale 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 fine-grained turbulent stresses are interpreted as being conditionally averaged. It is shown how three dimensional fine-grained turbulence can be produced indirectly from the two dimensional large-scale structure via the isotropizing process of the approximated pressure-strain 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