Subgrid turbulence modelling by homogenization
Abstract
Consideration is given to the modeling of turbulence at scales smaller than the grid size by means of homogenization in the solution of the NavierStokes equation at high Reynolds numbers. It is shown that if all the eddies smaller than the mesh size and all the frequencies larger than the inverse of the time step are in the inertial subrange, then they can be modeled in terms of the local average rate of energy transferred into turbulence at a given point and time using the Kolmogorov similarity hypotheses. The theory of homogenization can then be used to average the expression for the flux that can be modelled and the NavierStokes equation. An equation for the mean flow is obtained with turbulent viscosities and turbulent transports.
 Publication:

2nd Symposium on Turbulent Shear Flows
 Pub Date:
 1979
 Bibcode:
 1979stsf.procR..14P
 Keywords:

 Computational Fluid Dynamics;
 Homogeneous Turbulence;
 Turbulent Flow;
 Flow Equations;
 Homogenizing;
 NavierStokes Equation;
 Reynolds Number;
 Fluid Mechanics and Heat Transfer