Threescale subgrid modeling of the random advection of a passive scalar
Abstract
A subgrid model is presented for a passive scalar advected by a randomly prescribed frozen velocity field. In addition to an eddy diffusivity it has a term which describes the injection of noise from the subgrid scales, and a term which implicitly describes the coupling between the large eddies and the eddies just below the limit of resolution of the finite difference grid. The construction of the model is based upon an iterative procedure which first models away the dissipation range eddies, and then the eddies of a slightly larger size, etc.
 Publication:

Symposium on Turbulent Shear Flows
 Pub Date:
 1977
 Bibcode:
 1977tsf.....1...14R
 Keywords:

 Advection;
 Diffusion Theory;
 Finite Difference Theory;
 Random Processes;
 Scalars;
 Turbulent Flow;
 Mathematical Models;
 Turbulent Diffusion;
 Fluid Mechanics and Heat Transfer