a ThreeDimensional Numerical Study of Turbulence in Homogeneous and Convectively Unstable Fluids.
Abstract
A simplified set of subgrid scale transport equations was used to compute the stresses in a homogeneous turbulence problem and in a threedimensional model of thermal convection in the atmosphere. The transport equations are closed by standard approximations; and all terms except those thought to be essential to the large scale dynamics are discarded, leaving prognostic equations to be solved for the subgrid scale energy and the virtual potential temperature variance only. Equations for the Reynolds stresses and the subgrid scale temperaturevelocity correlations are considerably simplified and can be solved algebraically. A scale analysis of the full transport equations is offered as partial justification for the present approach in the case of nearly isotropic turbulence.
 Publication:

Ph.D. Thesis
 Pub Date:
 1974
 Bibcode:
 1974PhDT.......107S
 Keywords:

 Physics: Atmospheric Science;
 Homogeneous Turbulence;
 Numerical Analysis;
 Three Dimensional Boundary Layer;
 Boltzmann Transport Equation;
 Eddy Viscosity;
 Free Convection;
 Reynolds Stress;
 Three Dimensional Models;
 Fluid Mechanics and Heat Transfer