On the mathematical foundations of the kepsilon turbulent model
Abstract
The derivation of the kepsilon turbulence model from the Euler problem with random initial data is investigated analytically, applying homogenization theory (Bensoussan et al., 1978) and the asymptotic expansions proposed by Perrier and Pironneau (1981) and Papanicolaou and Pironneau (1981). The kepsilon model is shown to be similar to a firstorder approximation of the general model for twodimensional mean flows, but with a modified formulation of the Reynolds stress tensor and replacement of the dissipatedenergy rate with the helicity (or a length scale based on it). Typical numerical results are presented graphically.
 Publication:

IN: Vistas in applied mathematics: Numerical analysis
 Pub Date:
 1986
 Bibcode:
 1986vamn.rept...44C
 Keywords:

 Asymptotic Series;
 Computational Fluid Dynamics;
 Heuristic Methods;
 High Reynolds Number;
 KEpsilon Turbulence Model;
 Turbulent Flow;
 Isotropic Turbulence;
 Kinetic Energy;
 Two Dimensional Flow;
 Vorticity;
 Fluid Mechanics and Heat Transfer