The "test field model" interpreted as a method of closure of the turbulence equations.
Abstract
The Test Field Model (TFM) is an analytic theory of turbulence which can be obtained directly from the hierarchy of turbulence moment equations and the hypothesis of the linear relaxation of triple correlations. This relaxation is studied here by means of an auxiliary problem: the advection of a Test Field by a turbulent flow. A simplification of the TFM equations is proposed where the number of unknowns in the numerical solution is proportional to the number of retained modes. A new closure problem is posed for the Test Field and the TFM equations for a threedimensional homogeneous isotropic turbulence without helicity are written in explicit form. The TFM is applied to the problem of steadystate homogeneous isotropic turbulence at very large Reynolds numbers for the two and three dimensional cases.
 Publication:

Annales de Geophysique
 Pub Date:
 December 1975
 Bibcode:
 1975AnG....31..487S
 Keywords:

 Atmospheric Turbulence;
 Closure Law;
 Flow Theory;
 Homogeneous Turbulence;
 Statistical Correlation;
 Turbulence Models;
 Turbulent Flow;
 Flow Equations;
 Helical Flow;
 Isotropic Turbulence;
 NavierStokes Equation;
 Relaxation (Mechanics);
 Reynolds Number;
 Stochastic Processes;
 Three Dimensional Flow