A Model of the Structure of Homogeneous Turbulence.

We propose to generalize well-known transport equations for turbulent flows so that they are assumed to apply to two-point correlation functions. We use analogy with their one-point counterparts to which they are required to reduce as the separation of the two points is made to vanish. In order to illustrate the development of this program, we concentrate in this report on homogeneous turbulence at high Reynolds numbers so that the two one-point models needed are the dissipation model and the redistribution model. Both models have been used successfully for such a long time that it is difficult to assign rigidly their originators. They have acquired special importance in the recent developments of turbulent transport calculations.