Functional Integration Theory for Incompressible Fluid Turbulence. II

Abstract

Two iterative solutional procedures are reported for the nonlinear integro‐differential dynamical equation obtained previously by the stationary functionality method and supplemented here by a subsidiary dynamical condition. Rapidly convergent for grid Reynolds numbers between about 100 and 300, both methods yield general expressions for the two‐point equal‐time velocity‐correlation tensor in approximate agreement with experiment for the initial period of decay.