Self-Consistent-Field Approach to Turbulence Theory
- 1 December 1965
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 8 (12), 2219-2225
- https://doi.org/10.1063/1.1761185
Abstract
A self‐consistent‐field type perturbation theory is developed to treat the dynamics of stationary and homogeneous turbulence. The method consists of expanding the full probability distribution function about the product of the exact univariate distributions of all the Fourier modes. The theory is used in second order to find expressions for the turbulent energy spectrum and associated response frequencies. The results for the energy spectrum are identical to a simplified form of the direct‐interaction approximation of Kraichnan and closely resemble the results of the generalized randomphase approximation of Edwards. The relation of the present method to both the above approaches is discussed.Keywords
This publication has 3 references indexed in Scilit:
- Annular Effect in Viscoelastic FluidsPhysics of Fluids, 1964
- The statistical dynamics of homogeneous turbulenceJournal of Fluid Mechanics, 1964
- The structure of isotropic turbulence at very high Reynolds numbersJournal of Fluid Mechanics, 1959