Theory of homogeneous turbulence
Abstract
A theory of homogeneous turbulence is developed within the framework of a cumulant expansion approximation. The approximation scheme consists of two superimposed expansions, one being the ordinary cumulant expansion and the other the Taylor expansion of the nonlinear terms in each cumulant expansion in time. By retaining only the lowest order terms of the expansion as the first approximation, a closed equation is obtained for the energy spectrum that is even simpler than that due to the zero fourth-order cumulant approximation. Two-dimensional incompressible isotropic turbulence and one-dimensional Burgers turbulence are considered.
- Publication:
-
In: Advances in applied mechanics. Volume 20. (A81-43526 20-70) New York
- Pub Date:
- 1980
- Bibcode:
- 1980aam....20...39T
- Keywords:
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- Energy Spectra;
- Homogeneous Turbulence;
- Isotropic Turbulence;
- Statistical Analysis;
- Two Dimensional Flow;
- Energy Dissipation;
- Incompressible Flow;
- Oscillating Flow;
- Reynolds Number;
- Statistical Distributions;
- Fluid Mechanics and Heat Transfer