Variational Method in the Statistical Theory of Turbulence
Final rept. Jan 1988-Jun 1990
BATTELLE MEMORIAL INST COLUMBUS OH
Pagination or Media Count:
A new approach to the calculation of turbulent flows is presented. Variational principles are introduced into the statistical theory of turbulence enabling the determination of correlation functions by extremizing certain functionals. To demonstrate the efficiency of the technique a sample calculation of a mean flow profile and certain two point correlation functions of a cylindrically symmetric free jet were carried out using the Rayleigh-Ritz method. A judicious choice of the trial functions leads to the determination of the correlation functions with a modest amount of computation. The results are in reasonable agreement with experimental data.
- Fluid Mechanics