Publication Abstracts

Herring 1965

Herring, J.R., 1965: Self-consistent-field approach to turbulence theory. Phys. Fluids, 8, 2219-2225, doi:10.1063/1.1761185.

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.

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BibTeX Citation

@article{he07200r,
  author={Herring, J. R.},
  title={Self-consistent-field approach to turbulence theory},
  year={1965},
  journal={Physics of Fluids},
  volume={8},
  pages={2219--2225},
  doi={10.1063/1.1761185},
}

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RIS Citation

TY  - JOUR
ID  - he07200r
AU  - Herring, J. R.
PY  - 1965
TI  - Self-consistent-field approach to turbulence theory
JA  - Phys. Fluids
JO  - Physics of Fluids
VL  - 8
SP  - 2219
EP  - 2225
DO  - 10.1063/1.1761185
ER  -

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