Publication Abstracts

Canuto et al. 1999

Canuto, V.M., M.S. Dubovikov, and G. Yu, 1999: A dynamical model for turbulence. VIII. IR and UV Reynolds stress spectra for shear-driven flows. Phys. Fluids, 11, 665-677, doi:10.1063/1.869938.

The basic equations for the two-point Reynolds stresses derived in paper II are solve analytically in two regimes: the UV (ultraviolet) region corresponding to the inertial range and the IR (infrared) region corresponding to k→0. The analytic treatment is possible due to the existence of two smallness parameters: Ui,j(k2νt)-1 in the UV region and kL in the IR region; Ui,j is the mean velocity gradient, νt(k) is the turbulent viscosity, and L is the integral length scale. For an arbitrary flowm the Reynolds stress spectrum in the UV region is given by Eqs. (53)-(59). In the IR region, and in the first-order approximation in kL, the spectra coincide with those of the rapid distortion theory. Since they are flow independent, we shall discuss a few representative cases. The resulting Reynolds stress spectra, which are shown to reproduce existing data, are the basis for the calculation of the one-point Reynolds stresses to be presented in paper IX. The model has no free parameters.

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BibTeX Citation

@article{ca05300q,
  author={Canuto, V. M. and Dubovikov, M. S. and Yu, G.},
  title={A dynamical model for turbulence. VIII. IR and UV Reynolds stress spectra for shear-driven flows},
  year={1999},
  journal={Phys. Fluids},
  volume={11},
  pages={665--677},
  doi={10.1063/1.869938},
}

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RIS Citation

TY  - JOUR
ID  - ca05300q
AU  - Canuto, V. M.
AU  - Dubovikov, M. S.
AU  - Yu, G.
PY  - 1999
TI  - A dynamical model for turbulence. VIII. IR and UV Reynolds stress spectra for shear-driven flows
JA  - Phys. Fluids
VL  - 11
SP  - 665
EP  - 677
DO  - 10.1063/1.869938
ER  -

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