A quadratic Reynolds stress development for the turbulent Kolmogorov flow

@article{Wu2021AQR,
  title={A quadratic Reynolds stress development for the turbulent Kolmogorov flow},
  author={Wenwei Wu and François G. Schmitt and Enrico Calzavarini and Lipo Wang},
  journal={Physics of Fluids},
  year={2021}
}
We study the three-dimensional turbulent Kolmogorov flow, i.e. the Navier-Stokes equations forced by a single-low-wave-number sinusoidal force in a periodic domain, by means of direct numerical simulations. This classical model system is a realization of anisotropic and non-homogeneous hydrodynamic turbulence. Boussinesq’s eddy viscosity linear relation is checked and found to be approximately valid over half of the system volume. A more general quadratic Reynolds stress development is proposed… 

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