# 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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