2021/12/01 by Wenwei Wu, François G. Schmitt, Enrico Calzavarini +1 · 2 citations
Earth and Planetary Sciences · Engineering · Environmental Science · #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #Plant Water Relations and Carbon Dynamics
paper · doi:10.1063/5.0069688
openalex publication_date 2021/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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, and its parameters are estimated at varying the Taylor scale-based Reynolds number in the flow up to the value 200. The case of a forcing with a different shape, here chosen Gaussian, is considered, and the differences with the sinusoidal forcing are emphasized.