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Journal Articles Physical Review E Year : 2020

Linearly forced isotropic turbulence at low Reynolds numbers

Abstract

We investigate the forcing strength needed to sustain a flow using linear forcing. A critical Reynolds number R_c is determined, based on the longest wavelength allowed by the system, the forcing strength and the viscosity. A simple model is proposed for the dissipation rate, leading to a closed expression for the kinetic energy of the flow as a function of the Reynolds number. The dissipation model and the prediction for the kinetic energy are assessed using direct numerical simulations and two-point closure integrations. An analysis of the dissipation-rate equation and the triadic structure of the nonlinear transfer allows to refine the model in order to reproduce the low-Reynolds-number asymptotic behavior, where the kinetic energy is proportional to R − R_c.
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Dates and versions

hal-02933727 , version 1 (11-09-2020)

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Wouter J.T. Bos, Faouzi Laadhari, Wesley Agoua. Linearly forced isotropic turbulence at low Reynolds numbers. Physical Review E , 2020, 102, ⟨10.1103/PhysRevE.102.033105⟩. ⟨hal-02933727⟩
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