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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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https://hal.archives-ouvertes.fr/hal-02933727
Contributor : Wouter Bos <>
Submitted on : Friday, September 11, 2020 - 2:33:18 PM
Last modification on : Saturday, September 12, 2020 - 3:29:46 AM

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PhysRevE.102.033105.pdf
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Wouter Bos, Faouzi Laadhari, Wesley Agoua. Linearly forced isotropic turbulence at low Reynolds numbers. Physical Review E , American Physical Society (APS), 2020, 102, ⟨10.1103/PhysRevE.102.033105⟩. ⟨hal-02933727⟩

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