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Spectral modeling of rotating turbulent flows

النمذجة الطيفية للتدفقات المضطربة الدوارة
Authors: Julien Baerenzung; P. D. Mininni; A. Pouquet; H. Politano; Yannick Ponty;

Spectral modeling of rotating turbulent flows

Abstract

A subgrid-scale spectral model of rotating turbulent flows is tested against direct numerical simulations (DNSs). The case of Taylor–Green forcing is considered, a configuration that mimics the flow between two counter-rotating disks as often used in the laboratory. Computations are performed for moderate rotation down to Rossby numbers of 0.03, as can be encountered in the Earth’s atmosphere. We provide several measures of the degree of anisotropy of the small scales and conclude that an isotropic model may suffice at moderate Rossby number. The model, developed previously [J. Baerenzung, H. Politano, Y. Ponty, and A. Pouquet, “Spectral modeling of turbulent flows and the role of helicity,” Phys. Rev. E 77, 046303 (2008)], incorporates eddy viscosity and eddy noise that depend dynamically on the index of the energy spectrum. We show that the model reproduces satisfactorily all large-scale properties of the DNS up to Reynolds numbers of ∼104 and for long times after the onset of the inverse cascade of energy; it is also shown to behave better than either the Chollet–Lesieur eddy viscosity model [J. P. Chollet and M. Lesieur, “Parametrization of small scales of three-dimensional isotropic turbulence utilizing spectral closures,” J. Atmos. Sci. 38, 2747 (1981)] or an under-resolved DNS.

Countries
France, Argentina, Argentina, Germany
Keywords

Hydrodynamic Turbulence, Computational Mechanics, Rotating disks, Turbulent flow, Reynolds number, Engineering, https://purl.org/becyt/ford/1.3, Classical mechanics, Spectroscopy, Vortex Dynamics, Viscosity, Small scale, Physics, Urban Wind Environment and Air Quality Modeling, Large-eddy simulations, Parametrizations, Physics - Fluid Dynamics, Eddy viscosity, Spectral methods, Isotropic turbulence, Physical Sciences, Eddy viscosity model, rotational flow, Turbulent Flows, Counter rotating, Subgrid scale, Environmental Engineering, Rotation, Turbulent Flows and Vortex Dynamics, Spectral models, FOS: Physical sciences, Mechanics, Helicities, Isotropic models, Rossby numbers, Rossby number, Under-resolved DNS, Rotating and swirling flows, Fluid mechanics, Radiative transfer, https://purl.org/becyt/ford/1, Internet protocols, Parametrization (atmospheric modeling), Turbulence modeling, Solar Physics and Space Weather, Spectral modeling, Three dimensional, turbulence, Large eddy simulation, Fluid Dynamics (physics.flu-dyn), FOS: Environmental engineering, Large-Eddy Simulation, Astronomy and Astrophysics, Optics, Reynolds Number Scaling, Isotropy, Turbulence, Energy spectra, Earth atmosphere, Degree of anisotropy, Physics and Astronomy, Energy cascade, Environmental Science, Scale properties, Reynolds stress, flow simulation, Anisotropy, Statistical physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Top 10%
Average
Top 10%
Green
hybrid