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Enstrophy inertial range dynamics in generalized two-dimensional turbulence

Enstrophy inertial range dynamics in generalized two-dimensional turbulence We show that the transition to a k − 1 spectrum in the enstrophy inertial range of generalized two-dimensional turbulence can be derived analytically using the eddy damped quasinormal Markovianized (EDQNM) closure. The governing equation for the generalized two-dimensional fluid system includes a nonlinear term with a real parameter α . This parameter controls the relationship between the stream function and generalized vorticity and the nonlocality of the dynamics. An asymptotic analysis accounting for the overwhelming dominance of nonlocal triads allows the k − 1 spectrum to be derived based upon a scaling analysis. We thereby provide a detailed analytical explanation for the scaling transition that occurs in the enstrophy inertial range at α = 2 in terms of the spectral dynamics of the EDQNM closure, which extends and enhances the usual phenomenological explanations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review Fluids American Physical Society (APS)

Enstrophy inertial range dynamics in generalized two-dimensional turbulence

Physical Review Fluids , Volume 1 (3): 17 – Jul 26, 2016

Enstrophy inertial range dynamics in generalized two-dimensional turbulence

Physical Review Fluids , Volume 1 (3): 17 – Jul 26, 2016

Abstract

We show that the transition to a k − 1 spectrum in the enstrophy inertial range of generalized two-dimensional turbulence can be derived analytically using the eddy damped quasinormal Markovianized (EDQNM) closure. The governing equation for the generalized two-dimensional fluid system includes a nonlinear term with a real parameter α . This parameter controls the relationship between the stream function and generalized vorticity and the nonlocality of the dynamics. An asymptotic analysis accounting for the overwhelming dominance of nonlocal triads allows the k − 1 spectrum to be derived based upon a scaling analysis. We thereby provide a detailed analytical explanation for the scaling transition that occurs in the enstrophy inertial range at α = 2 in terms of the spectral dynamics of the EDQNM closure, which extends and enhances the usual phenomenological explanations.

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Publisher
American Physical Society (APS)
Copyright
©2016 American Physical Society
Subject
ARTICLES; Turbulent flows
ISSN
2469-990X
eISSN
2469-990X
DOI
10.1103/PhysRevFluids.1.034403
Publisher site
See Article on Publisher Site

Abstract

We show that the transition to a k − 1 spectrum in the enstrophy inertial range of generalized two-dimensional turbulence can be derived analytically using the eddy damped quasinormal Markovianized (EDQNM) closure. The governing equation for the generalized two-dimensional fluid system includes a nonlinear term with a real parameter α . This parameter controls the relationship between the stream function and generalized vorticity and the nonlocality of the dynamics. An asymptotic analysis accounting for the overwhelming dominance of nonlocal triads allows the k − 1 spectrum to be derived based upon a scaling analysis. We thereby provide a detailed analytical explanation for the scaling transition that occurs in the enstrophy inertial range at α = 2 in terms of the spectral dynamics of the EDQNM closure, which extends and enhances the usual phenomenological explanations.

Journal

Physical Review FluidsAmerican Physical Society (APS)

Published: Jul 26, 2016

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