Inverse cascade behavior in freely decaying two-dimensional fluid turbulence

We present results from an ensemble of 50 runs of two-dimensional hydrodynamic turbulence with spatial resolution of 20482 grid points and from an ensemble of 10 runs with 40962 grid points. All runs in each ensemble have random initial conditions with the same initial integral scale, energy, enstro...

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Autores principales: Mininni, P.D., Pouquet, A.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2013
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v87_n3_p_Mininni
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spelling paperaa:paper_15393755_v87_n3_p_Mininni2023-06-12T16:50:42Z Inverse cascade behavior in freely decaying two-dimensional fluid turbulence Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2013;87(3) Mininni, P.D. Pouquet, A. Experimental studies Fluid turbulence Inverse energy cascades Negative fluxes Random initial conditions Source of energy Spatial resolution Two-dimensional hydrodynamics Magnetohydrodynamics Reynolds number Two dimensional Turbulence We present results from an ensemble of 50 runs of two-dimensional hydrodynamic turbulence with spatial resolution of 20482 grid points and from an ensemble of 10 runs with 40962 grid points. All runs in each ensemble have random initial conditions with the same initial integral scale, energy, enstrophy, and Reynolds number. When both ensemble and time averaged, an inverse energy cascade behavior is observed, even in the absence of external mechanical forcing: The energy spectrum at scales larger than the characteristic scale of the flow follows a k-5/3 law, with negative flux, together with a k-3 law at smaller scales, and a positive flux of enstrophy. The source of energy for this behavior comes from the modal energy around the energy-containing scale at t=0. The results shed some light on the connections between decaying and forced turbulence and recent controversies in experimental studies of two-dimensional and magnetohydrodynamic turbulent flows. © 2013 American Physical Society. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15393755_v87_n3_p_Mininni
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
topic Experimental studies
Fluid turbulence
Inverse energy cascades
Negative fluxes
Random initial conditions
Source of energy
Spatial resolution
Two-dimensional hydrodynamics
Magnetohydrodynamics
Reynolds number
Two dimensional
Turbulence
spellingShingle Experimental studies
Fluid turbulence
Inverse energy cascades
Negative fluxes
Random initial conditions
Source of energy
Spatial resolution
Two-dimensional hydrodynamics
Magnetohydrodynamics
Reynolds number
Two dimensional
Turbulence
Mininni, P.D.
Pouquet, A.
Inverse cascade behavior in freely decaying two-dimensional fluid turbulence
topic_facet Experimental studies
Fluid turbulence
Inverse energy cascades
Negative fluxes
Random initial conditions
Source of energy
Spatial resolution
Two-dimensional hydrodynamics
Magnetohydrodynamics
Reynolds number
Two dimensional
Turbulence
description We present results from an ensemble of 50 runs of two-dimensional hydrodynamic turbulence with spatial resolution of 20482 grid points and from an ensemble of 10 runs with 40962 grid points. All runs in each ensemble have random initial conditions with the same initial integral scale, energy, enstrophy, and Reynolds number. When both ensemble and time averaged, an inverse energy cascade behavior is observed, even in the absence of external mechanical forcing: The energy spectrum at scales larger than the characteristic scale of the flow follows a k-5/3 law, with negative flux, together with a k-3 law at smaller scales, and a positive flux of enstrophy. The source of energy for this behavior comes from the modal energy around the energy-containing scale at t=0. The results shed some light on the connections between decaying and forced turbulence and recent controversies in experimental studies of two-dimensional and magnetohydrodynamic turbulent flows. © 2013 American Physical Society.
format Artículo
Artículo
publishedVersion
author Mininni, P.D.
Pouquet, A.
author_facet Mininni, P.D.
Pouquet, A.
author_sort Mininni, P.D.
title Inverse cascade behavior in freely decaying two-dimensional fluid turbulence
title_short Inverse cascade behavior in freely decaying two-dimensional fluid turbulence
title_full Inverse cascade behavior in freely decaying two-dimensional fluid turbulence
title_fullStr Inverse cascade behavior in freely decaying two-dimensional fluid turbulence
title_full_unstemmed Inverse cascade behavior in freely decaying two-dimensional fluid turbulence
title_sort inverse cascade behavior in freely decaying two-dimensional fluid turbulence
publishDate 2013
url http://hdl.handle.net/20.500.12110/paper_15393755_v87_n3_p_Mininni
work_keys_str_mv AT mininnipd inversecascadebehaviorinfreelydecayingtwodimensionalfluidturbulence
AT pouqueta inversecascadebehaviorinfreelydecayingtwodimensionalfluidturbulence
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