Thermalization and free decay in surface quasigeostrophic flows

We derive statistical equilibrium solutions of the truncated inviscid surface quasigeostrophic (SQG) equations, and verify the validity of these solutions at late times in numerical simulations. The results indicate the pseudoenstrophy thermalizes while the pseudoenergy can condense at the gravest m...

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Autores principales: Teitelbaum, T., Mininni, P.D.
Formato: JOUR
Materias:
Free decay
Quasi-geostrophic flows
Statistical equilibrium
Surface quasi-geostrophic equations
Thermalization
Reynolds number
Astrophysics
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v86_n1_p_Teitelbaum
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_15393755_v86_n1_p_Teitelbaum2023-10-03T16:22:41Z Thermalization and free decay in surface quasigeostrophic flows Teitelbaum, T. Mininni, P.D. Free decay Quasi-geostrophic flows Statistical equilibrium Surface quasi-geostrophic equations Thermalization Reynolds number Astrophysics We derive statistical equilibrium solutions of the truncated inviscid surface quasigeostrophic (SQG) equations, and verify the validity of these solutions at late times in numerical simulations. The results indicate the pseudoenstrophy thermalizes while the pseudoenergy can condense at the gravest modes, in agreement with previous indications of a direct cascade of pseudoenstrophy and an inverse cascade of pseudoenergy in forced-dissipative SQG systems. At early times, the truncated inviscid SQG simulations show a behavior reminiscent of forced-dissipative SQG turbulence, and we identify spectral scaling laws for the pseudoenergy and pseudoenstrophy spectra. More importantly, a comparison between viscous and inviscid simulations allows us to identify free-decay laws for the pseudoenstrophy in SQG turbulence at very large Reynolds number. © 2012 American Physical Society. Fil:Teitelbaum, T. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15393755_v86_n1_p_Teitelbaum
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Free decay
Quasi-geostrophic flows
Statistical equilibrium
Surface quasi-geostrophic equations
Thermalization
Reynolds number
Astrophysics
spellingShingle Free decay
Quasi-geostrophic flows
Statistical equilibrium
Surface quasi-geostrophic equations
Thermalization
Reynolds number
Astrophysics
Teitelbaum, T.
Mininni, P.D.
Thermalization and free decay in surface quasigeostrophic flows
topic_facet Free decay
Quasi-geostrophic flows
Statistical equilibrium
Surface quasi-geostrophic equations
Thermalization
Reynolds number
Astrophysics
description We derive statistical equilibrium solutions of the truncated inviscid surface quasigeostrophic (SQG) equations, and verify the validity of these solutions at late times in numerical simulations. The results indicate the pseudoenstrophy thermalizes while the pseudoenergy can condense at the gravest modes, in agreement with previous indications of a direct cascade of pseudoenstrophy and an inverse cascade of pseudoenergy in forced-dissipative SQG systems. At early times, the truncated inviscid SQG simulations show a behavior reminiscent of forced-dissipative SQG turbulence, and we identify spectral scaling laws for the pseudoenergy and pseudoenstrophy spectra. More importantly, a comparison between viscous and inviscid simulations allows us to identify free-decay laws for the pseudoenstrophy in SQG turbulence at very large Reynolds number. © 2012 American Physical Society.
format JOUR
author Teitelbaum, T.
Mininni, P.D.
author_facet Teitelbaum, T.
Mininni, P.D.
author_sort Teitelbaum, T.
title Thermalization and free decay in surface quasigeostrophic flows
title_short Thermalization and free decay in surface quasigeostrophic flows
title_full Thermalization and free decay in surface quasigeostrophic flows
title_fullStr Thermalization and free decay in surface quasigeostrophic flows
title_full_unstemmed Thermalization and free decay in surface quasigeostrophic flows
title_sort thermalization and free decay in surface quasigeostrophic flows
url http://hdl.handle.net/20.500.12110/paper_15393755_v86_n1_p_Teitelbaum
work_keys_str_mv AT teitelbaumt thermalizationandfreedecayinsurfacequasigeostrophicflows
AT mininnipd thermalizationandfreedecayinsurfacequasigeostrophicflows
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