Asymptotic states of decaying turbulence in two-dimensional incompressible flows

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We investigate the relaxation of a strongly turbulent fluid to metastable states, in times much shorter than the dissipation time scale. Several simulations of decaying two-dimensional Navier-Stokes flows were performed, which show the relaxation to organized states dominated by coherent vortex stru...

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Autores principales:	Dmitruk, P., Gómez, D., Costa, A., Dawson, S.P.
Formato:	Artículo publishedVersion
Publicado:	1996
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_1063651X_v54_n3_p2555_Dmitruk http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_1063651X_v54_n3_p2555_Dmitruk_oai
Aporte de:	Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

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spelling	I28-R145-paper_1063651X_v54_n3_p2555_Dmitruk_oai2020-10-19 Dmitruk, P. Gómez, D. Costa, A. Dawson, S.P. 1996 We investigate the relaxation of a strongly turbulent fluid to metastable states, in times much shorter than the dissipation time scale. Several simulations of decaying two-dimensional Navier-Stokes flows were performed, which show the relaxation to organized states dominated by coherent vortex structures of length scales comparable to the size of the system. In the case of periodic boundary conditions, the organized state is characterized by a strong correlation between vorticity and stream function, the second of which satisfies a sinh-Poisson equation quite accurately. However, in the case of free-slip boundary conditions the relaxed state does not display any significant correlation between its vorticity and its stream function. Notwithstanding, in both cases the role of nonlinearities is found to be essential even at these late stages of the evolution. However, we show that even severe truncations of a few (short wave number) nonlinearly coupled Fourier modes provide an accurate description of the long-term dynamics of the fluid. Therefore the dynamics of the flow in these metastable states is somewhere in between a strong turbulent regime and a (mostly linear) dissipative relaxation stage. © 1996 The American Physical Society. Fil:Dmitruk, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Gómez, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Dawson, S.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_1063651X_v54_n3_p2555_Dmitruk info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Phys Rev E. 1996;54(3):2555-2563 Asymptotic states of decaying turbulence in two-dimensional incompressible flows info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_1063651X_v54_n3_p2555_Dmitruk_oai
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-145
collection	Repositorio Digital de la Universidad de Buenos Aires (UBA)
description	We investigate the relaxation of a strongly turbulent fluid to metastable states, in times much shorter than the dissipation time scale. Several simulations of decaying two-dimensional Navier-Stokes flows were performed, which show the relaxation to organized states dominated by coherent vortex structures of length scales comparable to the size of the system. In the case of periodic boundary conditions, the organized state is characterized by a strong correlation between vorticity and stream function, the second of which satisfies a sinh-Poisson equation quite accurately. However, in the case of free-slip boundary conditions the relaxed state does not display any significant correlation between its vorticity and its stream function. Notwithstanding, in both cases the role of nonlinearities is found to be essential even at these late stages of the evolution. However, we show that even severe truncations of a few (short wave number) nonlinearly coupled Fourier modes provide an accurate description of the long-term dynamics of the fluid. Therefore the dynamics of the flow in these metastable states is somewhere in between a strong turbulent regime and a (mostly linear) dissipative relaxation stage. © 1996 The American Physical Society.
format	Artículo Artículo publishedVersion
author	Dmitruk, P. Gómez, D. Costa, A. Dawson, S.P.
spellingShingle	Dmitruk, P. Gómez, D. Costa, A. Dawson, S.P. Asymptotic states of decaying turbulence in two-dimensional incompressible flows
author_facet	Dmitruk, P. Gómez, D. Costa, A. Dawson, S.P.
author_sort	Dmitruk, P.
title	Asymptotic states of decaying turbulence in two-dimensional incompressible flows
title_short	Asymptotic states of decaying turbulence in two-dimensional incompressible flows
title_full	Asymptotic states of decaying turbulence in two-dimensional incompressible flows
title_fullStr	Asymptotic states of decaying turbulence in two-dimensional incompressible flows
title_full_unstemmed	Asymptotic states of decaying turbulence in two-dimensional incompressible flows
title_sort	asymptotic states of decaying turbulence in two-dimensional incompressible flows
publishDate	1996
url	http://hdl.handle.net/20.500.12110/paper_1063651X_v54_n3_p2555_Dmitruk http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_1063651X_v54_n3_p2555_Dmitruk_oai
work_keys_str_mv	AT dmitrukp asymptoticstatesofdecayingturbulenceintwodimensionalincompressibleflows AT gomezd asymptoticstatesofdecayingturbulenceintwodimensionalincompressibleflows AT costaa asymptoticstatesofdecayingturbulenceintwodimensionalincompressibleflows AT dawsonsp asymptoticstatesofdecayingturbulenceintwodimensionalincompressibleflows
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Asymptotic states of decaying turbulence in two-dimensional incompressible flows

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