Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws

We analyze the data stemming from a forced incompressible hydrodynamic simulation on a grid of 20483 regularly spaced points, with a Taylor Reynolds number of Rλ ∼1300. The forcing is given by the Taylor-Green vortex, which shares similarities with the von Kàrmàn flow used in several laboratory expe...

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Detalles Bibliográficos
Autor principal: Mininni, Pablo Daniel
Publicado: 2008
Materias:
Hydrodynamics
Reynolds number
Scaling laws
Steady flow
Turbulence models
Vortex flow
Hydrodynamic turbulence
Nonlocal interactions
Taylor-Green vortex
Turbulent steady state
Flow interactions
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v77_n3_p_Mininni
http://hdl.handle.net/20.500.12110/paper_15393755_v77_n3_p_Mininni
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15393755_v77_n3_p_Mininni
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spelling paper:paper_15393755_v77_n3_p_Mininni2023-06-08T16:20:36Z Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws Mininni, Pablo Daniel Hydrodynamics Reynolds number Scaling laws Steady flow Turbulence models Vortex flow Hydrodynamic turbulence Nonlocal interactions Taylor-Green vortex Turbulent steady state Flow interactions We analyze the data stemming from a forced incompressible hydrodynamic simulation on a grid of 20483 regularly spaced points, with a Taylor Reynolds number of Rλ ∼1300. The forcing is given by the Taylor-Green vortex, which shares similarities with the von Kàrmàn flow used in several laboratory experiments; the computation is run for ten turnover times in the turbulent steady state. At this Reynolds number the anisotropic large scale flow pattern, the inertial range, the bottleneck, and the dissipative range are clearly visible, thus providing a good test case for the study of turbulence as it appears in nature. Triadic interactions, the locality of energy fluxes, and longitudinal structure functions of the velocity increments are computed. A comparison with runs at lower Reynolds numbers is performed and shows the emergence of scaling laws for the relative amplitude of local and nonlocal interactions in spectral space. Furthermore, the scaling of the Kolmogorov constant, and of skewness and flatness of velocity increments is consistent with previous experimental results. The accumulation of energy in the small scales associated with the bottleneck seems to occur on a span of wave numbers that is independent of the Reynolds number, possibly ruling out an inertial range explanation for it. Finally, intermittency exponents seem to depart from standard models at high Rλ, leaving the interpretation of intermittency an open problem. © 2008 The American Physical Society. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v77_n3_p_Mininni http://hdl.handle.net/20.500.12110/paper_15393755_v77_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)
topic Hydrodynamics
Reynolds number
Scaling laws
Steady flow
Turbulence models
Vortex flow
Hydrodynamic turbulence
Nonlocal interactions
Taylor-Green vortex
Turbulent steady state
Flow interactions
spellingShingle Hydrodynamics
Reynolds number
Scaling laws
Steady flow
Turbulence models
Vortex flow
Hydrodynamic turbulence
Nonlocal interactions
Taylor-Green vortex
Turbulent steady state
Flow interactions
Mininni, Pablo Daniel
Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws
topic_facet Hydrodynamics
Reynolds number
Scaling laws
Steady flow
Turbulence models
Vortex flow
Hydrodynamic turbulence
Nonlocal interactions
Taylor-Green vortex
Turbulent steady state
Flow interactions
description We analyze the data stemming from a forced incompressible hydrodynamic simulation on a grid of 20483 regularly spaced points, with a Taylor Reynolds number of Rλ ∼1300. The forcing is given by the Taylor-Green vortex, which shares similarities with the von Kàrmàn flow used in several laboratory experiments; the computation is run for ten turnover times in the turbulent steady state. At this Reynolds number the anisotropic large scale flow pattern, the inertial range, the bottleneck, and the dissipative range are clearly visible, thus providing a good test case for the study of turbulence as it appears in nature. Triadic interactions, the locality of energy fluxes, and longitudinal structure functions of the velocity increments are computed. A comparison with runs at lower Reynolds numbers is performed and shows the emergence of scaling laws for the relative amplitude of local and nonlocal interactions in spectral space. Furthermore, the scaling of the Kolmogorov constant, and of skewness and flatness of velocity increments is consistent with previous experimental results. The accumulation of energy in the small scales associated with the bottleneck seems to occur on a span of wave numbers that is independent of the Reynolds number, possibly ruling out an inertial range explanation for it. Finally, intermittency exponents seem to depart from standard models at high Rλ, leaving the interpretation of intermittency an open problem. © 2008 The American Physical Society.
author Mininni, Pablo Daniel
author_facet Mininni, Pablo Daniel
author_sort Mininni, Pablo Daniel
title Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws
title_short Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws
title_full Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws
title_fullStr Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws
title_full_unstemmed Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws
title_sort nonlocal interactions in hydrodynamic turbulence at high reynolds numbers: the slow emergence of scaling laws
publishDate 2008
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v77_n3_p_Mininni
http://hdl.handle.net/20.500.12110/paper_15393755_v77_n3_p_Mininni
work_keys_str_mv AT mininnipablodaniel nonlocalinteractionsinhydrodynamicturbulenceathighreynoldsnumberstheslowemergenceofscalinglaws
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