The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd

We study decaying magnetohydrodynamics (MHD) turbulence stemming from the evolution of the Taylor-Green flow generalized recently to MHD, with equal viscosity and magnetic resistivity and up to equivalent grid resolutions of 20483 points. A pseudo-spectral code is used in which the symmetries of the...

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Detalles Bibliográficos
Autor principal: Mininni, Pablo Daniel
Publicado: 2010
Materias:
Alfvén waves
Current sheets folding
MHD
Symmetries
Turbulence
Universality
Computer time
Current sheets
Grid resolution
High Reynolds number
Initial conditions
Initial time
Magnetic energies
Magnetic resistivities
Magnetohydrodynamics turbulences
N-waves
Neutral fluids
Statistical properties
Taylor-Green flow
Taylor-Green vortex
Taylor-Reynolds number
Temporal evolution
Weak turbulence
Magnetic fields
Magnetohydrodynamics
Reynolds number
magnetic field
magnetohydrodynamics
turbulence
viscosity
vorticity
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03091929_v104_n2-3_p115_Pouquet
http://hdl.handle.net/20.500.12110/paper_03091929_v104_n2-3_p115_Pouquet
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_03091929_v104_n2-3_p115_Pouquet2023-06-08T15:31:50Z The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd Mininni, Pablo Daniel Alfvén waves Current sheets folding MHD Symmetries Turbulence Universality Computer time Current sheets Current sheets folding Grid resolution High Reynolds number Initial conditions Initial time Magnetic energies Magnetic resistivities Magnetohydrodynamics turbulences N-waves Neutral fluids Statistical properties Taylor-Green flow Taylor-Green vortex Taylor-Reynolds number Temporal evolution Weak turbulence Magnetic fields Magnetohydrodynamics Reynolds number Turbulence magnetic field magnetohydrodynamics Reynolds number turbulence viscosity vorticity We study decaying magnetohydrodynamics (MHD) turbulence stemming from the evolution of the Taylor-Green flow generalized recently to MHD, with equal viscosity and magnetic resistivity and up to equivalent grid resolutions of 20483 points. A pseudo-spectral code is used in which the symmetries of the velocity and magnetic fields have been implemented, allowing for sizable savings in both computer time and usage of memory at a given Reynolds number. The flow is non-helical, and at initial time the kinetic and magnetic energies are taken to be equal and concentrated in the large scales. After testing the validity of the method on grids of 5123 points, we analyze the data on the large grids up to Taylor Reynolds numbers of 2200. We find that the global temporal evolution is accelerated in MHD, compared to the corresponding neutral fluid case. We also observe an interval of time when such configurations have quasi-constant total dissipation, time during which statistical properties are determined after averaging over of the order of two turn-over times. A weak turbulence spectrum is obtained which is also given in terms of its anisotropic components. Finally, we contrast the development of small-scale eddies with two other initial conditions for the magnetic field and briefly discuss the structures that develop, and which display a complex array of current and vorticity sheets with clear rolling-up and folding. © 2010 Taylor & Francis. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03091929_v104_n2-3_p115_Pouquet http://hdl.handle.net/20.500.12110/paper_03091929_v104_n2-3_p115_Pouquet
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Alfvén waves
Current sheets folding
MHD
Symmetries
Turbulence
Universality
Computer time
Current sheets
Current sheets folding
Grid resolution
High Reynolds number
Initial conditions
Initial time
Magnetic energies
Magnetic resistivities
Magnetohydrodynamics turbulences
N-waves
Neutral fluids
Statistical properties
Taylor-Green flow
Taylor-Green vortex
Taylor-Reynolds number
Temporal evolution
Weak turbulence
Magnetic fields
Magnetohydrodynamics
Reynolds number
Turbulence
magnetic field
magnetohydrodynamics
Reynolds number
turbulence
viscosity
vorticity
spellingShingle Alfvén waves
Current sheets folding
MHD
Symmetries
Turbulence
Universality
Computer time
Current sheets
Current sheets folding
Grid resolution
High Reynolds number
Initial conditions
Initial time
Magnetic energies
Magnetic resistivities
Magnetohydrodynamics turbulences
N-waves
Neutral fluids
Statistical properties
Taylor-Green flow
Taylor-Green vortex
Taylor-Reynolds number
Temporal evolution
Weak turbulence
Magnetic fields
Magnetohydrodynamics
Reynolds number
Turbulence
magnetic field
magnetohydrodynamics
Reynolds number
turbulence
viscosity
vorticity
Mininni, Pablo Daniel
The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd
topic_facet Alfvén waves
Current sheets folding
MHD
Symmetries
Turbulence
Universality
Computer time
Current sheets
Current sheets folding
Grid resolution
High Reynolds number
Initial conditions
Initial time
Magnetic energies
Magnetic resistivities
Magnetohydrodynamics turbulences
N-waves
Neutral fluids
Statistical properties
Taylor-Green flow
Taylor-Green vortex
Taylor-Reynolds number
Temporal evolution
Weak turbulence
Magnetic fields
Magnetohydrodynamics
Reynolds number
Turbulence
magnetic field
magnetohydrodynamics
Reynolds number
turbulence
viscosity
vorticity
description We study decaying magnetohydrodynamics (MHD) turbulence stemming from the evolution of the Taylor-Green flow generalized recently to MHD, with equal viscosity and magnetic resistivity and up to equivalent grid resolutions of 20483 points. A pseudo-spectral code is used in which the symmetries of the velocity and magnetic fields have been implemented, allowing for sizable savings in both computer time and usage of memory at a given Reynolds number. The flow is non-helical, and at initial time the kinetic and magnetic energies are taken to be equal and concentrated in the large scales. After testing the validity of the method on grids of 5123 points, we analyze the data on the large grids up to Taylor Reynolds numbers of 2200. We find that the global temporal evolution is accelerated in MHD, compared to the corresponding neutral fluid case. We also observe an interval of time when such configurations have quasi-constant total dissipation, time during which statistical properties are determined after averaging over of the order of two turn-over times. A weak turbulence spectrum is obtained which is also given in terms of its anisotropic components. Finally, we contrast the development of small-scale eddies with two other initial conditions for the magnetic field and briefly discuss the structures that develop, and which display a complex array of current and vorticity sheets with clear rolling-up and folding. © 2010 Taylor & Francis.
author Mininni, Pablo Daniel
author_facet Mininni, Pablo Daniel
author_sort Mininni, Pablo Daniel
title The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd
title_short The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd
title_full The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd
title_fullStr The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd
title_full_unstemmed The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd
title_sort dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03091929_v104_n2-3_p115_Pouquet
http://hdl.handle.net/20.500.12110/paper_03091929_v104_n2-3_p115_Pouquet
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AT mininnipablodaniel dynamicsofunforcedturbulenceathighreynoldsnumberfortaylorgreenvorticesgeneralizedtomhd
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