High Reynolds number magnetohydrodynamic turbulence using a Lagrangian model

With the help of a model of magnetohydrodynamic (MHD) turbulence tested previously, we explore high Reynolds number regimes up to equivalent resolutions of 60003 grid points in the absence of forcing and with no imposed uniform magnetic field. For the given initial condition chosen here, with equal...

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Detalles Bibliográficos
Autor principal: Mininni, Pablo Daniel
Publicado: 2011
Materias:
Anisotropic magnetic fields
Energy spectra
Grid points
Helicities
High Reynolds number
Initial conditions
Kolmogorov law
Lagrangian models
Local mean
Magnetic energies
Magnetic helicity
Magnetic modes
Magnetohydrodynamic turbulence
MHD flow
Residual energy
Turnover time
Wave numbers
Anisotropy
Lagrange multipliers
Magnetic fields
Reynolds number
Spectroscopy
Turbulence
Magnetohydrodynamics
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v84_n1_p_PietarilaGraham
http://hdl.handle.net/20.500.12110/paper_15393755_v84_n1_p_PietarilaGraham
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_15393755_v84_n1_p_PietarilaGraham2025-07-30T18:56:31Z High Reynolds number magnetohydrodynamic turbulence using a Lagrangian model Mininni, Pablo Daniel Anisotropic magnetic fields Energy spectra Grid points Helicities High Reynolds number Initial conditions Kolmogorov law Lagrangian models Local mean Magnetic energies Magnetic helicity Magnetic modes Magnetohydrodynamic turbulence MHD flow Residual energy Turnover time Wave numbers Anisotropy Lagrange multipliers Magnetic fields Reynolds number Spectroscopy Turbulence Magnetohydrodynamics With the help of a model of magnetohydrodynamic (MHD) turbulence tested previously, we explore high Reynolds number regimes up to equivalent resolutions of 60003 grid points in the absence of forcing and with no imposed uniform magnetic field. For the given initial condition chosen here, with equal kinetic and magnetic energy, the flow ends up being dominated by the magnetic field, and the dynamics leads to an isotropic Iroshnikov-Kraichnan energy spectrum. However, the locally anisotropic magnetic field fluctuations perpendicular to the local mean field follow a Kolmogorov law. We find that the ratio of the eddy turnover time to the Alfvén time increases with wave number, contrary to the so-called critical balance hypothesis. Residual energy and helicity spectra are also considered; the role played by the conservation of magnetic helicity is studied, and scaling laws are found for the magnetic helicity and residual helicity spectra. We put these results in the context of the dynamics of a globally isotropic MHD flow that is locally anisotropic because of the influence of the strong large-scale magnetic field, leading to a partial equilibration between kinetic and magnetic modes for the energy and the helicity. © 2011 American Physical Society. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v84_n1_p_PietarilaGraham http://hdl.handle.net/20.500.12110/paper_15393755_v84_n1_p_PietarilaGraham
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Anisotropic magnetic fields
Energy spectra
Grid points
Helicities
High Reynolds number
Initial conditions
Kolmogorov law
Lagrangian models
Local mean
Magnetic energies
Magnetic helicity
Magnetic modes
Magnetohydrodynamic turbulence
MHD flow
Residual energy
Turnover time
Wave numbers
Anisotropy
Lagrange multipliers
Magnetic fields
Reynolds number
Spectroscopy
Turbulence
Magnetohydrodynamics
spellingShingle Anisotropic magnetic fields
Energy spectra
Grid points
Helicities
High Reynolds number
Initial conditions
Kolmogorov law
Lagrangian models
Local mean
Magnetic energies
Magnetic helicity
Magnetic modes
Magnetohydrodynamic turbulence
MHD flow
Residual energy
Turnover time
Wave numbers
Anisotropy
Lagrange multipliers
Magnetic fields
Reynolds number
Spectroscopy
Turbulence
Magnetohydrodynamics
Mininni, Pablo Daniel
High Reynolds number magnetohydrodynamic turbulence using a Lagrangian model
topic_facet Anisotropic magnetic fields
Energy spectra
Grid points
Helicities
High Reynolds number
Initial conditions
Kolmogorov law
Lagrangian models
Local mean
Magnetic energies
Magnetic helicity
Magnetic modes
Magnetohydrodynamic turbulence
MHD flow
Residual energy
Turnover time
Wave numbers
Anisotropy
Lagrange multipliers
Magnetic fields
Reynolds number
Spectroscopy
Turbulence
Magnetohydrodynamics
description With the help of a model of magnetohydrodynamic (MHD) turbulence tested previously, we explore high Reynolds number regimes up to equivalent resolutions of 60003 grid points in the absence of forcing and with no imposed uniform magnetic field. For the given initial condition chosen here, with equal kinetic and magnetic energy, the flow ends up being dominated by the magnetic field, and the dynamics leads to an isotropic Iroshnikov-Kraichnan energy spectrum. However, the locally anisotropic magnetic field fluctuations perpendicular to the local mean field follow a Kolmogorov law. We find that the ratio of the eddy turnover time to the Alfvén time increases with wave number, contrary to the so-called critical balance hypothesis. Residual energy and helicity spectra are also considered; the role played by the conservation of magnetic helicity is studied, and scaling laws are found for the magnetic helicity and residual helicity spectra. We put these results in the context of the dynamics of a globally isotropic MHD flow that is locally anisotropic because of the influence of the strong large-scale magnetic field, leading to a partial equilibration between kinetic and magnetic modes for the energy and the helicity. © 2011 American Physical Society.
author Mininni, Pablo Daniel
author_facet Mininni, Pablo Daniel
author_sort Mininni, Pablo Daniel
title High Reynolds number magnetohydrodynamic turbulence using a Lagrangian model
title_short High Reynolds number magnetohydrodynamic turbulence using a Lagrangian model
title_full High Reynolds number magnetohydrodynamic turbulence using a Lagrangian model
title_fullStr High Reynolds number magnetohydrodynamic turbulence using a Lagrangian model
title_full_unstemmed High Reynolds number magnetohydrodynamic turbulence using a Lagrangian model
title_sort high reynolds number magnetohydrodynamic turbulence using a lagrangian model
publishDate 2011
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v84_n1_p_PietarilaGraham
http://hdl.handle.net/20.500.12110/paper_15393755_v84_n1_p_PietarilaGraham
work_keys_str_mv AT mininnipablodaniel highreynoldsnumbermagnetohydrodynamicturbulenceusingalagrangianmodel
_version_ 1840320860030763008

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